Constructing separable states in infinite-dimensional systems by operator matrices
Quantum Physics
2019-02-01 v1
Abstract
We introduce a class of states so-called semi-SSPPT (semi super strong positive partial transposition) states in infinite-dimensional bipartite systems by the Cholesky decomposition in terms of operator matrices and show that every semi-SSPPT state is separable. This gives a method of constructing separable states and generalizes the corresponding results in [Phys. Rev. A \textbf{77}, 022113(2008), J. Phys. A: Math. Theor. 45 505303 (2012)]. This criterion is specially convenient to be applied when one of the subsystem is a qubit system.
Keywords
Cite
@article{arxiv.1612.01092,
title = {Constructing separable states in infinite-dimensional systems by operator matrices},
author = {Jinchuan Hou and Jinfei Chai},
journal= {arXiv preprint arXiv:1612.01092},
year = {2019}
}
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12 pages