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Semidefinite programming lower bounds on the squashed entanglement

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arxiv 2203.03394 v1 pith:QBGZJ7CP submitted 2022-03-07 quant-ph

Semidefinite programming lower bounds on the squashed entanglement

classification quant-ph
keywords entanglementsquashedboundslowermeasureprogrammingsemidefinitealgorithms
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The squashed entanglement is a widely used entanglement measure that has many desirable properties. However, as it is based on an optimization over extensions of arbitrary dimension, one drawback of this measure is the lack of good algorithms to compute it. Here, we introduce a hierarchy of semidefinite programming lower bounds on the squashed entanglement.

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  1. Semidefinite optimization of the quantum relative entropy of channels

    quant-ph 2024-10 unverdicted novelty 6.0

    Semidefinite optimization yields arbitrarily tight upper and lower bounds on the quantum relative entropy of channels via discretized linearization of an integral representation.