Dynamical Entanglement

• URL: http://arxiv.org/abs/2009.12304v2
• Date: Fri, 30 Oct 2020 17:53:23 GMT
• Title: Dynamical Entanglement
• Authors: Gilad Gour, Carlo Maria Scandolo
• Abstract summary: We work with the partial transpose of a superchannel, and use it to define computable measures of dynamical entanglement. We show that a version of it, the max-logarithmic negativity, represents the exact entanglement cost.
• Score: 7.734726150561088
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Unlike the entanglement of quantum states, very little is known about the entanglement of bipartite channels, called dynamical entanglement. Here we work with the partial transpose of a superchannel, and use it to define computable measures of dynamical entanglement, such as the negativity. We show that a version of it, the max-logarithmic negativity, represents the exact asymptotic dynamical entanglement cost. We discover a family of dynamical entanglement measures that provide necessary and sufficient conditions for bipartite channel simulation under local operations and classical communication and under operations with positive partial transpose.

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