{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T10:12:21Z","timestamp":1648980741579},"reference-count":12,"publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","license":[{"start":{"date-parts":[[2017,12,23]],"date-time":"2017-12-23T00:00:00Z","timestamp":1513987200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"<jats:p>Consider two parties: Alice and Bob and suppose that Bob is given a qubit system in a quantum state <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>\u03d5<\/mml:mi><\/mml:math>, unknown to him. Alice knows <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>\u03d5<\/mml:mi><\/mml:math> and she is supposed to convince Bob that she knows <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>\u03d5<\/mml:mi><\/mml:math> sending some test message. Is it possible for her to convince Bob providing him \"zero knowledge\" i. e. no information about <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>\u03d5<\/mml:mi><\/mml:math> he has? We prove that there is no \"zero knowledge\" protocol of that kind. In fact it turns out that basing on Alice message, Bob (or third party - Eve - who can intercept the message) can synthetize a copy of the unknown qubit state <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>\u03d5<\/mml:mi><\/mml:math> with nonzero probability. This \"no-go\" result puts general constrains on information processing where information about quantum state is involved.<\/jats:p>","DOI":"10.22331\/q-2017-12-23-41","type":"journal-article","created":{"date-parts":[[2017,12,23]],"date-time":"2017-12-23T10:49:59Z","timestamp":1514026199000},"page":"41","source":"Crossref","is-referenced-by-count":2,"title":["Zero-knowledge convincing protocol on quantum bit is impossible"],"prefix":"10.22331","volume":"1","author":[{"given":"Pawel","family":"Horodecki","sequence":"first","affiliation":[{"name":"Faculty of Applied Physics and Mathematics National Quantum Information Centre Gd\u00e1nsk University of Technology, 80\u2013233 Gd\u00e1nsk, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michal","family":"Horodecki","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics and Astrophysics, National Quantum Information Centre, Faculty of Mathematics, Physics and Informatics University of Gd\u00e1nsk, 80-308 Gd\u00e1nsk, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ryszard","family":"Horodecki","sequence":"additional","affiliation":[{"name":"Faculty of Applied Physics and Mathematics National Quantum Information Centre Gd\u00e1nsk University of Technology, 80\u2013233 Gd\u00e1nsk, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2017,12,23]]},"reference":[{"key":"1","doi-asserted-by":"publisher","unstructured":"W. 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Lett. 85, 3049 (2000).","DOI":"10.1103\/PhysRevLett.85.3049"}],"container-title":["Quantum"],"original-title":[],"language":"en","deposited":{"date-parts":[[2018,1,11]],"date-time":"2018-01-11T08:03:21Z","timestamp":1515657801000},"score":1,"resource":{"primary":{"URL":"https:\/\/quantum-journal.org\/papers\/q-2017-12-23-41\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,12,23]]},"references-count":12,"URL":"https:\/\/doi.org\/10.22331\/q-2017-12-23-41","relation":{},"ISSN":["2521-327X"],"issn-type":[{"value":"2521-327X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,12,23]]},"article-number":"41"}}