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arXiv · 1612.01092

Constructing separable states in infinite-dimensional systems by operator matrices

Jinchuan Hou·Jinfei Chai
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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.

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Jinchuan Hou, Jinfei Chai. 2016-12-04. Constructing separable states in infinite-dimensional systems by operator matrices. https://doi.org/10.1007/s10773-017-3346-2

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