Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 58, Issue 6, Pages 3657-3663Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2012.2185036
Keywords
Linear inequalities; quantum information; von Neumann entropy
Funding
- U.K. Engineering and Physical Sciences Research Council
- European Commission (STREP)
- European Research Council
- Royal Society
- Philip Leverhulme Trust
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We exhibit infinitely many new, constrained inequalities for the von Neumann entropy, and show that they are independent of each other and the known inequalities obeyed by the von Neumann entropy (basically strong subadditivity). The new inequalities were proved originally by Makarychev et al. for the Shannon entropy, using properties of probability distributions. Our approach extends the proof of the inequalities to the quantum domain, and includes their independence for the quantum and also the classical cases.
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