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Phase-coherent detection of an optical dipole force by Doppler velocimetryM. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger »View Author Affiliations
M. J. Biercuk,1,2,*
H. Uys,1,3
J. W. Britton,1
A. P. VanDevender,1
and J. J. Bollinger1
1National Institute of Standards and Technology, Ion Storage Group, Boulder, CO 80305 2School of Physics, The University of Sydney, NSW 2006 Australia 3National Laser Centre, Council of Scientific and Industrial Research, Pretoria, South Africa |
Optics Express, Vol. 19, Issue 11, pp. 10304-10316 (2011)
http://dx.doi.org/10.1364/OE.19.010304
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Abstract
We report phase-coherent Doppler detection of optical dipole forces using large ion crystals in a Penning trap. The technique is based on laser Doppler velocimetry using a cycling transition in 9Be+ near 313 nm and the center-of-mass (COM) ion motional mode. The optical dipole force is tuned to excite the COM mode, and measurements of photon arrival times synchronized with the excitation potential show oscillations with a period commensurate with the COM motional frequency. Experimental results compare well with a quantitative model for a driven harmonic oscillator. This technique permits characterization of motional modes in ion crystals; the measurement of both frequency and phase information relative to the driving force is a key enabling capability – comparable to lockin detection – providing access to a parameter that is typically not available in time-averaged measurements. This additional information facilitates discrimination of nearly degenerate motional modes.
© 2011 OSA
OCIS Codes
(020.0020) Atomic and molecular physics : Atomic and molecular physics
(280.3340) Remote sensing and sensors : Laser Doppler velocimetry
(270.5585) Quantum optics : Quantum information and processing
ToC Category:
Atomic and Molecular Physics
History
Original Manuscript: March 18, 2011
Revised Manuscript: April 19, 2011
Manuscript Accepted: May 3, 2011
Published: May 10, 2011
Citation
M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, "Phase-coherent detection of an optical dipole force by Doppler velocimetry," Opt. Express 19, 10304-10316 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-11-10304
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References
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- T. B. Mitchell, J. J. Bollinger, X.-P. Huang, and W. M. Itano, “Doppler imaging of plasma modes in a Penning trap,” Opt. Express 2, 314–322 (1998). [PubMed]
- D. J. Berkeland, J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, “Minimization of ion micromotion in a Paul trap,” J. Appl. Phys. 83, 5025–5033 (1998).
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- J. J. Bollinger and D. J. Wineland, “Strongly coupled nonneutral ion plasma,” Phys. Rev. Lett. 53, 348–351 (1984).
- L. R. Brewer, J. D. Prestage, J. J. Bollinger, W. M. Itano, D. J. Larson, and D. J. Wineland, “Static properties of a non-neutral 9Be+ ion plasma,” Phys. Rev. A 38, 859–873 (1988). [PubMed]
- M. J. Jensen, T. Hasegawa, and J. J. Bollinger, “Temperature and heating rate of ion crystals in Penning traps,” Phys. Rev. A 70, 033401 (2004).
- M. J. Jensen, T. Hasegawa, J. J. Bollinger, and D. H. E. Dubin, “Rapid heating of a strongly coupled plasma near the solid-liquid phase transition,” Phys. Rev. Lett. 94, 025001 (2005). [PubMed]
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- X.-P. Huang, J. J. Bollinger, T. B. Mitchell, and W. M. Itano, “Phase-locked rotation of crystallized non-neutral plasmas by rotating electric fields,” Phys. Rev. Lett. 80, 73–76 (1998).
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Barrett, M.
Baughman, R. H.
Becher, C.
Bechter, W.
Benhelm, J.
Ben-Kish, A.
Bergquist, J. C.
Berkeland, D. J.
Biercuk, M. J.
Blakestad, R. B.
Blatt, R.
Bollinger, J. J.
Brewer, L. R.
Britton, J.
Britton, J. W.
Campbell, W. C.
Chang, M.-S.
Chek-al-kar, D.
Chwalla, M.
Cirac, J. J.
DeMarco, B.
Deuschle, T.
Duan, L.-M.
Dubin, D. H. E.
Dur, W.
Edwards, E. E.
Eschner, J.
Freericks, J. K.
Gerritsma, R.
Guhne, O.
Gulde, S.
Haffner, H.
Hansel, W.
Hasegawa, T.
Hayes, D.
Huang, X.-P.
Islam, R.
Itano, W. M.
Jelenkovic, B.
Jelenkovic, B. M.
Jensen, M. J.
Jost, J.
Kielpinski, D.
Kim, K.
King, B.
King, B. E.
Kirchmair, G.
Knill, E.
Korber, T.
Korenblit, S.
Lancaster, G. P. T.
Langer, C.
Larson, D. J.
Leibfried, D.
Lin, G.-D.
Lucas, D.
Marquardt, D.
Matsukevich, D. N.
Maunz, P.
Meekhof, D.
Meekhof, D. M.
Meyer, V.
Miller, J. D.
Mitchell, T. B.
Mizrahi, J.
Monroe, C.
Myatt, C.
Myatt, C. J.
Nagerl, H. C.
Olmschenk, S.
Ozeri, R.
Porras, D.
Prestage, J. D.
Quraihi, Q.
Rapol, U. D.
Reichle, R.
Riebe, M.
Roos, C. F.
Rosenband, T.
Rowe, M.
Sackett, C. A.
Schmidt, P. O.
Schmidt-Kaler, F.
Seidelin, S.
Senko, C.
Shiga, N.
Solano, E.
Tan, J. N.
Turchette, Q. A.
Uys, H.
VanDevender, A. P.
von Delft, J.
Wineland, D. J.
Wood, C. S.
Zahringer, F.
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
- T. B. Mitchell, J. J. Bollinger, D. H. E. Dubin, X.-P. Huang, W. M. Itano, and R. H. Baughman, “Direct observations of structural phase transitions in planar crystallized ion plasmas,” Science 282, 1290–1293 (1998). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [PubMed]
- H. C. Nagerl, W. Bechter, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Ion strings for quantum gates,” Appl. Phys. B 66, 603–608 (1998).
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
- P. O. Schmidt, T. Rosenband, C. Langer, W. M. Itano, J. C. Bergquist, and D. J. Wineland, “Spectroscopy using quantum logic,” Science. 309, 749–752 (2005). [PubMed]
- D. J. Berkeland, J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, “Minimization of ion micromotion in a Paul trap,” J. Appl. Phys. 83, 5025–5033 (1998).
- D. J. Berkeland, J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, “Minimization of ion micromotion in a Paul trap,” J. Appl. Phys. 83, 5025–5033 (1998).
- M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, “Ultrasensitive detection of force and displacement using trapped ions,” Nat. Nanotechnol. 5, 646–650 (2010). [PubMed]
- M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, “High-fidelity quantum control using ion crystals in a Penning trap,” Quantum Inf. Comput. 9, 920–949 (2009).
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- R. Gerritsma, G. Kirchmair, F. Zahringer, E. Solano, R. Blatt, and C. F. Roos, “Quantum simulation of the Dirac equation,” Nature 463, 68–71 (2010). [PubMed]
- R. Blatt and D. J. Wineland, “Entangled states of trapped atomic ions,” Nature 453, 1008–1014 (2008). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [PubMed]
- H. C. Nagerl, W. Bechter, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Ion strings for quantum gates,” Appl. Phys. B 66, 603–608 (1998).
- M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, “Ultrasensitive detection of force and displacement using trapped ions,” Nat. Nanotechnol. 5, 646–650 (2010). [PubMed]
- M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, “High-fidelity quantum control using ion crystals in a Penning trap,” Quantum Inf. Comput. 9, 920–949 (2009).
- M. J. Jensen, T. Hasegawa, J. J. Bollinger, and D. H. E. Dubin, “Rapid heating of a strongly coupled plasma near the solid-liquid phase transition,” Phys. Rev. Lett. 94, 025001 (2005). [PubMed]
- M. J. Jensen, T. Hasegawa, and J. J. Bollinger, “Temperature and heating rate of ion crystals in Penning traps,” Phys. Rev. A 70, 033401 (2004).
- J. J. Bollinger, T. B. Mitchell, X.-P. Huang, W. M. Itano, J. N. Tan, B. M. Jelenkovic, and D. J. Wineland, “Crystalline order in laser-cooled, nonneutral ion plasmas,” Phys. Plasmas 7, 7–13 (2000).
- T. B. Mitchell, J. J. Bollinger, D. H. E. Dubin, X.-P. Huang, W. M. Itano, and R. H. Baughman, “Direct observations of structural phase transitions in planar crystallized ion plasmas,” Science 282, 1290–1293 (1998). [PubMed]
- T. B. Mitchell, J. J. Bollinger, X.-P. Huang, and W. M. Itano, “Doppler imaging of plasma modes in a Penning trap,” Opt. Express 2, 314–322 (1998). [PubMed]
- W. M. Itano, J. J. Bollinger, J. N. Tan, B. Jelenković, X.-P. Huang, and D. J. Wineland, “Bragg diffraction from crystallized ion plasmas,” Science 279, 686–689 (1998). [PubMed]
- X.-P. Huang, J. J. Bollinger, T. B. Mitchell, and W. M. Itano, “Phase-locked rotation of crystallized non-neutral plasmas by rotating electric fields,” Phys. Rev. Lett. 80, 73–76 (1998).
- X.-P. Huang, J. J. Bollinger, T. B. Mitchell, W. M. Itano, and D. H. E. Dubin, “Precise control of the global rotation of strongly coupled ion plasmas in a Penning trap,” Phys. Plasmas 5, 1656–1663 (1998).
- J. J. Bollinger, D. J. Wineland, and D. H. E. Dubin, “Non-neutral ion plasmas and crystals, laser cooling, and atomic clocks,” Phys. Plasmas 1, 1403–1414 (1994).
- L. R. Brewer, J. D. Prestage, J. J. Bollinger, W. M. Itano, D. J. Larson, and D. J. Wineland, “Static properties of a non-neutral 9Be+ ion plasma,” Phys. Rev. A 38, 859–873 (1988). [PubMed]
- J. J. Bollinger and D. J. Wineland, “Strongly coupled nonneutral ion plasma,” Phys. Rev. Lett. 53, 348–351 (1984).
- L. R. Brewer, J. D. Prestage, J. J. Bollinger, W. M. Itano, D. J. Larson, and D. J. Wineland, “Static properties of a non-neutral 9Be+ ion plasma,” Phys. Rev. A 38, 859–873 (1988). [PubMed]
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
- M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, “Ultrasensitive detection of force and displacement using trapped ions,” Nat. Nanotechnol. 5, 646–650 (2010). [PubMed]
- W. C. Campbell, J. Mizrahi, Q. Quraihi, C. Senko, D. Hayes, D. N. Matsukevich, P. Maunz, and C. Monroe, “Ultrafast gates for single atomic qubits,” Phys. Rev. Lett. 105, 090502 (2010). [PubMed]
- K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, “Quantum simulation of frustrated Ising spins with trapped ions,” Nature 465, 590–593 (2010). [PubMed]
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- D. Porras, D. Marquardt, J. von Delft, and J. J. Cirac, “Mesoscopic spin-boson models of trapped ions,” Phys. Rev. A 78, 010101 (2008).
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
- F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [PubMed]
- K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, “Quantum simulation of frustrated Ising spins with trapped ions,” Nature 465, 590–593 (2010). [PubMed]
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
- S. Olmschenk, D. N. Matsukevich, P. Maunz, D. Hayes, L.-M. Duan, and C. Monroe, “Quantum teleportation between distant matter qubits,” Science 323, 486–489 (2009). [PubMed]
- M. J. Jensen, T. Hasegawa, J. J. Bollinger, and D. H. E. Dubin, “Rapid heating of a strongly coupled plasma near the solid-liquid phase transition,” Phys. Rev. Lett. 94, 025001 (2005). [PubMed]
- X.-P. Huang, J. J. Bollinger, T. B. Mitchell, W. M. Itano, and D. H. E. Dubin, “Precise control of the global rotation of strongly coupled ion plasmas in a Penning trap,” Phys. Plasmas 5, 1656–1663 (1998).
- T. B. Mitchell, J. J. Bollinger, D. H. E. Dubin, X.-P. Huang, W. M. Itano, and R. H. Baughman, “Direct observations of structural phase transitions in planar crystallized ion plasmas,” Science 282, 1290–1293 (1998). [PubMed]
- J. J. Bollinger, D. J. Wineland, and D. H. E. Dubin, “Non-neutral ion plasmas and crystals, laser cooling, and atomic clocks,” Phys. Plasmas 1, 1403–1414 (1994).
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- X.-P. Huang, J. J. Bollinger, T. B. Mitchell, and W. M. Itano, “Phase-locked rotation of crystallized non-neutral plasmas by rotating electric fields,” Phys. Rev. Lett. 80, 73–76 (1998).
- K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, “Quantum simulation of frustrated Ising spins with trapped ions,” Nature 465, 590–593 (2010). [PubMed]
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- T. B. Mitchell, J. J. Bollinger, X.-P. Huang, and W. M. Itano, “Doppler imaging of plasma modes in a Penning trap,” Opt. Express 2, 314–322 (1998). [PubMed]
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- X.-P. Huang, J. J. Bollinger, T. B. Mitchell, and W. M. Itano, “Phase-locked rotation of crystallized non-neutral plasmas by rotating electric fields,” Phys. Rev. Lett. 80, 73–76 (1998).
- X.-P. Huang, J. J. Bollinger, T. B. Mitchell, W. M. Itano, and D. H. E. Dubin, “Precise control of the global rotation of strongly coupled ion plasmas in a Penning trap,” Phys. Plasmas 5, 1656–1663 (1998).
- W. M. Itano, J. J. Bollinger, J. N. Tan, B. Jelenković, X.-P. Huang, and D. J. Wineland, “Bragg diffraction from crystallized ion plasmas,” Science 279, 686–689 (1998). [PubMed]
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- D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. Meekhof, “Experimental issues in coherent quantum-state manipulation of trapped atomic ions,” J. Res. Natl. Inst. Stand. Technol. 103, 259–328 (1998).
- B. King, C. Myatt, Q. A. Turchette, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Cooling the collective motion of trapped ions to initialize a quantum register,” Phys. Rev. Lett. 81, 1525–1528 (1998).
- D. J. Wineland, C. Monroe, W. M. Itano, B. E. King, D. Leibfried, C. J. Myatt, and C. S. Wood, “Trapped-ion quantum simulator,” Phys. Scr. T76, 147–151 (1998).
- C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, “Demonstration of a fundamental quantum logic gate,” Phys. Rev. Lett. 75, 4714–4717 (1995). [PubMed]
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- J. J. Bollinger, T. B. Mitchell, X.-P. Huang, W. M. Itano, J. N. Tan, B. M. Jelenkovic, and D. J. Wineland, “Crystalline order in laser-cooled, nonneutral ion plasmas,” Phys. Plasmas 7, 7–13 (2000).
- M. J. Jensen, T. Hasegawa, J. J. Bollinger, and D. H. E. Dubin, “Rapid heating of a strongly coupled plasma near the solid-liquid phase transition,” Phys. Rev. Lett. 94, 025001 (2005). [PubMed]
- M. J. Jensen, T. Hasegawa, and J. J. Bollinger, “Temperature and heating rate of ion crystals in Penning traps,” Phys. Rev. A 70, 033401 (2004).
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
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- K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, “Quantum simulation of frustrated Ising spins with trapped ions,” Nature 465, 590–593 (2010). [PubMed]
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
- B. King, C. Myatt, Q. A. Turchette, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Cooling the collective motion of trapped ions to initialize a quantum register,” Phys. Rev. Lett. 81, 1525–1528 (1998).
- C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000). [PubMed]
- Q. A. Turchette, C. S. Wood, B. E. King, C. J. Myatt, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Deterministic entanglement of two ions,” Phys. Rev. Lett. 81, 3631–3634 (1998).
- D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. Meekhof, “Experimental issues in coherent quantum-state manipulation of trapped atomic ions,” J. Res. Natl. Inst. Stand. Technol. 103, 259–328 (1998).
- D. J. Wineland, C. Monroe, W. M. Itano, B. E. King, D. Leibfried, C. J. Myatt, and C. S. Wood, “Trapped-ion quantum simulator,” Phys. Scr. T76, 147–151 (1998).
- C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, “Demonstration of a fundamental quantum logic gate,” Phys. Rev. Lett. 75, 4714–4717 (1995). [PubMed]
- R. Gerritsma, G. Kirchmair, F. Zahringer, E. Solano, R. Blatt, and C. F. Roos, “Quantum simulation of the Dirac equation,” Nature 463, 68–71 (2010). [PubMed]
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, “Quantum simulation of frustrated Ising spins with trapped ions,” Nature 465, 590–593 (2010). [PubMed]
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
- F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [PubMed]
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- P. O. Schmidt, T. Rosenband, C. Langer, W. M. Itano, J. C. Bergquist, and D. J. Wineland, “Spectroscopy using quantum logic,” Science. 309, 749–752 (2005). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
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- L. R. Brewer, J. D. Prestage, J. J. Bollinger, W. M. Itano, D. J. Larson, and D. J. Wineland, “Static properties of a non-neutral 9Be+ ion plasma,” Phys. Rev. A 38, 859–873 (1988). [PubMed]
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
- D. J. Wineland, C. Monroe, W. M. Itano, B. E. King, D. Leibfried, C. J. Myatt, and C. S. Wood, “Trapped-ion quantum simulator,” Phys. Scr. T76, 147–151 (1998).
- B. King, C. Myatt, Q. A. Turchette, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Cooling the collective motion of trapped ions to initialize a quantum register,” Phys. Rev. Lett. 81, 1525–1528 (1998).
- Q. A. Turchette, C. S. Wood, B. E. King, C. J. Myatt, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Deterministic entanglement of two ions,” Phys. Rev. Lett. 81, 3631–3634 (1998).
- D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. Meekhof, “Experimental issues in coherent quantum-state manipulation of trapped atomic ions,” J. Res. Natl. Inst. Stand. Technol. 103, 259–328 (1998).
- K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, “Quantum simulation of frustrated Ising spins with trapped ions,” Nature 465, 590–593 (2010). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
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- S. Olmschenk, D. N. Matsukevich, P. Maunz, D. Hayes, L.-M. Duan, and C. Monroe, “Quantum teleportation between distant matter qubits,” Science 323, 486–489 (2009). [PubMed]
- W. C. Campbell, J. Mizrahi, Q. Quraihi, C. Senko, D. Hayes, D. N. Matsukevich, P. Maunz, and C. Monroe, “Ultrafast gates for single atomic qubits,” Phys. Rev. Lett. 105, 090502 (2010). [PubMed]
- S. Olmschenk, D. N. Matsukevich, P. Maunz, D. Hayes, L.-M. Duan, and C. Monroe, “Quantum teleportation between distant matter qubits,” Science 323, 486–489 (2009). [PubMed]
- D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. Meekhof, “Experimental issues in coherent quantum-state manipulation of trapped atomic ions,” J. Res. Natl. Inst. Stand. Technol. 103, 259–328 (1998).
- C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, “Demonstration of a fundamental quantum logic gate,” Phys. Rev. Lett. 75, 4714–4717 (1995). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
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- D. J. Berkeland, J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, “Minimization of ion micromotion in a Paul trap,” J. Appl. Phys. 83, 5025–5033 (1998).
- J. J. Bollinger, T. B. Mitchell, X.-P. Huang, W. M. Itano, J. N. Tan, B. M. Jelenkovic, and D. J. Wineland, “Crystalline order in laser-cooled, nonneutral ion plasmas,” Phys. Plasmas 7, 7–13 (2000).
- T. B. Mitchell, J. J. Bollinger, X.-P. Huang, and W. M. Itano, “Doppler imaging of plasma modes in a Penning trap,” Opt. Express 2, 314–322 (1998). [PubMed]
- T. B. Mitchell, J. J. Bollinger, D. H. E. Dubin, X.-P. Huang, W. M. Itano, and R. H. Baughman, “Direct observations of structural phase transitions in planar crystallized ion plasmas,” Science 282, 1290–1293 (1998). [PubMed]
- X.-P. Huang, J. J. Bollinger, T. B. Mitchell, and W. M. Itano, “Phase-locked rotation of crystallized non-neutral plasmas by rotating electric fields,” Phys. Rev. Lett. 80, 73–76 (1998).
- X.-P. Huang, J. J. Bollinger, T. B. Mitchell, W. M. Itano, and D. H. E. Dubin, “Precise control of the global rotation of strongly coupled ion plasmas in a Penning trap,” Phys. Plasmas 5, 1656–1663 (1998).
- W. C. Campbell, J. Mizrahi, Q. Quraihi, C. Senko, D. Hayes, D. N. Matsukevich, P. Maunz, and C. Monroe, “Ultrafast gates for single atomic qubits,” Phys. Rev. Lett. 105, 090502 (2010). [PubMed]
- W. C. Campbell, J. Mizrahi, Q. Quraihi, C. Senko, D. Hayes, D. N. Matsukevich, P. Maunz, and C. Monroe, “Ultrafast gates for single atomic qubits,” Phys. Rev. Lett. 105, 090502 (2010). [PubMed]
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- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
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- D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. Meekhof, “Experimental issues in coherent quantum-state manipulation of trapped atomic ions,” J. Res. Natl. Inst. Stand. Technol. 103, 259–328 (1998).
- D. J. Wineland, C. Monroe, W. M. Itano, B. E. King, D. Leibfried, C. J. Myatt, and C. S. Wood, “Trapped-ion quantum simulator,” Phys. Scr. T76, 147–151 (1998).
- B. King, C. Myatt, Q. A. Turchette, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Cooling the collective motion of trapped ions to initialize a quantum register,” Phys. Rev. Lett. 81, 1525–1528 (1998).
- C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, “Demonstration of a fundamental quantum logic gate,” Phys. Rev. Lett. 75, 4714–4717 (1995). [PubMed]
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- C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000). [PubMed]
- Q. A. Turchette, C. S. Wood, B. E. King, C. J. Myatt, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Deterministic entanglement of two ions,” Phys. Rev. Lett. 81, 3631–3634 (1998).
- D. J. Wineland, C. Monroe, W. M. Itano, B. E. King, D. Leibfried, C. J. Myatt, and C. S. Wood, “Trapped-ion quantum simulator,” Phys. Scr. T76, 147–151 (1998).
- H. C. Nagerl, W. Bechter, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Ion strings for quantum gates,” Appl. Phys. B 66, 603–608 (1998).
- S. Olmschenk, D. N. Matsukevich, P. Maunz, D. Hayes, L.-M. Duan, and C. Monroe, “Quantum teleportation between distant matter qubits,” Science 323, 486–489 (2009). [PubMed]
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- D. Porras, D. Marquardt, J. von Delft, and J. J. Cirac, “Mesoscopic spin-boson models of trapped ions,” Phys. Rev. A 78, 010101 (2008).
- L. R. Brewer, J. D. Prestage, J. J. Bollinger, W. M. Itano, D. J. Larson, and D. J. Wineland, “Static properties of a non-neutral 9Be+ ion plasma,” Phys. Rev. A 38, 859–873 (1988). [PubMed]
- W. C. Campbell, J. Mizrahi, Q. Quraihi, C. Senko, D. Hayes, D. N. Matsukevich, P. Maunz, and C. Monroe, “Ultrafast gates for single atomic qubits,” Phys. Rev. Lett. 105, 090502 (2010). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [PubMed]
- R. Gerritsma, G. Kirchmair, F. Zahringer, E. Solano, R. Blatt, and C. F. Roos, “Quantum simulation of the Dirac equation,” Nature 463, 68–71 (2010). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [PubMed]
- P. O. Schmidt, T. Rosenband, C. Langer, W. M. Itano, J. C. Bergquist, and D. J. Wineland, “Spectroscopy using quantum logic,” Science. 309, 749–752 (2005). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
- C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000). [PubMed]
- C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- P. O. Schmidt, T. Rosenband, C. Langer, W. M. Itano, J. C. Bergquist, and D. J. Wineland, “Spectroscopy using quantum logic,” Science. 309, 749–752 (2005). [PubMed]
- F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [PubMed]
- H. C. Nagerl, W. Bechter, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Ion strings for quantum gates,” Appl. Phys. B 66, 603–608 (1998).
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- W. C. Campbell, J. Mizrahi, Q. Quraihi, C. Senko, D. Hayes, D. N. Matsukevich, P. Maunz, and C. Monroe, “Ultrafast gates for single atomic qubits,” Phys. Rev. Lett. 105, 090502 (2010). [PubMed]
- M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, “High-fidelity quantum control using ion crystals in a Penning trap,” Quantum Inf. Comput. 9, 920–949 (2009).
- R. Gerritsma, G. Kirchmair, F. Zahringer, E. Solano, R. Blatt, and C. F. Roos, “Quantum simulation of the Dirac equation,” Nature 463, 68–71 (2010). [PubMed]
- J. J. Bollinger, T. B. Mitchell, X.-P. Huang, W. M. Itano, J. N. Tan, B. M. Jelenkovic, and D. J. Wineland, “Crystalline order in laser-cooled, nonneutral ion plasmas,” Phys. Plasmas 7, 7–13 (2000).
- W. M. Itano, J. J. Bollinger, J. N. Tan, B. Jelenković, X.-P. Huang, and D. J. Wineland, “Bragg diffraction from crystallized ion plasmas,” Science 279, 686–689 (1998). [PubMed]
- C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000). [PubMed]
- Q. A. Turchette, C. S. Wood, B. E. King, C. J. Myatt, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Deterministic entanglement of two ions,” Phys. Rev. Lett. 81, 3631–3634 (1998).
- B. King, C. Myatt, Q. A. Turchette, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Cooling the collective motion of trapped ions to initialize a quantum register,” Phys. Rev. Lett. 81, 1525–1528 (1998).
- M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, “Ultrasensitive detection of force and displacement using trapped ions,” Nat. Nanotechnol. 5, 646–650 (2010). [PubMed]
- M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, “High-fidelity quantum control using ion crystals in a Penning trap,” Quantum Inf. Comput. 9, 920–949 (2009).
- M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, “Ultrasensitive detection of force and displacement using trapped ions,” Nat. Nanotechnol. 5, 646–650 (2010). [PubMed]
- M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, “High-fidelity quantum control using ion crystals in a Penning trap,” Quantum Inf. Comput. 9, 920–949 (2009).
- D. Porras, D. Marquardt, J. von Delft, and J. J. Cirac, “Mesoscopic spin-boson models of trapped ions,” Phys. Rev. A 78, 010101 (2008).
- R. Blatt and D. J. Wineland, “Entangled states of trapped atomic ions,” Nature 453, 1008–1014 (2008). [PubMed]
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- P. O. Schmidt, T. Rosenband, C. Langer, W. M. Itano, J. C. Bergquist, and D. J. Wineland, “Spectroscopy using quantum logic,” Science. 309, 749–752 (2005). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
- C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000). [PubMed]
- J. J. Bollinger, T. B. Mitchell, X.-P. Huang, W. M. Itano, J. N. Tan, B. M. Jelenkovic, and D. J. Wineland, “Crystalline order in laser-cooled, nonneutral ion plasmas,” Phys. Plasmas 7, 7–13 (2000).
- D. J. Berkeland, J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, “Minimization of ion micromotion in a Paul trap,” J. Appl. Phys. 83, 5025–5033 (1998).
- W. M. Itano, J. J. Bollinger, J. N. Tan, B. Jelenković, X.-P. Huang, and D. J. Wineland, “Bragg diffraction from crystallized ion plasmas,” Science 279, 686–689 (1998). [PubMed]
- Q. A. Turchette, C. S. Wood, B. E. King, C. J. Myatt, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Deterministic entanglement of two ions,” Phys. Rev. Lett. 81, 3631–3634 (1998).
- D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. Meekhof, “Experimental issues in coherent quantum-state manipulation of trapped atomic ions,” J. Res. Natl. Inst. Stand. Technol. 103, 259–328 (1998).
- B. King, C. Myatt, Q. A. Turchette, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Cooling the collective motion of trapped ions to initialize a quantum register,” Phys. Rev. Lett. 81, 1525–1528 (1998).
- D. J. Wineland, C. Monroe, W. M. Itano, B. E. King, D. Leibfried, C. J. Myatt, and C. S. Wood, “Trapped-ion quantum simulator,” Phys. Scr. T76, 147–151 (1998).
- C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, “Demonstration of a fundamental quantum logic gate,” Phys. Rev. Lett. 75, 4714–4717 (1995). [PubMed]
- J. J. Bollinger, D. J. Wineland, and D. H. E. Dubin, “Non-neutral ion plasmas and crystals, laser cooling, and atomic clocks,” Phys. Plasmas 1, 1403–1414 (1994).
- L. R. Brewer, J. D. Prestage, J. J. Bollinger, W. M. Itano, D. J. Larson, and D. J. Wineland, “Static properties of a non-neutral 9Be+ ion plasma,” Phys. Rev. A 38, 859–873 (1988). [PubMed]
- J. J. Bollinger and D. J. Wineland, “Strongly coupled nonneutral ion plasma,” Phys. Rev. Lett. 53, 348–351 (1984).
- Q. A. Turchette, C. S. Wood, B. E. King, C. J. Myatt, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Deterministic entanglement of two ions,” Phys. Rev. Lett. 81, 3631–3634 (1998).
- D. J. Wineland, C. Monroe, W. M. Itano, B. E. King, D. Leibfried, C. J. Myatt, and C. S. Wood, “Trapped-ion quantum simulator,” Phys. Scr. T76, 147–151 (1998).
- R. Gerritsma, G. Kirchmair, F. Zahringer, E. Solano, R. Blatt, and C. F. Roos, “Quantum simulation of the Dirac equation,” Nature 463, 68–71 (2010). [PubMed]
Appl. Phys. B
- H. C. Nagerl, W. Bechter, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Ion strings for quantum gates,” Appl. Phys. B 66, 603–608 (1998).
J. Appl. Phys.
- D. J. Berkeland, J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, “Minimization of ion micromotion in a Paul trap,” J. Appl. Phys. 83, 5025–5033 (1998).
J. Res. Natl. Inst. Stand. Technol.
- D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. Meekhof, “Experimental issues in coherent quantum-state manipulation of trapped atomic ions,” J. Res. Natl. Inst. Stand. Technol. 103, 259–328 (1998).
Nat. Nanotechnol.
- M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, “Ultrasensitive detection of force and displacement using trapped ions,” Nat. Nanotechnol. 5, 646–650 (2010). [PubMed]
Nature
- C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000). [PubMed]
- H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
- R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
- R. Blatt and D. J. Wineland, “Entangled states of trapped atomic ions,” Nature 453, 1008–1014 (2008). [PubMed]
- F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [PubMed]
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
- R. Gerritsma, G. Kirchmair, F. Zahringer, E. Solano, R. Blatt, and C. F. Roos, “Quantum simulation of the Dirac equation,” Nature 463, 68–71 (2010). [PubMed]
- K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, “Quantum simulation of frustrated Ising spins with trapped ions,” Nature 465, 590–593 (2010). [PubMed]
Opt. Express
- T. B. Mitchell, J. J. Bollinger, X.-P. Huang, and W. M. Itano, “Doppler imaging of plasma modes in a Penning trap,” Opt. Express 2, 314–322 (1998). [PubMed]
Phys. Plasmas
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- J. J. Bollinger, D. J. Wineland, and D. H. E. Dubin, “Non-neutral ion plasmas and crystals, laser cooling, and atomic clocks,” Phys. Plasmas 1, 1403–1414 (1994).
- J. J. Bollinger, T. B. Mitchell, X.-P. Huang, W. M. Itano, J. N. Tan, B. M. Jelenkovic, and D. J. Wineland, “Crystalline order in laser-cooled, nonneutral ion plasmas,” Phys. Plasmas 7, 7–13 (2000).
Phys. Rev. A
- L. R. Brewer, J. D. Prestage, J. J. Bollinger, W. M. Itano, D. J. Larson, and D. J. Wineland, “Static properties of a non-neutral 9Be+ ion plasma,” Phys. Rev. A 38, 859–873 (1988). [PubMed]
- M. J. Jensen, T. Hasegawa, and J. J. Bollinger, “Temperature and heating rate of ion crystals in Penning traps,” Phys. Rev. A 70, 033401 (2004).
- D. Porras, D. Marquardt, J. von Delft, and J. J. Cirac, “Mesoscopic spin-boson models of trapped ions,” Phys. Rev. A 78, 010101 (2008).
Phys. Rev. Lett.
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
- B. King, C. Myatt, Q. A. Turchette, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Cooling the collective motion of trapped ions to initialize a quantum register,” Phys. Rev. Lett. 81, 1525–1528 (1998).
- K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
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- D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
- J. J. Bollinger and D. J. Wineland, “Strongly coupled nonneutral ion plasma,” Phys. Rev. Lett. 53, 348–351 (1984).
- Q. A. Turchette, C. S. Wood, B. E. King, C. J. Myatt, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Deterministic entanglement of two ions,” Phys. Rev. Lett. 81, 3631–3634 (1998).
Phys. Scr.
- D. J. Wineland, C. Monroe, W. M. Itano, B. E. King, D. Leibfried, C. J. Myatt, and C. S. Wood, “Trapped-ion quantum simulator,” Phys. Scr. T76, 147–151 (1998).
Quantum Inf. Comput.
- M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, “High-fidelity quantum control using ion crystals in a Penning trap,” Quantum Inf. Comput. 9, 920–949 (2009).
Science
- S. Olmschenk, D. N. Matsukevich, P. Maunz, D. Hayes, L.-M. Duan, and C. Monroe, “Quantum teleportation between distant matter qubits,” Science 323, 486–489 (2009). [PubMed]
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Science.
- P. O. Schmidt, T. Rosenband, C. Langer, W. M. Itano, J. C. Bergquist, and D. J. Wineland, “Spectroscopy using quantum logic,” Science. 309, 749–752 (2005). [PubMed]
2010, Campbell, Phys. Rev. Lett.
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