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Finding purifications with minimal entanglement
Tech Univ Munich, Dept Phys, T42,James Franck Str 1, D-85748 Garching, Germany..
Weizmann Inst Sci, Dept Condensed Matter Phys, IL-7610001 Rehovot, Israel..
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0000-0003-3328-8525
Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA..
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2018 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 98, no 23, article id 235163Article in journal (Refereed) Published
Abstract [en]

Purification is a tool that allows to represent mixed quantum states as pure states on enlarged Hilbert spaces. A purification of a given state is not unique and its entanglement strongly depends on the particular choice made. Moreover, in one-dimensional systems, the amount of entanglement is linked to how efficiently the purified state can be represented using matrix-product states (MPS). We introduce an MPS based method that allows to find the minimally entangled representation by iteratively minimizing the second Renyi entropy. First, we consider the thermofield double purification and show that its entanglement can be strongly reduced especially at low temperatures. Second, we show that a slowdown of the entanglement growth following a quench of an infinite temperature state is possible.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2018. Vol. 98, no 23, article id 235163
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Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-241194DOI: 10.1103/PhysRevB.98.235163ISI: 000454630300001Scopus ID: 2-s2.0-85059514028OAI: oai:DiVA.org:kth-241194DiVA, id: diva2:1280882
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QC 20190121

Available from: 2019-01-21 Created: 2019-01-21 Last updated: 2019-01-21Bibliographically approved

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Bardarson, Jens H.

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