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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Constructing separable states in infinite-dimensional systems by operator matrices
arXiv
Authors: Jinchuan Hou, Jinfei Chai
Year
2016
Paper ID
42044
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
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 \[Phys. Rev. A 77, 022113(2008), J. Phys. A: Math. Theor. 45 505303 (2012)\]. This criterion is specially convenient to be applied when one of the subsystem is a qubit system.
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- 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...
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