Entropic Inequalities for a Class of Quantum Secret Sharing States

Details Entropic Inequalities for a Class of Quantum Secret Sharing States Entropic Inequalities for a Class of Quantum Secret Sharing States

2010-09-02

arxiv.org/abs/1009.0492v1

Phys. Rev. A 83, 042303, 2011

Physics

Quantum Physics

LaTex, 5 pages

Scientific paper

10.1103/PhysRevA.83.042303

It is well-known that von Neumann entropy is nonmonotonic unlike Shannon entropy (which is monotonically nondecreasing). Consequently, it is difficult to relate the entropies of the subsystems of a given quantum state. In this paper, we show that if we consider quantum secret sharing states arising from a class of monotone span programs, then we can partially recover the monotonicity of entropy for the so-called unauthorized sets. Furthermore, we can show for these quantum states the entropy of the authorized sets is monotonically nonincreasing.

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