{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:41:17Z","timestamp":1775054477475,"version":"3.50.1"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2021,3,1]],"date-time":"2021-03-01T00:00:00Z","timestamp":1614556800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,3,1]],"date-time":"2021-03-01T00:00:00Z","timestamp":1614556800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"crossref","award":["19-11-00086"],"award-info":[{"award-number":["19-11-00086"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2021,3]]},"DOI":"10.1007\/s11128-021-03046-8","type":"journal-article","created":{"date-parts":[[2021,3,8]],"date-time":"2021-03-08T08:02:52Z","timestamp":1615190572000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Maximum information gain of approximate quantum position measurement"],"prefix":"10.1007","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5699-521X","authenticated-orcid":false,"given":"A. S.","family":"Holevo","sequence":"first","affiliation":[]},{"given":"V. I.","family":"Yashin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,3,8]]},"reference":[{"key":"3046_CR1","doi-asserted-by":"publisher","first-page":"65","DOI":"10.4064\/bc73-0-4","volume":"73","author":"A Barchielli","year":"2006","unstructured":"Barchielli, A., Lupieri, G.: Instruments and mutual entropies in quantum information. Banach Center Public. 73, 65\u201380 (2006)","journal-title":"Banach Center Public."},{"issue":"12","key":"3046_CR2","doi-asserted-by":"publisher","first-page":"7987","DOI":"10.1109\/TIT.2014.2365207","volume":"60","author":"M Berta","year":"2014","unstructured":"Berta, M., Renes, J.M., Wilde, M.M.: Identifying the information gain of a quantum measurement. IEEE Trans. Inform. Theory 60(12), 7987\u20138006 (2014)","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"2","key":"3046_CR3","doi-asserted-by":"publisher","first-page":"481","DOI":"10.1103\/RevModPhys.66.481","volume":"68","author":"CM Caves","year":"1994","unstructured":"Caves, C.M., Drummond, P.D.: Quantum limits on bosonic communication rates. Rev. Mod. Phys. 68(2), 481\u2013537 (1994)","journal-title":"Rev. Mod. Phys."},{"issue":"5","key":"3046_CR4","doi-asserted-by":"publisher","first-page":"052202","DOI":"10.1063\/1.4921265","volume":"56","author":"G De Palma","year":"2015","unstructured":"De Palma, G., Mari, A., Giovannetti, V., Holevo, A.S.: Normal form decomposition for Gaussian-to-Gaussian superoperators. J. Math. Phys. 56(5), 052202 (2015)","journal-title":"J. Math. Phys."},{"key":"3046_CR5","doi-asserted-by":"publisher","first-page":"1050","DOI":"10.1103\/PhysRevA.55.100","volume":"55","author":"MJW Hall","year":"1997","unstructured":"Hall, M.J.W.: Quantum information and correlation bounds. Phys. Rev. A 55, 1050\u20132947 (1997)","journal-title":"Phys. Rev. A"},{"key":"3046_CR6","unstructured":"Holevo, A.S.: Information capacity of quantum observable. Problems Inform. Transm. 48(1), 1\u201310 (2012). arXiv:1103.2615"},{"key":"3046_CR7","doi-asserted-by":"publisher","DOI":"10.1515\/9783110642490","volume-title":"Quantum Systems, Channels, Information: A Mathematical Introduction","author":"AS Holevo","year":"2019","unstructured":"Holevo, A.S.: Quantum Systems, Channels, Information: A Mathematical Introduction, 2nd edn. De Gruyter, Berlin (2019)","edition":"2"},{"key":"3046_CR8","unstructured":"Holevo, A.S.: Gaussian maximizers for quantum Gaussian observables and ensembles. IEEE Trans. Inform. Theory 66, 5634-5641 (2020)"},{"key":"3046_CR9","doi-asserted-by":"publisher","first-page":"175304","DOI":"10.1088\/1751-8121\/ab7df8","volume":"53","author":"AS Holevo","year":"2020","unstructured":"Holevo, A.S., Kuznetsova, A.A.: Information capacity of continuous variable measurement channel. J. Phys. A: Math. Theor. 53, 175304 (2020)","journal-title":"J. Phys. A: Math. Theor."},{"key":"3046_CR10","doi-asserted-by":"publisher","first-page":"375307","DOI":"10.1088\/1751-8121\/aba91f","volume":"53","author":"AS Holevo","year":"2020","unstructured":"Holevo, A.S., Kuznetsova, A.A.: The information capacity of entanglement-assisted continuous variable measurement. J. Phys. A Math. Theor. 53, 375307 (2020)","journal-title":"J. Phys. A Math. Theor."},{"issue":"2","key":"3046_CR11","doi-asserted-by":"publisher","first-page":"298","DOI":"10.1137\/S0040585X97984826","volume":"58","author":"AA Kuznetsova","year":"2013","unstructured":"Kuznetsova, A.A., Holevo, A.S.: Coding theorems for hybrid channels. Theory Probab. Appl. 58(2), 298\u2013324 (2013)","journal-title":"Theory Probab. Appl."},{"key":"3046_CR12","unstructured":"Kuznetsova, A.A., Holevo, A.S.: Coding theorems for hybrid channels. II. Theory Probab. Appl. 59(1), 145\u2013154 (2015). arXiv:1408.3255"},{"issue":"3","key":"3046_CR13","doi-asserted-by":"publisher","first-page":"759","DOI":"10.1063\/1.527179","volume":"27","author":"M Ozawa","year":"1986","unstructured":"Ozawa, M.: On information gain by quantum measurements of continuous observables. J. Math. Phys. 27(3), 759\u2013763 (1986)","journal-title":"J. Math. Phys."},{"key":"3046_CR14","doi-asserted-by":"publisher","DOI":"10.1201\/9781315118727","volume-title":"Quantum Continuous Variables: A Primer of Theoretical Methods","author":"A Serafini","year":"2017","unstructured":"Serafini, A.: Quantum Continuous Variables: A Primer of Theoretical Methods. CRC Press, Boca Raton (2017)"},{"issue":"5","key":"3046_CR15","doi-asserted-by":"publisher","first-page":"052202","DOI":"10.1063\/1.3589831","volume":"52","author":"ME Shirokov","year":"2011","unstructured":"Shirokov, M.E.: Entropy reduction of quantum measurements. J. Math. Phys. 52(5), 052202 (2011)","journal-title":"J. Math. Phys."},{"key":"3046_CR16","doi-asserted-by":"publisher","first-page":"012311","DOI":"10.1103\/PhysRevA.64.012311","volume":"64","author":"A Winter","year":"2001","unstructured":"Winter, A., Massar, S.: Compression of quantum measurement operations. Phys. Rev. A 64, 012311 (2001)","journal-title":"Phys. Rev. A"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-021-03046-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-021-03046-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-021-03046-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,31]],"date-time":"2021-03-31T22:48:05Z","timestamp":1617230885000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-021-03046-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,3]]}},"alternative-id":["3046"],"URL":"https:\/\/doi.org\/10.1007\/s11128-021-03046-8","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,3]]},"assertion":[{"value":"5 October 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 February 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 March 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"97"}}