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Channel-state duality and the separability problem

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arxiv 1909.13309 v2 pith:XZC5FFWO submitted 2019-09-29 quant-ph math-phmath.MP

Channel-state duality and the separability problem

classification quant-ph math-phmath.MP
keywords separabilitystatesanalyzedapproachchannel-statechoi-jamiolkowskicriteriadecomposition
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Separability of quantum states is analyzed with the use of the Choi-Jamiolkowski isomorphism. Spectral separability criteria are derived. The presented approach is illustrated with various examples, among which a separable decomposition of 2 \otimes 2 isotropic states is obtained.

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  1. Channel-State duality with centers

    quant-ph 2024-04 unverdicted novelty 5.0

    Generalizes channel-state duality to algebras with centers, establishing a link between state non-separability and channel isometry, plus extension to infinite-dimensional trace-class operators.