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Partial Transpose As A General Criterion for the Separability of Quantum States

2014/07/11 by P Pranav, Pranav P., P., Pranav +2
Chemistry · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Molecular spectroscopy and chirality #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1407.3088

openalex publication_date 2014/07/11 · arxiv created 2015/01/23 · arxiv updated 2015/01/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Usual separability criteria applicable to distinguishable particles are not applicable to identical particles. Here we show that Partial transposition and symmetrization (or anti symmetrization) of density matrix of bipartite boson systems (fermion systems) can be used to check whether a state is separable or not.By using determinant based separability criteria it has been found that bipartite states of identical particles are always separable. It is found that partial transposition and symmetrization is equivalent to realignment criteria proposed by Wu.

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