Observable correlations in two-qubit states

Journal of Statistical Physics

Volumn 136, Issue 1, 2009, Pages 165-177

  Luo, Shunlong ^a   Zhang, Qiang ^b  

^a CHINESE ACADEMY OF SCIENCES   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Classical correlations; Lindblad conjecture; Observable correlations; Quantum mutual information; Von Neumann measurement

Indexed keywords

EID: 70349314942     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-009-9779-0     Document Type: Article

References (27)

1. Adami, C., Cerf, N.J.: Von Neumann capacity of noisy quantum channels. Phys. Rev. A 56, 3470-3483 (1997)
2. Barnett, S.M., Phoenix, S.J.D.: Entropy as a measure of quantum optical correlation. Phys. Rev. A 40, 2404-2409 (1989)
3. Barnett, S.M., Phoenix, S.J.D.: Information theory, squeezing, and quantum correlations. Phys. Rev. A 44, 535-545 (1991)
4. Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824-3851 (1996)
5. Bhatia, R.: Matrix Analysis. Springer, Berlin (1997)
6. Cover, T.M., Thomas, J.A.: Elements of Information Theory. Wiley, New York (1991)
7. Cramér, H.: Mathematical Methods of Statistics. Princeton University Press, Princeton (1974)
8. Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777-780 (1935)
9. Everett III, H.: The theory of the universal wavefunction. In: DeWitt, B.S., Graham, N. (eds.) The Many-Worlds Interpretation of Quantum Mechanics, pp. 3-140. Princeton University Press, Princeton (1973) (written in 1957, first publication herein)
10. Groisman, B., Popescu, S.A.: Winter, Quantum, classical, and total amount of correlations in a quantum state. Phys. Rev. A 72, 032317 (2005)
11. Hall, M.J.W., Andersson, E., Brougham, T.: Maximum observable correlation for a bipartite quantum system. Phys. Rev. A 74, 062308 (2006)
12. Henderson, L., Vedral, V.: Classical, quantum and total correlations. J. Phys. A 34, 6899-6905 (2001)
13. Horodecki, M.: Entanglement measures. Quantum Inf. Comput. 1, 3-26 (2001)
14. Li, N., Luo, S.: Total versus quantum correlations in quantum states. Phys. Rev. A 76, 032327 (2007)
15. Lindblad, G.: Entropy, information and quantum measurements. Commun. Math. Phys. 33, 305-322 (1973)
16. Lindblad, G.: Expectations and entropy inequalities for finite quantum systems. Commun. Math. Phys. 39, 111-119 (1974)
17. Lindblad, G.: Quantum entropy and quantum measurements. In: Bendjaballah, C., et al.(eds.) Quantum Aspects of Optical Communications. Lecture Notes in Physics, vol. 378, pp. 71-80. Springer, Berlin (1991)
18. Nielsen, M., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
19. Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2002)
20. Peres, A.: Quantum Theory: Concepts and Methods. Kluwer Academic, Dordrecht (1998)
21. Schrödinger, E.: Discussion of probability relations between separated systems. Proc. Camb. Philos. Soc. 31, 555-563 (1935)
22. Schumacher, B., Westmoreland, M.D.: Quantum mutual information and the one-time pad. Phys. Rev. A 74, 042305 (2006)
23. Shannon, C.E., Weaver, W.: The Mathematical Theory of Communication. University of Illinois Press, Urbana (1949)
24. Vedral, V.: The role of relative entropy in quantum information theory. Rev. Mod. Phys. 74, 197-234 (2002)
25. Wehrl, A.: General properties of entropy. Rev. Mod. Phys. 50, 221-260 (1978)
26. Werner, R.F.: Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. Phys. Rev. A 40, 4277-4281 (1989)
27. Wootters, W.K.: Entanglement of formation and concurrence. Quantum Inf. Comput. 1, 27-44 (2001)