Entanglement of purification: from spin chains to holography
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Publication:1745512
DOI10.1007/JHEP01(2018)098zbMATH Open1384.81117arXiv1709.07424OpenAlexW3106509752MaRDI QIDQ1745512
Author name not available (Why is that?)
Publication date: 17 April 2018
Published in: (Search for Journal in Brave)
Abstract: Purification is a powerful technique in quantum physics whereby a mixed quantum state is extended to a pure state on a larger system. This process is not unique, and in systems composed of many degrees of freedom, one natural purification is the one with minimal entanglement. Here we study the entropy of the minimally entangled purification, called the entanglement of purification, in three model systems: an Ising spin chain, conformal field theories holographically dual to Einstein gravity, and random stabilizer tensor networks. We conjecture values for the entanglement of purification in all these models, and we support our conjectures with a variety of numerical and analytical results. We find that such minimally entangled purifications have a number of applications, from enhancing entanglement-based tensor network methods for describing mixed states to elucidating novel aspects of the emergence of geometry from entanglement in the AdS/CFT correspondence.
Full work available at URL: https://arxiv.org/abs/1709.07424
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