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Preparation of Knill–Lafamme–Milburn states based on superconducting qutritsQi-Gong Liu, Qi-Cheng Wu, and Xin Ji »View Author Affiliations
Qi-Gong Liu,
Qi-Cheng Wu,
and Xin Ji^{*}
^{}Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China ^{*}Corresponding author: jixin@ybu.edu.cn |
JOSA B, Vol. 31, Issue 4, pp. 672-677 (2014)
http://dx.doi.org/10.1364/JOSAB.31.000672
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Abstract
We propose two schemes for generating the Knill–Lafamme–Milburn states of two distant polar molecule ensembles, respectively, in two transmission-line resonators (TLRs) connected by a superconducting charge qutrit (SCQ), and of two SCQs in a TLR, respectively. Both schemes are robust against photon decay due to the virtual excitations of the microwave photons of the TLRs, and the spontaneous emission can be suppressed owing to the virtual transitions of the SCQs in the second scheme. In addition, the schemes have high controllability and feasibility under the current available techniques.
© 2014 Optical Society of America
OCIS Codes
(230.5750) Optical devices : Resonators
(270.5585) Quantum optics : Quantum information and processing
ToC Category:
Quantum Optics
History
Original Manuscript: November 25, 2013
Revised Manuscript: January 15, 2014
Manuscript Accepted: January 27, 2014
Published: March 5, 2014
Citation
Qi-Gong Liu, Qi-Cheng Wu, and Xin Ji, "Preparation of Knill–Lafamme–Milburn states based on superconducting qutrits," J. Opt. Soc. Am. B 31, 672-677 (2014)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-31-4-672
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References
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- L. DiCarlo, M. D. Reed, L. Sun, B. R. Johnson, J. M. Chow, J. M. Gambetta, L. Frunzio, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf, “Preparation and measurement of three-qubit entanglement in a superconducting circuit,” Nature 467, 574–578 (2010). [CrossRef]
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- Q. Chen, W. L. Yang, and M. Feng, “Generation of macroscopic entangled coherent states for distant ensembles of polar molecules via effective coupling to a superconducting charge qubit,” Phys. Rev. A 86, 045801 (2012). [CrossRef]
- K. Lemr, A. Černoch, J. Soubusta, and J. Fiurášek, “Experimental preparation of two-photon Knill-Laflamme-Milburn states,” Phys. Rev. A 81, 012321 (2010). [CrossRef]
- K. Lemr and J. Fiurášek, “Preparation of entangled states of two photons in several spatial modes,” Phys. Rev. A 77, 023802 (2008). [CrossRef]
- J. D. Franson, M. M. Donegan, and B. C. Jacobs, “Generation of entangled ancilla states for use in linear optics quantum computing,” Phys. Rev. A 69, 052328 (2004). [CrossRef]
- L. DiCarlo, M. D. Reed, L. Sun, B. R. Johnson, J. M. Chow, J. M. Gambetta, L. Frunzio, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf, “Preparation and measurement of three-qubit entanglement in a superconducting circuit,” Nature 467, 574–578 (2010). [CrossRef]
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- C. Y. Lu, X. Q. Zhou, O. Gühne, W. B. Gao, J. Zhang, Z. S. Yuan, A. Goebel, T. Yang, and J. W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91–95 (2007). [CrossRef]
- L. DiCarlo, M. D. Reed, L. Sun, B. R. Johnson, J. M. Chow, J. M. Gambetta, L. Frunzio, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf, “Preparation and measurement of three-qubit entanglement in a superconducting circuit,” Nature 467, 574–578 (2010). [CrossRef]
- A. Blais, R. S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, “Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation,” Phys. Rev. A 69, 062320 (2004). [CrossRef]
- B. Zhao, A. W. Glaetzle, G. Pupillo, and P. Zoller, “Atomic Rydberg reservoirs for polar molecules,” Phys. Rev. Lett. 108, 193007 (2012). [CrossRef]
- C. Y. Lu, X. Q. Zhou, O. Gühne, W. B. Gao, J. Zhang, Z. S. Yuan, A. Goebel, T. Yang, and J. W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91–95 (2007). [CrossRef]
- J. Modławska and A. Grudka, “Adaptive quantum teleportation,” Phys. Rev. A 79, 064302 (2009). [CrossRef]
- C. Y. Lu, X. Q. Zhou, O. Gühne, W. B. Gao, J. Zhang, Z. S. Yuan, A. Goebel, T. Yang, and J. W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91–95 (2007). [CrossRef]
- X. B. Zou, J. Shu, and G. C. Guo, “Simple scheme for generating four-photon polarization-entangled decoherence-free states using spontaneous parametric down conversions,” Phys. Rev. A 73, 054301 (2006). [CrossRef]
- G. C. Guo and Y. S. Zhang, “Scheme for preparation of the W state via cavity quantum electrodynamics,” Phys. Rev. A 65, 054302 (2002). [CrossRef]
- S. B. Zheng and G. C. Guo, “Efficient scheme for two-atom entanglement and quantum information processing in cavity QED,” Phys. Rev. Lett. 85, 2392–2395 (2000). [CrossRef]
- O. Gywat, F. Meier, D. Loss, and D. D. Awschalom, “Dynamics of coupled qubits interacting with an off-resonant cavity,” Phys. Rev. B 73, 125336 (2006). [CrossRef]
- E. Hagley, X. Maître, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, “Generation of Einstein-Podolsky-Rosen pairs of atoms,” Phys. Rev. Lett. 79, 1–5 (1997). [CrossRef]
- C. P. Yang, Q. P. Su, S. B. Zheng, and S. Han, “Generating entanglement between microwave photons and qubits in multiple cavities coupled by a superconducting qutrit,” Phys. Rev. A 87, 022320 (2013). [CrossRef]
- G. Z. Sun, X. D. Wen, B. Mao, J. Chen, Y. Yu, P. H. Wu, and S. Y. Han, “Tunable quantum beam splitters for coherent manipulation of a solid-state tripartite qubit system,” Nat. Commun. 1, 1–7 (2010). [CrossRef]
- P. Bertet, S. Osnaghi, P. Milman, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche, “Generating and probing a two-photon Fock state with a single atom in a cavity,” Phys. Rev. Lett. 88, 143601 (2002). [CrossRef]
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Europhys. Lett.
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Nature
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New J. Phys.
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Opt. Commun.
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Phys. Rev. A
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- C. P. Yang, Q. P. Su, S. B. Zheng, and S. Han, “Generating entanglement between microwave photons and qubits in multiple cavities coupled by a superconducting qutrit,” Phys. Rev. A 87, 022320 (2013). [CrossRef]
- J. Modławska and A. Grudka, “Adaptive quantum teleportation,” Phys. Rev. A 79, 064302 (2009). [CrossRef]
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- G. C. Guo and Y. S. Zhang, “Scheme for preparation of the W state via cavity quantum electrodynamics,” Phys. Rev. A 65, 054302 (2002). [CrossRef]
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Phys. Rev. B
- O. Gywat, F. Meier, D. Loss, and D. D. Awschalom, “Dynamics of coupled qubits interacting with an off-resonant cavity,” Phys. Rev. B 73, 125336 (2006). [CrossRef]
Phys. Rev. Lett.
- X. X. Yi, X. H. Su, and L. You, “Conditional quantum phase gate between two 3-state atoms,” Phys. Rev. Lett. 90, 097902 (2003). [CrossRef]
- S. B. Zheng and G. C. Guo, “Efficient scheme for two-atom entanglement and quantum information processing in cavity QED,” Phys. Rev. Lett. 85, 2392–2395 (2000). [CrossRef]
- G. Vidal, “Efficient classical simulation of slightly entangled quantum computations,” Phys. Rev. Lett. 91, 147902 (2003). [CrossRef]
- E. Hagley, X. Maître, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, “Generation of Einstein-Podolsky-Rosen pairs of atoms,” Phys. Rev. Lett. 79, 1–5 (1997). [CrossRef]
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- K. Mattle, H. Weinfurter, P. G. Kwiat, and A. Zeilinger, “Dense coding in experimental quantum communication,” Phys. Rev. Lett. 76, 4656–4659 (1996). [CrossRef]
- A. K. Ekert, “Quantum cryptography based on Bell’s theorem,” Phys. Rev. Lett. 67, 661–663 (1991). [CrossRef]
- P. Bertet, S. Osnaghi, P. Milman, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche, “Generating and probing a two-photon Fock state with a single atom in a cavity,” Phys. Rev. Lett. 88, 143601 (2002). [CrossRef]
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- S. Popescu, “Knill-Laflamme-Milburn quantum computation with bosonic atoms,” Phys. Rev. Lett. 99, 130503 (2007). [CrossRef]
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Phys. Today
- J. Q. You and F. Nori, “Superconducting circuits and quantum information,” Phys. Today 58(11), 42–47 (2005). [CrossRef]
2013, Chen, Phys. Rev. A
- X. Y. Chen, P. Yu, L. Z. Jiang, and M. Z. Tian, “Genuine entanglement of four-qubit cluster diagonal states,” Phys. Rev. A 87, 012322 (2013). [CrossRef]
- C. P. Yang, Q. P. Su, S. B. Zheng, and S. Han, “Generating entanglement between microwave photons and qubits in multiple cavities coupled by a superconducting qutrit,” Phys. Rev. A 87, 022320 (2013). [CrossRef]
- M. F. Chen, C. L. Zhang, and S. S. Ma, “Generation of W state and NOON state of distant polar molecules ensembles via a triple hybrid device,” Opt. Commun. 306, 21–25 (2013). [CrossRef]
- S. D. Huber and H. P. Büchler, “Dipole-interaction-mediated laser cooling of polar molecules to ultracold temperatures,” Phys. Rev. Lett. 108, 193006 (2012). [CrossRef]
- B. Zhao, A. W. Glaetzle, G. Pupillo, and P. Zoller, “Atomic Rydberg reservoirs for polar molecules,” Phys. Rev. Lett. 108, 193007 (2012). [CrossRef]
- Q. Chen, W. L. Yang, and M. Feng, “Generation of macroscopic entangled coherent states for distant ensembles of polar molecules via effective coupling to a superconducting charge qubit,” Phys. Rev. A 86, 045801 (2012). [CrossRef]
- K. Lemr, “Preparation of Knill-Laflamme-Milburn states using a tunable controlled phase gate,” J. Phys. B 44, 195501 (2011). [CrossRef]
- H. Y. Yu, Y. Luo, and W. Yao, “Generating coherent states of entangled spins,” Phys. Rev. A 84, 032337 (2011). [CrossRef]
- X. Q. Shao, L. Chen, S. Zhang, Y. F. Zhao, and K. H. Yeon, “Deterministic generation of arbitrary multi-atom symmetric Dicke states by a combination of quantum Zeno dynamics and adiabatic passage,” Europhys. Lett. 90, 1–5 (2010). [CrossRef]
- K. Lemr, A. Černoch, J. Soubusta, and J. Fiurášek, “Experimental preparation of two-photon Knill-Laflamme-Milburn states,” Phys. Rev. A 81, 012321 (2010). [CrossRef]
- C. P. Yang, S. B. Zheng, and F. Nori, “Multiqubit tunable phase gate of one qubit simultaneously controlling n qubits in a cavity,” Phys. Rev. A 82, 062326 (2010). [CrossRef]
- L. DiCarlo, M. D. Reed, L. Sun, B. R. Johnson, J. M. Chow, J. M. Gambetta, L. Frunzio, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf, “Preparation and measurement of three-qubit entanglement in a superconducting circuit,” Nature 467, 574–578 (2010). [CrossRef]
- G. Z. Sun, X. D. Wen, B. Mao, J. Chen, Y. Yu, P. H. Wu, and S. Y. Han, “Tunable quantum beam splitters for coherent manipulation of a solid-state tripartite qubit system,” Nat. Commun. 1, 1–7 (2010). [CrossRef]
- L. D. Carr, D. Demille, R. V. Krems, and J. Ye, “Cold and ultracold molecules: science, technology and applications,” New J. Phys. 11, 055049 (2009). [CrossRef]
- D. B. Hume, C. W. Chou, T. Rosenband, and D. J. Wineland, “Preparation of Dicke states in an ion chain,” Phys. Rev. A 80, 052302 (2009). [CrossRef]
- J. Modławska and A. Grudka, “Adaptive quantum teleportation,” Phys. Rev. A 79, 064302 (2009). [CrossRef]
- K. Lemr and J. Fiurášek, “Preparation of entangled states of two photons in several spatial modes,” Phys. Rev. A 77, 023802 (2008). [CrossRef]
- J. Clarke and F. K. Wilhelm, “Superconducting quantum bits,” Nature 453, 1031–1042 (2008). [CrossRef]
- M. Neeley, M. Ansmann, R. C. Bialczak, M. Hofheinz, N. Katz, E. Lucero, A. O’connell, H. Wang, A. N. Cleland, and J. M. Martinis, “Process tomography of quantum memory in a Josephson-phase qubit coupled to a two-level state,” Nat. Phys. 4, 523–526 (2008). [CrossRef]
- S. Popescu, “Knill-Laflamme-Milburn quantum computation with bosonic atoms,” Phys. Rev. Lett. 99, 130503 (2007). [CrossRef]
- C. Y. Lu, X. Q. Zhou, O. Gühne, W. B. Gao, J. Zhang, Z. S. Yuan, A. Goebel, T. Yang, and J. W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91–95 (2007). [CrossRef]
- X. B. Zou, J. Shu, and G. C. Guo, “Simple scheme for generating four-photon polarization-entangled decoherence-free states using spontaneous parametric down conversions,” Phys. Rev. A 73, 054301 (2006). [CrossRef]
- P. Rabl, D. DeMille, J. M. Doyle, M. D. Lukin, R. J. Schoelkopf, and P. Zoller, “Hybrid quantum processors: molecular ensembles as quantum memory for solid state circuits,” Phys. Rev. Lett. 97, 033003 (2006). [CrossRef]
- A. André, D. DeMille, J. M. Doyle, M. D. Lukin, S. E. Maxwell, P. Rabl, R. J. Schoelkopf, and P. Zoller, “A coherent all-electrical interface between polar molecules and mesoscopic superconducting resonators,” Nat. Phys. 2, 636–642 (2006). [CrossRef]
- O. Gywat, F. Meier, D. Loss, and D. D. Awschalom, “Dynamics of coupled qubits interacting with an off-resonant cavity,” Phys. Rev. B 73, 125336 (2006). [CrossRef]
- J. Q. You and F. Nori, “Superconducting circuits and quantum information,” Phys. Today 58(11), 42–47 (2005). [CrossRef]
- D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, R. Reichle, and D. J. Wineland, “Creation of a six-atom “Schrödinger cat” state,” Nature 438, 639–642 (2005). [CrossRef]
- J. Cho and H. W. Lee, “Generation of atomic cluster states through the cavity input–output process,” Phys. Rev. Lett. 95, 160501 (2005). [CrossRef]
- A. Blais, R. S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, “Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation,” Phys. Rev. A 69, 062320 (2004). [CrossRef]
- J. D. Franson, M. M. Donegan, and B. C. Jacobs, “Generation of entangled ancilla states for use in linear optics quantum computing,” Phys. Rev. A 69, 052328 (2004). [CrossRef]
- G. Vidal, “Efficient classical simulation of slightly entangled quantum computations,” Phys. Rev. Lett. 91, 147902 (2003). [CrossRef]
- U. Keller, “Recent developments in compact ultrafast lasers,” Nature 424, 831–838 (2003). [CrossRef]
- X. X. Yi, X. H. Su, and L. You, “Conditional quantum phase gate between two 3-state atoms,” Phys. Rev. Lett. 90, 097902 (2003). [CrossRef]
- G. C. Guo and Y. S. Zhang, “Scheme for preparation of the W state via cavity quantum electrodynamics,” Phys. Rev. A 65, 054302 (2002). [CrossRef]
- P. Bertet, S. Osnaghi, P. Milman, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche, “Generating and probing a two-photon Fock state with a single atom in a cavity,” Phys. Rev. Lett. 88, 143601 (2002). [CrossRef]
- S. B. Zheng, “One-step synthesis of multiatom Greenberger-Horne-Zeilinger states,” Phys. Rev. Lett. 87, 230404 (2001). [CrossRef]
- E. Knill, R. Lafamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001). [CrossRef]
- S. B. Zheng and G. C. Guo, “Efficient scheme for two-atom entanglement and quantum information processing in cavity QED,” Phys. Rev. Lett. 85, 2392–2395 (2000). [CrossRef]
- M. Hillery, V. Bužek, and A. Berthiaume, “Quantum secret sharing,” Phys. Rev. A 59, 1829–1834 (1999). [CrossRef]
- E. Hagley, X. Maître, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, “Generation of Einstein-Podolsky-Rosen pairs of atoms,” Phys. Rev. Lett. 79, 1–5 (1997). [CrossRef]
- K. Mattle, H. Weinfurter, P. G. Kwiat, and A. Zeilinger, “Dense coding in experimental quantum communication,” Phys. Rev. Lett. 76, 4656–4659 (1996). [CrossRef]
- C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993). [CrossRef]
- C. H. Bennett, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, “Experimental quantum cryptography,” J. Cryptology 5, 3–28 (1992). [CrossRef]
- C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states,” Phys. Rev. Lett. 69, 2881–2884 (1992). [CrossRef]
- A. K. Ekert, “Quantum cryptography based on Bell’s theorem,” Phys. Rev. Lett. 67, 661–663 (1991). [CrossRef]
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