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Bibliography

Conference Paper (international conference)

The Quantum Entropy Cone of Stabiliser States

Linden N., Matúš František, Ruskai M. B., Winter A.

: Proceedings of the 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013), p. 270-284 , Eds: Severini S., Brandao F.

: Conference on Theory of Quantum Computation, Communication and Cryptography /8./, (Guelph, CA, 2013)

: GA13-20012S, GA ČR

: Entropy inequalities, Stabiliser states, Ingleton inequality

: 10.4230/LIPIcs.TQC.2013.270

: http://library.utia.cas.cz/separaty/2013/MTR/matus-0399530.pdf

(eng): 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.

: BA