References analysis of the Wikipedia article "Quantum error correction" in the English version

arxiv.org

Cai, Weizhou; Ma, Yuwei (2021). "Bosonic quantum error correction codes in superconducting quantum circuits". Fundamental Research. 1 (1): 50–67. arXiv:2010.08699. Bibcode:2021FunRe...1...50C. doi:10.1016/j.fmre.2020.12.006. A practical quantum computer that is capable of large circuit depth, therefore, ultimately calls for operations on logical qubits protected by quantum error correction

Devitt, Simon J; Munro, William J; Nemoto, Kae (2013-06-20). "Quantum error correction for beginners". Reports on Progress in Physics. 76 (7): 076001. arXiv:0905.2794. Bibcode:2013RPPh...76g6001D. doi:10.1088/0034-4885/76/7/076001. ISSN 0034-4885. PMID 23787909. S2CID 206021660.

Cochrane, P. T.; Milburn, G. J.; Munro, W. J. (1999-04-01). "Macroscopically distinct quantum-superposition states as a bosonic code for amplitude damping". Physical Review A. 59 (4): 2631–2634. arXiv:quant-ph/9809037. Bibcode:1999PhRvA..59.2631C. doi:10.1103/PhysRevA.59.2631. S2CID 119532538.

Leghtas, Zaki; Kirchmair, Gerhard; Vlastakis, Brian; Schoelkopf, Robert J.; Devoret, Michel H.; Mirrahimi, Mazyar (2013-09-20). "Hardware-Efficient Autonomous Quantum Memory Protection". Physical Review Letters. 111 (12): 120501. arXiv:1207.0679. Bibcode:2013PhRvL.111l0501L. doi:10.1103/physrevlett.111.120501. ISSN 0031-9007. PMID 24093235. S2CID 19929020.

Mirrahimi, Mazyar; Leghtas, Zaki; Albert, Victor V; Touzard, Steven; Schoelkopf, Robert J; Jiang, Liang; Devoret, Michel H (2014-04-22). "Dynamically protected cat-qubits: a new paradigm for universal quantum computation". New Journal of Physics. 16 (4): 045014. arXiv:1312.2017. Bibcode:2014NJPh...16d5014M. doi:10.1088/1367-2630/16/4/045014. ISSN 1367-2630. S2CID 7179816.

Daniel Gottesman; Alexei Kitaev; John Preskill (2001). "Encoding a qubit in an oscillator". Physical Review A. 64 (1): 012310. arXiv:quant-ph/0008040. Bibcode:2001PhRvA..64a2310G. doi:10.1103/PhysRevA.64.012310. S2CID 18995200.

Michael, Marios H.; Silveri, Matti; Brierley, R. T.; Albert, Victor V.; Salmilehto, Juha; Jiang, Liang; Girvin, S. M. (2016-07-14). "New Class of Quantum Error-Correcting Codes for a Bosonic Mode". Physical Review X. 6 (3): 031006. arXiv:1602.00008. Bibcode:2016PhRvX...6c1006M. doi:10.1103/PhysRevX.6.031006. S2CID 29518512.

Albert, Victor V.; Noh, Kyungjoo; Duivenvoorden, Kasper; Young, Dylan J.; Brierley, R. T.; Reinhold, Philip; Vuillot, Christophe; Li, Linshu; Shen, Chao; Girvin, S. M.; Terhal, Barbara M.; Jiang, Liang (2018). "Performance and structure of single-mode bosonic codes". Physical Review A. 97 (3): 032346. arXiv:1708.05010. Bibcode:2018PhRvA..97c2346A. doi:10.1103/PhysRevA.97.032346. S2CID 51691343.

Sun, L.; Petrenko, A.; Leghtas, Z.; Vlastakis, B.; Kirchmair, G.; Sliwa, K. M.; Narla, A.; Hatridge, M.; Shankar, S.; Blumoff, J.; Frunzio, L.; Mirrahimi, M.; Devoret, M. H.; Schoelkopf, R. J. (July 2014). "Tracking photon jumps with repeated quantum non-demolition parity measurements". Nature. 511 (7510): 444–448. arXiv:1311.2534. Bibcode:2014Natur.511..444S. doi:10.1038/nature13436. ISSN 1476-4687. PMID 25043007. S2CID 987945.

Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. (1998). "Quantum Error Correction via Codes over GF(4)". IEEE Transactions on Information Theory. 44 (4): 1369–1387. arXiv:quant-ph/9608006. doi:10.1109/18.681315. S2CID 1215697.

Bacon, Dave (2006-01-30). "Operator quantum error-correcting subsystems for self-correcting quantum memories". Physical Review A. 73 (1): 012340. arXiv:quant-ph/0506023. Bibcode:2006PhRvA..73a2340B. doi:10.1103/PhysRevA.73.012340. S2CID 118968017.

Fowler, Austin G.; Mariantoni, Matteo; Martinis, John M.; Cleland, Andrew N. (2012-09-18). "Surface codes: Towards practical large-scale quantum computation". Physical Review A. 86 (3): 032324. arXiv:1208.0928. Bibcode:2012PhRvA..86c2324F. doi:10.1103/PhysRevA.86.032324. ISSN 1050-2947.

Gidney, Craig; Newman, Michael; Brooks, Peter; Jones, Cody (2023). "Yoked surface codes". arXiv:2312.04522 [quant-ph].

Horsman, Dominic; Fowler, Austin G; Devitt, Simon; Meter, Rodney Van (2012-12-01). "Surface code quantum computing by lattice surgery". New Journal of Physics. 14 (12): 123011. arXiv:1111.4022. Bibcode:2012NJPh...14l3011H. doi:10.1088/1367-2630/14/12/123011. ISSN 1367-2630.

Knill, Emanuel (2004-11-02). "Quantum Computing with Very Noisy Devices". Nature. 434 (7029): 39–44. arXiv:quant-ph/0410199. Bibcode:2005Natur.434...39K. doi:10.1038/nature03350. PMID 15744292. S2CID 4420858.

Cory, D. G.; Price, M. D.; Maas, W.; Knill, E.; Laflamme, R.; Zurek, W. H.; Havel, T. F.; Somaroo, S. S. (1998). "Experimental Quantum Error Correction". Phys. Rev. Lett. 81 (10): 2152–2155. arXiv:quant-ph/9802018. Bibcode:1998PhRvL..81.2152C. doi:10.1103/PhysRevLett.81.2152. S2CID 11662810.

Pittman, T. B.; Jacobs, B. C.; Franson, J. D. (2005). "Demonstration of quantum error correction using linear optics". Phys. Rev. A. 71 (5): 052332. arXiv:quant-ph/0502042. Bibcode:2005PhRvA..71e2332P. doi:10.1103/PhysRevA.71.052332. S2CID 11679660.

Reed, M. D.; DiCarlo, L.; Nigg, S. E.; Sun, L.; Frunzio, L.; Girvin, S. M.; Schoelkopf, R. J. (2012). "Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits". Nature. 482 (7385): 382–385. arXiv:1109.4948. Bibcode:2012Natur.482..382R. doi:10.1038/nature10786. PMID 22297844. S2CID 2610639.

Lassen, M.; Sabuncu, M.; Huck, A.; Niset, J.; Leuchs, G.; Cerf, N. J.; Andersen, U. L. (2010). "Quantum optical coherence can survive photon losses using a continuous-variable quantum erasure-correcting code". Nature Photonics. 4 (10): 700. arXiv:1006.3941. Bibcode:2010NaPho...4..700L. doi:10.1038/nphoton.2010.168. S2CID 55090423.

Guo, Qihao; Zhao, Yuan-Yuan; Grassl, Markus; Nie, Xinfang; Xiang, Guo-Yong; Xin, Tao; Yin, Zhang-Qi; Zeng, Bei (2021). "Testing a quantum error-correcting code on various platforms". Science Bulletin. 66 (1): 29–35. arXiv:2001.07998. Bibcode:2021SciBu..66...29G. doi:10.1016/j.scib.2020.07.033. PMID 36654309. S2CID 210861230.

Erhard, Alexander; Poulsen Nautrup, Hendrik; Meth, Michael; Postler, Lukas; Stricker, Roman; Stadler, Martin; Negnevitsky, Vlad; Ringbauer, Martin; Schindler, Philipp; Briegel, Hans J.; Blatt, Rainer; Friis, Nicolai; Monz, Thomas (2021-01-13). "Entangling logical qubits with lattice surgery". Nature. 589 (7841): 220–224. arXiv:2006.03071. Bibcode:2021Natur.589..220E. doi:10.1038/s41586-020-03079-6. ISSN 1476-4687. PMID 33442044. S2CID 219401398.

Postler, Lukas; Heußen, Sascha; Pogorelov, Ivan; Rispler, Manuel; Feldker, Thomas; Meth, Michael; Marciniak, Christian D.; Stricker, Roman; Ringbauer, Martin; Blatt, Rainer; Schindler, Philipp; Müller, Markus; Monz, Thomas (2022-05-25). "Demonstration of fault-tolerant universal quantum gate operations". Nature. 605 (7911): 675–680. arXiv:2111.12654. Bibcode:2022Natur.605..675P. doi:10.1038/s41586-022-04721-1. PMID 35614250. S2CID 244527180.

Yu, Xi; et al. (2025). "Schrödinger cat states of a nuclear spin qudit in silicon". Nature Physics. arXiv:2405.15494. doi:10.1038/s41567-024-02745-0.

Ahsan, Muhammad; Naqvi, Syed Abbas Zilqurnain; Anwer, Haider (2022-02-18). "Quantum circuit engineering for correcting coherent noise". Physical Review A. 105 (2): 022428. arXiv:2109.03533. Bibcode:2022PhRvA.105b2428A. doi:10.1103/physreva.105.022428. ISSN 2469-9926. S2CID 237442177.

doi.org

Shor, Peter W. (1995). "Scheme for reducing decoherence in quantum computer memory". Physical Review A. 52 (4): R2493 – R2496. Bibcode:1995PhRvA..52.2493S. doi:10.1103/PhysRevA.52.R2493. PMID 9912632.

Peres, Asher (1985). "Reversible Logic and Quantum Computers". Physical Review A. 32 (6): 3266–3276. Bibcode:1985PhRvA..32.3266P. doi:10.1103/PhysRevA.32.3266. PMID 9896493.

Ofek, Nissim; Petrenko, Andrei; Heeres, Reinier; Reinhold, Philip; Leghtas, Zaki; Vlastakis, Brian; Liu, Yehan; Frunzio, Luigi; Girvin, S. M.; Jiang, L.; Mirrahimi, Mazyar (August 2016). "Extending the lifetime of a quantum bit with error correction in superconducting circuits". Nature. 536 (7617): 441–445. Bibcode:2016Natur.536..441O. doi:10.1038/nature18949. ISSN 0028-0836. PMID 27437573. S2CID 594116.

Kitaev, Alexei (1997-07-31). "Quantum Error Correction with Imperfect Gates". Quantum Communication, Computing, and Measurement. Springer. pp. 181–188. doi:10.1007/978-1-4615-5923-8.

Chiaverini, J.; Leibfried, D.; Schaetz, T.; Barrett, M. D.; Blakestad, R. B.; Britton, J.; Itano, W. M.; Jost, J. D.; Knill, E.; Langer, C.; Ozeri, R.; Wineland, D. J. (2004). "Realization of quantum error correction". Nature. 432 (7017): 602–605. Bibcode:2004Natur.432..602C. doi:10.1038/nature03074. PMID 15577904. S2CID 167898.

Schindler, P.; Barreiro, J. T.; Monz, T.; Nebendahl, V.; Nigg, D.; Chwalla, M.; Hennrich, M.; Blatt, R. (2011). "Experimental Repetitive Quantum Error Correction". Science. 332 (6033): 1059–1061. Bibcode:2011Sci...332.1059S. doi:10.1126/science.1203329. PMID 21617070. S2CID 32268350.

Egan, Laird; Debroy, Dripto M.; Noel, Crystal; Risinger, Andrew; Zhu, Daiwei; Biswas, Debopriyo; Newman, Michael; Li, Muyuan; Brown, Kenneth R.; Cetina, Marko; Monroe, Christopher (2021-10-04). "Fault-tolerant control of an error-corrected qubit". Nature. 598 (7880): 281–286. Bibcode:2021Natur.598..281E. doi:10.1038/s41586-021-03928-y. ISSN 0028-0836. PMID 34608286. S2CID 238357892.

Ball, Philip (2021-12-23). "Real-Time Error Correction for Quantum Computing". Physics. 14. 184. Bibcode:2021PhyOJ..14..184B. doi:10.1103/Physics.14.184. S2CID 245442996.

Google Quantum AI (2023-02-22). "Suppressing quantum errors by scaling a surface code logical qubit". Nature. 614 (7949): 676–681. Bibcode:2023Natur.614..676G. doi:10.1038/s41586-022-05434-1. ISSN 1476-4687. PMC 9946823. PMID 36813892.

Yu, Xi; et al. (2025). "Schrödinger cat states of a nuclear spin qudit in silicon". Nature Physics. arXiv:2405.15494. doi:10.1038/s41567-024-02745-0.

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ui.adsabs.harvard.edu

Peres, Asher (1985). "Reversible Logic and Quantum Computers". Physical Review A. 32 (6): 3266–3276. Bibcode:1985PhRvA..32.3266P. doi:10.1103/PhysRevA.32.3266. PMID 9896493.

Ball, Philip (2021-12-23). "Real-Time Error Correction for Quantum Computing". Physics. 14. 184. Bibcode:2021PhyOJ..14..184B. doi:10.1103/Physics.14.184. S2CID 245442996.

nih.gov

pubmed.ncbi.nlm.nih.gov

Peres, Asher (1985). "Reversible Logic and Quantum Computers". Physical Review A. 32 (6): 3266–3276. Bibcode:1985PhRvA..32.3266P. doi:10.1103/PhysRevA.32.3266. PMID 9896493.

ncbi.nlm.nih.gov

semanticscholar.org

api.semanticscholar.org

Ball, Philip (2021-12-23). "Real-Time Error Correction for Quantum Computing". Physics. 14. 184. Bibcode:2021PhyOJ..14..184B. doi:10.1103/Physics.14.184. S2CID 245442996.

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