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

• URL: http://arxiv.org/abs/2104.13829v1
• Date: Wed, 28 Apr 2021 15:32:11 GMT
• Title: Interpolating between positive and completely positive maps: a new hierarchy of entangled states
• Authors: Katarzyna Siudzi\'nska, Sagnik Chakraborty, and Dariusz Chru\'sci\'nski
• Abstract summary: A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It gives rise to a new characterization of entangled states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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