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Second Law of Entanglement Dynamics for the Non-Asymptotic Regime

2021/05/12 by Mark M. Wilde
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Discrete mathematics #Dynamics (music) #Entanglement witness #Mathematics #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Squashed entanglement #Statistical physics #cs.IT #math.IT #quant-ph

paper · pdf · doi:10.1109/itw48936.2021.9611411

published as Proceedings of the 2021 IEEE Information Theory Workshop (ITW), October 2021 · 6 pages, submission to the 2021 Information Theory Workshop

arxiv created 2021/05/12 · openalex publication_date 2021/10/17 · arxiv updated 2022/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations