{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T04:11:59Z","timestamp":1780978319007,"version":"3.54.1"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2009,5,30]],"date-time":"2009-05-30T00:00:00Z","timestamp":1243641600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/2.0"},{"start":{"date-parts":[[2009,5,30]],"date-time":"2009-05-30T00:00:00Z","timestamp":1243641600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/2.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Nat Comput"],"published-print":{"date-parts":[[2010,6]]},"DOI":"10.1007\/s11047-009-9133-0","type":"journal-article","created":{"date-parts":[[2009,5,29]],"date-time":"2009-05-29T07:40:41Z","timestamp":1243582841000},"page":"329-345","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Algorithms on ensemble quantum computers"],"prefix":"10.1007","volume":"9","author":[{"given":"P. Oscar","family":"Boykin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tal","family":"Mor","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vwani","family":"Roychowdhury","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Farrokh","family":"Vatan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2009,5,30]]},"reference":[{"key":"9133_CR21","doi-asserted-by":"crossref","unstructured":"Aharonov D, Ben-Or M (1996) Polynomial simulations of decohered quantum computers. In: Proceedings of the 37th annual symposium on foundations of computer science, FOCS\u201996. IEEE Computer Society Press, Los Alamitos, pp 46\u201355","DOI":"10.1109\/SFCS.1996.548463"},{"key":"9133_CR25","doi-asserted-by":"crossref","unstructured":"Aharonov D, Ben-Or M (1997) Fault tolerant quantum computation with constant error. In: Proceedings 29th annual ACM symposium on theory of computing, ACM, New York, pp 176\u2013188. Extended version: Quant-ph\/9906129","DOI":"10.1145\/258533.258579"},{"issue":"4\u20135","key":"9133_CR20","doi-asserted-by":"publisher","first-page":"493","DOI":"10.1002\/(SICI)1521-3978(199806)46:4\/5<493::AID-PROP493>3.0.CO;2-P","volume":"46","author":"B Boyer","year":"1998","unstructured":"Boyer B, Brassard G, Hoyer P, Tapp A (1998) Tight bounds on quantum searching. Fortschr Phys 46(4\u20135):493\u2013505","journal-title":"Fortschr Phys"},{"key":"9133_CR23","unstructured":"Boykin PO, Mor T, Pulver M, Roychowdhury VP, Vatan F (1999) On universal and fault\u2013tolerant quantum computation. In: Proceedings of the 40th annual symposium on foundations of computer science, pp 486\u2013494. Quant-ph\/9906054"},{"key":"9133_CR24","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/S0020-0190(00)00084-3","volume":"75","author":"PO Boykin","year":"2000","unstructured":"Boykin PO, Mor T, Pulver M, Roychowdhury VP, Vatan F (2000) A new universal and fault-tolerant quantum basis. Inf Process Lett 75:101\u2013107","journal-title":"Inf Process Lett"},{"issue":"6","key":"9133_CR9","doi-asserted-by":"publisher","first-page":"3388","DOI":"10.1073\/pnas.241641898","volume":"99","author":"PO Boykin","year":"2002","unstructured":"Boykin PO, Mor T, Roychowdhury VP, Vatan F, Vrijen R (2002) Algorithmic cooling and scalable NMR quantum computers. Proc Natl Acad Sci USA 99(6):3388\u20133393","journal-title":"Proc Natl Acad Sci USA"},{"key":"9133_CR26","doi-asserted-by":"crossref","unstructured":"Boykin PO, Mor T, Roychowdhury VP, Vatan F (2004) Fault tolerant computation on ensemble quantum computers. In: Proceedings of the 2004 international conference on dependable systems and networks (DSN\u201904), IEEE Computer Society Press, Los Alamitos, pp 157\u2013166","DOI":"10.1109\/DSN.2004.1311886"},{"issue":"1\u20132","key":"9133_CR16","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/S0167-2789(98)00043-8","volume":"120","author":"G Brassard","year":"1998","unstructured":"Brassard G, Braunstein SL, Cleve R (1998) Teleportation as a quantum computation. Phys D 120(1\u20132):43\u201347","journal-title":"Phys D"},{"key":"9133_CR3","doi-asserted-by":"publisher","first-page":"1634","DOI":"10.1073\/pnas.94.5.1634","volume":"94","author":"DG Cory","year":"1997","unstructured":"Cory DG, Fahmy AF, Havel TF (1997) Ensemble quantum computing by nuclear magnetic resonance spectroscopy. Proc Natl Acad Sci USA 94:1634\u20131639","journal-title":"Proc Natl Acad Sci USA"},{"key":"9133_CR5","doi-asserted-by":"publisher","first-page":"2152","DOI":"10.1103\/PhysRevLett.81.2152","volume":"81","author":"D Cory","year":"1998","unstructured":"Cory D, Price M, Mass W, Knill E, Laflamme R, Zurek W, Havel T, Somaroo S (1998) Experimental quantum error correction. Phys Rev Lett 81:2152\u20132155","journal-title":"Phys Rev Lett"},{"key":"9133_CR10","doi-asserted-by":"crossref","unstructured":"Elias Y, Fernandez JM, Mor T, Weinstein Y (2007)Optimal algorithmic cooling of spins. In: Proceedings of the 6th international conference on Unconventional Computation (UC\u20192007), Kingston, Canada. Lecture Notes in Computer Science (LNCS), vol 4618, Springer, Berlin, pp 2\u201326","DOI":"10.1007\/978-3-540-73554-0_2"},{"issue":"4","key":"9133_CR14","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1142\/S0219749904000419","volume":"2","author":"JM Fernandez","year":"2004","unstructured":"Fernandez JM, Lloyd S, Mor T, Roychowdhury VP (2004) Algorithmic cooling of spins: a practicable method for increasing polarization. Int J Quant Inf 2(4):461\u2013477","journal-title":"Int J Quant Inf"},{"issue":"5298","key":"9133_CR4","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1126\/science.275.5298.350","volume":"275","author":"N Gershenfeld","year":"1997","unstructured":"Gershenfeld N, Chuang IL (1997) Bulk spin-resonance quantum computation. Science 275(5298):350\u2013356","journal-title":"Science"},{"key":"9133_CR2","doi-asserted-by":"crossref","unstructured":"Grover LK (1996) A fast quantum mechanical algorithm for database search. In: Proceedings of the 28th annual ACM symposium on theory of computing, STOC\u201996. ACM Press, New York, pp 212\u2013219","DOI":"10.1145\/237814.237866"},{"key":"9133_CR6","doi-asserted-by":"publisher","first-page":"344","DOI":"10.1038\/30687","volume":"393","author":"JA Jones","year":"1998","unstructured":"Jones JA, Mosca M, Hansen RH (1998) Implementation of a quantum search algorithm on a quantum computer. Nature 393:344\u2013346","journal-title":"Nature"},{"issue":"6","key":"9133_CR22","doi-asserted-by":"publisher","first-page":"1191","DOI":"10.1070\/RM1997v052n06ABEH002155","volume":"52","author":"AY Kitaev","year":"1997","unstructured":"Kitaev AY (1997) Quantum computation: algorithms and error correction. Russ Math Surv 52(6):1191\u20131249","journal-title":"Russ Math Surv"},{"key":"9133_CR28","unstructured":"Knill E, Laflamme R, Zurek WH (1996) Accuracy threshold for quantum computation. Quant-ph\/9610011"},{"issue":"1969","key":"9133_CR18","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1098\/rspa.1998.0166","volume":"454","author":"E Knill","year":"1998","unstructured":"Knill E, Laflamme R, Zurek HW (1998) Resilient quantum computation: error models and threshold. Proc R Soc Lond A 454(1969):365\u2013384","journal-title":"Proc R Soc Lond A"},{"key":"9133_CR7","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1038\/23891","volume":"396","author":"MA Nielsen","year":"1998","unstructured":"Nielsen MA, Knill E, Laflamme R (1998) Complete quantum teleportation using nuclear magnetic resonance. Nature 396:52\u201355","journal-title":"Nature"},{"issue":"3\u20134","key":"9133_CR29","doi-asserted-by":"publisher","first-page":"373","DOI":"10.1006\/spmi.1997.0518","volume":"23","author":"A Peres","year":"1998","unstructured":"Peres A (1998) Quantum disentanglement and computation. Superlattices Microstruct 23(3\u20134):373\u2013379","journal-title":"Superlattices Microstruct"},{"issue":"1969","key":"9133_CR19","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1098\/rspa.1998.0167","volume":"454","author":"J Preskill","year":"1998","unstructured":"Preskill J (1998) Reliable quantum computers. Proc R Soc Lond A 454(1969):385\u2013410","journal-title":"Proc R Soc Lond A"},{"key":"9133_CR13","doi-asserted-by":"crossref","unstructured":"Schulman LJ, Vazirani U (1999) Molecular scale heat engines and scalable quantum computation. In: Proceedings of the 31st annual ACM symposium on theory of computing, STOC\u201999. IEEE Computer Society Press, Los Alamitos, pp 322\u2013329. Quant-ph\/9804060, 1998: Scalable NMR quantum computation","DOI":"10.1145\/301250.301332"},{"issue":"6","key":"9133_CR15","doi-asserted-by":"publisher","first-page":"1729","DOI":"10.1137\/050666023","volume":"36","author":"LJ Schulman","year":"2007","unstructured":"Schulman LJ, Mor T, Weinstein Y (2007) Physical limits of heat-bath algorithmic cooling. SIAM J Comput 36(6):1729\u20131747","journal-title":"SIAM J Comput"},{"key":"9133_CR17","doi-asserted-by":"crossref","unstructured":"Shor PW (1996) Fault-tolerant quantum computation. In: Proceedings of the 37th annual symposium on foundations of computer science, FOCS\u201996. IEEE Computer Society Press, Los Alamitos, pp 56\u201365","DOI":"10.1109\/SFCS.1996.548464"},{"issue":"5","key":"9133_CR1","doi-asserted-by":"publisher","first-page":"1484","DOI":"10.1137\/S0097539795293172","volume":"26","author":"PW Shor","year":"1997","unstructured":"Shor PW (1997) Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J Comput 26(5):1484\u20131509","journal-title":"SIAM J Comput"},{"key":"9133_CR8","doi-asserted-by":"publisher","first-page":"883","DOI":"10.1038\/414883a","volume":"414","author":"LMK Vandersypen","year":"2001","unstructured":"Vandersypen LMK, Steffen M, Breyta G, Yannoni CS, Sherwood MH, Chuang IL (2001) Experimental realization of Shor\u2019s quantum factoring algorithm using nuclear magnetic resonance. Nature 414:883\u2013887","journal-title":"Nature"},{"issue":"1","key":"9133_CR12","doi-asserted-by":"crossref","first-page":"012306","DOI":"10.1103\/PhysRevA.62.012306","volume":"62","author":"R Vrijen","year":"2000","unstructured":"Vrijen R, Yablonovitch E, Wang K, Jiang HW, Balandin A, Roychowdhury V, Mor T, DiVincenzo D (2000) Electron-spin-resonance transistors for quantum computing in silicon-germanium heterostructures. Phys Rev A 62(1):012306-1\u2013012306-10","journal-title":"Phys Rev A"}],"container-title":["Natural Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11047-009-9133-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11047-009-9133-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11047-009-9133-0.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11047-009-9133-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,31]],"date-time":"2021-08-31T20:24:13Z","timestamp":1630441453000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11047-009-9133-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,5,30]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2010,6]]}},"alternative-id":["9133"],"URL":"https:\/\/doi.org\/10.1007\/s11047-009-9133-0","relation":{},"ISSN":["1567-7818","1572-9796"],"issn-type":[{"value":"1567-7818","type":"print"},{"value":"1572-9796","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,5,30]]},"assertion":[{"value":"1 December 2007","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 July 2008","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 May 2009","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}