{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T03:59:57Z","timestamp":1781755197465,"version":"3.54.5"},"publisher-location":"Cham","reference-count":12,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319022963","type":"print"},{"value":"9783319022970","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-319-02297-0_9","type":"book-chapter","created":{"date-parts":[[2013,8,14]],"date-time":"2013-08-14T07:37:38Z","timestamp":1376465858000},"page":"116-129","source":"Crossref","is-referenced-by-count":7,"title":["Simulation of Quantum Error Correction with Mathematica"],"prefix":"10.1007","author":[{"given":"Vladimir P.","family":"Gerdt","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexander N.","family":"Prokopenya","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"9_CR1","doi-asserted-by":"crossref","unstructured":"Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information, 10th ed., Cambridge University Press (2010)","DOI":"10.1017\/CBO9780511976667"},{"issue":"5","key":"9_CR2","doi-asserted-by":"publisher","first-page":"1484","DOI":"10.1137\/S0097539795293172","volume":"26","author":"P.W. Shor","year":"1997","unstructured":"Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comp.\u00a026(5), 1484\u20131509 (1997)","journal-title":"SIAM J. Comp."},{"key":"9_CR3","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1103\/PhysRevLett.79.325","volume":"79","author":"L.K. Grover","year":"1997","unstructured":"Grover, L.K.: Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett.\u00a079, 325\u2013328 (1997)","journal-title":"Phys. Rev. Lett."},{"key":"9_CR4","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1080\/00107519508222150","volume":"36","author":"S.J.D. Phoenix","year":"1995","unstructured":"Phoenix, S.J.D., Townsend, P.D.: Quantum cryptography: how to beat the code breakers using quantum mechanics. Contemp. Phys.\u00a036, 165\u2013195 (1995)","journal-title":"Contemp. Phys."},{"key":"9_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1007\/978-3-642-04103-7_11","volume-title":"Computer Algebra in Scientific Computing","author":"V.P. Gerdt","year":"2009","unstructured":"Gerdt, V.P., Kragler, R., Prokopenya, A.N.: A Mathematica package for simulation of quantum computation. In: Gerdt, V.P., Mayr, E.W., Vorozhtsov, E.V. (eds.) CASC 2009. LNCS, vol.\u00a05743, pp. 106\u2013117. Springer, Heidelberg (2009)"},{"issue":"2","key":"9_CR6","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1134\/S036176881002009X","volume":"36","author":"V.P. Gerdt","year":"2010","unstructured":"Gerdt, V.P., Prokopenya, A.N.: Some algorithms for calculating unitary matrices for quantum circuits. Programming and Computer Software\u00a036(2), 111\u2013116 (2010)","journal-title":"Programming and Computer Software"},{"key":"9_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1007\/978-3-642-28212-6_4","volume-title":"Mathematical Modeling and Computational Science","author":"V.P. Gerdt","year":"2012","unstructured":"Gerdt, V.P., Prokopenya, A.N.: The circuit model of quantum computation and its simulation with mathematica. In: Adam, G., Bu\u0161a, J., Hnati\u010d, M. (eds.) MMCP 2011. LNCS, vol.\u00a07125, pp. 43\u201355. Springer, Heidelberg (2012)"},{"issue":"3","key":"9_CR8","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1134\/S036176881303002X","volume":"39","author":"V.P. Gerdt","year":"2013","unstructured":"Gerdt, V.P., Prokopenya, A.N.: Simulation of quantum error correction by means of QuantumCircuit package. Programming and Computer Software\u00a039(3), 143\u2013149 (2013)","journal-title":"Programming and Computer Software"},{"key":"9_CR9","doi-asserted-by":"publisher","first-page":"2493","DOI":"10.1103\/PhysRevA.52.R2493","volume":"52","author":"P.W. Shor","year":"1995","unstructured":"Shor, P.W.: Scheme for reducing decoherence in quantum memory. Phys. Rev. A\u00a052, R2493\u2013R2496 (1995)","journal-title":"Phys. Rev. A"},{"key":"9_CR10","first-page":"181","volume-title":"Introduction to Quantum Computation and Information","author":"A.M. Steane","year":"1998","unstructured":"Steane, A.M.: Quantum error correction. In: Lo, H.-K., Popescu, S., Spiller, T. (eds.) Introduction to Quantum Computation and Information, pp. 181\u2013212. World Scientific, Singapore (1998)"},{"key":"9_CR11","doi-asserted-by":"crossref","unstructured":"Mermin, N.D.: Quantum Computer Science. An Introduction. Cambridge University Press (2007)","DOI":"10.1017\/CBO9780511813870"},{"key":"9_CR12","unstructured":"Preskill, J.: Lecture Notes for Physics 229: Quantum Information and Computation. California Institute of Technology (1998)"}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-02297-0_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T11:45:16Z","timestamp":1558007116000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-02297-0_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783319022963","9783319022970"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-02297-0_9","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}