HHL algorithm (English Wikipedia)

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

refsWebsite

Global rank English rank

17arxiv.org

69^th place

59^th place

17doi.org

2^nd place

14harvard.edu

18^th place

17^th place

13semanticscholar.org

11^th place

8^th place

11nih.gov

4^th place

4books.google.com

3^rd place

3worldcat.org

5^th place

1aps.org

1,503^rd place

1,378^th place

1quantamagazine.org

6,413^th place

4,268^th place

1nature.com

234^th place

397^th place

aps.org (Global: 1,503^rd place; English: 1,378^th place)

journals.aps.org

Tsemo, Peniel; Jayashankar, Akshaya; Sugisaki, K; Baskaran, Nishanth; Chakraborty, Sayan; Prasannaa, VS (2025). "Enhancing the HHL algorithm in systems with large condition numbers". Physical Review Research. 7 (2): 023270. arXiv:2407.21641. doi:10.1103/msvx-1drx.

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

Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for 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.
Cai, X.-D; Weedbrook, C; Su, Z.-E; Chen, M.-C; Gu, Mile; Zhu, M.-J; Li, Li; Liu, Nai-Le; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Barz, Stefanie; Kassal, Ivan; Ringbauer, Martin; Lipp, Yannick Ole; Dakić, Borivoje; Aspuru-Guzik, Alán; Walther, Philip (2014). "A two-qubit photonic quantum processor and its application to solving systems of linear equations". Scientific Reports. 4 6115. arXiv:1302.1210. Bibcode:2014NatSR...4.6115B. doi:10.1038/srep06115. ISSN 2045-2322. PMC 4137340. PMID 25135432.
Pan, Jian; Cao, Yudong; Yao, Xiwei; Li, Zhaokai; Ju, Chenyong; Peng, Xinhua; Kais, Sabre; Du, Jiangfeng; Du, Jiangfeng (2014). "Experimental realization of quantum algorithm for solving linear systems of equations". Physical Review A. 89 (2) 022313. arXiv:1302.1946. Bibcode:2014PhRvA..89b2313P. doi:10.1103/PhysRevA.89.022313. S2CID 14303240.
Zhao, Zhikuan; Pozas-Kerstjens, Alejandro; Rebentrost, Patrick; Wittek, Peter (2019). "Bayesian Deep Learning on a Quantum Computer". Quantum Machine Intelligence. 1 (1–2): 41–51. arXiv:1806.11463. doi:10.1007/s42484-019-00004-7. S2CID 49554188.
Ambainis, Andris (2010). "Variable time amplitude amplification and a faster quantum algorithm for solving systems of linear equations". arXiv:1010.4458 [quant-ph].
Tsemo, Peniel; Jayashankar, Akshaya; Sugisaki, K; Baskaran, Nishanth; Chakraborty, Sayan; Prasannaa, VS (2025). "Enhancing the HHL algorithm in systems with large condition numbers". Physical Review Research. 7 (2): 023270. arXiv:2407.21641. doi:10.1103/msvx-1drx.
Childs, Andrew M.; Kothari, Robin; Somma, Rolando D. (2017). "Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision". SIAM Journal on Computing. 46 (6): 1920–1950. arXiv:1511.02306. doi:10.1137/16m1087072. ISSN 0097-5397. S2CID 3834959.
Wossnig, Leonard; Zhao, Zhikuan; Prakash, Anupam (2018). "A quantum linear system algorithm for dense matrices". Physical Review Letters. 120 (5) 050502. arXiv:1704.06174. Bibcode:2018PhRvL.120e0502W. doi:10.1103/PhysRevLett.120.050502. PMID 29481180. S2CID 3714239.
Cai, X. -D; Weedbrook, Christian; Su, Z. -E; Chen, M. -C; Gu, Mile; Zhu, M. -J; Li, L; Liu, N. -L; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Subaşı, Yiğit; Somma, Rolando D.; Orsucci, Davide (2019-02-14). "Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing". Physical Review Letters. 122 (6) 060504. arXiv:1805.10549. Bibcode:2019PhRvL.122f0504S. doi:10.1103/physrevlett.122.060504. ISSN 0031-9007. PMID 30822089. S2CID 73493666.
Clader, B. D; Jacobs, B. C; Sprouse, C. R (2013). "Preconditioned Quantum Linear System Algorithm". Physical Review Letters. 110 (25) 250504. arXiv:1301.2340. Bibcode:2013PhRvL.110y0504C. doi:10.1103/PhysRevLett.110.250504. PMID 23829722. S2CID 33391978.
Berry, Dominic W (2010). "High-order quantum algorithm for solving linear differential equations". Journal of Physics A: Mathematical and Theoretical. 47 (10) 105301. arXiv:1010.2745. Bibcode:2014JPhA...47j5301B. doi:10.1088/1751-8113/47/10/105301. S2CID 17623971.
Liu, J.P.; Kolden, H.Ø.; Krovi, H.K.; Loureiro, N.F.; Trivisa, K.; Childs, A.M. (2021). "Efficient quantum algorithm for dissipative nonlinear differential equations". PNAS. 118 (35) e2026805118. arXiv:2011.03185. Bibcode:2021PNAS..11826805L. doi:10.1073/pnas.2026805118. PMC 8536387. PMID 34446548.
Lloyd, S.; De Palma, G; Gokler, C.; Kiani, B.; Liu, Z.W.; Marvian, M.; Tennie, F.; Palmer, T. (2020). "Quantum algorithm for nonlinear differential equations". arXiv:2011.06571 [quant-ph].
Montanaro, Ashley; Pallister, Sam (2016). "Quantum Algorithms and the Finite Element Method". Physical Review A. 93 (3) 032324. arXiv:1512.05903. Bibcode:2016PhRvA..93c2324M. doi:10.1103/PhysRevA.93.032324. S2CID 44004935.
Wiebe, Nathan; Braun, Daniel; Lloyd, Seth (2012). "Quantum Data Fitting". Physical Review Letters. 109 (5) 050505. arXiv:1204.5242. Bibcode:2012PhRvL.109e0505W. doi:10.1103/PhysRevLett.109.050505. PMID 23006156. S2CID 118439810.

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

Johnston, Eric (2019-07-03). Programming Quantum Computers: Essential Algorithms and Code Samples. O'Reilly Media. p. 267. ISBN 978-1-4920-3965-5.
Jacquier, Antoine (2022-10-31). Quantum Machine Learning and Optimisation in Finance: On the Road to Quantum Advantage. Packt. p. 349. ISBN 978-1-80181-787-5.
Schuld, Maria (2018). Supervised Learning with Quantum Computers. Springer Publishing. p. 218. ISBN 978-3-319-96424-9.
Schuld, Maria (2018). Supervised Learning with Quantum Computers. Springer Publishing. p. 219. ISBN 978-3-319-96424-9.

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

Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for 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.
Cai, X.-D; Weedbrook, C; Su, Z.-E; Chen, M.-C; Gu, Mile; Zhu, M.-J; Li, Li; Liu, Nai-Le; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Barz, Stefanie; Kassal, Ivan; Ringbauer, Martin; Lipp, Yannick Ole; Dakić, Borivoje; Aspuru-Guzik, Alán; Walther, Philip (2014). "A two-qubit photonic quantum processor and its application to solving systems of linear equations". Scientific Reports. 4 6115. arXiv:1302.1210. Bibcode:2014NatSR...4.6115B. doi:10.1038/srep06115. ISSN 2045-2322. PMC 4137340. PMID 25135432.
Pan, Jian; Cao, Yudong; Yao, Xiwei; Li, Zhaokai; Ju, Chenyong; Peng, Xinhua; Kais, Sabre; Du, Jiangfeng; Du, Jiangfeng (2014). "Experimental realization of quantum algorithm for solving linear systems of equations". Physical Review A. 89 (2) 022313. arXiv:1302.1946. Bibcode:2014PhRvA..89b2313P. doi:10.1103/PhysRevA.89.022313. S2CID 14303240.
Zhao, Zhikuan; Pozas-Kerstjens, Alejandro; Rebentrost, Patrick; Wittek, Peter (2019). "Bayesian Deep Learning on a Quantum Computer". Quantum Machine Intelligence. 1 (1–2): 41–51. arXiv:1806.11463. doi:10.1007/s42484-019-00004-7. S2CID 49554188.
Tsemo, Peniel; Jayashankar, Akshaya; Sugisaki, K; Baskaran, Nishanth; Chakraborty, Sayan; Prasannaa, VS (2025). "Enhancing the HHL algorithm in systems with large condition numbers". Physical Review Research. 7 (2): 023270. arXiv:2407.21641. doi:10.1103/msvx-1drx.
Childs, Andrew M.; Kothari, Robin; Somma, Rolando D. (2017). "Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision". SIAM Journal on Computing. 46 (6): 1920–1950. arXiv:1511.02306. doi:10.1137/16m1087072. ISSN 0097-5397. S2CID 3834959.
Wossnig, Leonard; Zhao, Zhikuan; Prakash, Anupam (2018). "A quantum linear system algorithm for dense matrices". Physical Review Letters. 120 (5) 050502. arXiv:1704.06174. Bibcode:2018PhRvL.120e0502W. doi:10.1103/PhysRevLett.120.050502. PMID 29481180. S2CID 3714239.
Cai, X. -D; Weedbrook, Christian; Su, Z. -E; Chen, M. -C; Gu, Mile; Zhu, M. -J; Li, L; Liu, N. -L; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Subaşı, Yiğit; Somma, Rolando D.; Orsucci, Davide (2019-02-14). "Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing". Physical Review Letters. 122 (6) 060504. arXiv:1805.10549. Bibcode:2019PhRvL.122f0504S. doi:10.1103/physrevlett.122.060504. ISSN 0031-9007. PMID 30822089. S2CID 73493666.
Clader, B. D; Jacobs, B. C; Sprouse, C. R (2013). "Preconditioned Quantum Linear System Algorithm". Physical Review Letters. 110 (25) 250504. arXiv:1301.2340. Bibcode:2013PhRvL.110y0504C. doi:10.1103/PhysRevLett.110.250504. PMID 23829722. S2CID 33391978.
Berry, Dominic W (2010). "High-order quantum algorithm for solving linear differential equations". Journal of Physics A: Mathematical and Theoretical. 47 (10) 105301. arXiv:1010.2745. Bibcode:2014JPhA...47j5301B. doi:10.1088/1751-8113/47/10/105301. S2CID 17623971.
Liu, J.P.; Kolden, H.Ø.; Krovi, H.K.; Loureiro, N.F.; Trivisa, K.; Childs, A.M. (2021). "Efficient quantum algorithm for dissipative nonlinear differential equations". PNAS. 118 (35) e2026805118. arXiv:2011.03185. Bibcode:2021PNAS..11826805L. doi:10.1073/pnas.2026805118. PMC 8536387. PMID 34446548.
Montanaro, Ashley; Pallister, Sam (2016). "Quantum Algorithms and the Finite Element Method". Physical Review A. 93 (3) 032324. arXiv:1512.05903. Bibcode:2016PhRvA..93c2324M. doi:10.1103/PhysRevA.93.032324. S2CID 44004935.
Wiebe, Nathan; Braun, Daniel; Lloyd, Seth (2012). "Quantum Data Fitting". Physical Review Letters. 109 (5) 050505. arXiv:1204.5242. Bibcode:2012PhRvL.109e0505W. doi:10.1103/PhysRevLett.109.050505. PMID 23006156. S2CID 118439810.
Baskaran, N (2023). "Adapting the Harrow-Hassidim-Lloyd algorithm to quantum many-body theory". Physical Review Research. 5 (4) 043113. Bibcode:2023PhRvR...5d3113B. doi:10.1103/PhysRevResearch.5.043113.
Aaronson, Scott (2015). "Read the fine print". Nature Physics. 11 (4): 291–293. Bibcode:2015NatPh..11..291A. doi:10.1038/nphys3272. S2CID 122167250. Retrieved 2023-05-09.

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

ui.adsabs.harvard.edu

Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for 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.
Cai, X.-D; Weedbrook, C; Su, Z.-E; Chen, M.-C; Gu, Mile; Zhu, M.-J; Li, Li; Liu, Nai-Le; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Barz, Stefanie; Kassal, Ivan; Ringbauer, Martin; Lipp, Yannick Ole; Dakić, Borivoje; Aspuru-Guzik, Alán; Walther, Philip (2014). "A two-qubit photonic quantum processor and its application to solving systems of linear equations". Scientific Reports. 4 6115. arXiv:1302.1210. Bibcode:2014NatSR...4.6115B. doi:10.1038/srep06115. ISSN 2045-2322. PMC 4137340. PMID 25135432.
Pan, Jian; Cao, Yudong; Yao, Xiwei; Li, Zhaokai; Ju, Chenyong; Peng, Xinhua; Kais, Sabre; Du, Jiangfeng; Du, Jiangfeng (2014). "Experimental realization of quantum algorithm for solving linear systems of equations". Physical Review A. 89 (2) 022313. arXiv:1302.1946. Bibcode:2014PhRvA..89b2313P. doi:10.1103/PhysRevA.89.022313. S2CID 14303240.
Wossnig, Leonard; Zhao, Zhikuan; Prakash, Anupam (2018). "A quantum linear system algorithm for dense matrices". Physical Review Letters. 120 (5) 050502. arXiv:1704.06174. Bibcode:2018PhRvL.120e0502W. doi:10.1103/PhysRevLett.120.050502. PMID 29481180. S2CID 3714239.
Cai, X. -D; Weedbrook, Christian; Su, Z. -E; Chen, M. -C; Gu, Mile; Zhu, M. -J; Li, L; Liu, N. -L; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Subaşı, Yiğit; Somma, Rolando D.; Orsucci, Davide (2019-02-14). "Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing". Physical Review Letters. 122 (6) 060504. arXiv:1805.10549. Bibcode:2019PhRvL.122f0504S. doi:10.1103/physrevlett.122.060504. ISSN 0031-9007. PMID 30822089. S2CID 73493666.
Clader, B. D; Jacobs, B. C; Sprouse, C. R (2013). "Preconditioned Quantum Linear System Algorithm". Physical Review Letters. 110 (25) 250504. arXiv:1301.2340. Bibcode:2013PhRvL.110y0504C. doi:10.1103/PhysRevLett.110.250504. PMID 23829722. S2CID 33391978.
Berry, Dominic W (2010). "High-order quantum algorithm for solving linear differential equations". Journal of Physics A: Mathematical and Theoretical. 47 (10) 105301. arXiv:1010.2745. Bibcode:2014JPhA...47j5301B. doi:10.1088/1751-8113/47/10/105301. S2CID 17623971.
Liu, J.P.; Kolden, H.Ø.; Krovi, H.K.; Loureiro, N.F.; Trivisa, K.; Childs, A.M. (2021). "Efficient quantum algorithm for dissipative nonlinear differential equations". PNAS. 118 (35) e2026805118. arXiv:2011.03185. Bibcode:2021PNAS..11826805L. doi:10.1073/pnas.2026805118. PMC 8536387. PMID 34446548.
Montanaro, Ashley; Pallister, Sam (2016). "Quantum Algorithms and the Finite Element Method". Physical Review A. 93 (3) 032324. arXiv:1512.05903. Bibcode:2016PhRvA..93c2324M. doi:10.1103/PhysRevA.93.032324. S2CID 44004935.
Wiebe, Nathan; Braun, Daniel; Lloyd, Seth (2012). "Quantum Data Fitting". Physical Review Letters. 109 (5) 050505. arXiv:1204.5242. Bibcode:2012PhRvL.109e0505W. doi:10.1103/PhysRevLett.109.050505. PMID 23006156. S2CID 118439810.
Baskaran, N (2023). "Adapting the Harrow-Hassidim-Lloyd algorithm to quantum many-body theory". Physical Review Research. 5 (4) 043113. Bibcode:2023PhRvR...5d3113B. doi:10.1103/PhysRevResearch.5.043113.
Aaronson, Scott (2015). "Read the fine print". Nature Physics. 11 (4): 291–293. Bibcode:2015NatPh..11..291A. doi:10.1038/nphys3272. S2CID 122167250. Retrieved 2023-05-09.

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

Aaronson, Scott (2015). "Read the fine print". Nature Physics. 11 (4): 291–293. Bibcode:2015NatPh..11..291A. doi:10.1038/nphys3272. S2CID 122167250. Retrieved 2023-05-09.

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

pubmed.ncbi.nlm.nih.gov

Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for 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.
Cai, X.-D; Weedbrook, C; Su, Z.-E; Chen, M.-C; Gu, Mile; Zhu, M.-J; Li, Li; Liu, Nai-Le; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Barz, Stefanie; Kassal, Ivan; Ringbauer, Martin; Lipp, Yannick Ole; Dakić, Borivoje; Aspuru-Guzik, Alán; Walther, Philip (2014). "A two-qubit photonic quantum processor and its application to solving systems of linear equations". Scientific Reports. 4 6115. arXiv:1302.1210. Bibcode:2014NatSR...4.6115B. doi:10.1038/srep06115. ISSN 2045-2322. PMC 4137340. PMID 25135432.
Wossnig, Leonard; Zhao, Zhikuan; Prakash, Anupam (2018). "A quantum linear system algorithm for dense matrices". Physical Review Letters. 120 (5) 050502. arXiv:1704.06174. Bibcode:2018PhRvL.120e0502W. doi:10.1103/PhysRevLett.120.050502. PMID 29481180. S2CID 3714239.
Cai, X. -D; Weedbrook, Christian; Su, Z. -E; Chen, M. -C; Gu, Mile; Zhu, M. -J; Li, L; Liu, N. -L; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Subaşı, Yiğit; Somma, Rolando D.; Orsucci, Davide (2019-02-14). "Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing". Physical Review Letters. 122 (6) 060504. arXiv:1805.10549. Bibcode:2019PhRvL.122f0504S. doi:10.1103/physrevlett.122.060504. ISSN 0031-9007. PMID 30822089. S2CID 73493666.
Clader, B. D; Jacobs, B. C; Sprouse, C. R (2013). "Preconditioned Quantum Linear System Algorithm". Physical Review Letters. 110 (25) 250504. arXiv:1301.2340. Bibcode:2013PhRvL.110y0504C. doi:10.1103/PhysRevLett.110.250504. PMID 23829722. S2CID 33391978.
Liu, J.P.; Kolden, H.Ø.; Krovi, H.K.; Loureiro, N.F.; Trivisa, K.; Childs, A.M. (2021). "Efficient quantum algorithm for dissipative nonlinear differential equations". PNAS. 118 (35) e2026805118. arXiv:2011.03185. Bibcode:2021PNAS..11826805L. doi:10.1073/pnas.2026805118. PMC 8536387. PMID 34446548.
Wiebe, Nathan; Braun, Daniel; Lloyd, Seth (2012). "Quantum Data Fitting". Physical Review Letters. 109 (5) 050505. arXiv:1204.5242. Bibcode:2012PhRvL.109e0505W. doi:10.1103/PhysRevLett.109.050505. PMID 23006156. S2CID 118439810.

ncbi.nlm.nih.gov

Barz, Stefanie; Kassal, Ivan; Ringbauer, Martin; Lipp, Yannick Ole; Dakić, Borivoje; Aspuru-Guzik, Alán; Walther, Philip (2014). "A two-qubit photonic quantum processor and its application to solving systems of linear equations". Scientific Reports. 4 6115. arXiv:1302.1210. Bibcode:2014NatSR...4.6115B. doi:10.1038/srep06115. ISSN 2045-2322. PMC 4137340. PMID 25135432.
Liu, J.P.; Kolden, H.Ø.; Krovi, H.K.; Loureiro, N.F.; Trivisa, K.; Childs, A.M. (2021). "Efficient quantum algorithm for dissipative nonlinear differential equations". PNAS. 118 (35) e2026805118. arXiv:2011.03185. Bibcode:2021PNAS..11826805L. doi:10.1073/pnas.2026805118. PMC 8536387. PMID 34446548.

quantamagazine.org (Global: 6,413^th place; English: 4,268^th place)

Levy, Max G. (January 5, 2021). "New Quantum Algorithms Finally Crack Nonlinear Equations". Quanta Magazine. Retrieved December 31, 2022.

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

api.semanticscholar.org

Harrow, Aram W; Hassidim, Avinatan; Lloyd, Seth (2008). "Quantum algorithm for 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.
Cai, X.-D; Weedbrook, C; Su, Z.-E; Chen, M.-C; Gu, Mile; Zhu, M.-J; Li, Li; Liu, Nai-Le; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Pan, Jian; Cao, Yudong; Yao, Xiwei; Li, Zhaokai; Ju, Chenyong; Peng, Xinhua; Kais, Sabre; Du, Jiangfeng; Du, Jiangfeng (2014). "Experimental realization of quantum algorithm for solving linear systems of equations". Physical Review A. 89 (2) 022313. arXiv:1302.1946. Bibcode:2014PhRvA..89b2313P. doi:10.1103/PhysRevA.89.022313. S2CID 14303240.
Zhao, Zhikuan; Pozas-Kerstjens, Alejandro; Rebentrost, Patrick; Wittek, Peter (2019). "Bayesian Deep Learning on a Quantum Computer". Quantum Machine Intelligence. 1 (1–2): 41–51. arXiv:1806.11463. doi:10.1007/s42484-019-00004-7. S2CID 49554188.
Childs, Andrew M.; Kothari, Robin; Somma, Rolando D. (2017). "Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision". SIAM Journal on Computing. 46 (6): 1920–1950. arXiv:1511.02306. doi:10.1137/16m1087072. ISSN 0097-5397. S2CID 3834959.
Wossnig, Leonard; Zhao, Zhikuan; Prakash, Anupam (2018). "A quantum linear system algorithm for dense matrices". Physical Review Letters. 120 (5) 050502. arXiv:1704.06174. Bibcode:2018PhRvL.120e0502W. doi:10.1103/PhysRevLett.120.050502. PMID 29481180. S2CID 3714239.
Cai, X. -D; Weedbrook, Christian; Su, Z. -E; Chen, M. -C; Gu, Mile; Zhu, M. -J; Li, L; Liu, N. -L; Lu, Chao-Yang; Pan, Jian-Wei (2013). "Experimental Quantum Computing to Solve Systems of Linear Equations". Physical Review Letters. 110 (23) 230501. arXiv:1302.4310. Bibcode:2013PhRvL.110w0501C. doi:10.1103/PhysRevLett.110.230501. PMID 25167475. S2CID 20427454.
Subaşı, Yiğit; Somma, Rolando D.; Orsucci, Davide (2019-02-14). "Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing". Physical Review Letters. 122 (6) 060504. arXiv:1805.10549. Bibcode:2019PhRvL.122f0504S. doi:10.1103/physrevlett.122.060504. ISSN 0031-9007. PMID 30822089. S2CID 73493666.
Clader, B. D; Jacobs, B. C; Sprouse, C. R (2013). "Preconditioned Quantum Linear System Algorithm". Physical Review Letters. 110 (25) 250504. arXiv:1301.2340. Bibcode:2013PhRvL.110y0504C. doi:10.1103/PhysRevLett.110.250504. PMID 23829722. S2CID 33391978.
Berry, Dominic W (2010). "High-order quantum algorithm for solving linear differential equations". Journal of Physics A: Mathematical and Theoretical. 47 (10) 105301. arXiv:1010.2745. Bibcode:2014JPhA...47j5301B. doi:10.1088/1751-8113/47/10/105301. S2CID 17623971.
Montanaro, Ashley; Pallister, Sam (2016). "Quantum Algorithms and the Finite Element Method". Physical Review A. 93 (3) 032324. arXiv:1512.05903. Bibcode:2016PhRvA..93c2324M. doi:10.1103/PhysRevA.93.032324. S2CID 44004935.
Wiebe, Nathan; Braun, Daniel; Lloyd, Seth (2012). "Quantum Data Fitting". Physical Review Letters. 109 (5) 050505. arXiv:1204.5242. Bibcode:2012PhRvL.109e0505W. doi:10.1103/PhysRevLett.109.050505. PMID 23006156. S2CID 118439810.
Aaronson, Scott (2015). "Read the fine print". Nature Physics. 11 (4): 291–293. Bibcode:2015NatPh..11..291A. doi:10.1038/nphys3272. S2CID 122167250. Retrieved 2023-05-09.

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

search.worldcat.org

Barz, Stefanie; Kassal, Ivan; Ringbauer, Martin; Lipp, Yannick Ole; Dakić, Borivoje; Aspuru-Guzik, Alán; Walther, Philip (2014). "A two-qubit photonic quantum processor and its application to solving systems of linear equations". Scientific Reports. 4 6115. arXiv:1302.1210. Bibcode:2014NatSR...4.6115B. doi:10.1038/srep06115. ISSN 2045-2322. PMC 4137340. PMID 25135432.
Childs, Andrew M.; Kothari, Robin; Somma, Rolando D. (2017). "Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision". SIAM Journal on Computing. 46 (6): 1920–1950. arXiv:1511.02306. doi:10.1137/16m1087072. ISSN 0097-5397. S2CID 3834959.
Subaşı, Yiğit; Somma, Rolando D.; Orsucci, Davide (2019-02-14). "Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing". Physical Review Letters. 122 (6) 060504. arXiv:1805.10549. Bibcode:2019PhRvL.122f0504S. doi:10.1103/physrevlett.122.060504. ISSN 0031-9007. PMID 30822089. S2CID 73493666.

HHL algorithm (English Wikipedia)

aps.org (Global: 1,503rd place; English: 1,378th place)

journals.aps.org

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

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

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

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