Channel simulation with quantum side information

IEEE Transactions on Information Theory

Volumn 55, Issue 3, 2009, Pages 1331-1342

  Luo, Zhicheng ^a   Devetak, Igor ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b University of Southern California   (United States)

Author keywords

Channel simulation; Common randomness distillation; Quantum state redistribution; Rate distortion theory

Indexed keywords

DISTILLATION; ELECTRIC DISTORTION; IMAGE CODING; INTERFERENCE SUPPRESSION; MOTION ESTIMATION;

ACHIEVABLE RATES; CHANNEL INPUTS; CHANNEL OUTPUTS; CHANNEL SIMULATION; CLASSICAL COMMUNICATIONS; CLASSICAL-QUANTUM; COMMON RANDOMNESS DISTILLATION; COMMUNICATION RATES; HOLEVO INFORMATIONS; MUTUAL INFORMATIONS; QUANTUM COMMUNICATIONS; QUANTUM STATE REDISTRIBUTION; RATE-DISTORTION THEORY; SHANNON THEOREMS; SIDE INFORMATIONS; SLEPIAN WOLVES; WYNER-ZIV PROBLEMS;

SIGNAL DISTORTION;

EID: 62749161452     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2008.2011424     Document Type: Article

References (29)

1. A. Abeyesinghe, I. Devetak, P. Hayden, and A. Winter, The Mother of All Protocols: Restructuring Quantum Informations Family Tree 2006, quant-ph/ 0606225.
2. R. Ahlswede and A. Winter, "Strong converse for identification via quantum channels," IEEE Trans. Inf. Theory, vol. 48, pp. 569-579, 2002.
3. H. Barnum, M. A. Nielsen, and B. Schumacher, "Information transmission through a noisy quantum channel," Phys. Rev. A, vol. 57, p. 4153, 1998.
4. C. H. Bennett, P. Hayden, D. W. Leung, P. W. Shor, and A. J. Winter, "Remote preparation of quantum states," IEEE Trans. Inf. Theory, vol. 51, no. 1, pp. 56-74, 2005, quant-ph/0307100.
5. C. H. Bennett, P. W. Shor, J. A. Smolin, and A. Thapliyal, "Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem," IEEE Trans. Inf. Theory, vol. 48, 2002, quant-ph/0106052.
6. C. H. Bennett and A. Winter, 2008, in preparation.
7. T. Berger, Rate-Distortion Theory: A Mathematical Basis for Data Compression. Englewood Cliffs, N. J.: Prentice Hall, 1971.
8. T. M. Cover and J. A. Thomas, Elements of Information Theory, ser. in Telecommunication. New York: Wiley, 1991.
9. I. Csiszár and J. Körner, Information Theory: Coding Theorems for Discrete Memoryless Systems. New York: Academic, 1981.
10. I. Devetak, "Triangle of dualities between quantum communication protocols," Phys. Rev. Lett., vol. 97, 2006, quant-ph/0505138.
11. I. Devetak, A. W. Harrow, and A. Winter, "A family of quantum protocols," Phys. Rev. Lett., vol. 93, 2004, quant-ph/0308044.
12. I. Devetak, A. W. Harrow, and A. Winter, A Resource Framework for Quantum Shannon Theory 2005, quant-ph/0512015.
13. I. Devetak and P. W. Shor, The Capacity of a Quantum Channel for Simultaneous Transmission of Classical and Quantum Information, 2003, quant-ph/0311131.
14. I. Devetak and A. Winter, "Classical data compression with quantum side information," Phys. Rev. A, vol. 68, p. 042301, 2003, quant-ph/0209029.
15. I. Devetak and A. Winter, "Distilling common randomness from bipartite quantum states," IEEE Trans. Inf. Theory, vol. 50, pp. 3138-3151, 2003, quant-ph/0304196.
16. I. Devetak and J. Yard, "Exact cost of redistributing multipartite quantum states," Phys. Rev. Lett., vol. 100, p. 230501, 2008.
17. M. Fannes, "A continuity property of the entropy density for spin lattices," Commun. Math. Phys., vol. 31, p. 291, 1973.
18. P. Hayden, R. Jozsa, and A. Winter, "Trading quantum for classical resources in quantum data compression," J. Math. Phys., vol. 43, no. 9, pp. 4404-4444, 2002, quant-ph/0204038.
19. A. S. Holevo, "Bounds for the quantity of information transmitted by a quantum communication channel," Probl. Inf. Transm., vol. 9, pp. 177-183, 1973.
20. A. S. Holevo, "The capacity of the quantum channel with general signal states," IEEE Trans. Inf. Theory, vol. 44, 1998, quant-ph/9611023.
21. M. Horodecki, J. Oppenheim, and A. Winter, "Partial quantum information," Nature, vol. 436, pp. 673-676, 2005, quant-ph/ 0505062.
22. Z. Luo, "Topics in quantum cryptography, quantum error correction, and channel simulation," Ph.D. dissertation, Univ. Southern California, Los Angeles, CA, 2009.
23. B. Schumacher and M. D. Westmoreland, "Sending classical information via noisy quantum channels," Phys. Rev. A, vol. 56, 1997.
24. C. E. Shannon, "A mathematical theory of communication," Bell Syst. Tech. J., vol. 27, pp. 379-423, 1948, 623-656.
25. D. Slepian and J. K. Wolf, "Noiseless coding of correlated information sources," IEEE Trans. Inf. Theory, vol. 19, 1973.
26. A. Winter, "Coding theorem and strong converse for quantum channels," IEEE Trans. Inf. Theory, vol. 45, no. 7, pp. 2481-2485, 1999.
27. A. Winter, "Compression of sources of probability distributions and density operators," 2002, quant-ph/0208131.
28. A. Winter, ""Extrinsic" and "intrinsic" data in quantum measurements: Asymptotic convex decomposition of positive operator valued measures," Comm. Math. Phys., vol. 244, no. 1, pp. 157-185, 2004, quant-ph/0109050.
29. A. Wyner and J. Ziv, "The rate-distortion function for source coding with side information at the decoder," IEEE Trans. Inf. Theory, vol. 22, no. 1, pp. 1-10, 1976.