Multiplicativity of accessible fidelity and quantumness for sets of quantum states

Quantum Information and Computation

Volumn 4, Issue 1, 2004, Pages 1-11

  Audenaert, K M R ^a   Fuchs, C A ^b,c   King, C ^c,d   Winter, A ^e  

^a BANGOR UNIVERSITY   (United Kingdom)

^b LUCENT TECHNOLOGIES   (United States)

^c DUBLIN INSTITUTE OF TECHNOLOGY   (Ireland)

^d NORTHEASTERN UNIVERSITY   (United States)

^e UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Accessible fidelity; Entanglement breaking channels; Multiplicativity; Quantumness

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY);

ACCESSIBLE FIDELITY; ENTANGLEMENT- BREAKING CHANNELS; MULTIPLICATIVITY; QUANTUM STATE; QUANTUMNESS; TENSOR PRODUCTS;

QUANTUM ENTANGLEMENT;

EID: 1642587738     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. G. G. Amosov and A. S. Holevo, "On the multiplicativity conjecture for quantum channels", math-ph/0103015.
2. G. G. Amosov, A. S. Holevo, and R. F. Werner, "On Some Additivity Problems in Quantum Information Theory", Problems in Information Transmission, 36, 305-313 (2000).
3. K.M.R. Audenaert and S.L. Braunstein, "On strong superadditivity of the entanglement of formation", quant-ph/0303045, to be published in Comm. Math. Phys. (2003).
4. C.H. Bennett and G. Brassard, "Quantum Cryptography: Public Key Distribution and Coin Tossing", Proceedings of IEEE International Conference on Computers Systems and Signal Processing, Bangalore India, December 1984, pp. 175-179.
5. C. A. Fuchs, "Quantum Mechanics as Quantum Information (and only a little more)," quant-ph/0205039.
6. C. A. Fuchs and M. Sasaki, "Squeezing Quantum Information through a Classical Channel: Measuring the 'Quantumness' of a Set of Quantum States, " Quantum Information and Computation, 3, 377-404 2003. C. A. Fuchs and M. Sasaki, The Quantumness of a Set of Quantum States, in Proceedings of the Sixth International Conference on Quantum Communication, Measurement and Computing, edited by J. H. Shapiro and O. Hirota (Rinton Press, Princeton, NJ, 2003), pp. 475-480.
7. C. A. Fuchs and M. Sasaki, "Squeezing Quantum Information through a Classical Channel: Measuring the 'Quantumness' of a Set of Quantum States, " Quantum Information and Computation, 3, 377-404 2003. C. A. Fuchs and M. Sasaki, The Quantumness of a Set of Quantum States, in Proceedings of the Sixth International Conference on Quantum Communication, Measurement and Computing, edited by J. H. Shapiro and O. Hirota (Rinton Press, Princeton, NJ, 2003), pp. 475-480.
8. N. Gisin, G. Ribordy, W. Tittel, H. Zbinden, "Quantum Cryptography," to appear in Rev. Mod. Phys., quant-ph/0101098.
9. P. Hayden, R. Jozsa, and A. Winter, "Trading Quantum for Classical Resources in Quantum Data Compression," J. Math. Phys. 43, 4404-4444 (2002).
10. C. King, "Maximal p-norms of entanglement-breaking channels," Quantum Information and Computation, 3, 186-190 (2003).
11. E. Lieb and W. Thirring, "Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities," in Studies in Mathematical Physics, E. Lieb, B. Simon, A. Wightman eds., pp. 269-303 (Princeton University Press, 1976).
12. R.T. Rockafellar, Convex Analysis, (Princeton University Press, Princeton, 1970).
13. P. W. Shor, "Additivity of the classical capacity of entanglement-breaking channels," J. Math. Phys., 43, 4334-4340, 2002.
14. P. W. Shor, "Equivalence of additivity questions in quantum information theory," quant-ph/0305035, to be published in Comm. Math. Phys.