Entropic Inequalities for a Class of Quantum Secret Sharing States
Quantum Physics
2011-04-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1009.0492,
title = {Entropic Inequalities for a Class of Quantum Secret Sharing States},
author = {Pradeep Sarvepalli},
journal= {arXiv preprint arXiv:1009.0492},
year = {2011}
}
Comments
LaTex, 5 pages