{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T18:54:54Z","timestamp":1782327294541,"version":"3.54.5"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"7457","license":[{"start":{"date-parts":[[2013,7,1]],"date-time":"2013-07-01T00:00:00Z","timestamp":1372636800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Nature"],"published-print":{"date-parts":[[2013,7]]},"DOI":"10.1038\/nature12290","type":"journal-article","created":{"date-parts":[[2013,7,9]],"date-time":"2013-07-09T15:12:50Z","timestamp":1373382770000},"page":"163-165","source":"Crossref","is-referenced-by-count":70,"title":["Oversimplifying quantum factoring"],"prefix":"10.1038","volume":"499","author":[{"given":"John A.","family":"Smolin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Graeme","family":"Smith","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexander","family":"Vargo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2013,7,10]]},"reference":[{"key":"BFnature12290_CR1","first-page":"124","volume-title":"Proc. 35th IEEE Symp. on the Foundations of Computer Science","author":"PW Shor","year":"1994","unstructured":"Shor, P. W. in Proc. 35th IEEE Symp. on the Foundations of Computer Science (FOCS) 124\u2013134 (IEEE Computer Society, 1994)"},{"key":"BFnature12290_CR2","first-page":"56","volume-title":"Proc. 37th IEEE Symp. on the Foundations of Computing","author":"PW Shor","year":"1996","unstructured":"Shor, P. W. in Proc. 37th IEEE Symp. on the Foundations of Computing (FOCS) 56\u201365 (IEEE Computer Society, 1996)"},{"key":"BFnature12290_CR3","first-page":"181","volume":"8","author":"P Aliferis","year":"2008","unstructured":"Aliferis, P., Gottesman, D. & Preskill, J. Accuracy threshold for postselected quantum computation. Quant. Inform. Comput. 8, 181\u2013244 (2008)","journal-title":"Quant. Inform. Comput."},{"key":"BFnature12290_CR4","doi-asserted-by":"publisher","first-page":"1516","DOI":"10.1103\/PhysRevD.24.1516","volume":"24","author":"WH Zurek","year":"1981","unstructured":"Zurek, W. H. Pointer basis of quantum apparatus: into what mixture does the wave packet collapse? Phys. Rev. D 24, 1516\u20131525 (1981)","journal-title":"Phys. Rev. D"},{"key":"BFnature12290_CR5","doi-asserted-by":"publisher","first-page":"883","DOI":"10.1038\/414883a","volume":"414","author":"LMK Vandersypen","year":"2001","unstructured":"Vandersypen, L. M. K. et al. Experimental realization of Shor\u2019s quantum factoring algorithm using nuclear magnetic resonance. Nature 414, 883\u2013887 (2001)","journal-title":"Nature"},{"key":"BFnature12290_CR6","doi-asserted-by":"publisher","first-page":"250505","DOI":"10.1103\/PhysRevLett.99.250505","volume":"99","author":"BP Lanyon","year":"2007","unstructured":"Lanyon, B. P. et al. Experimental demonstration of a compiled version of Shor\u2019s algorithm with quantum entanglement. Phys. Rev. Lett. 99, 250505 (2007)","journal-title":"Phys. Rev. Lett."},{"key":"BFnature12290_CR7","doi-asserted-by":"publisher","first-page":"250504","DOI":"10.1103\/PhysRevLett.99.250504","volume":"99","author":"C-Y Lu","year":"2007","unstructured":"Lu, C.-Y., Browne, D. E., Yang, T. & Pan, J.-W. Demonstration of a compiled version of Shor\u2019s quantum factoring algorithm using photonic qubits. Phys. Rev. Lett. 99, 250504 (2007)","journal-title":"Phys. Rev. Lett."},{"key":"BFnature12290_CR8","doi-asserted-by":"publisher","first-page":"1221","DOI":"10.1126\/science.1173731","volume":"325","author":"A Politi","year":"2009","unstructured":"Politi, A., Matthews, J. C. F. & O\u2019Brien, J. L. Shor\u2019s quantum factoring algorithm on a photonic chip. Science 325, 1221 (2009)","journal-title":"Science"},{"key":"BFnature12290_CR9","doi-asserted-by":"publisher","first-page":"773","DOI":"10.1038\/nphoton.2012.259","volume":"6","author":"E Mart\u00edn-L\u00f3pez","year":"2012","unstructured":"Mart\u00edn-L\u00f3pez, E., Laing, A., Lawson, T., Zhou, X.-Q. & O\u2019Brien, J. L. Experimental realization of Shor\u2019s quantum factoring algorithm using qubit recycling. Nature Photon. 6, 773\u2013776 (2012)","journal-title":"Nature Photon."},{"key":"BFnature12290_CR10","doi-asserted-by":"publisher","first-page":"719","DOI":"10.1038\/nphys2385","volume":"8","author":"E Lucero","year":"2012","unstructured":"Lucero, E. Computing prime factors with a Josephson phase qubit quantum processor. Nature Phys. 8, 719\u2013723 (2012)","journal-title":"Nature Phys."},{"key":"BFnature12290_CR11","first-page":"564","volume-title":"Proc. 22nd Annual ACM Symp. on Theory of Computing","author":"AK Lenstra","year":"1990","unstructured":"Lenstra, A. K., Lenstra, H. W., Jr, Manasse, M. S. & Pollard, J. M. in Proc. 22nd Annual ACM Symp. on Theory of Computing (STOC) 564\u2013572 (ACM Press, New York, 1990)"},{"key":"BFnature12290_CR12","unstructured":"Zalka, C. Shor\u2019s algorithm with fewer (pure) qubits. Preprint at \n                    http:\/\/arXiv.org\/abs\/quant-ph\/0601097\n                    \n                   (2006)"},{"key":"BFnature12290_CR13","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1007\/3-540-49208-9_15","volume-title":"Quantum Computing and Quantum Communications","author":"M Mosca","year":"1999","unstructured":"Mosca, M. & Ekert, A. in Quantum Computing and Quantum Communications (ed. Williams, C. P. ) 174\u2013188 (Vol. 1509, Lecture Notes in Computer Science, Springer, 1999)"},{"key":"BFnature12290_CR14","doi-asserted-by":"publisher","first-page":"3049","DOI":"10.1103\/PhysRevLett.85.3049","volume":"85","author":"S Parker","year":"2000","unstructured":"Parker, S. & Plenio, M. B. Efficient factorization with a single pure qubit and logN mixed qubits. Phys. Rev. Lett. 85, 3049\u20133052 (2000)","journal-title":"Phys. Rev. Lett."},{"key":"BFnature12290_CR15","doi-asserted-by":"publisher","first-page":"3228","DOI":"10.1103\/PhysRevLett.76.3228","volume":"76","author":"RB Griffiths","year":"1996","unstructured":"Griffiths, R. B. & Niu, C. S. Semiclassical Fourier transform for quantum computation. Phys. Rev. Lett. 76, 3228\u20133231 (1996)","journal-title":"Phys. Rev. Lett."},{"key":"BFnature12290_CR16","doi-asserted-by":"crossref","unstructured":"Zhou, Z. & Geller, M. R. Factoring 51 and 85 with 8 qubits. Preprint at \n                    http:\/\/arXiv.org\/abs\/1304.0128\n                    \n                   (2013)","DOI":"10.1038\/srep03023"},{"key":"BFnature12290_CR17","volume-title":"Fleeting Footsteps: Tracing the Conception of Arithmetic and Algebra in Ancient China","author":"S Zi","year":"2004","unstructured":"Zi, S. The mathematical classic of Sun Zi. In Yong, L.-L. & Se, A.-T. Fleeting Footsteps: Tracing the Conception of Arithmetic and Algebra in Ancient China (World Scientific, 2004)"},{"key":"BFnature12290_CR18","volume-title":"The Thirteen Books of Euclid's Elements","author":"T Heath","year":"1956","unstructured":"Heath, T. (ed) The Thirteen Books of Euclid's Elements (Dover, 1956)"}],"container-title":["Nature"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.nature.com\/articles\/nature12290.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/www.nature.com\/articles\/nature12290","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/www.nature.com\/articles\/nature12290.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,18]],"date-time":"2023-05-18T18:12:49Z","timestamp":1684433569000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.nature.com\/articles\/nature12290"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,7]]},"references-count":18,"journal-issue":{"issue":"7457","published-print":{"date-parts":[[2013,7]]}},"alternative-id":["BFnature12290"],"URL":"https:\/\/doi.org\/10.1038\/nature12290","relation":{},"ISSN":["0028-0836","1476-4687"],"issn-type":[{"value":"0028-0836","type":"print"},{"value":"1476-4687","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,7]]}}}