01648nas a2200169 4500008004100000245006500041210006400106260001500170300000700185520110300192100001701295700002101312700002601333700002501359700001901384856007501403 2018 eng d00aEntanglement of purification: from spin chains to holography0 aEntanglement of purification from spin chains to holography c2018/01/22 a983 a
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.
1 aNguyen, Phuc1 aDevakul, Trithep1 aHalbasch, Matthew, G.1 aZaletel, Michael, P.1 aSwingle, Brian uhttps://link.springer.com/article/10.1007%2FJHEP01%282018%29098#citeas