Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer_journal/thermodynamic-interpretation-of-the-quantum-error-correcting-criterion-1tA0QOkGJY
References (36)
-
D. Rohrlich (2001)
Thermodynamical analogues in quantum information theoryOptics and Spectroscopy, 91
-
P. Shor (1995)
Scheme for reducing decoherence in quantum computer memory.Physical review. A, Atomic, molecular, and optical physics, 52 4
-
A. Calderbank, E. Rains, P. Shor, Neil Sloane (1996)
Quantum error correction via codes over GF(4)Proceedings of IEEE International Symposium on Information Theory
-
D. Gottesman (1996)
Class of quantum error-correcting codes saturating the quantum Hamming bound.Physical review. A, Atomic, molecular, and optical physics, 54 3
-
P. Hayden, R. Jozsa, A. Winter (2002)
Trading quantum for classical resources in quantum data compressionJournal of Mathematical Physics, 43
-
B. Terhal, D. DiVincenzo (2001)
Classical simulation of noninteracting-fermion quantum circuitsArXiv, quant-ph/0108010
-
F. Colomo, A. Izergin, V. Korepin, V. Tognetti (1992)
Correlators in the Heisenberg XXO chain as Fredholm determinantsPhysics Letters A, 169
-
A. Calderbank, P. Shor (1995)
Good quantum error-correcting codes exist.Physical review. A, Atomic, molecular, and optical physics, 54 2
-
V. Korepin (1991)
ADIABATIC TRANSPORT PROPERTIES AND BERRY’S PHASE IN HEISENBERG-ISING RINGInternational Journal of Modern Physics B, 05
-
J. Kempe, J. Kempe, K. Whaley (2001)
Exact gate sequences for universal quantum computation using the XY interaction alonePhysical Review A, 65
-
Daniel Lidar, L.-A. Wu (2001)
Reducing constraints on quantum computer design by encoded selective recoupling.Physical review letters, 88 1
-
S. Popescu, D. Rohrlich (1996)
Thermodynamics and the measure of entanglementPhysical Review A, 56
-
J. Preskill (1997)
Reliable quantum computersProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 454
-
D. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, K. Ibm, U. Berkeley, U. Basel (2000)
Universal quantum computation with the exchange interactionNature, 408
-
E. Knill, R. Laflamme, L. Viola (1996)
Theory of quantum error correction for general noisePhysical review letters, 84 11
-
F.Colomo, A. Izergin, V. Korepin (1992)
Fredholm Determinant Representation for Correlation Functions in XXO Heisenberg ChainarXiv: Condensed Matter
-
Vahid Karimipour, J. Preskill (1998)
Topological Quantum Computation -
J. Kempe, D. Bacon, Daniel Lidar, K. Whaley (2000)
Theory of decoherence-free fault-tolerant universal quantum computationPhysical Review A, 63
-
D. Gottesman (1997)
Theory of fault-tolerant quantum computationPhysical Review A, 57
-
P. Zanardi, M. Foundation, T. fisica, P. Torino, Infm Torino (1997)
Noiseless Quantum CodesPhysical Review Letters, 79
-
Charles Bennett, D. DiVincenzo, J. Smolin, W. Wootters (1996)
Mixed-state entanglement and quantum error correction.Physical review. A, Atomic, molecular, and optical physics, 54 5
-
Nikolay Raychev, I. Chuang (2010)
Quantum Computation and Quantum Information: Bibliography -
R. Horodecki, M. Horodecki, P. Horodecki (2000)
Balance of information in bipartite quantum-communication systems: Entanglement-energy analogyPhysical Review A, 63
-
A. Osterloh, L. Amico, G. Falci, R. Fazio (2002)
Scaling of entanglement close to a quantum phase transitionNature, 416
-
L.-A. Wu, Daniel Lidar (2001)
Power of anisotropic exchange interactions: Universality and efficient codes for quantum computingPhysical Review A, 65
-
Minoru Takahashi (1999)
Thermodynamics of One-Dimensional Solvable Models: Free energy and correlation functions of the XY model -
D. Bacon, J. Kempe, D. DiVincenzo, Daniel Lidar, K. California, Berkeley, Ibm Yorktown, U. Toronto (2001)
Encoded Universality in Physical Implementations of a Quantum ComputerarXiv: Quantum Physics
-
N. Bonesteel, D. Stepanenko, D. DiVincenzo (2001)
Anisotropic spin exchange in pulsed quantum gates.Physical review letters, 87 20
-
B. Schumacher (1995)
Quantum coding.Physical review. A, Atomic, molecular, and optical physics, 51 4
-
A. Steane (1996)
Error Correcting Codes in Quantum Theory.Physical review letters, 77 5
-
V. Korepin, N. Bogoliubov, A. Izergin (1993)
Quantum Inverse Scattering Method and Correlation Functions -
(1993)
Long - wave asymptotics of correlation functions of the third componenets of spins in XX 0 model with quartic interaction -
A. Calderbank, E. Rains, P. Shor, N. Research, Institute Analysis (1996)
Quantum Error Correction and Orthogonal GeometryPhysical Review Letters, 78
-
E. Lieb, T. Schultz, D. Mattis (1961)
Two Soluble Models of an Antiferromagnetic ChainAnnals of Physics, 16
-
D. Gottesman (1997)
Stabilizer Codes and Quantum Error CorrectionarXiv: Quantum Physics
-
A. Its, Anatloij Izergin, Vladimr Korepin, N. Slavnov (1992)
Temperature correlations of quantum spins.Physical review letters, 70 11
- Publisher
- Springer Journals
- Copyright
- Copyright © 2002 by Plenum Publishing Corporation
- Subject
- Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
- ISSN
- 1570-0755
- eISSN
- 1573-1332
- DOI
- 10.1023/A:1022135318321
- Publisher site
- See Article on Publisher Site
Abstract
Shannon's fundamental coding theorems relate classical information theory to thermodynamics. More recent theoretical work has been successful in relating quantum information theory to thermodynamics. For example, Schumacher proved a quantum version of Shannon's 1948 classical noiseless coding theorem. In this note, we extend the connection between quantum information theory and thermodynamics to include quantum error correction. There is a standard mechanism for describing errors that may occur during the transmission, storage, and manipulation of quantum information. One can formulate a criterion of necessary and sufficient conditions for the errors to be detectable and correctable. We show that this criterion has a thermodynamical interpretation.
Journal
Quantum Information Processing – Springer Journals
Published: Oct 13, 2004