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arxiv: quant-ph/0607035 · v1 · submitted 2006-07-05 · 🪐 quant-ph

Constructions of indecomposable positive maps based on a new criterion for indecomposability

William Hall (University of York) This is my paper
classification 🪐 quant-ph
keywords criterionmapspositivefamiliesindecomposablequantumspacestates
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We give a criterion for a positive mapping on the space of operators on a Hilbert space to be indecomposable. We show that this criterion can be applied to two families of positive maps. These families of maps can then be used to form separability criteria for bipartite quantum states that can detect the entanglement of bound entangled quantum states.

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  1. Detecting bipartite entanglement with PnCP maps and non-negative polynomials

    quant-ph 2026-05 conditional novelty 5.0

    Implements PnCP maps from non-SOS polynomials, proves they are indecomposable and boundary-localized, shows inequivalence to most known maps, and demonstrates detection of PPT entangled states missed by other criteria.