Correlation and entanglement

Acta Mathematicae Applicatae Sinica

Volumn 19, Issue 4, 2003, Pages 581-598

  Luo, Shun Long ^a   Luo, You Feng ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Correlation; Covariance; Entanglement; Qubit; Wigner Yanase correlation

Indexed keywords

EID: 37549019925     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/s10255-003-0133-z     Document Type: Article

References (25)

1. Araki, H., Yanase, M.M. Measurement of quantum mechanical operators. Phys. Rev., 120: 622-626 (1960)
2. Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J. A., Wootters, W.K. Purification of noise and faithful teleportation via noise channels. Phys. Rev. Lett., 76: 722-725 (1996)
3. Clauser, J.F., Shimony, A. Bell's theorem: experimental tests and implications. Rep. Prog. Phys., 41: 881-1928 (1978)
4. Cramér, H. Mathematical Methods of Statistics. Princeton University Press, Princeton, 1974
5. Dirac, P.A.M. The Principle of Quantum Mechanics. Carlendon Press, Oxford, 1956
6. Einstein, A., Poldosky, B., Rosen, N. Can quantum-mechanical description of physical reality be considered complete? Phys. Rev., 47: 777-780 (1935)
7. Feynman, R.P., Leighton, R. B., Sands, M. Feynman Lectures on Physics, Vol. III, Quantum Mechanics. Addison-Wesley, Mass., 1965
8. Fine, A. Hidden variables, joint probability, and the Bell inequalities. Phys. Rev. Lett., 48: 291-295 (1982)
9. Fisher, R.A. Theory of statistical estimation. Proc. Camb. Phil. Soc., 22: 700-725 (1925)
10. Helstrom, C.W. Quantum Detection and Estimation Theory. Academic Press, New York, 1976
11. Holevo, A.S. Probabilistic and Statistical Aspects of Quantum Theory. North Holland, Amsterdam, 1982
12. Khalfin, L.A., Tsirelson, B.S. Quantum/classical correspondence in the light of Bell's inequalities. Found. Phys., 22: 879-948 (1992)
13. Luo, S.L. Quantum fisher information and uncertainty relations. Lett. Math. Phys., 53: 243-251 (2000)
14. Luo, S.L. Uncertainty relations in terms of Fisher information. Commun. Theor. Phys., 36: 257-258 (2001)
15. Luo, S.L. The Wigner-Yanase skew information and uncertainty relations. Preprint, 2002
16. Luo, S.L. The Wigner-Yanase correlation. Preprint, 2002
17. Luo, S.L. An informational approach to Schrödinger's uncertainty relations. Preprint, 2003
18. Nielsen, M.A., Chung, I.L. Quantum Computation and Quantum Information. Cambridge Univ. Press, Cambridge, 2000
19. Schrödinger, E. Discussions of probability relations between separated systems. Proc. Camb. Philos. Soc., 31: 555-563 (1935)
20. Schrödinger, E. Probability relations between separated systems. Proc. Camb. Philos. Soc., 32: 446-452 (1936)
21. von Neumann, J. Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton, 1955
22. Wehrl, A. General concept of entropy. Rev. Mod. Phys., 50: 221-260 (1978)
23. Werner, R.F., Wolf, M.M. Bell inequalities and entanglement. Quant-ph/0107093, 2001
24. Wigner, E.P., Yanase, M.M. Information contents of distributions. Proc. Nat. Acad. Sci. USA, 49: 910-918 (1963)
25. Zeilinger, A. A foundational principle for quantum mechanics. Found. Phys., 29: 631-643 (1999)