The Quantum Entropy Cone of Stabiliser States
arXiv:1302.5453 · doi:10.4230/LIPIcs.TQC.2013.270
Abstract
We investigate the universal linear inequalities that hold for the von Neumann entropies in a multi-party system, prepared in a stabiliser state. We demonstrate here that entropy vectors for stabiliser states satisfy, in addition to the classic inequalities, a type of linear rank inequalities associated with the combinatorial structure of normal subgroups of certain matrix groups. In the 4-party case, there is only one such inequality, the so-called Ingleton inequality. For these systems we show that strong subadditivity, weak monotonicity and Ingleton inequality exactly characterize the entropy cone for stabiliser states.
15 pages, uses lipics.cls (http://www.dagstuhl.de/en/publications/lipics). V2 is the final TQC 2013 proceedings version, it has numerous corrections, updated references, and a new co-author
References in corpus (4)
Cited by in corpus (11)
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