The inequalities of quantum information theory

IEEE Transactions on Information Theory

Volumn 49, Issue 4, 2003, Pages 773-789

  Pippenger, Nicholas ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Linear inequalities; Quantum information; Von Neumann entropy

Indexed keywords

ENTROPY; MATRIX ALGEBRA; NUMERICAL ANALYSIS; SET THEORY; TOPOLOGY;

QUANTUM INFORMATION THEORY;

QUANTUM THEORY;

EID: 0037397996     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2003.809569     Document Type: Article

References (14)

1. H. Araki and E. H. Lieb, "Entropy inequalities," Commun. Math. Phys., vol. 18, pp, 160-170, 1970.
2. C. Carathéodory, "Über den Variabilitätsbereich der Koeffizienten von Potenzreihen, die gegebene Werte nicht annehmen," Math. Ann., vol. 64, pp. 95-115, 1907.
3. S. Fujishige, "Polymatroidal dependence structure of a set of random variables," Inform. Contr., vol. 39, pp. 55-72, 1978.
4. T. S. Han, "Nonnegative entropy measures of multivariate symmetric correlations," Inform. Contr., vol. 36, pp. 133-156, 1978.
5. _, "A uniqueness of Shannon's information distance and related non-negativity problems," J. Combinatorics, Inform. Syst. Sci., vol. 6, pp. 320-331, 1981.
6. O. E. Lanford, III and D. W. Robinson, "Mean entropy of states in quantum-statistical mechanics," J. Math. Phys., vol. 9, pp. 1120-1125, 1968.
7. E. H. Lieb and M. B. Ruskai, "Proof of the strong subadditivity of quantum-mechanical entropy," J. Math. Phys., vol. 14, pp. 1938-1941, 1973.
8. J. von Neumann, "Thermodynamik quantenmechanischer Gesamtheiten," Gött. Nachr., pp. 273-291, 1927.
9. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information. Cambridge, U.K.: Cambridge Univ. Press, 2000.
10. C. E. Shannon, "A mathematical theory of communication," Bell Syst. Tech. J., vol. 27, pp. 379-423, 623-655, 1948.
11. D. J. A. Welsh, Matroid Theory. London, U.K.: Academic, 1976.
12. R. W. Yeung, "A framework for linear information inequalities," IEEE Trans. Inform. Theory, vol. 43, pp. 1924-1934, Nov. 1997.
13. Z. Zhang and R. W. Yeung, "A non-Shannontype conditional inequality of information quantities," IEEE Trans. Inform. Theory, vol. 43, pp. 1982-1986, Nov. 1997.
14. Z. Zhang and R. W. Yeung, "On characterization of entropy function via information inequalities," IEEE Trans. Inform. Theory, vol. 44, pp. 1440-1452, July 1998.