Symmetric polynomials in information theory: Entropy and subentropy

Journal of Mathematical Physics

Volumn 56, Issue 6, 2015, Pages

  Jozsa, Richard ^a   Mitchison, Graeme ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84935922837     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4922317     Document Type: Article

References (19)

1. R. Jozsa, D. Robb, and W. K. Wootters, "Lower bound for accessible information in quantum mechanics," Phys. Rev. A 49, 668-677 (1994).
2. W. Wootters, "Random quantum states," Found. Phys. 20, 1365-1378 (1990).
3. A. S. Holevo, Probl. Inf. Transm. 9, 177 (1973).
4. S. Hill and W. K. Wootters, "Entanglement of a pair of quantum bits," Phys. Rev. Lett. 78, 5022-5025 (1997).
5. W. K. Wootters, "Entanglement of formation of an arbitrary state of two qubits," Phys. Rev. Lett. 80, 2245 (1998).
6. P. Rungta, V. Buzek, C. M. Caves, M. Hillery, and G. J. Milburn, "Universal state inversion and concurrence in arbitrary dimensions," Phys. Rev. A 64, 042315 (2001).
7. G. Gour, "A family of concurrence monotones and its applications," Phys. Rev. A 71, 012318 (2005).
8. G. Mitchison and R. Jozsa, "Towards a geometrical interpretation of quantum-information compression," Phys. Rev. A 69, 032304 (2004).
9. M. Fannes, "Monotonicity of von Neumann entropy expressed as a function of Renyi entropies," Open Syst. Inf. Dyn. 21, 1450006 (2014); arXiv:1310.5941.
10. M. Hellmund and A. Uhlmann, "An entropy inequality," Quantum Inf. Comput. 9, 622-627 (2009).
11. S. N. Bernstein, "Sur les fonctions absolument monotones," Acta Mathematica 52, 1-66 (1928).
12. R. L. Schilling, R. Song, and Z. Voncracek, in Bernstein Functions, Theory and Applications (De Gruyter Studies in Mathematics, 2012), Vol. 37.
13. W. Feller, in An Introduction to Probability Theory and Its Applications (John Wiley and Sons, New York, 1971), Vol. 2.
14. S. Bochner, Harmonic Analysis and the Theory of Probability (University of California Press, Berkeley and Los Angeles, 1955).
15. K. Audenaert, "Trace inequalities for completely monotone functions and Bernstein functions," Linear Algebra Appl. 437(2), 601-611 (2012).
16. R. Bhatia, Matrix Analysis, Graduate Texts in Mathematics (Springer Verlag, 1996), Vol. 169.
17. N. Datta, T. Dorlas, R. Jozsa, and F. Benatti, "Properties of subentropy," J. Math. Phys. 55, 062203 (2014); e-print arXiv: 1310.1312 [math. FA].
18. J. Agler, J. E. McCarthy, and N. J. Young, "Operator monotone functions and Löwner functions of several variables," Ann. Math. 176, 1783-1826 (2012); e-print arXiv:1009.3921 [math. FA].
19. F. Hansen, "Operator monotone functions of several variables," Math. Inequalities Appl. 6, 1-17 (2003); e-print arXiv:math/0205147 [math. OA].