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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, Skolan för teknikvetenskap (SCI), Fysik, Kondenserade materiens teori.ORCID-id: 0000-0003-3328-8525
Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA..
Vise andre og tillknytning
2018 (engelsk)Inngår i: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 98, nr 23, artikkel-id 235163Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
AMER PHYSICAL SOC , 2018. Vol. 98, nr 23, artikkel-id 235163
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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

Tilgjengelig fra: 2019-01-21 Laget: 2019-01-21 Sist oppdatert: 2019-01-21bibliografisk kontrollert

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Bardarson, Jens H.

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