General formulas for fixed-length quantum entanglement concentration

IEEE Transactions on Information Theory

Volumn 52, Issue 5, 2006, Pages 1904-1921

  Hayashi, Masahito ^a,b  

^a RIKEN BRAIN SCIENCE INSTITUTE   (Japan)

^b JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

Entanglement concentration protocols; Exponents; Information spectrum; Maximally entangled state

Indexed keywords

CORRELATION METHODS; ERROR ANALYSIS; NETWORK PROTOCOLS; SPECTRUM ANALYSIS;

ENTANGLEMENT CONCENTRATION PROTOCOLS; EXPONENTS; INFOMATION SPECTRUM; MAXIMALLY ENTANGLED STATE;

INFORMATION THEORY;

EID: 33646058298     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.872976     Document Type: Article

References (25)

1. C. H. Bennett and S. J. Wiesner, "Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states," Phys. Rev. Lett., vol. 69, no. 2881, 1992.
2. C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett., vol. 70, no. 1895, 1993.
3. A. Ekert, Phys. Rev. Lett., vol. 67, no. 661, 1991.
4. M. A. Nielsen, "Conditions for a class of entanglement transformations," Phys. Rev. Lett., vol. 83, no. 436, 1999.
5. F. Morikoshi and M. Koashi, "Deterministic entanglement concentration," Phys. Rev. A, vol. 64, no. 022316, 2001.
6. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, "Concentrating partial entanglement by local operations," Phys. Rev. A, vol. 53, no. 2046, 1996.
7. M. Hayashi and K. Matsumoto, "Variable Length Universal Entanglement Concentration by Local Operations and its Application to Teleportation and Dense Coding," LANL e-print quant-ph/010928, 2001.
8. M. Hayashi, M. Koashi, K. Matsumoto, F. Morikoshi, and A. Winter, "Error exponents for entangle concentration," J. Phys. A: Math. Gen., vol. 36, pp. 527-553, 2003.
9. T. S. Han and S. Verdu, "Approximation theory of output statistics," IEEE Trans. Inf. Theory, vol. 39, no. 3, pp. 752-772, May 1993.
10. S. Verdú and T. S. Han, "A general formula for channel capacity," IEEE Trans. Inf. Theory, vol. 40, pp. 1147-1157, 1994.
11. T. S. Han, "Hypothesis testing with the general source," IEEE Trans. Inf. Theory, vol. 46, no. 4, pp. 2415-2427, Jul. 2000.
12. T. S. Han, "The reliability functions of the general source with fixed-length coding," IEEE Trans. Inf. Theory, vol. 46, pp. 2117-2132, 2000.
13. T. S. Han, Information-Spectrum Methods in Information Theory (in in Japanese). Tokyo, Japan: Baifukan-Press, 1998.
14. H. Nagaoka and M. Hayashi, "An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing," LANL e-print quant-ph/ 0206185, 2002.
15. M. Hayashi and H. Nagaoka, "General formulas for capacity of classical-quantum channels," IEEE Trans. Inf. Theory, vol. 49, no. 7, pp. 1753-1768, Jul. 2003.
16. R. Bhatia, Matrix Analysis. New York: Springer-Verlag, 1997.
17. H.-K. Lo and S. Popescu, "Concentrating entanglement by local actions: Beyond mean values," Phys. Rev. A, vol. 63, no. 022301, 2001.
18. Y. Steinberg and S. Verdu, "Simulation of random processes and rate-distortion theory," IEEE Trans. Inf. Theory, vol. 42, no. 1, pp. 63-86, Jan. 1996.
19. S. Vembu and S. Verdú, "Generating random bits from an arbitrary source: Fundamental limits," IEEE Trans. Inf. Theory, vol. 41, no. 5, pp. 1322-1332, Sep. 1995.
20. A. Dembo and O. Zeitouni, Large Deviations Techniques and Applications. New York: Springer-Verlag, 1998.
21. I. Csiszár and J. Körner, Information Theory, Coding Theorems for Discrete Memoryless Systems. New York: Academic, 1981.
22. M. Hayashi, "Second Order Asymptotics in Fixed-Length Source Coding and Intrinsic Randomness," LANL e-print cs.IT/0503089.
23. G. Vidal, D. Jonathan, and M. A. Nielsen, "Approximate transformations and robust manipulation of bipartite pure state entanglement," Phys. Rev. A, vol. 62, no. 012304, 2000.
24. A. Uhlmann, "The 'transition probability' in the state space of *-algebra," Rep. Math. Phys., vol. 9, pp. 273-279, 1976.
25. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, "Mixed state entanglement and quantum error correction," Phys. Rev. A, vol. 54, pp. 3824-3851, 1996.