English

Dynamical Entanglement

Quantum Physics 2020-11-02 v2

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.

Keywords

Cite

@article{arxiv.2009.12304,
  title  = {Dynamical Entanglement},
  author = {Gilad Gour and Carlo Maria Scandolo},
  journal= {arXiv preprint arXiv:2009.12304},
  year   = {2020}
}

Comments

6+1 pages, 3 figures. Short version of arXiv:1907.02552, close to published version

R2 v1 2026-06-23T18:48:01.967Z