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Second Law of Entanglement Dynamics for the Non-Asymptotic Regime

Quantum Physics 2022-03-15 v1 Information Theory math.IT

Abstract

The distillable entanglement of a bipartite quantum state does not exceed its entanglement cost. This well known inequality can be understood as a second law of entanglement dynamics in the asymptotic regime of entanglement manipulation, excluding the possibility of perpetual entanglement extraction machines that generate boundless entanglement from a finite reserve. In this paper, I establish a refined second law of entanglement dynamics that holds for the non-asymptotic regime of entanglement manipulation.

Keywords

Cite

@article{arxiv.2105.05867,
  title  = {Second Law of Entanglement Dynamics for the Non-Asymptotic Regime},
  author = {Mark M. Wilde},
  journal= {arXiv preprint arXiv:2105.05867},
  year   = {2022}
}

Comments

6 pages, submission to the 2021 Information Theory Workshop