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Alexei Kitaev

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Alexei Yurievich Kitaev
Алексей Юрьевич Китаев
Born (1963-08-23) August 23, 1963 (age 62)
Soviet Union
Alma materMoscow Institute of Physics and Technology
Known forKitaev chain
Kitaev spin liquid
Kitaev's periodic table
Toric code
Sachdev–Ye–Kitaev model
Quantum phase estimation
Solovay–Kitaev theorem
Magic state distillation
Gottesman–Kitaev–Preskill code
Quantum threshold theorem
QIP
QMA
Awards
Scientific career
FieldsCondensed matter theory
Quantum computing
InstitutionsCalifornia Institute of Technology
Kavli Institute for Theoretical Physics
Thesis Electronic properties of quasicrystals (Russian: Электронные свойства квазикристаллов)  (1989)
Doctoral advisorValery Pokrovsky

Alexei Yurievich Kitaev (Russian: Алексей Юрьевич Китаев; born August 26, 1963)[1] is a Russian-American theoretical physicist.

He is currently a professor of theoretical physics and mathematics at the California Institute of Technology.[2]

Kitaev has received multiple awards recognizing his contributions to quantum information science and condensed matter physics, particularly in quantum computation and topological phases of matter.

Life

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Kitaev was educated in Russia, graduating from the Moscow Institute of Physics and Technology in 1986,[3] and with a Ph.D. from the Landau Institute for Theoretical Physics under the supervision of Valery Pokrovsky in 1989.[4][3]

Kitaev worked as a research associate at the Landau Institute between 1989 and 1998. Between 1999 and 2001, he served as a researcher at Microsoft Research.[3] Since 2002, Kitaev has been a professor at Caltech.[3]

In 2021, Kitaev was elected into the National Academy of Sciences.[5]

Research

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Quantum computing and complexity

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Kitaev has made contributions to quantum algorithms, quantum complexity classes, and fault-tolerant quantum computation.[6][7][8] He introduced the complexity class QMA (Quantum Merlin–Arthur) and proved that the k-local Hamiltonian problem is QMA-complete, linking ground-state energy problems for local Hamiltonians to questions in computational complexity.[9][10][7]

He introduced the quantum phase estimation algorithm, a general procedure for estimating eigenphases of unitary operators,[11][6][7] and independently proved what is now known as the Solovay–Kitaev theorem, which shows that a universal finite gate set can efficiently approximate arbitrary quantum operations on qubits.[7][12]

He proposed using topological phases of matter and anyons for fault-tolerant quantum computation, introducing the toric code (or surface code) as a paradigmatic error-correcting code. He also contributed to threshold theorems for fault-tolerant codes and co-developed protocols such as the Gottesman–Kitaev–Preskill code and Bravyi–Kitaev magic-state distillation.[13][7][8][14][15]

Topological phases and lattice models

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Kitaev introduced exactly solvable lattice Hamiltonians that realize topologically ordered phases and anyonic excitations in two spatial dimensions. His toric code and related quantum-double models provide toy models realizing anyons and long-range entanglement.[13] His Kitaev honeycomb model is an exactly solvable spin-1/2 model that can realize non-abelian anyons; this model has become a common starting point for the study of "Kitaev quantum spin liquids" in candidate materials.[16][17]

He has also contributed to the classification of topological phases. He related two-dimensional lattice models of topological order to algebraic data describing the anyon types and their braiding, together with a bulk invariant specifying the chiral central charge.[16][18] His "periodic table for topological insulators and superconductors" uses K-theory and Bott periodicity to classify gapped free-fermion phases in different symmetry classes and spatial dimensions,[19] and in two dimensions he proposed the "16-fold way" classification of certain topological superconductors.[20] The so-called state introduced by Kitaev appears as a basic nontrivial 2+1-dimensional invertible phase, and his ideas have been used in generalized-cohomology classifications of symmetry-protected topological phases with symmetry group G.[21][22]

Kitaev has also contributed to the study of quantum chaos and holography through his work on the Sachdev–Ye–Kitaev (SYK) model.[23][24]

Honors and awards

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Year Award Institution Reason
2008 MacArthur Fellows Program MacArthur Foundation Contributions to the field of quantum computing and quantum physics[25]
2012 Breakthrough Prize in Fundamental Physics Breakthrough Prizes Board For the theoretical development of implementing quantum memories and fault-tolerant quantum computation[26]
2015 Dirac Medal (ICTP) International Centre for Theoretical Physics For the interdisciplinary contributions in condensed matter systems and applications of these ideas to quantum computing.[27]
2017 Oliver E. Buckley Prize (with Xiao-Gang Wen) American Physical Society For theories of topological order and its consequences in a broad range of physical systems[28]
2024 Henri Poincaré Prize International Association of Mathematical Physics Contributions to the development of quantum computing, the study of quantum many-body systems and quantum information[29]
2024 Basic Science Lifetime Award International Congress of Basic Science Contributions to the development of quantum computing[30]

Political activism

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In March, 2022, he was one of 78 Breakthrough Prize Laureates whose names appeared on an "open letter" criticizing the Russian invasion of Ukraine.[31]

See also

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References

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  1. ^ Arantes, José Tadeu (2022-10-12). "Study makes spin liquid model more realistic". Agência FAPESP. Archived from the original on 2022-10-12. Retrieved 2025-04-01.
  2. ^ "Alexei Kitaev - Computing + Mathematical Sciences". www.cms.caltech.edu. Archived from the original on 2025-03-01. Retrieved 2025-03-01.
  3. ^ a b c d Neith, Katie (2012-08-01). "Caltech Physicist Wins $3 Million Fundamental Physics Prize". California Institute of Technology. Archived from the original on 2024-09-20. Retrieved 2025-04-01.
  4. ^ "Диссертации, подготовленные или защищенные в ИТФ им. Л.Д. Ландау". www.itp.ac.ru (in Russian). Archived from the original on 2025-01-10. Retrieved 2023-08-29.
  5. ^ "National Academy of Sciences Elects New Members — Including a Record Number of Women — and International Members - NAS". NAS Online. Archived from the original on 2024-11-13. Retrieved 2025-03-01.
  6. ^ a b "PIMS Distinguished Chair Alexei Kitaev receives Fundamental Physics Prize". Pacific Institute for the Mathematical Sciences. 21 August 2012. Retrieved 24 November 2025.
  7. ^ a b c d e Nachtergaele, Bruno (2024). "2024 Henri Poincaré Prize Laudatio: Alexei Kitaev" (PDF). International Association of Mathematical Physics. Retrieved 24 November 2025.
  8. ^ a b "Alexei Kitaev". Computing + Mathematical Sciences, California Institute for the Mathematical Sciences. Retrieved 24 November 2025.
  9. ^ Aharonov, Dorit; Naveh, Tomer (2002). "Quantum NP – A Survey". arXiv preprint quant-ph/0210077.
  10. ^ Kempe, Julia (2007). "The Complexity of the Local Hamiltonian Problem". Quantum Information & Computation. 7 (1): 1–50. arXiv:quant-ph/0406180.
  11. ^ Kitaev, A. Yu. (1995). "Quantum measurements and the Abelian stabilizer problem". arXiv preprint quant-ph/9511026.
  12. ^ Dawson, Christopher M.; Nielsen, Michael A. (2006). "The Solovay–Kitaev algorithm". Quantum Information & Computation. 6 (1): 81–95. arXiv:quant-ph/0505030.
  13. ^ a b Kitaev, A. Yu. (2003). "Fault-tolerant quantum computation by anyons". Annals of Physics. 303 (1): 2–30. arXiv:quant-ph/9707021. doi:10.1016/S0003-4916(02)00018-0.
  14. ^ Gottesman, Daniel; Kitaev, Alexei; Preskill, John (2001). "Encoding a qubit in an oscillator". Physical Review A. 64 (1) 012310. arXiv:quant-ph/0008040. doi:10.1103/PhysRevA.64.012310.
  15. ^ Bravyi, Sergey; Kitaev, Alexei (2005). "Universal quantum computation with ideal Clifford gates and noisy ancillas". Physical Review A. 71 (2) 022316. arXiv:quant-ph/0403025. doi:10.1103/PhysRevA.71.022316.
  16. ^ a b Kitaev, A. Yu. (2006). "Anyons in an exactly solved model and beyond". Annals of Physics. 321 (1): 2–111. arXiv:cond-mat/0506438. doi:10.1016/j.aop.2005.10.005.
  17. ^ Takagi, Hidenori; Takayama, Tomohiro; Jackeli, George; Khaliullin, Giniyat; Nagler, Stephen E. (2019). "Concept and realization of Kitaev quantum spin liquids". Nature Reviews Physics. 1 (4): 264–280. doi:10.1038/s42254-019-0038-2.
  18. ^ Ai, Yinghua; Kong, Liang; Zheng, Hao (2017). "Topological orders and factorization homology". Advances in Theoretical and Mathematical Physics. 21 (8): 1845–1894. arXiv:1607.08422. doi:10.4310/ATMP.2017.v21.n8.a1.
  19. ^ Kitaev, Alexei (2009). "Periodic table for topological insulators and superconductors". AIP Conference Proceedings. 1134 (1): 22–30. arXiv:0901.2686. doi:10.1063/1.3149495.
  20. ^ Bruillard, Paul; Galindo, César; Hagge, Tobias; Ng, Siu-Hung; Plavnik, Julia Yael; Rowell, Eric C.; Wang, Zhenghan (2017). "Fermionic modular categories and the 16-fold way". Journal of Mathematical Physics. 58 (4): 041704. arXiv:1603.09294. doi:10.1063/1.4982048.
  21. ^ Gaiotto, Davide; Johnson-Freyd, Theo (2019). "Symmetry protected topological phases and generalized cohomology". Journal of High Energy Physics. 2019 (5): 007. arXiv:1712.07950. doi:10.1007/JHEP05(2019)007.
  22. ^ Xiong, Charles Zhaoxi (2019). Classification and Construction of Topological Phases of Quantum Matter (PhD thesis). Harvard University. arXiv:1906.02892.
  23. ^ Maldacena, Juan; Stanford, Douglas (2016). "Remarks on the Sachdev–Ye–Kitaev model". Physical Review D. 94 (10) 106002. arXiv:1604.07818. doi:10.1103/PhysRevD.94.106002.
  24. ^ Rosenhaus, Vladimir (2019). "An introduction to the SYK model". Journal of Physics A: Mathematical and Theoretical. 52 (32): 323001. arXiv:1807.03334. doi:10.1088/1751-8121/ab2ce1.
  25. ^ "Alexei Kitaev". www.macfound.org. Archived from the original on 2024-04-21. Retrieved 2025-03-01.
  26. ^ "Breakthrough Prize – Fundamental Physics Breakthrough Prize Laureates – Alexei Kitaev". breakthroughprize.org. Archived from the original on 2025-01-10. Retrieved 2025-03-01.
  27. ^ "Dirac Medallists 2015 | ICTP". www.ictp.it. Archived from the original on 2024-12-13. Retrieved 2025-03-01.
  28. ^ "Oliver E. Buckley Condensed Matter Physics Prize". American Physical Society. Archived from the original on 2025-03-29. Retrieved 2025-04-01.
  29. ^ Nachtergaele, Bruno. "2024 Henri Poincare' Prize Laudatio Kitaev" (PDF). International Association of Mathematical Physics. Archived (PDF) from the original on 2024-11-07. Retrieved 2025-03-01.
  30. ^ "Edward Witten Receives Basic Science Lifetime Award in Theoretical Physics - IAS News | Institute for Advanced Study". www.ias.edu. 2024-07-10. Archived from the original on 2024-10-04. Retrieved 2025-02-11.
  31. ^ "Breakthrough Prize – An Open Letter From Breakthrough Prize Laureates". breakthroughprize.org. Archived from the original on 2025-01-18. Retrieved 2025-03-01.
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