Classical capacity of a noiseless quantum channel assisted by noisy entanglement

Quantum Information and Computation

Volumn 1, Issue 3, 2001, Pages 70-78

  Horodecki, Michal ^a   Horodecki, Pawel ^b   Horodecki, Ryszard ^a   Leung, Debbie W ^c   Terhal, Barbara M ^c  

^a UNIVERSITY OF GDA SK   (Poland)

^b GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

^c IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

Capacity of a quantum channel; Quantum entanglement; Superdense coding

Indexed keywords

CHANNEL CAPACITY; COMMUNICATION CHANNELS (INFORMATION THEORY); QUANTUM CHANNEL; QUANTUM COMMUNICATION;

BOUND ENTANGLED STATE; GENERAL FORMULAS; MUTUAL INFORMATIONS; SUPERDENSE CODING; VON NEUMANN ENTROPY;

QUANTUM ENTANGLEMENT;

EID: 0041553109     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. C. H. Bennett and S. Wiesner. Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett., 69:2881-2884, 1992.
2. C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal. Entanglement-assisted classical capacity of noisy quantum channels. Phys. Rev. Lett., 83:3081, 1999, quant-ph/9904023.
3. N. Cerf and C. Adami. Von Neumann capacity of noisy quantum channels. Phys. Rev. A, 56:3470-3483, 1997, quant-ph/9609024. See also V. Belavkin and M. Ohya, Quantum entanglements and entangled mutual entropy, quant-ph/9812082.
4. N. Cerf and C. Adami. Von Neumann capacity of noisy quantum channels. Phys. Rev. A, 56:3470-3483, 1997, quant-ph/9609024. See also V. Belavkin and M. Ohya, Quantum entanglements and entangled mutual entropy, quant-ph/9812082.
5. S. Bose, M. B. Plenio, and B. Vedral. Mixed state dense coding and its relation to entanglement measures. Jour. of Modern Optics, 47:291, 2000, quant-ph/9810025.
6. T. Hiroshima. Optimal dense coding with mixed state entanglement, quant-ph/0009048.
7. G. Bowen. Classical information capacity of superdense coding. Phys. Rev. A, 63:022302, 2001, quant-ph/0101117.
8. M. Horodecki, P. Horodecki, and R. Horodecki. Unified approach to quantum capacities: towards quantum noisy coding theorem, quant-ph/0003040.
9. B. W. Schumacher. Sending entanglement through noisy quantum channels. Phys. Rev. A, 54:2614, 1996. arXive e-print quant-ph/9604023.
10. B. W. Schumacher and M.A. Nielsen. Quantum data processing and error correction. Phys. Rev. A, 54:2629, 1996. arXive e-print quant-ph/9604022.
11. S. Lloyd. The capacity of the noisy quantum channel. Phys. Rev. A, 56:1613, 1997. arXive e-print quant-ph/9604015.
12. M. Horodecki, P. Horodecki, and R. Horodecki. Mixed state entanglement and distillation: is there a 'bound' entanglement in nature? Phys. Rev. Lett., 80:5239-5242, 1998, quant-ph/9801069.
13. M. Horodecki, P. Horodecki, and R. Horodecki. General teleportation channel, singlet fraction, and quasidistillation. Phys. Rev. A, 60:1888-1898, 1999, quant-ph/9807091.
14. M. Horodecki and P. Horodecki. Reduction criterion of separability and limits for a class of distillation protocols. Phys. Rev. A, 59:4206-4216, 1999, quant-ph/9708015.
15. N. J. Cerf, C. Adami and R. M. Gingrich. Quantum conditional operator and a criterion for separability Phys. Rev. A, 60:898, (1999), quant-ph/9710001
16. G.G. Amosov, A.S. Holevo, and R.F. Werner. On some additivity problems in quantum information theory, math-ph/0003002.
17. P. Hausladen, R. Jozsa, B. Schumacher, M. Westmoreland, and W. Wootters. Classical information capacity of a quantum channel. Phys. Rev. A, 54:1869, 1996.
18. B. Schumacher and M. Westmoreland. Sending classical information via noisy quantum channels. Phys. Rev. A, 56:131-138, 1997.
19. A.S. Holevo. The capacity of quantum channel with general signal states. IEEE Trans. on Inf. Theory, 44:269, 1998, quant-ph/9611023.
20. L. Viola, S. Lloyd, and E. Knill. Universal Contorl of Decoupled Quantum Systems. Phys. Rev. Lett., 83 (1999) 4888, quant-ph/9906094.
21. st Annual Symposium on Foundations of Computer Science, p. 547-553, 2000, quant-ph/0003101
22. In Ref. [B. Schumacher, Phys. Rev. A 51, 2738 (1995)] it was shown that an ensemble with entropy 5 can be transmitted using S qubits per transmitted state.
23. G. Lindblad. Entropy, information and quantum measurements Commun. Math. Phys. 33:305-322, 1973. S. M. Barnett and S. Phoenix Phys. Rev. A 51:2738, 1995.
24. G. Lindblad. Entropy, information and quantum measurements Commun. Math. Phys. 33:305-322, 1973. S. M. Barnett and S. Phoenix Phys. Rev. A 51:2738, 1995.