Quantum algorithm (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Quantum algorithm" in English language version.

refsWebsite

Global rank English rank

37arxiv.org

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59^th place

37doi.org

2^nd place

22semanticscholar.org

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18harvard.edu

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9nih.gov

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3worldcat.org

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2books.google.com

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2web.archive.org

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2ibm.com

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2scottaaronson.com

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1nature.com

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1science.org

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1handle.net

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1phys.org

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1sciencedirect.com

149^th place

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1ias.edu

7,948^th place

5,350^th place

1psu.edu

207^th place

136^th place

arxiv.org (Global: 69^th place; English: 59^th place)

Mosca, M. (2008). "Quantum Algorithms". arXiv:0808.0369 [quant-ph].
Farhi, Edward; Goldstone, Jeffrey; Gutmann, Sam (2008). "A Quantum Algorithm for the Hamiltonian NAND Tree". Theory of Computing. 4: 169–190. arXiv:quant-ph/0702144. doi:10.4086/toc.2008.v004a008.
Childs, Andrew M.; van Dam, W. (2010). "Quantum algorithms for algebraic problems". Reviews of Modern Physics. 82 (1): 1–52. arXiv:0812.0380. Bibcode:2010RvMP...82....1C. doi:10.1103/RevModPhys.82.1. S2CID 119261679.
Shor, P. W. (1997). "Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer". SIAM Journal on Scientific and Statistical Computing. 26 (5): 1484–1509. arXiv:quant-ph/9508027. Bibcode:1995quant.ph..8027S. doi:10.1137/s0097539795293172. S2CID 2337707.
Moore, C.; Russell, A.; Schulman, L. J. (2005). "The Symmetric Group Defies Strong Fourier Sampling: Part I". arXiv:quant-ph/0501056.
Regev, O. (2003). "Quantum Computation and Lattice Problems". arXiv:cs/0304005.
van Dam, W.; Seroussi, G. (2002). "Efficient Quantum Algorithms for Estimating Gauss Sums". arXiv:quant-ph/0207131.
Aaronson, S. (2009). "BQP and the Polynomial Hierarchy". arXiv:0910.4698 [quant-ph].
Grover, Lov K. (1996). "A fast quantum mechanical algorithm for database search". arXiv:quant-ph/9605043.
Brassard, G.; Hoyer, P.; Tapp, A. (1998). "Quantum counting". Automata, Languages and Programming. Lecture Notes in Computer Science. Vol. 1443. pp. 820–831. arXiv:quant-ph/9805082. doi:10.1007/BFb0055105. ISBN 978-3-540-64781-2. S2CID 14147978.
Brassard, G.; Hoyer, P.; Mosca, M.; Tapp, A. (2002). "Quantum Amplitude Amplification and Estimation". In Samuel J. Lomonaco, Jr. (ed.). Quantum Computation and Quantum Information. AMS Contemporary Mathematics. Vol. 305. pp. 53–74. arXiv:quant-ph/0005055. Bibcode:2000quant.ph..5055B. doi:10.1090/conm/305/05215. ISBN 978-0-8218-2140-4. S2CID 54753.
Childs, A. M.; Cleve, R.; Deotto, E.; Farhi, E.; Gutmann, S.; Spielman, D. A. (2003). "Exponential algorithmic speedup by quantum walk". Proceedings of the 35th Symposium on Theory of Computing. Association for Computing Machinery. pp. 59–68. arXiv:quant-ph/0209131. doi:10.1145/780542.780552. ISBN 1-58113-674-9.
Childs, A. M.; Schulman, L. J.; Vazirani, U. V. (2007). "Quantum Algorithms for Hidden Nonlinear Structures". Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science. IEEE. pp. 395–404. arXiv:0705.2784. doi:10.1109/FOCS.2007.18. ISBN 978-0-7695-3010-9.
Magniez, F.; Nayak, A.; Roland, J.; Santha, M. (2007). "Search via quantum walk". Proceedings of the 39th Annual ACM Symposium on Theory of Computing. Association for Computing Machinery. pp. 575–584. arXiv:quant-ph/0608026. doi:10.1145/1250790.1250874. ISBN 978-1-59593-631-8.
Peruzzo, Alberto; Lobino, Mirko; Matthews, Jonathan C. F.; Matsuda, Nobuyuki; Politi, Alberto; Poulios, Konstantinos; Zhou, Xiao-Qi; Lahini, Yoav; Ismail, Nur; Wörhoff, Kerstin; Bromberg, Yaron; Silberberg, Yaron; Thompson, Mark G.; OBrien, Jeremy L. (17 September 2010). "Quantum Walks of Correlated Photons". Science. 329 (5998): 1500–1503. arXiv:1006.4764. Bibcode:2010Sci...329.1500P. doi:10.1126/science.1193515. hdl:10072/53193. ISSN 0036-8075. PMID 20847264. S2CID 13896075.
Lund, A.P.; Laing, A.; Rahimi-Keshari, S.; Rudolph, T.; O'Brien, J.L.; Ralph, T.C. (5 September 2014). "Boson Sampling from Gaussian States". Phys. Rev. Lett. 113 (10) 100502. arXiv:1305.4346. Bibcode:2014PhRvL.113j0502L. doi:10.1103/PhysRevLett.113.100502. PMID 25238340. S2CID 27742471.
Seshadreesan, Kaushik P.; Olson, Jonathan P.; Motes, Keith R.; Rohde, Peter P.; Dowling, Jonathan P. (2015). "Boson sampling with displaced single-photon Fock states versus single-photon-added coherent states: The quantum-classical divide and computational-complexity transitions in linear optics". Physical Review A. 91 (2) 022334. arXiv:1402.0531. Bibcode:2015PhRvA..91b2334S. doi:10.1103/PhysRevA.91.022334. S2CID 55455992.
Ambainis, A. (2007). "Quantum Walk Algorithm for Element Distinctness". SIAM Journal on Computing. 37 (1): 210–239. arXiv:quant-ph/0311001. doi:10.1137/S0097539705447311. S2CID 6581885.
Shi, Y. (2002). "Quantum lower bounds for the collision and the element distinctness problems". The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings. Proceedings of the 43rd Symposium on Foundations of Computer Science. pp. 513–519. arXiv:quant-ph/0112086. doi:10.1109/SFCS.2002.1181975. ISBN 0-7695-1822-2.
Le Gall, François (October 2014), "Improved quantum algorithm for triangle finding via combinatorial arguments", Proceedings of the 55th Annual Symposium on Foundations of Computer Science (FOCS 2014), IEEE, pp. 216–225, arXiv:1407.0085, doi:10.1109/focs.2014.31, ISBN 978-1-4799-6517-5, S2CID 5760574
Magniez, F.; Santha, M.; Szegedy, M. (2007). "Quantum Algorithms for the Triangle Problem". SIAM Journal on Computing. 37 (2): 413–424. arXiv:quant-ph/0310134. doi:10.1137/050643684. S2CID 594494.
Ambainis, A. (2007). "A nearly optimal discrete query quantum algorithm for evaluating NAND formulas". arXiv:0704.3628 [quant-ph].
Reichardt, B. W.; Spalek, R. (2008). "Span-program-based quantum algorithm for evaluating formulas". Proceedings of the 40th Annual ACM symposium on Theory of Computing. Association for Computing Machinery. pp. 103–112. arXiv:0710.2630. doi:10.1145/1374376.1374394. ISBN 978-1-60558-047-0.
Magniez, F.; Nayak, A. (2007). "Quantum Complexity of Testing Group Commutativity". Algorithmica. 48 (3): 221–232. arXiv:quant-ph/0506265. doi:10.1007/s00453-007-0057-8. S2CID 3163328.
Aharonov, D.; Jones, V.; Landau, Z. (2006). "A polynomial quantum algorithm for approximating the Jones polynomial". Proceedings of the 38th Annual ACM symposium on Theory of Computing. Association for Computing Machinery. pp. 427–436. arXiv:quant-ph/0511096. doi:10.1145/1132516.1132579. ISBN 1-59593-134-1.
Abrams, D. S.; Lloyd, S. (1997). "Simulation of many-body Fermi systems on a universal quantum computer". Physical Review Letters. 79 (13): 2586–2589. arXiv:quant-ph/9703054. Bibcode:1997PhRvL..79.2586A. doi:10.1103/PhysRevLett.79.2586. S2CID 18231521.
Kassal, I.; Jordan, S. P.; Love, P. J.; Mohseni, M.; Aspuru-Guzik, A. (2008). "Polynomial-time quantum algorithm for the simulation of chemical dynamics". Proceedings of the National Academy of Sciences of the United States of America. 105 (48): 18681–86. arXiv:0801.2986. Bibcode:2008PNAS..10518681K. doi:10.1073/pnas.0808245105. PMC 2596249. PMID 19033207.
Freedman, M.; Kitaev, A.; Wang, Z. (2002). "Simulation of Topological Field Theories by Quantum Computers". Communications in Mathematical Physics. 227 (3): 587–603. arXiv:quant-ph/0001071. Bibcode:2002CMaPh.227..587F. doi:10.1007/s002200200635. S2CID 449219.
Aharonov, D.; Jones, V.; Landau, Z. (2009). "A polynomial quantum algorithm for approximating the Jones polynomial". Algorithmica. 55 (3): 395–421. arXiv:quant-ph/0511096. doi:10.1007/s00453-008-9168-0. S2CID 7058660.
Wocjan, P.; Yard, J. (2008). "The Jones polynomial: quantum algorithms and applications in quantum complexity theory". Quantum Information and Computation. 8 (1): 147–180. arXiv:quant-ph/0603069. Bibcode:2006quant.ph..3069W. doi:10.26421/QIC8.1-2-10. S2CID 14494227.
Alagic, G.; Jordan, S.P.; König, R.; Reichardt, B. W. (2010). "Approximating Turaev-Viro 3-manifold invariants is universal for quantum computation". Physical Review A. 82 (4) 040302. arXiv:1003.0923. Bibcode:2010PhRvA..82d0302A. doi:10.1103/PhysRevA.82.040302. S2CID 28281402.
Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for solving linear systems of equations". Physical Review Letters. 103 (15) 150502. arXiv:0811.3171. Bibcode:2009PhRvL.103o0502H. doi:10.1103/PhysRevLett.103.150502. PMID 19905613. S2CID 5187993.
Moll, Nikolaj; Barkoutsos, Panagiotis; Bishop, Lev S.; Chow, Jerry M.; Cross, Andrew; Egger, Daniel J.; Filipp, Stefan; Fuhrer, Andreas; Gambetta, Jay M.; Ganzhorn, Marc; Kandala, Abhinav; Mezzacapo, Antonio; Müller, Peter; Riess, Walter; Salis, Gian; Smolin, John; Tavernelli, Ivano; Temme, Kristan (2018). "Quantum optimization using variational algorithms on near-term quantum devices". Quantum Science and Technology. 3 (3): 030503. arXiv:1710.01022. Bibcode:2018QS&T....3c0503M. doi:10.1088/2058-9565/aab822. S2CID 56376912.
Farhi, Edward; Goldstone, Jeffrey; Gutmann, Sam (14 November 2014). "A Quantum Approximate Optimization Algorithm". arXiv:1411.4028 [quant-ph].
Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter; Yung, Man-Hong; Zhou, Xiao-Qi; Love, Peter J.; Aspuru-Guzik, Alán; O'Brien, Jeremy L. (23 July 2014). "A variational eigenvalue solver on a photonic quantum processor". Nature Communications. 5 (1): 4213. arXiv:1304.3061. Bibcode:2014NatCo...5.4213P. doi:10.1038/ncomms5213. ISSN 2041-1723. PMC 4124861. PMID 25055053.
Higgott, Oscar; Wang, Daochen; Brierley, Stephen (2019). "Variational Quantum Computation of Excited States". Quantum. 3 156. arXiv:1805.08138. Bibcode:2019Quant...3..156H. doi:10.22331/q-2019-07-01-156. S2CID 119185497.
Smart, Scott; Mazziotti, David (18 February 2021). "Quantum Solver of Contracted Eigenvalue Equations for Scalable Molecular Simulations on Quantum Computing Devices". Phys. Rev. Lett. 125 (7) 070504. arXiv:2004.11416. Bibcode:2021PhRvL.126g0504S. doi:10.1103/PhysRevLett.126.070504. PMID 33666467. S2CID 216144443.

books.google.com (Global: 3^rd place; English: 3^rd place)

Lanzagorta, Marco; Uhlmann, Jeffrey K. (1 January 2009). Quantum Computer Science. Morgan & Claypool Publishers. ISBN 978-1-59829-732-4.
Nielsen, Michael A.; Chuang, Isaac L. (2010). Quantum Computation and Quantum Information (2nd ed.). Cambridge: Cambridge University Press. ISBN 978-1-107-00217-3.

doi.org (Global: 2^nd place; English: 2^nd place)

Farhi, Edward; Goldstone, Jeffrey; Gutmann, Sam (2008). "A Quantum Algorithm for the Hamiltonian NAND Tree". Theory of Computing. 4: 169–190. arXiv:quant-ph/0702144. doi:10.4086/toc.2008.v004a008.
Childs, Andrew M.; van Dam, W. (2010). "Quantum algorithms for algebraic problems". Reviews of Modern Physics. 82 (1): 1–52. arXiv:0812.0380. Bibcode:2010RvMP...82....1C. doi:10.1103/RevModPhys.82.1. S2CID 119261679.
Shor, P. W. (1997). "Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer". SIAM Journal on Scientific and Statistical Computing. 26 (5): 1484–1509. arXiv:quant-ph/9508027. Bibcode:1995quant.ph..8027S. doi:10.1137/s0097539795293172. S2CID 2337707.
Brassard, G.; Hoyer, P.; Tapp, A. (1998). "Quantum counting". Automata, Languages and Programming. Lecture Notes in Computer Science. Vol. 1443. pp. 820–831. arXiv:quant-ph/9805082. doi:10.1007/BFb0055105. ISBN 978-3-540-64781-2. S2CID 14147978.
Brassard, G.; Hoyer, P.; Mosca, M.; Tapp, A. (2002). "Quantum Amplitude Amplification and Estimation". In Samuel J. Lomonaco, Jr. (ed.). Quantum Computation and Quantum Information. AMS Contemporary Mathematics. Vol. 305. pp. 53–74. arXiv:quant-ph/0005055. Bibcode:2000quant.ph..5055B. doi:10.1090/conm/305/05215. ISBN 978-0-8218-2140-4. S2CID 54753.
Childs, A. M.; Cleve, R.; Deotto, E.; Farhi, E.; Gutmann, S.; Spielman, D. A. (2003). "Exponential algorithmic speedup by quantum walk". Proceedings of the 35th Symposium on Theory of Computing. Association for Computing Machinery. pp. 59–68. arXiv:quant-ph/0209131. doi:10.1145/780542.780552. ISBN 1-58113-674-9.
Childs, A. M.; Schulman, L. J.; Vazirani, U. V. (2007). "Quantum Algorithms for Hidden Nonlinear Structures". Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science. IEEE. pp. 395–404. arXiv:0705.2784. doi:10.1109/FOCS.2007.18. ISBN 978-0-7695-3010-9.
Magniez, F.; Nayak, A.; Roland, J.; Santha, M. (2007). "Search via quantum walk". Proceedings of the 39th Annual ACM Symposium on Theory of Computing. Association for Computing Machinery. pp. 575–584. arXiv:quant-ph/0608026. doi:10.1145/1250790.1250874. ISBN 978-1-59593-631-8.
Ralph, T.C. (July 2013). "Figure 1: The boson-sampling problem". Nature Photonics. 7 (7). Nature: 514–515. doi:10.1038/nphoton.2013.175. S2CID 110342419. Retrieved 12 September 2014.
Peruzzo, Alberto; Lobino, Mirko; Matthews, Jonathan C. F.; Matsuda, Nobuyuki; Politi, Alberto; Poulios, Konstantinos; Zhou, Xiao-Qi; Lahini, Yoav; Ismail, Nur; Wörhoff, Kerstin; Bromberg, Yaron; Silberberg, Yaron; Thompson, Mark G.; OBrien, Jeremy L. (17 September 2010). "Quantum Walks of Correlated Photons". Science. 329 (5998): 1500–1503. arXiv:1006.4764. Bibcode:2010Sci...329.1500P. doi:10.1126/science.1193515. hdl:10072/53193. ISSN 0036-8075. PMID 20847264. S2CID 13896075.
Lund, A.P.; Laing, A.; Rahimi-Keshari, S.; Rudolph, T.; O'Brien, J.L.; Ralph, T.C. (5 September 2014). "Boson Sampling from Gaussian States". Phys. Rev. Lett. 113 (10) 100502. arXiv:1305.4346. Bibcode:2014PhRvL.113j0502L. doi:10.1103/PhysRevLett.113.100502. PMID 25238340. S2CID 27742471.
Seshadreesan, Kaushik P.; Olson, Jonathan P.; Motes, Keith R.; Rohde, Peter P.; Dowling, Jonathan P. (2015). "Boson sampling with displaced single-photon Fock states versus single-photon-added coherent states: The quantum-classical divide and computational-complexity transitions in linear optics". Physical Review A. 91 (2) 022334. arXiv:1402.0531. Bibcode:2015PhRvA..91b2334S. doi:10.1103/PhysRevA.91.022334. S2CID 55455992.
Ambainis, A. (2007). "Quantum Walk Algorithm for Element Distinctness". SIAM Journal on Computing. 37 (1): 210–239. arXiv:quant-ph/0311001. doi:10.1137/S0097539705447311. S2CID 6581885.
Shi, Y. (2002). "Quantum lower bounds for the collision and the element distinctness problems". The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings. Proceedings of the 43rd Symposium on Foundations of Computer Science. pp. 513–519. arXiv:quant-ph/0112086. doi:10.1109/SFCS.2002.1181975. ISBN 0-7695-1822-2.
Ambainis, A. (2005). "Polynomial Degree and Lower Bounds in Quantum Complexity: Collision and Element Distinctness with Small Range". Theory of Computing. 1 (1): 37–46. doi:10.4086/toc.2005.v001a003.
Kutin, S. (2005). "Quantum Lower Bound for the Collision Problem with Small Range". Theory of Computing. 1 (1): 29–36. doi:10.4086/toc.2005.v001a002.
Li, Guanzhong; Li, Lvzhou (May 2025). "Derandomization of quantum algorithm for triangle finding". Information and Computation. 304 105295. doi:10.1016/j.ic.2025.105295. ISSN 0890-5401.
Le Gall, François (October 2014), "Improved quantum algorithm for triangle finding via combinatorial arguments", Proceedings of the 55th Annual Symposium on Foundations of Computer Science (FOCS 2014), IEEE, pp. 216–225, arXiv:1407.0085, doi:10.1109/focs.2014.31, ISBN 978-1-4799-6517-5, S2CID 5760574
Magniez, F.; Santha, M.; Szegedy, M. (2007). "Quantum Algorithms for the Triangle Problem". SIAM Journal on Computing. 37 (2): 413–424. arXiv:quant-ph/0310134. doi:10.1137/050643684. S2CID 594494.
Saks, M.E.; Wigderson, A. (1986). "Probabilistic Boolean Decision Trees and the Complexity of Evaluating Game Trees" (PDF). Proceedings of the 27th Annual Symposium on Foundations of Computer Science. IEEE. pp. 29–38. doi:10.1109/SFCS.1986.44. ISBN 0-8186-0740-8.
Reichardt, B. W.; Spalek, R. (2008). "Span-program-based quantum algorithm for evaluating formulas". Proceedings of the 40th Annual ACM symposium on Theory of Computing. Association for Computing Machinery. pp. 103–112. arXiv:0710.2630. doi:10.1145/1374376.1374394. ISBN 978-1-60558-047-0.
Pak, Igor (2012). "Testing commutativity of a group and the power of randomization". LMS Journal of Computation and Mathematics. 15: 38–43. doi:10.1112/S1461157012000046.
Magniez, F.; Nayak, A. (2007). "Quantum Complexity of Testing Group Commutativity". Algorithmica. 48 (3): 221–232. arXiv:quant-ph/0506265. doi:10.1007/s00453-007-0057-8. S2CID 3163328.
Aharonov, D.; Jones, V.; Landau, Z. (2006). "A polynomial quantum algorithm for approximating the Jones polynomial". Proceedings of the 38th Annual ACM symposium on Theory of Computing. Association for Computing Machinery. pp. 427–436. arXiv:quant-ph/0511096. doi:10.1145/1132516.1132579. ISBN 1-59593-134-1.
Feynman, R. P. (1982). "Simulating physics with computers". International Journal of Theoretical Physics. 21 (6–7): 467–488. Bibcode:1982IJTP...21..467F. CiteSeerX 10.1.1.45.9310. doi:10.1007/BF02650179. S2CID 124545445.
Abrams, D. S.; Lloyd, S. (1997). "Simulation of many-body Fermi systems on a universal quantum computer". Physical Review Letters. 79 (13): 2586–2589. arXiv:quant-ph/9703054. Bibcode:1997PhRvL..79.2586A. doi:10.1103/PhysRevLett.79.2586. S2CID 18231521.
Kassal, I.; Jordan, S. P.; Love, P. J.; Mohseni, M.; Aspuru-Guzik, A. (2008). "Polynomial-time quantum algorithm for the simulation of chemical dynamics". Proceedings of the National Academy of Sciences of the United States of America. 105 (48): 18681–86. arXiv:0801.2986. Bibcode:2008PNAS..10518681K. doi:10.1073/pnas.0808245105. PMC 2596249. PMID 19033207.
Freedman, M.; Kitaev, A.; Wang, Z. (2002). "Simulation of Topological Field Theories by Quantum Computers". Communications in Mathematical Physics. 227 (3): 587–603. arXiv:quant-ph/0001071. Bibcode:2002CMaPh.227..587F. doi:10.1007/s002200200635. S2CID 449219.
Aharonov, D.; Jones, V.; Landau, Z. (2009). "A polynomial quantum algorithm for approximating the Jones polynomial". Algorithmica. 55 (3): 395–421. arXiv:quant-ph/0511096. doi:10.1007/s00453-008-9168-0. S2CID 7058660.
Wocjan, P.; Yard, J. (2008). "The Jones polynomial: quantum algorithms and applications in quantum complexity theory". Quantum Information and Computation. 8 (1): 147–180. arXiv:quant-ph/0603069. Bibcode:2006quant.ph..3069W. doi:10.26421/QIC8.1-2-10. S2CID 14494227.
Alagic, G.; Jordan, S.P.; König, R.; Reichardt, B. W. (2010). "Approximating Turaev-Viro 3-manifold invariants is universal for quantum computation". Physical Review A. 82 (4) 040302. arXiv:1003.0923. Bibcode:2010PhRvA..82d0302A. doi:10.1103/PhysRevA.82.040302. S2CID 28281402.
Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for solving linear systems of equations". Physical Review Letters. 103 (15) 150502. arXiv:0811.3171. Bibcode:2009PhRvL.103o0502H. doi:10.1103/PhysRevLett.103.150502. PMID 19905613. S2CID 5187993.
Moll, Nikolaj; Barkoutsos, Panagiotis; Bishop, Lev S.; Chow, Jerry M.; Cross, Andrew; Egger, Daniel J.; Filipp, Stefan; Fuhrer, Andreas; Gambetta, Jay M.; Ganzhorn, Marc; Kandala, Abhinav; Mezzacapo, Antonio; Müller, Peter; Riess, Walter; Salis, Gian; Smolin, John; Tavernelli, Ivano; Temme, Kristan (2018). "Quantum optimization using variational algorithms on near-term quantum devices". Quantum Science and Technology. 3 (3): 030503. arXiv:1710.01022. Bibcode:2018QS&T....3c0503M. doi:10.1088/2058-9565/aab822. S2CID 56376912.
Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter; Yung, Man-Hong; Zhou, Xiao-Qi; Love, Peter J.; Aspuru-Guzik, Alán; O'Brien, Jeremy L. (23 July 2014). "A variational eigenvalue solver on a photonic quantum processor". Nature Communications. 5 (1): 4213. arXiv:1304.3061. Bibcode:2014NatCo...5.4213P. doi:10.1038/ncomms5213. ISSN 2041-1723. PMC 4124861. PMID 25055053.
Higgott, Oscar; Wang, Daochen; Brierley, Stephen (2019). "Variational Quantum Computation of Excited States". Quantum. 3 156. arXiv:1805.08138. Bibcode:2019Quant...3..156H. doi:10.22331/q-2019-07-01-156. S2CID 119185497.
Smart, Scott; Mazziotti, David (18 February 2021). "Quantum Solver of Contracted Eigenvalue Equations for Scalable Molecular Simulations on Quantum Computing Devices". Phys. Rev. Lett. 125 (7) 070504. arXiv:2004.11416. Bibcode:2021PhRvL.126g0504S. doi:10.1103/PhysRevLett.126.070504. PMID 33666467. S2CID 216144443.
Mazziotti, David (6 October 2006). "Anti-Hermitian Contracted Schrödinger Equation: Direct Determination of the Two-Electron Reduced Density Matrices of Many-Electron Molecules". Phys. Rev. Lett. 97 (14) 143002. Bibcode:2006PhRvL..97n3002M. doi:10.1103/PhysRevLett.97.143002. PMID 17155245.

handle.net (Global: 102^nd place; English: 76^th place)

hdl.handle.net

Peruzzo, Alberto; Lobino, Mirko; Matthews, Jonathan C. F.; Matsuda, Nobuyuki; Politi, Alberto; Poulios, Konstantinos; Zhou, Xiao-Qi; Lahini, Yoav; Ismail, Nur; Wörhoff, Kerstin; Bromberg, Yaron; Silberberg, Yaron; Thompson, Mark G.; OBrien, Jeremy L. (17 September 2010). "Quantum Walks of Correlated Photons". Science. 329 (5998): 1500–1503. arXiv:1006.4764. Bibcode:2010Sci...329.1500P. doi:10.1126/science.1193515. hdl:10072/53193. ISSN 0036-8075. PMID 20847264. S2CID 13896075.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Childs, Andrew M.; van Dam, W. (2010). "Quantum algorithms for algebraic problems". Reviews of Modern Physics. 82 (1): 1–52. arXiv:0812.0380. Bibcode:2010RvMP...82....1C. doi:10.1103/RevModPhys.82.1. S2CID 119261679.
Shor, P. W. (1997). "Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer". SIAM Journal on Scientific and Statistical Computing. 26 (5): 1484–1509. arXiv:quant-ph/9508027. Bibcode:1995quant.ph..8027S. doi:10.1137/s0097539795293172. S2CID 2337707.
Brassard, G.; Hoyer, P.; Mosca, M.; Tapp, A. (2002). "Quantum Amplitude Amplification and Estimation". In Samuel J. Lomonaco, Jr. (ed.). Quantum Computation and Quantum Information. AMS Contemporary Mathematics. Vol. 305. pp. 53–74. arXiv:quant-ph/0005055. Bibcode:2000quant.ph..5055B. doi:10.1090/conm/305/05215. ISBN 978-0-8218-2140-4. S2CID 54753.
Peruzzo, Alberto; Lobino, Mirko; Matthews, Jonathan C. F.; Matsuda, Nobuyuki; Politi, Alberto; Poulios, Konstantinos; Zhou, Xiao-Qi; Lahini, Yoav; Ismail, Nur; Wörhoff, Kerstin; Bromberg, Yaron; Silberberg, Yaron; Thompson, Mark G.; OBrien, Jeremy L. (17 September 2010). "Quantum Walks of Correlated Photons". Science. 329 (5998): 1500–1503. arXiv:1006.4764. Bibcode:2010Sci...329.1500P. doi:10.1126/science.1193515. hdl:10072/53193. ISSN 0036-8075. PMID 20847264. S2CID 13896075.
Lund, A.P.; Laing, A.; Rahimi-Keshari, S.; Rudolph, T.; O'Brien, J.L.; Ralph, T.C. (5 September 2014). "Boson Sampling from Gaussian States". Phys. Rev. Lett. 113 (10) 100502. arXiv:1305.4346. Bibcode:2014PhRvL.113j0502L. doi:10.1103/PhysRevLett.113.100502. PMID 25238340. S2CID 27742471.
Seshadreesan, Kaushik P.; Olson, Jonathan P.; Motes, Keith R.; Rohde, Peter P.; Dowling, Jonathan P. (2015). "Boson sampling with displaced single-photon Fock states versus single-photon-added coherent states: The quantum-classical divide and computational-complexity transitions in linear optics". Physical Review A. 91 (2) 022334. arXiv:1402.0531. Bibcode:2015PhRvA..91b2334S. doi:10.1103/PhysRevA.91.022334. S2CID 55455992.
Feynman, R. P. (1982). "Simulating physics with computers". International Journal of Theoretical Physics. 21 (6–7): 467–488. Bibcode:1982IJTP...21..467F. CiteSeerX 10.1.1.45.9310. doi:10.1007/BF02650179. S2CID 124545445.
Abrams, D. S.; Lloyd, S. (1997). "Simulation of many-body Fermi systems on a universal quantum computer". Physical Review Letters. 79 (13): 2586–2589. arXiv:quant-ph/9703054. Bibcode:1997PhRvL..79.2586A. doi:10.1103/PhysRevLett.79.2586. S2CID 18231521.
Kassal, I.; Jordan, S. P.; Love, P. J.; Mohseni, M.; Aspuru-Guzik, A. (2008). "Polynomial-time quantum algorithm for the simulation of chemical dynamics". Proceedings of the National Academy of Sciences of the United States of America. 105 (48): 18681–86. arXiv:0801.2986. Bibcode:2008PNAS..10518681K. doi:10.1073/pnas.0808245105. PMC 2596249. PMID 19033207.
Freedman, M.; Kitaev, A.; Wang, Z. (2002). "Simulation of Topological Field Theories by Quantum Computers". Communications in Mathematical Physics. 227 (3): 587–603. arXiv:quant-ph/0001071. Bibcode:2002CMaPh.227..587F. doi:10.1007/s002200200635. S2CID 449219.
Wocjan, P.; Yard, J. (2008). "The Jones polynomial: quantum algorithms and applications in quantum complexity theory". Quantum Information and Computation. 8 (1): 147–180. arXiv:quant-ph/0603069. Bibcode:2006quant.ph..3069W. doi:10.26421/QIC8.1-2-10. S2CID 14494227.
Alagic, G.; Jordan, S.P.; König, R.; Reichardt, B. W. (2010). "Approximating Turaev-Viro 3-manifold invariants is universal for quantum computation". Physical Review A. 82 (4) 040302. arXiv:1003.0923. Bibcode:2010PhRvA..82d0302A. doi:10.1103/PhysRevA.82.040302. S2CID 28281402.
Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for solving linear systems of equations". Physical Review Letters. 103 (15) 150502. arXiv:0811.3171. Bibcode:2009PhRvL.103o0502H. doi:10.1103/PhysRevLett.103.150502. PMID 19905613. S2CID 5187993.
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Higgott, Oscar; Wang, Daochen; Brierley, Stephen (2019). "Variational Quantum Computation of Excited States". Quantum. 3 156. arXiv:1805.08138. Bibcode:2019Quant...3..156H. doi:10.22331/q-2019-07-01-156. S2CID 119185497.
Smart, Scott; Mazziotti, David (18 February 2021). "Quantum Solver of Contracted Eigenvalue Equations for Scalable Molecular Simulations on Quantum Computing Devices". Phys. Rev. Lett. 125 (7) 070504. arXiv:2004.11416. Bibcode:2021PhRvL.126g0504S. doi:10.1103/PhysRevLett.126.070504. PMID 33666467. S2CID 216144443.
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ias.edu (Global: 7,948^th place; English: 5,350^th place)

math.ias.edu

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ibm.com (Global: 1,131^st place; English: 850^th place)

quantum-computing.ibm.com

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nature.com (Global: 234^th place; English: 397^th place)

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nih.gov (Global: 4^th place; English: 4^th place)

pubmed.ncbi.nlm.nih.gov

Peruzzo, Alberto; Lobino, Mirko; Matthews, Jonathan C. F.; Matsuda, Nobuyuki; Politi, Alberto; Poulios, Konstantinos; Zhou, Xiao-Qi; Lahini, Yoav; Ismail, Nur; Wörhoff, Kerstin; Bromberg, Yaron; Silberberg, Yaron; Thompson, Mark G.; OBrien, Jeremy L. (17 September 2010). "Quantum Walks of Correlated Photons". Science. 329 (5998): 1500–1503. arXiv:1006.4764. Bibcode:2010Sci...329.1500P. doi:10.1126/science.1193515. hdl:10072/53193. ISSN 0036-8075. PMID 20847264. S2CID 13896075.
Lund, A.P.; Laing, A.; Rahimi-Keshari, S.; Rudolph, T.; O'Brien, J.L.; Ralph, T.C. (5 September 2014). "Boson Sampling from Gaussian States". Phys. Rev. Lett. 113 (10) 100502. arXiv:1305.4346. Bibcode:2014PhRvL.113j0502L. doi:10.1103/PhysRevLett.113.100502. PMID 25238340. S2CID 27742471.
Kassal, I.; Jordan, S. P.; Love, P. J.; Mohseni, M.; Aspuru-Guzik, A. (2008). "Polynomial-time quantum algorithm for the simulation of chemical dynamics". Proceedings of the National Academy of Sciences of the United States of America. 105 (48): 18681–86. arXiv:0801.2986. Bibcode:2008PNAS..10518681K. doi:10.1073/pnas.0808245105. PMC 2596249. PMID 19033207.
Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for solving linear systems of equations". Physical Review Letters. 103 (15) 150502. arXiv:0811.3171. Bibcode:2009PhRvL.103o0502H. doi:10.1103/PhysRevLett.103.150502. PMID 19905613. S2CID 5187993.
Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter; Yung, Man-Hong; Zhou, Xiao-Qi; Love, Peter J.; Aspuru-Guzik, Alán; O'Brien, Jeremy L. (23 July 2014). "A variational eigenvalue solver on a photonic quantum processor". Nature Communications. 5 (1): 4213. arXiv:1304.3061. Bibcode:2014NatCo...5.4213P. doi:10.1038/ncomms5213. ISSN 2041-1723. PMC 4124861. PMID 25055053.
Smart, Scott; Mazziotti, David (18 February 2021). "Quantum Solver of Contracted Eigenvalue Equations for Scalable Molecular Simulations on Quantum Computing Devices". Phys. Rev. Lett. 125 (7) 070504. arXiv:2004.11416. Bibcode:2021PhRvL.126g0504S. doi:10.1103/PhysRevLett.126.070504. PMID 33666467. S2CID 216144443.
Mazziotti, David (6 October 2006). "Anti-Hermitian Contracted Schrödinger Equation: Direct Determination of the Two-Electron Reduced Density Matrices of Many-Electron Molecules". Phys. Rev. Lett. 97 (14) 143002. Bibcode:2006PhRvL..97n3002M. doi:10.1103/PhysRevLett.97.143002. PMID 17155245.

ncbi.nlm.nih.gov

Kassal, I.; Jordan, S. P.; Love, P. J.; Mohseni, M.; Aspuru-Guzik, A. (2008). "Polynomial-time quantum algorithm for the simulation of chemical dynamics". Proceedings of the National Academy of Sciences of the United States of America. 105 (48): 18681–86. arXiv:0801.2986. Bibcode:2008PNAS..10518681K. doi:10.1073/pnas.0808245105. PMC 2596249. PMID 19033207.
Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter; Yung, Man-Hong; Zhou, Xiao-Qi; Love, Peter J.; Aspuru-Guzik, Alán; O'Brien, Jeremy L. (23 July 2014). "A variational eigenvalue solver on a photonic quantum processor". Nature Communications. 5 (1): 4213. arXiv:1304.3061. Bibcode:2014NatCo...5.4213P. doi:10.1038/ncomms5213. ISSN 2041-1723. PMC 4124861. PMID 25055053.

phys.org (Global: 1,283^rd place; English: 1,130^th place)

"The quantum revolution is a step closer". Phys.org. Omicron Technology Limited. Retrieved 12 September 2014.

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

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science.org (Global: 1,160^th place; English: 737^th place)

Peruzzo, Alberto; Lobino, Mirko; Matthews, Jonathan C. F.; Matsuda, Nobuyuki; Politi, Alberto; Poulios, Konstantinos; Zhou, Xiao-Qi; Lahini, Yoav; Ismail, Nur; Wörhoff, Kerstin; Bromberg, Yaron; Silberberg, Yaron; Thompson, Mark G.; OBrien, Jeremy L. (17 September 2010). "Quantum Walks of Correlated Photons". Science. 329 (5998): 1500–1503. arXiv:1006.4764. Bibcode:2010Sci...329.1500P. doi:10.1126/science.1193515. hdl:10072/53193. ISSN 0036-8075. PMID 20847264. S2CID 13896075.

sciencedirect.com (Global: 149^th place; English: 178^th place)

Li, Guanzhong; Li, Lvzhou (May 2025). "Derandomization of quantum algorithm for triangle finding". Information and Computation. 304 105295. doi:10.1016/j.ic.2025.105295. ISSN 0890-5401.

scottaaronson.com (Global: low place; English: low place)

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semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Childs, Andrew M.; van Dam, W. (2010). "Quantum algorithms for algebraic problems". Reviews of Modern Physics. 82 (1): 1–52. arXiv:0812.0380. Bibcode:2010RvMP...82....1C. doi:10.1103/RevModPhys.82.1. S2CID 119261679.
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Ralph, T.C. (July 2013). "Figure 1: The boson-sampling problem". Nature Photonics. 7 (7). Nature: 514–515. doi:10.1038/nphoton.2013.175. S2CID 110342419. Retrieved 12 September 2014.
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Seshadreesan, Kaushik P.; Olson, Jonathan P.; Motes, Keith R.; Rohde, Peter P.; Dowling, Jonathan P. (2015). "Boson sampling with displaced single-photon Fock states versus single-photon-added coherent states: The quantum-classical divide and computational-complexity transitions in linear optics". Physical Review A. 91 (2) 022334. arXiv:1402.0531. Bibcode:2015PhRvA..91b2334S. doi:10.1103/PhysRevA.91.022334. S2CID 55455992.
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Feynman, R. P. (1982). "Simulating physics with computers". International Journal of Theoretical Physics. 21 (6–7): 467–488. Bibcode:1982IJTP...21..467F. CiteSeerX 10.1.1.45.9310. doi:10.1007/BF02650179. S2CID 124545445.
Abrams, D. S.; Lloyd, S. (1997). "Simulation of many-body Fermi systems on a universal quantum computer". Physical Review Letters. 79 (13): 2586–2589. arXiv:quant-ph/9703054. Bibcode:1997PhRvL..79.2586A. doi:10.1103/PhysRevLett.79.2586. S2CID 18231521.
Freedman, M.; Kitaev, A.; Wang, Z. (2002). "Simulation of Topological Field Theories by Quantum Computers". Communications in Mathematical Physics. 227 (3): 587–603. arXiv:quant-ph/0001071. Bibcode:2002CMaPh.227..587F. doi:10.1007/s002200200635. S2CID 449219.
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Alagic, G.; Jordan, S.P.; König, R.; Reichardt, B. W. (2010). "Approximating Turaev-Viro 3-manifold invariants is universal for quantum computation". Physical Review A. 82 (4) 040302. arXiv:1003.0923. Bibcode:2010PhRvA..82d0302A. doi:10.1103/PhysRevA.82.040302. S2CID 28281402.
Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for solving linear systems of equations". Physical Review Letters. 103 (15) 150502. arXiv:0811.3171. Bibcode:2009PhRvL.103o0502H. doi:10.1103/PhysRevLett.103.150502. PMID 19905613. S2CID 5187993.
Moll, Nikolaj; Barkoutsos, Panagiotis; Bishop, Lev S.; Chow, Jerry M.; Cross, Andrew; Egger, Daniel J.; Filipp, Stefan; Fuhrer, Andreas; Gambetta, Jay M.; Ganzhorn, Marc; Kandala, Abhinav; Mezzacapo, Antonio; Müller, Peter; Riess, Walter; Salis, Gian; Smolin, John; Tavernelli, Ivano; Temme, Kristan (2018). "Quantum optimization using variational algorithms on near-term quantum devices". Quantum Science and Technology. 3 (3): 030503. arXiv:1710.01022. Bibcode:2018QS&T....3c0503M. doi:10.1088/2058-9565/aab822. S2CID 56376912.
Higgott, Oscar; Wang, Daochen; Brierley, Stephen (2019). "Variational Quantum Computation of Excited States". Quantum. 3 156. arXiv:1805.08138. Bibcode:2019Quant...3..156H. doi:10.22331/q-2019-07-01-156. S2CID 119185497.
Smart, Scott; Mazziotti, David (18 February 2021). "Quantum Solver of Contracted Eigenvalue Equations for Scalable Molecular Simulations on Quantum Computing Devices". Phys. Rev. Lett. 125 (7) 070504. arXiv:2004.11416. Bibcode:2021PhRvL.126g0504S. doi:10.1103/PhysRevLett.126.070504. PMID 33666467. S2CID 216144443.

web.archive.org (Global: 1^st place; English: 1^st place)

"Shor's algorithm". Archived from the original on 12 January 2023. Retrieved 21 October 2020.
"IBM quantum composer user guide: Grover's algorithm". quantum-computing.ibm.com. Archived from the original on 27 September 2022. Retrieved 7 June 2022.

worldcat.org (Global: 5^th place; English: 5^th place)

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Peruzzo, Alberto; Lobino, Mirko; Matthews, Jonathan C. F.; Matsuda, Nobuyuki; Politi, Alberto; Poulios, Konstantinos; Zhou, Xiao-Qi; Lahini, Yoav; Ismail, Nur; Wörhoff, Kerstin; Bromberg, Yaron; Silberberg, Yaron; Thompson, Mark G.; OBrien, Jeremy L. (17 September 2010). "Quantum Walks of Correlated Photons". Science. 329 (5998): 1500–1503. arXiv:1006.4764. Bibcode:2010Sci...329.1500P. doi:10.1126/science.1193515. hdl:10072/53193. ISSN 0036-8075. PMID 20847264. S2CID 13896075.
Li, Guanzhong; Li, Lvzhou (May 2025). "Derandomization of quantum algorithm for triangle finding". Information and Computation. 304 105295. doi:10.1016/j.ic.2025.105295. ISSN 0890-5401.
Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter; Yung, Man-Hong; Zhou, Xiao-Qi; Love, Peter J.; Aspuru-Guzik, Alán; O'Brien, Jeremy L. (23 July 2014). "A variational eigenvalue solver on a photonic quantum processor". Nature Communications. 5 (1): 4213. arXiv:1304.3061. Bibcode:2014NatCo...5.4213P. doi:10.1038/ncomms5213. ISSN 2041-1723. PMC 4124861. PMID 25055053.

Quantum algorithm (English Wikipedia)

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