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Title: Infinitely many constrained inequalities for the von neumann entropy
Authors: Cadney, J.
Linden, N.
Winter, A. 
Keywords: -von Neumann entropy
Linear inequalities
quantum information
Issue Date: 2012
Citation: Cadney, J., Linden, N., Winter, A. (2012). Infinitely many constrained inequalities for the von neumann entropy. IEEE Transactions on Information Theory 58 (6) : 3657-3663. ScholarBank@NUS Repository.
Abstract: 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 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. © 2012 IEEE.
Source Title: IEEE Transactions on Information Theory
ISSN: 00189448
DOI: 10.1109/TIT.2012.2185036
Appears in Collections:Staff Publications

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