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Using random Gaussian vectors and an information-uncertainty relation, we give a proof that the coherent information is an achievable rate for entanglement transmission through a noisy quantum channel.
M. Fannes, “A continuity property of the entropy density for spin lattice systems”, Commun. Math. Phys., vol. 31, pp. 291-294, 1973
1973
Earlier work this paper cites.
A. S. Holevo, “Bounds for the quantity of information transmitted by a quantum channel”, Probl. Inform. Transm., vol. 9, no. 3, pp. 177Ð183, 1973
1973
Earlier work this paper cites.
T. M. Cover, J. A. Thomas, Elements of Information Theory , Wiley & Sons, New York, 1991
1991
Earlier work this paper cites.
B. Schumacher, “Quantum Coding”, Phys. Rev. A, vol. 51, no. 4, pp. 2738-2747, 1995. R. Jozsa, B. Schumacher, “A new proof of the quantum noiseless coding theorem”, J. Mod. Optics, vol. 41, no. 12, pp. 2343-2349, 1994
1994
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, W. K. Wootters, “Mixed-state entanglement and quantum error correction”, Phys. Rev. A, vol. 54, no. 5, pp. 3824-3851, 1996
1996
Earlier work this paper cites.
P. Hausladen, R. Jozsa, B. Schumacher, M. Westmoreland, W. K. Wootters, “Classical information capacity of a quantum channel”, Phys. Rev. A, vol. 54, no. 3, pp. 1869-1876, 1996
1996
Earlier work this paper cites.
B. Schumacher, “Sending entanglement through noisy quantum channels”, Phys. Rev. A, vol. 54, no. 4, pp. 2614-2628, 1996. B. Schumacher, M. A. Nielsen, “Quantum data processing and error correction”, Phys. Rev. A, vol. 54, no. 4, pp. 2629-2635, 1996
1996
Earlier work this paper cites.
C. A. Fuchs, J. van de Graaf, “Cryptographic Distinguishability Measures for Quantum-Mechanical States”, IEEE Trans. Inf. Theory, vol. 45, no. 4, pp. 1216-1227, 1997
1997
Earlier work this paper cites.
A. S. Holevo, “The Capacity of the Quantum Channel with General Signal States”, IEEE Trans. Inf. Theory, vol. 44, no. 1, pp. 269-273, 1998. B. Schumacher, M. D. Westmoreland, “Sending classical information via noisy quantum channels”, Phys. Rev. A, vol. 56, no. 1, pp. 131-138, 1997
1997
Earlier work this paper cites.
S. Lloyd, “Capacity of the noisy quantum channel”, Phys. Rev. A, vol. 55, no. 3, pp. 1613-1622, 1997
1997
Cited alongside, same era.
A. Winter, “Coding theorem and strong converse for quantum channels”, IEEE Trans. Inf. Theory, vol. 45, no. 7, pp. 2481-2485, 1999
1999
Cited alongside, same era.
R. Ahlswede, A. Winter, “Strong converse for identification via quantum channels”, IEEE Trans. Inf. Theory, vol. 48, no. 3, pp. 569-579, 2002
2002
Cited alongside, same era.
T. Ogawa, H. Nagaoka, “A new proof of the channel coding theorem via hypothesis testing in quantum information theory”, in: Proc. 2002 IEEE ISIT, 73, 2002; arXiv:quant-ph/0208139
2002
Cited alongside, same era.
P. W. Shor, “The quantum channel capacity and coherent information”, unpublished lecture notes. Online at http://www.msri.org/publications/ln/msri/2002/
2002
C. H. Bennett, P. Hayden, D. Leung, P. W. Shor, A. Winter, “Remote Preparation of Quantum States”, IEEE Trans. Inf. Theory, vol. 51, no. 1, pp. 56-74, 2005
2005
Later among the works it cites.
M. Christandl, A. Winter, “Uncertainty, Monogamy, and Locking of Quantum Correlations”, IEEE Trans. Inf. Theory, vol. 51, no. 9, pp. 3159-3165, 2005
2005
Later among the works it cites.
I. Devetak, “The Private Classical Capacity and Quantum Capacity of a Quantum Channel”, IEEE Trans. Inf. Theory, vol. 51, no. 1, pp. 44-55, 2005
2005
Later among the works it cites.
M. Horodecki, J. Oppenheim, A. Winter, “Quantum state merging and negative information”, arXiv.org:quant-ph/0512247 (2005). To appear in Comm. Math. Phys
2005
Later among the works it cites.
M.-H. Hsieh, I. Devetak, A. Winter, “Entanglement-Assisted Capacity of Quantum Multiple Access Channels”, arXiv:quant-ph/0511228, 2005
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Cited alongside, same era.
M. Hayashi, H. Nagaoka, “General formulas for capacity of classical-quantum channels”, IEEE Trans. Inf. Theory, vol. 49 no. 7, pp. 1753-1768, 2003
2003
Cited alongside, same era.
P. Hayden, D. Leung, P. W. Shor, A. Winter, “Randomizing Quantum States: Constructions and Applications”, Comm. Math. Phys., vol. 250, pp. 371Ð391, 2004
2004
Cited alongside, same era.
D. Kretschmann, R. F. Werner, “Tema con variazioni: quantum channel capacity”, New J. Phys. 6, 26, 2004
2004
Cited alongside, same era.
P. Hayden, M. Horodecki, A. Winter, J. Yard, “A decoupling approach to the quantum capacity”, arXiv:quant-ph/0702005
Cited in the paper.
M. Horodecki, S. Lloyd, A. Winter, “Quantum coding theorem from privacy and distinguishability”, arXiv:quant-ph/0702006
Cited in the paper.
2005
Later among the works it cites.
A. Abeyesinghe, I. Devetak, P. Hayden, A. Winter, “The mother of all protocols: Restructuring quantum informationÕs family tree”, arXiv:quant-ph/0606225, 2006
2006
Later among the works it cites.
M. Ohya, D. Petz, Quantum Entropy and Its Use , Springer Verlag, 2nd edition, 2006
2006
Later among the works it cites.
R. Klesse, “Approximate quantum error correction, random codes, and quantum channel capacity”, arXiv:quant-ph/0701102, 2007
2007
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