{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,19]],"date-time":"2026-06-19T17:09:01Z","timestamp":1781888941300,"version":"3.54.5"},"reference-count":25,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/100011039","name":"Intelligence Advanced Research Projects Activity","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100011039","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Department of Interior National Business Center","award":["DllPC20l66"],"award-info":[{"award-number":["DllPC20l66"]}]},{"DOI":"10.13039\/100000001","name":"US National Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000038","name":"NSERC","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]},{"name":"MPrime"},{"DOI":"10.13039\/100007631","name":"CIFAR","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100007631","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000196","name":"CFI","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000196","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000023","name":"Government of Canada","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000023","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Province of Ontario"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Comput."],"published-print":{"date-parts":[[2016,1,1]]},"DOI":"10.1109\/tc.2015.2409842","type":"journal-article","created":{"date-parts":[[2015,3,9]],"date-time":"2015-03-09T18:46:48Z","timestamp":1425926808000},"page":"161-172","source":"Crossref","is-referenced-by-count":73,"title":["Practical Approximation of Single-Qubit Unitaries by Single-Qubit Quantum Clifford and T Circuits"],"prefix":"10.1109","volume":"65","author":[{"given":"Vadym","family":"Kliuchnikov","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dmitri","family":"Maslov","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michele","family":"Mosca","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref10","first-page":"81","volume":"6","author":"dawson","year":"2005","journal-title":"Quantum Inf Comput"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.88.042325"},{"key":"ref12","first-page":"867","volume":"11","author":"fowler","year":"2011","journal-title":"Quantum Inf Comput"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"52312","DOI":"10.1103\/PhysRevA.80.052312","volume":"80","author":"fowler","year":"0","journal-title":"Phys Rev A"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1146\/annurev-physchem-032210-103512","volume":"62","author":"kassal","year":"2011","journal-title":"Annual Review of Physical Chemistry"},{"key":"ref15","volume":"47","author":"kitaev","year":"2002","journal-title":"Classical and Quantum Computation"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"190502","DOI":"10.1103\/PhysRevLett.110.190502","volume":"110","author":"kliuchnikov","year":"2013","journal-title":"Phys Rev Lett"},{"key":"ref17","first-page":"607","volume":"13","author":"kliuchnikov","year":"2013","journal-title":"Quantum Inf Comput"},{"key":"ref18","author":"matsumoto","year":"2008"},{"key":"ref19","author":"nielsen","year":"2000","journal-title":"Quantum Computation and Quantum Information"},{"key":"ref4","first-page":"18","author":"jones","year":"2013"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"12313","DOI":"10.1103\/PhysRevA.88.012313","article-title":"Efficient decomposition of single-qubit gates into $V$ basis circuits","volume":"88","author":"bocharov","year":"2013","journal-title":"Phys Rev A"},{"key":"ref6","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02945-9","author":"cohen","year":"1993","journal-title":"A Course in Computational Algebraic Number Theory"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"115023","DOI":"10.1088\/1367-2630\/14\/11\/115023","volume":"14","author":"jones","year":"2012","journal-title":"New J Phys"},{"key":"ref8","author":"cohen","year":"2007","journal-title":"Number Theory Volume I Tools and Diophantine Equations"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8489-0"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"3457","DOI":"10.1103\/PhysRevA.52.3457","volume":"52","author":"barenco","year":"1995","journal-title":"Phys Rev A"},{"key":"ref9","author":"cohen","year":"1985"},{"key":"ref1","first-page":"97","author":"aliferis","year":"2006","journal-title":"Quantum Inf Comput"},{"key":"ref20","first-page":"24","author":"paetznick","year":"2013"},{"key":"ref22","author":"ross","year":"2014"},{"key":"ref21","author":"selinger","year":"2012"},{"key":"ref24","first-page":"6","author":"wecker","year":"2013"},{"key":"ref23","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1934-7","author":"washington","year":"1997","journal-title":"Introduction to Cyclotomic Fields"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"93041","DOI":"10.1088\/1367-2630\/15\/9\/093041","volume":"15","author":"wiebe","year":"2013","journal-title":"New J Phys"}],"container-title":["IEEE Transactions on Computers"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/12\/7350319\/7056491.pdf?arnumber=7056491","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T15:57:35Z","timestamp":1642003055000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7056491\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,1,1]]},"references-count":25,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tc.2015.2409842","relation":{},"ISSN":["0018-9340"],"issn-type":[{"value":"0018-9340","type":"print"}],"subject":[],"published":{"date-parts":[[2016,1,1]]}}}