A class of inequalities inducing new separability criteria for bipartite quantum systems

Abstract

Inspired by the realignment or computable cross norm criterion, we present a new result about the characterization of quantum entanglement. Precisely, an interesting class of inequalities satisfied by all separable states of a bipartite quantum system is derived. These inequalities induce new separability criteria that generalize the realignment criterion.

arXiv commentexamples added; references added; results improved; title slightly modified

References in corpus (9)

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• Characterizing Entanglement
• A Schmidt number for density matrices
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Cited by in corpus (11)

• Observable estimation of entanglement for arbitrary finite-dimensional mixed states
• Entanglement detection via tighter local uncertainty relations
• Bipartite quantum systems: on the realignment criterion and beyond
• Theory of filtered type-II PDC in the continuous-variable domain: Quantifying the impacts of filtering
• Entanglement detection via some classes of measurements
• Improved Separability Criteria Based on Bloch Representation of Density Matrices
• On the relation between Schmidt coefficients and entanglement
• Enhanced realignment criterion vs. linear entanglement witnesses
• Detection of bound entanglement in continuous variable systems
• Entanglement detection beyond the CCNR criterion for infinite-dimensions
• A Family of Bipartite Separability Criteria Based on Bloch Representation of Density Matrices