The verification of a requirement of entanglement measures
- URL: http://arxiv.org/abs/2011.00458v1
- Date: Sun, 1 Nov 2020 09:47:35 GMT
- Title: The verification of a requirement of entanglement measures
- Authors: Xianfei Qi, Ting Gao, Fengli Yan
- Abstract summary: We show that most known entanglement measures of bipartite quantum systems satisfy the new criterion.
Our results give a refinement in quantifying entanglement and provide new insights into a better understanding of entanglement properties of quantum systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The quantification of quantum entanglement is a central issue in quantum
information theory. Recently, Gao \emph{et al}. (
\href{http://dx.doi.org/10.1103/PhysRevLett.112.180501}{Phys. Rev. Lett.
\textbf{112}, 180501 (2014)}) pointed out that the maximum of entanglement
measure of the permutational invariant part of $\rho$ ought to be a lower bound
on entanglement measure of the original state $\rho$, and proposed that this
argument can be used as an additional requirement for (multipartite)
entanglement measures. Whether any individual proposed entanglement measure
satisfies the requirement still has to prove. In this work, we show that most
known entanglement measures of bipartite quantum systems satisfy the new
criterion, include all convex-roof entanglement measures, the relative entropy
of entanglement, the negativity, the logarithmic negativity and the logarithmic
convex-roof extended negativity. Our results give a refinement in quantifying
entanglement and provide new insights into a better understanding of
entanglement properties of quantum systems.
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