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arXiv · 2104.13829

Interpolating between positive and completely positive maps: a new hierarchy of entangled states

Katarzyna Siudzińska·Sagnik Chakraborty·Dariusz Chruściński
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Abstract

A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in term of the Schmidt number. The analysis is illustrated with examples of qubit maps.

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Katarzyna Siudzińska, Sagnik Chakraborty, Dariusz Chruściński. 2021-04-28. Interpolating between positive and completely positive maps: a new hierarchy of entangled states. https://doi.org/10.3390/e23050625

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