Hyperkinetische Störungen

Eisert, H. G.

doi:10.1007/3-540-26425-6_90

Cited by 1 publication

(1 citation statement)

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“…We hope that the above results will help in further analysis of various aspects of quantum channels. It is very interesting that the recently developed complete hierarchies approach to the separability problem [33] has been extended [32] to include symmetric extensions of quantum operators which leads to class of entanglement measures. This gives hope that symmetric extensions will be a useful tool not only to qualify but also to quantify some aspects of quantum entanglement.…”

Section: Discussionmentioning

confidence: 99%

A simple test for quantum channel capacity

Nowakowski

Horodecki

2009

J. Phys. A: Math. Theor.

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Basing on states and channels isomorphism we point out that semidefinite programming can be used as a quick test for nonzero one-way quantum channel capacity. This can be achieved by search of symmetric extensions of states isomorphic to a given quantum channel. With this method we provide examples of quantum channels that can lead to high entanglement transmission but still have zero one-way capacity, in particular, regions of symmetric extendibility for isotropic states in arbitrary dimensions are presented. Further we derive a new entanglement parameter based on (normalised) relative entropy distance to the set of states that have symmetric extensions and show explicitly the symmetric extension of isotropic states being the nearest to singlets in the set of symmetrically extendible states. The suitable regularisation of the parameter provides a new upper bound on one-way distillable entanglement.

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Section: Discussionmentioning

confidence: 99%