{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T16:19:17Z","timestamp":1778257157863,"version":"3.51.4"},"reference-count":30,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/100014036","name":"Multidisciplinary University Research Initiative","doi-asserted-by":"publisher","award":["FA9550-18-1-0161"],"award-info":[{"award-number":["FA9550-18-1-0161"]}],"id":[{"id":"10.13039\/100014036","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000183","name":"Army Research Office","doi-asserted-by":"publisher","award":["W911NF-12-1-0541"],"award-info":[{"award-number":["W911NF-12-1-0541"]}],"id":[{"id":"10.13039\/100000183","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000925","name":"John Templeton Foundation","doi-asserted-by":"publisher","award":["52536"],"award-info":[{"award-number":["52536"]}],"id":[{"id":"10.13039\/100000925","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["W911NF-12-1-0541"],"award-info":[{"award-number":["W911NF-12-1-0541"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Comput."],"published-print":{"date-parts":[[2023,12]]},"DOI":"10.1137\/18m1231055","type":"journal-article","created":{"date-parts":[[2020,12,15]],"date-time":"2020-12-15T16:59:59Z","timestamp":1608051599000},"page":"FOCS18-189-FOCS18-215","source":"Crossref","is-referenced-by-count":39,"title":["Classical Homomorphic Encryption for Quantum Circuits"],"prefix":"10.1137","volume":"52","author":[{"given":"Urmila","family":"Mahadev","sequence":"first","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2020,12,15]]},"reference":[{"key":"atypb1","first-page":"453","volume-title":"Proceedings on Innovations in Computer Science (ICS)","author":"Aharonov D.","year":"2010"},{"key":"atypb2","volume-title":"Interactive Proofs for Quantum Computations, preprint, https:\/\/arxiv.org\/abs\/1704.04487","author":"Aharonov D.","year":"2017"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.2000.892142"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01445125"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2018.00038"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2009.36"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-48000-7_30"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1145\/2488608.2488680"},{"key":"atypb10","first-page":"67","volume-title":"Crypto","author":"Brakerski Z.","year":"2018"},{"key":"atypb11","first-page":"269","volume-title":"STOC","author":"Bitansky N.","year":"2020"},{"key":"atypb12","unstructured":"Z. Brakerski and V. Vaikuntanathan,Lattice-Based FHE as Secure as PKE, preprint, Cryptology ePrint Archive, Report 2013\/541, 2013,http:\/\/eprint.iacr.org\/2013\/541."},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1137\/120868669"},{"key":"atypb15","first-page":"456","volume":"5","author":"Childs A. M.","year":"2005","journal-title":"Quantum Inf. Comput."},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-53015-3_1"},{"key":"atypb17","doi-asserted-by":"crossref","unstructured":"C. Gentry,A Fully Homomorphic Encryption Scheme, Ph.D thesis, Stanford University, 2009,crypto.stanford.edu\/craig.","DOI":"10.1145\/1536414.1536440"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1145\/1374376.1374407"},{"key":"atypb19","volume-title":"Creating Superpositions that Correspond to Efficiently Integrable Probability Distributions, preprint, arXiv:quant-ph\/0208112","author":"Grover L.","year":"2002"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-40041-4_5"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1145\/73007.73009"},{"key":"atypb22","first-page":"785","volume":"18","author":"Lai C.-Y.","year":"2018","journal-title":"Quantum. Inf. Comput."},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2018.00033"},{"key":"atypb24","first-page":"031004","volume":"7","author":"Mantri A.","year":"2017","journal-title":"Phys. Rev. X"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-29011-4_41"},{"key":"atypb26","first-page":"927","volume":"18","author":"Newman M.","year":"2017","journal-title":"Quantum Inf. Comput."},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.98.042334"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1145\/1536414.1536461"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1561\/0400000074"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1145\/3055399.3055489"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1145\/1060590.1060603"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1038\/srep33467"}],"container-title":["SIAM Journal on Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/18M1231055","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,21]],"date-time":"2023-12-21T21:36:49Z","timestamp":1703194609000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/18M1231055"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,12,15]]},"references-count":30,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2023,12,31]]}},"alternative-id":["10.1137\/18M1231055"],"URL":"https:\/\/doi.org\/10.1137\/18m1231055","relation":{},"ISSN":["0097-5397","1095-7111"],"issn-type":[{"value":"0097-5397","type":"print"},{"value":"1095-7111","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,12,15]]}}}