Characterization of decoherence processes in
quantum computation

doi:10.1364/OE.2.000372

Optics Express

Editor: J. H. Eberly
Vol. 2, Iss. 9 — Apr. 27, 1998
pp: 372–377

Characterization of decoherence processes in quantum computation

Juan Poyatos, Ignacio Cirac, and Peter Zoller »View Author Affiliations

Optics Express, Vol. 2, Issue 9, pp. 372-377 (1998)
http://dx.doi.org/10.1364/OE.2.000372

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Abstract
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References (10)
Cited By
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Abstract

We show how the dynamics of open quantum systems can be fully characterized by using quantum tomography methods. We apply these methods to the case of an ion trap quantum computer, which does not operate under ideal conditions due to coupling to several environments. We study the performance of a fundamental two–bit quantum gate as a function of various parameters related to the interaction of the ions with external laser fields.

[Optical Society of America ]

OCIS Codes
(000.6800) General : Theoretical physics
(270.0270) Quantum optics : Quantum optics

ToC Category:
Focus Issue: Control of loss and decoherence in quantum systems

History
Original Manuscript: November 14, 1997
Published: April 27, 1998

Citation
Juan Poyatos, Ignacio Cirac, and Peter Zoller, "Characterization of decoherence processes in quantum computation," Opt. Express 2, 372-377 (1998)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-2-9-372

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References

A. Ekert, "From quantum-codemaking to quantum code-breaking," Report No. quant-ph/9703035, (Los Alamos Nat. Laboratory, Albuquerky, NM, 1997), and references therein. http://xxx.lanl.gov/abs/quant-ph/9703035
D. P. Divincenzo, "Topics in Quantum Computers," Report No. cond-mat/9612126 (Los Alamos Nat. Laboratory, Albuquerky, NM, 1996), and references therein. http://xxx.lanl.gov/abs/cond-mat/9612126
J.F. Poyatos, J.I. Cirac and P. Zoller, "Complete Characterization of a Quantum Process: The two-bit Quantum Gate," Phys. Rev. Lett. 78 , 390, (1997). http://info.uibk.ac.at/c/c7/c705/qo/pub/pub96.html
[CrossRef]
J. I. Cirac and P. Zoller, "Quantum Computations with Cold Trapped Ions," Phys. Rev. Lett. 74, 4091, (1995).
[CrossRef] [PubMed]
I. Chuang and M. A. Nielsen, "Prescription for experimental determination of the dynamics of a quantum black box," Report No. quant-ph/9610001 (Los Alamos Nat. Laboratory, Albuquerky, NM, 1997). http://xxx.lanl.gov/abs/quant-ph/9610001
William K. Wootters, "A Wigner-function formulation of finite-state quantummechanics," Ann. Phys. 176, 1-21, (1987)
[CrossRef]
J. F. Poyatos, J. I. Cirac and P. Zoller, "Quantum Computations with Trapped Ions at non-zero Temperature," (unpublished).
C. H Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin and W. Wooters, "Purification of noisy entanglement and faithful teleportation via noisy channels," Phys. Rev. Lett. 76, 722, (1996)
[CrossRef] [PubMed]
A. Peres, "Separability Criterion for Density Matrices," Phys. Rev. Lett. 77, 1413 (1996). http://xxx.lanl.gov/abs/quant-ph/9604005
[CrossRef] [PubMed]
M. Horodecki, P. Horodecki, and R. Horodecki, "Separability of Mixed States: Necessary and Sufficient Conditions," Report No. quant-ph/9605038 (Los Alamos Nat. Laboratory, Albuquerky, NM, 1996). http://xxx.lanl.gov/abs/quant-ph/9605038

Other

A. Ekert, "From quantum-codemaking to quantum code-breaking," Report No. quant-ph/9703035, (Los Alamos Nat. Laboratory, Albuquerky, NM, 1997), and references therein. http://xxx.lanl.gov/abs/quant-ph/9703035
D. P. Divincenzo, "Topics in Quantum Computers," Report No. cond-mat/9612126 (Los Alamos Nat. Laboratory, Albuquerky, NM, 1996), and references therein. http://xxx.lanl.gov/abs/cond-mat/9612126
J.F. Poyatos, J.I. Cirac and P. Zoller, "Complete Characterization of a Quantum Process: The two-bit Quantum Gate," Phys. Rev. Lett. 78 , 390, (1997). http://info.uibk.ac.at/c/c7/c705/qo/pub/pub96.html
[CrossRef]
J. I. Cirac and P. Zoller, "Quantum Computations with Cold Trapped Ions," Phys. Rev. Lett. 74, 4091, (1995).
[CrossRef] [PubMed]
I. Chuang and M. A. Nielsen, "Prescription for experimental determination of the dynamics of a quantum black box," Report No. quant-ph/9610001 (Los Alamos Nat. Laboratory, Albuquerky, NM, 1997). http://xxx.lanl.gov/abs/quant-ph/9610001
William K. Wootters, "A Wigner-function formulation of finite-state quantummechanics," Ann. Phys. 176, 1-21, (1987)
[CrossRef]
J. F. Poyatos, J. I. Cirac and P. Zoller, "Quantum Computations with Trapped Ions at non-zero Temperature," (unpublished).
C. H Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin and W. Wooters, "Purification of noisy entanglement and faithful teleportation via noisy channels," Phys. Rev. Lett. 76, 722, (1996)
[CrossRef] [PubMed]
A. Peres, "Separability Criterion for Density Matrices," Phys. Rev. Lett. 77, 1413 (1996). http://xxx.lanl.gov/abs/quant-ph/9604005
[CrossRef] [PubMed]
M. Horodecki, P. Horodecki, and R. Horodecki, "Separability of Mixed States: Necessary and Sufficient Conditions," Report No. quant-ph/9605038 (Los Alamos Nat. Laboratory, Albuquerky, NM, 1996). http://xxx.lanl.gov/abs/quant-ph/9605038

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