{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T04:51:09Z","timestamp":1778215869401,"version":"3.51.4"},"reference-count":7,"publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","license":[{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"NSF","award":["CF-1553477"],"award-info":[{"award-number":["CF-1553477"]}]},{"DOI":"10.13039\/100000181","name":"AFOSR","doi-asserted-by":"crossref","award":["FA9550- 16-1-0495"],"award-info":[{"award-number":["FA9550- 16-1-0495"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100014036","name":"MURI","doi-asserted-by":"crossref","award":["FA9550-18-1-016"],"award-info":[{"award-number":["FA9550-18-1-016"]}],"id":[{"id":"10.13039\/100014036","id-type":"DOI","asserted-by":"crossref"}]},{"name":"NSF","award":["PHY-1125565"],"award-info":[{"award-number":["PHY-1125565"]}]},{"DOI":"10.13039\/100000936","name":"Gordon and Betty Moore Foundation","doi-asserted-by":"crossref","award":["GBMF- 12500028"],"award-info":[{"award-number":["GBMF- 12500028"]}],"id":[{"id":"10.13039\/100000936","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["quantum-journal.org"],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"<jats:p>We establish a strong monogamy-of-entanglement property for subspace coset states, which are uniform superpositions of vectors in a linear subspace of <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msubsup><mml:mrow class=\"MJX-TeXAtom-ORD\"><mml:mi mathvariant=\"double-struck\">F<\/mml:mi><\/mml:mrow><mml:mn>2<\/mml:mn><mml:mi>n<\/mml:mi><\/mml:msubsup><\/mml:math> to which has been applied a quantum one-time pad. This property was conjectured recently by [Coladangelo, Liu, Liu, and Zhandry, Crypto'21] and shown to have applications to unclonable decryption and copy-protection of pseudorandom functions. We present two proofs, one which directly follows the method of the original paper and the other which uses an observation from [Vidick and Zhang, Eurocrypt'20] to reduce the analysis to a simpler monogamy game based on BB'84 states. Both proofs ultimately rely on the same proof technique, introduced in [Tomamichel, Fehr, Kaniewski and Wehner, New Journal of Physics '13].<\/jats:p>","DOI":"10.22331\/q-2022-09-01-791","type":"journal-article","created":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T14:28:51Z","timestamp":1662042531000},"page":"791","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":21,"title":["A monogamy-of-entanglement game for subspace coset states"],"prefix":"10.22331","volume":"6","author":[{"given":"Eric","family":"Culf","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of Ottawa, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Vidick","sequence":"additional","affiliation":[{"name":"Department of Computing and Mathematical Sciences, California Institute of Technology, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2022,9,1]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"V. V. Albert, J. P. Covey, and J. Preskill. Robust encoding of a qubit in a molecule. Physical Review X, 10(3), 2020. DOI: 10.1103\/physrevx.10.031050.","DOI":"10.1103\/physrevx.10.031050"},{"key":"1","doi-asserted-by":"publisher","unstructured":"A. Coladangelo, J. Liu, Q. Liu, and M. Zhandry. Hidden cosets and applications to unclonable cryptography. In T. Malkin and C. Peikert, editors, Advances in Cryptology \u2013 CRYPTO 2021, pages 556\u2013584, Cham, 2021. Springer International Publishing. DOI: 10.1007\/978-3-030-84242-0_20.","DOI":"10.1007\/978-3-030-84242-0_20"},{"key":"2","doi-asserted-by":"publisher","unstructured":"N. Johnston, R. Mittal, V. Russo, and J. Watrous. Extended non-local games and monogamy-of-entanglement games. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2189): 20160003, 2016. DOI: 10.1098\/rspa.2016.0003.","DOI":"10.1098\/rspa.2016.0003"},{"key":"3","doi-asserted-by":"publisher","unstructured":"M. Koashi. Unconditional security of quantum key distribution and the uncertainty principle. In Journal of Physics: Conference Series, volume 36, page 016. IOP Publishing, 2006. DOI: 10.1088\/1742-6596\/36\/1\/016.","DOI":"10.1088\/1742-6596\/36\/1\/016"},{"key":"4","doi-asserted-by":"publisher","unstructured":"M. Tomamichel, S. Fehr, J. Kaniewski, and S. Wehner. A monogamy-of-entanglement game with applications to device-independent quantum cryptography. New Journal of Physics, 15(10): 103002, 2013. DOI: 10.1088\/1367-2630\/15\/10\/103002.","DOI":"10.1088\/1367-2630\/15\/10\/103002"},{"key":"5","doi-asserted-by":"publisher","unstructured":"M. Tomamichel and A. Leverrier. A largely self-contained and complete security proof for quantum key distribution. Quantum, 1: 14, 2017. DOI: 10.22331\/q-2017-07-14-14.","DOI":"10.22331\/q-2017-07-14-14"},{"key":"6","doi-asserted-by":"publisher","unstructured":"T. Vidick and T. Zhang. Classical proofs of quantum knowledge. In Annual International Conference on the Theory and Applications of Cryptographic Techniques, pages 630\u2013660. Springer, 2021. DOI: 10.1007\/978-3-030-77886-6_22.","DOI":"10.1007\/978-3-030-77886-6_22"}],"container-title":["Quantum"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/quantum-journal.org\/papers\/q-2022-09-01-791\/pdf\/","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T14:28:58Z","timestamp":1662042538000},"score":1,"resource":{"primary":{"URL":"https:\/\/quantum-journal.org\/papers\/q-2022-09-01-791\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,1]]},"references-count":7,"URL":"https:\/\/doi.org\/10.22331\/q-2022-09-01-791","archive":["CLOCKSS"],"relation":{},"ISSN":["2521-327X"],"issn-type":[{"value":"2521-327X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,1]]},"article-number":"791"}}