{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T16:55:56Z","timestamp":1649004956688},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2011,9]]},"abstract":"<jats:p>This article introduces the notion of consistent families (\u039b<jats:sup>(n)<\/jats:sup>)<jats:sub>n\u22651<\/jats:sub>of quantum channels. These families correspond to simultaneous observation of different copies of a given quantum system. Here, we are primarily interested in the analysis of measurements connected with them. As usual, the measurement of a quantum system requires the construction of a classical dilation of the corresponding quantum channel. In our case, the quantum systems represented by (\u039b<jats:sup>(n)<\/jats:sup>)<jats:sub>n\u22651<\/jats:sub>are supposed to interact through the measurement instrument only. That is, we construct a classical probability space which allows to have a common dilation for all the \u039b<jats:sup>(n)<\/jats:sup>' s . Doing this, we introduce and solve a quantum version of the moment problem.<\/jats:p>","DOI":"10.1142\/s1230161211000169","type":"journal-article","created":{"date-parts":[[2011,9,27]],"date-time":"2011-09-27T09:23:29Z","timestamp":1317115409000},"page":"235-251","source":"Crossref","is-referenced-by-count":0,"title":["Measurements and Consistent Families of Quantum Channels"],"prefix":"10.1142","volume":"18","author":[{"given":"Yves","family":"Le Jan","sequence":"first","affiliation":[{"name":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Paris-Sud, France"}]},{"given":"Rolando","family":"Rebolledo","sequence":"additional","affiliation":[{"name":"Centro de An\u00e1lisis Estoc\u00e2stico y Aplicaciones, Facultad de Matem\u00e1ticas, Universidad Cat\u00f4lica de Chile, Casilla 306, Santiago 22, Chile"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9868.00415"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198526599.001.0001"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4916(71)90108-4"},{"key":"rf4","doi-asserted-by":"crossref","first-page":"1247","DOI":"10.1214\/009117904000000207","volume":"32","author":"Le Jan Y.","journal-title":"Ann. Probab."},{"key":"rf5","series-title":"Cambridge Studies in Adv. Math.","volume-title":"Completely Bounded Maps and Operator Algebras","volume":"78","author":"Paulsen V. I.","year":"2002"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-33966-3_4"},{"key":"rf7","first-page":"211","volume":"6","author":"Stinespring W. F.","journal-title":"Proc. Am. Math. Soc."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-6188-9"}],"container-title":["Open Systems &amp; Information Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1230161211000169","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,25]],"date-time":"2020-06-25T02:36:46Z","timestamp":1593052606000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1230161211000169"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9]]},"references-count":8,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2011,9]]}},"alternative-id":["10.1142\/S1230161211000169"],"URL":"https:\/\/doi.org\/10.1142\/s1230161211000169","relation":{},"ISSN":["1230-1612","1793-7191"],"issn-type":[{"value":"1230-1612","type":"print"},{"value":"1793-7191","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,9]]}}}