{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,11,7]],"date-time":"2022-11-07T15:34:43Z","timestamp":1667835283586},"reference-count":0,"publisher":"Rinton Press","issue":"11&12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["QIC"],"published-print":{"date-parts":[[2013,11]]},"abstract":"<jats:p>We prove upper bounds on the rate, called \"mixing rate\", at which the von Neumann entropy of the expected density operator of a given ensemble of states changes under non-local unitary evolution. For an ensemble consisting of two states, with probabilities of p and 1-p, we prove that the mixing rate is bounded above by 4\\sqrt{p(1-p)} for any Hamiltonian of norm 1. For a general ensemble of states with probabilities distributed according to a random variable X and individually evolving according to any set of bounded Hamiltonians, we conjecture that the mixing rate is bounded above by a Shannon entropy of a random variable $X$. For this general case we prove an upper bound that is independent of the dimension of the Hilbert space on which states in the ensemble act.<\/jats:p>","DOI":"10.26421\/qic13.11-12-5","type":"journal-article","created":{"date-parts":[[2021,3,4]],"date-time":"2021-03-04T02:43:45Z","timestamp":1614825825000},"page":"986-994","source":"Crossref","is-referenced-by-count":2,"title":["Upper bounds on mixing rates"],"prefix":"10.26421","volume":"13","author":[{"given":"Elliott H.","family":"Lieb","sequence":"first","affiliation":[]},{"given":"Anna","family":"Vershynina","sequence":"additional","affiliation":[]}],"member":"10955","published-online":{"date-parts":[[2013,11]]},"container-title":["Quantum Information and Computation"],"original-title":[],"deposited":{"date-parts":[[2021,3,4]],"date-time":"2021-03-04T02:44:09Z","timestamp":1614825849000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rintonpress.com\/journals\/doi\/QIC13.11-12-5.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11]]},"references-count":0,"journal-issue":{"issue":"11&12","published-online":{"date-parts":[[2013,11]]},"published-print":{"date-parts":[[2013,11]]}},"URL":"https:\/\/doi.org\/10.26421\/qic13.11-12-5","relation":{},"ISSN":["1533-7146","1533-7146"],"issn-type":[{"value":"1533-7146","type":"print"},{"value":"1533-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,11]]}}}