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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Robustness of entangled states that are positive under partial transposition

arXiv
Authors: Somshubhro Bandyopadhyay, Sibasish Ghosh, Vwani Roychowdhury

Year

2007

Paper ID

49202

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

We study robustness of bipartite entangled states that are positive under partial transposition (PPT). It is shown that almost all PPT entangled states are unconditionally robust, in the sense, both inseparability and positivity are preserved under sufficiently small perturbations in its immediate neighborhood. Such unconditionally robust PPT entangled states lie inside an open PPT entangled ball. We construct examples of such balls whose radii are shown to be finite and can be explicitly calculated. This provides a lower bound on the volume of all PPT entangled states. Multipartite generalization of our constructions are also outlined.

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  • We study robustness of bipartite entangled states that are positive under partial transposition (PPT).

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0709.0027 [2] arXiv https://arxiv.org/abs/0709.0027 [3] Publisher https://arxiv.org/abs/0709.0027

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