Институт теоретической физики им. Л.Д. Ландау


Российской академии наук

Алексей Юрьевич Китаев

Старший научный сотрудник (ассоциированный)

Кандидат физ.-мат. наук

Публикации

    1. X. Mi, M. Ippoliti, C. Quintana, A. Greene, Z. Chen, J. Gross, F. Arute, K. Arya, J. Atalaya, R. Babbush, J.C. Bardin, J. Basso, A. Bengtsson, A. Bilmes, A. Bourassa, L. Brill, M. Broughton, B.B. Buckley, D.A. Buell, B. Burkett, N. Bushnell, B. Chiaro, R. Collins, W. Courtney, D. Debroy, S. Demura, A.R. Derk, A. Dunsworth, D. Eppens, C. Erickson, E. Farhi, A.G. Fowler, B. Foxen, C. Gidney, M. Giustina, M.P. Harrigan, S.D. Harrington, J. Hilton, A. Ho, S. Hong, T. Huang, A. Huff, W.J. Huggins, L.B. Ioffe, S.V. Isakov, J. Iveland, E. Jeffrey, Z. Jiang, C. Jones, D. Kafri, T. Khattar, S. Kim, A. Kitaev, P.V. Klimov, A.N. Korotkov, F. Kostritsa, D. Landhuis, P. Laptev, J. Lee, K.Lee, A. Locharla, E. Lucero, O. Martin, J.R. McClean, T. McCourt, M. McEwen, K.C. Miao, M. Mohseni, S. Montazeri, W. Mruczkiewicz, O. Naaman, M. Neeley, C. Neill, M.Newman, M.Y. Niu, T.E. O’Brien, A. Opremcak, E. Ostby, B. Pato, A. Petukhov, N.C. Rubin, D. Sank, K.J. Satzinger, V. Shvarts, Y. Su, D. Strain, M. Szalay, M.D. Trevithick, B., Time-crystalline eigenstate order on a quantum processor, Nature, 601(7894), 531-536 (2022).
    2. Google Quantum AI: Z. Chen, K.J. Satzinger, J. Atalaya, A.N. Korotkov, A. Dunsworth, D. Sank, C. Quintana, M. McEwen, R. Barends, P.V. Klimov, S. Hong, C. Jones, A. Petukhov, D. Kafri, S. Demura, Brian Burkett, C. Gidney, A.G. Fowler, A. Paler, H. Putterman, I. Aleiner, F. Arute, K. Arya1, R. Babbush, J.C. Bardin, A. Bengtsson, A. Bourassa, M. Broughton, B.B. Buckley, D.A. Buell, N/ Bushnell, B. Chiaro, R. Collins, W. Courtney, A.R. Derk, D. Eppens, C. Erickson, E. Farhi, B. Foxen, M. Giustina, A. Greene, J.A. Gross, M.P. Harrigan, S.D. Harrington, J. Hilton, A. Ho, T. Huang, W.J. Huggins, L.B. Ioffe, S.V. Isakov, E. Jeffrey, Z. Jiang, K. Kechedzhi, S. Kim, A. Kitaev, F. Kostritsa, D. Landhuis, P. Laptev, E. Lucero, O. Martin, J.R. McClean, T. McCourt, X. Mi, K.C. Miao, M. Mohseni, S. Montazeri, W. Mruczkiewicz, J, Mutus, O. Naaman, M. Neeley, C. Neill, M. Newman, M.Y. Niu, T.E. O’Brien, A. Opremcak, E. Ostby, B. Pató, N. Redd, P. Roushan, N.C. Rubin, V. Shvarts, D. Strain, M. Szalay, M.D. Trevithick, B. Vil, Exponential suppression of bit or phase errors with cyclic error correction, Nature, 595(7867), 383-387 (2021).
    3. F. Burnell, X. Chen, A. Kitaev, M. Metlitski, A. Vishwanath, Time reversal invariant gapped boundaries of the double semion state, Phys. Rev. B 93, 235161 (2016); arXiv:1509.00355, WoS: 000378815500001, Scopus: 2-s2.0-84976549264, ADS: 2016PhRvB..93w5161B.
    4. P. Brooks, A. Kitaev, J. Preskill, Protected gates for superconducting qubits, Phys. Rev. A 87, 052306 (2013); arXiv:1302.4122, WoS: 000318471400005, Scopus: 2-s2.0-84877629094, ADS: 2013PhRvA..87e2306B, РИНЦ: 20896321.
    5. I. Arad, A. Kitaev, Z. Landau, U. Vazirani, An area law and sub-exponential algorithm for 1D systems, arXiv:1301.1162, ADS: 2013arXiv1301.1162A.
    6. A. Kitaev, L. Kong, Models for gapped boundaries and domain walls, Commun. Math. Phys. 313(2), 351-373 (2012); arXiv:1104.5047, WoS: 000305678600003, Scopus: 2-s2.0-84862844227, ADS: 2012CMaPh.313..351K, РИНЦ: 31747607.
    7. L. Faoro, L. Ioffe, A. Kitaev, Dissipationless dynamics of randomly coupled spins at high temperatures, Phys. Rev. B 86, 134414 (2012); arXiv:1112.3855, WoS: 000309809600004, Scopus: 2-s2.0-84867538005, ADS: 2012PhRvB..86m4414F, РИНЦ: 24607549.
    8. M.T. Bell, I.A. Sadovskyy, L.B. Ioffe, A.Yu. Kitaev, M.E. Gershenson, Quantum superinductor with tunable nonlinearity, Phys. Rev. Lett. 109, 137003 (2012); arXiv:1206.0307, WoS: 000309351200019, Scopus: 2-s2.0-84866978002, ADS: 2012PhRvL.109m7003B, РИНЦ: 20535814.
    9. A. Kitaev, Zh. Wang, Solutions to generalized Yang-Baxter equations via ribbon fusion categories, Geometry & Topology Monographs 18, 191–197 (2012); arXiv:1203.1063.
    10. L. Fidkowski, A. Kitaev, Topological phases of fermions in one dimension, Phys. Rev. B 83, 075103 (2011); arXiv:1008.4138, WoS: 000287077700002, Scopus: 2-s2.0-79961067002, ADS: 2011PhRvB..83g5103F, РИНЦ: -.
    11. K.S. Tikhonov, M.V. Feigel’man, A.Yu. Kitaev, Power-Law Spin Correlations in a Perturbed Spin Model on a Honeycomb Lattice, Phys. Rev. Lett. 106, 067203 (2011) [4 pages]; arXiv:1008.4106, WoS: 000287357100021, Scopus: 2-s2.0-79951542789, ADS: 2011PhRvL.106f7203T, РИНЦ: 16990463.
    12. I.S. Tupitsyn, A. Kitaev, N.V. Prokof’ev, P.C.E. Stamp, Topological multicritical point in the phase diagram of the toric code model and three-dimensional lattice gauge Higgs model, Phys. Rev. B 82, 085114 (2010); arXiv:0804.3175, WoS: 000280963300003, Scopus: 2-s2.0-77957572506, ADS: 2010PhRvB..82h5114T, РИНЦ: -.
    13. A. Kitaev, C. Laumann, Topological phases and quantum computations, Exact Methods in Low-Dimensional Statistical Physics and Quantum Computing, Chap. 4, 101-125 (2010). Ed. by J. Jacobsen et al., Oxford Univ. Press, 2010, xxvi, 624 pp. ISBN 978-0-19-957461-2 [Ecole d’ete de Physique des Houches, Session LXXXIX, 30 June - 1 August 2008, Ecole thematique de CNRS]; arXiv:0904.2771, ADS: 2009arXiv0904.2771K.
    14. Ch. Gils, S. Trebst, A. Kitaev, A.W.W. Ludwig, M. Troyer, Zh. Wang, Topology driven quantum phase transitions in time-reversal invariant anyonic quantum liquids, Nature Physics 5, 834-839 (2009); arXiv:0906.1579, WoS: 000271895500019, Scopus: 2-s2.0-70449535902, ADS: 2009NatPh...5..834G, РИНЦ: 15466910.
    15. L. Fidkowski, A. Kitaev, Effects of interactions on the topological classification of free fermion systems, Phys. Rev. B 81, 134509 (2009); arXiv:0904.2197, WoS: 000277207900084, Scopus: 2-s2.0-77955218335, ADS: 2010PhRvB..81m4509F, РИНЦ: -.
    16. A. Kitaev, Periodic table for topological insulators and superconductors, AIP Conf. Proc., 1134, 22-30 (2009); arXiv:0901.2686, WoS: 000268615300003, Scopus: 2-s2.0-65649108305, ADS: 2009AIPC.1134...22K, InSpire: 811262, РИНЦ: -.
    17. L. Faoro, A. Kitaev, L.B. Ioffe, Quasiparticle poisoning and Josephson current fluctuations induced by Kondo impurities, Phys. Rev. Lett. 101, 247002 (2008) [4 pages]; arXiv:0801.3919, WoS: 000261704100054, Scopus: 2-s2.0-57749094040, ADS: 2008PhRvL.101x7002F, РИНЦ: 14846009.
    18. A. Kitaev, W.A. Webb, Wavefunction preparation and resampling using a quantum computer, arXiv:0801.0342, ADS: 2008arXiv0801.0342K.
    19. D.E. Feldman, Y. Gefen, A. Kitaev, K.T. Law, A. Stern, Shot noise in an anyonic Mach-Zehnder interferometer, Phys. Rev. B 76, 085333 (2007) [9 pages]; cond-mat/0612608, WoS: 000249155400085, Scopus: 2-s2.0-34548164115, ADS: 2007PhRvB..76h5333F, РИНЦ: 31385102.
    20. A. Feiguin, S. Trebst, A.W.W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, M.H. Freedman, Interacting anyons in topological quantum liquids: The golden chain, Phys. Rev. Lett. 98, 160409 (2007); cond-mat/0612341, WoS: 000245871200010, Scopus: 2-s2.0-34247371753, ADS: 2007PhRvL..98p0409F, InSpire: 1474463, РИНЦ: 31367892.
    21. A. Kitaev, G.W. Moore, K. Walker, Noncommuting Flux Sectors in a Tabletop Experiment, arXiv:0706.3410, ADS: 2007arXiv0706.3410K, InSpire: 753759.
    22. A. Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics, 321 (1), 2-111 (2006); cond-mat/0506438, WoS: 000235112400002, Scopus: 2-s2.0-30444456387, ADS: 2006AnPhy.321....2K, InSpire: 1236701, РИНЦ: 14475704, MathSciNet: 2200691, zbMath: 1125.82009.
    23. P. Bonderson, A. Kitaev, K. Shtengel, Detecting non-Abelian statistics in the ν=5/2 fractional quantum Hall state, Phys. Rev. Lett. 96, 016803 (2006); cond-mat/0508616, WoS: 000234608300073, Scopus: 2-s2.0-32644462561, ADS: 2006PhRvL..96a6803B.
    24. D. Aharonov, A. Kitaev, J. Preskill, Fault-tolerant quantum computation with long-range correlated noise, Phys. Rev. Lett. 96, 050504 (2006); quant-ph/0510231, WoS: 000235252200009, Scopus: 2-s2.0-33144474526, ADS: 2006PhRvL..96e0504A, РИНЦ: -.
    25. A. Kitaev, J. Preskill, Topological entanglement entropy, Phys. Rev. Lett. 96, 110404 (2006); hep-th/0510092, WoS: 000236249900004, Scopus: 2-s2.0-33645151438, ADS: 2006PhRvL..96k0404K, InSpire: 694896, РИНЦ: -, MathSciNet: 2214523, zbMath: -.
    26. D.E. Feldman, A. Kitaev, Detecting non-abelian statistics with an electronic Mach-Zehnder interferometer, Phys. Rev. Lett. 97, 186803 (2006); cond-mat/0607541, WoS: 000241757600051, Scopus: 2-s2.0-33750597621, ADS: 2006PhRvL..97r6803F, РИНЦ: -.
    27. J. Kempe, A. Kitaev, O. Regev, The Complexity of the Local Hamiltonian Problem, SIAM J. Comput., 35(5), 1070-1097 (2006); quant-ph/0406180, WoS: 000236805200004, Scopus: 2-s2.0-33750165209, ADS: 2004quant.ph..6180K, РИНЦ: 14729420.
    28. A. Kitaev, Protected qubit based on a superconducting current mirror, cond-mat/0609441, ADS: 2006cond.mat..9441K.
    29. M.H. Freedman, A. Kitaev, C. Nayak, J. Slingerland, K. Walker, Z. Wang, Universal manifold pairings and positivity, Geom. Topol., 9(4), 2303-2317 (2005); math/0503054, WoS: 000233950400004, Scopus: 2-s2.0-29144497241, ADS: 2005math......3054F, InSpire: 1835188, РИНЦ: -, MathSciNet: 2209373, zbMath: 1129.57035.
    30. S. Bravyi, A. Kitaev, Universal quantum computation with ideal Clifford gates and noisy ancillas, Phys. Rev. A 71, 022316 (2005) [14 pages]; quant-ph/0403025, WoS: 000227483900040, Scopus: 2-s2.0-33344456520, ADS: 2005PhRvA..71b2316B, РИНЦ: 14421614.
    31. J. Kempe, A. Kitaev, O. Regev, The complexity of the local Hamiltonian problem, Lect. Notes Comp. Sci., 3328, 372-383 (2004) [FSTTCS 2004: Foundations of Software Technology and Theoretical Computer Science. 24th Int. Conf., Chennai, India, December 16-18, 2004], WoS: 000226647800031, Scopus: 2-s2.0-34147163913, zbMath: 1117.68378.
    32. A. Kitaev, D. Mayers, J. Preskill, Superselection rules and quantum protocols, Phys. Rev. A 69, 052326 (2004) [20 pages]; quant-ph/0310088, WoS: 000221813700064, Scopus: 2-s2.0-4644262234, ADS: 2004PhRvA..69e2326K, InSpire: 630654, РИНЦ: 14461830, MathSciNet: 2070235.
    33. A.Yu. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics, 303 (1), 2-30 (2003); quant-ph/9707021, WoS: 000180638400001, Scopus: 2-s2.0-0037268624, ADS: 2003AnPhy.303....2K, InSpire: 445447, MathSciNet: 1951039 , zbMath: 1012.81006.
    34. M.H. Freedman, A. Kitaev, M.J. Larsen, Z. Wang, Topological Quantum Computation, Bull. Amer. Math. Soc. (N.S.), 40(1), 31-38 (2003) [Mathematical challenges of the 21st century. Papers from the meeting held at the University of California, Los Angeles, Aug. 2000]; quant-ph/0101025, WoS: 000180136200004, Scopus: 2-s2.0-0037220758, ADS: 2001quant.ph..1025F, РИНЦ: 13442572, MathSciNet: 1943131, zbMath: 1019.81008.
    35. M.H. Freedman, A. Kitaev, J. Lurie, Diameters of Homogeneous Spaces, Math. Res. Lett., 10(1), 11-20 (2003); quant-ph/0209113, WoS: 000181880200002, Scopus: 2-s2.0-0037256649, ADS: 2002quant.ph..9113F, РИНЦ: -, MathSciNet: 1960119, zbMath: 1029.​22031.
    36. G. Vidal, J.I. Latorre, E. Rico, A. Kitaev, Entanglement in quantum critical phenomena, Phys. Rev. Lett. 90, 227902 (2003); quant-ph/0211074, WoS: 000183381200042, Scopus: 2-s2.0-85038288000, ADS: 2003PhRvL..90v7902V, InSpire: 602110, РИНЦ: -.
    37. S.B. Bravyi, A.Yu. Kitaev, Fermionic quantum computation, Annals of Physics, 298 (1), 210-226 (2002); quant-ph/0003137, WoS: 000176423500008, Scopus: 2-s2.0-0037172441, ADS: 2002AnPhy.298..210B, РИНЦ: 13396233, MathSciNet: 1910092, zbMath: 0995.81012.
    38. M.H. Freedman, A. Kitaev, Z. Wang, Simulation of topological field theories by quantum computers, Commun. Math. Phys., 227 (3), 587-603 (2002); quant-ph/0001071, WoS: 000176784600007, Scopus: 2-s2.0-0035998071, ADS: 2002CMaPh.227..587F, InSpire: 523234, РИНЦ: 13412566, MathSciNet: 1910832, zbMath: 1014.81006.
    39. E. Dennis, A. Kitaev, A. Landahl, J. Preskill, Topological quantum memory, J. Math. Phys., 43 (9), 4452-4505 (2002); quant-ph/0110143, WoS: 000177556600019, Scopus: 2-s2.0-0035981729, ADS: 2002JMP....43.4452D, InSpire: 565014, РИНЦ: -, MathSciNet: 1924451, zbMath: 1060.94045.
    40. D. Beckman, D. Gottesman, A. Kitaev, J. Preskill, Measurability of Wilson loop operators, Phys. Rev. D 65, 065022 (2002) [16 pages]; hep-th/0110205, WoS: 000174548100096, Scopus: 2-s2.0-3543011025, ADS: 2002PhRvD..65f5022B, InSpire: 564780, РИНЦ: -, MathSciNet: 1918488.
    41. A.Yu. Kitaev, A.H. Shen, M.N. Vyalyi, Classical and quantum computation, Providence, RI: AMS, American Mathematical Society. xiii, 257 pp. (2002). ISBN 0-8218-2161-X [Graduate Studies in Mathematics, 47], MathSciNet: 1907291, zbMath: 1022.68001.
    42. M. Freedman, A. Kitaev, J. Lurie, Diameters of Homogeneous Spaces, quant-ph/0209113, ADS: 2002quant.ph..9113F.
    43. D. Gottesman, A. Kitaev, J. Preskill, Encoding a qubit in an oscillator, Phys. Rev. A 64, 012310 (2001) [21 pages]; quant-ph/0008040, WoS: 000169711400029, Scopus: 2-s2.0-0035396049, ADS: 2001PhRvA..64a2310G, InSpire: 531544, РИНЦ: -.
    44. A.Yu. Kitaev, Unpaired Majorana fermions in quantum wires, Успехи физ. наук, 171(10), (Suppl.) 131-136 (2001) [Phys.-Usp. 44 Supplement 131-136 (2001)]; cond-mat/0010440, ADS: 2001PhyU...44..131K, InSpire: 1236700.
    45. A. Kitaev, J. Watrous, Parallelization, amplification, and exponential time simulation of quantum interactive proof systems, Proc. 32nd ACM Symposium on Theory of Computing (STOC'00), Portland, OR, May 21-23, 2000, pp.608-617 (2000), Scopus: 2-s2.0-0033720106, РИНЦ: 43190350, MathSciNet: 2115299, zbMath: 1296.68057.
    46. A.Yu. Kitaev, Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness, Nonlinearity, 12 (1), 141-179 (1999) [Corrigendum - ibid, 12(6), 1717-1719 (1999)], WoS: 000078449500008, Scopus: 2-s2.0-0032623269, ADS: 1999Nonli..12..141K, РИНЦ: 13316699, MathSciNet: 1668543, zbMath: 0917.58029.
    47. А. Китаев, А. Шень, М. Вялый, Классические и квантовые вычисления, М.: МЦНМО, 1999 - 192 с. ISBN: 5-900916-35-9.
    48. D. Aharonov, A. Kitaev, N. Nisan, Quantum circuits with mixed states, Proc. 30th Annual ACM Symposium on Theory of Computing, Dallas, TX, May 24-26, 1998 (STOC '98), pp. 20–30 (1998); quant-ph/9806029, ADS: 1998quant.ph..6029A, InSpire: 471551, MathSciNet: 1731558, zbMath: 1028.68054.
    49. S.B. Bravyi, A.Yu. Kitaev, Quantum codes on a lattice with boundary, quant-ph/9811052, ADS: 1998quant.ph.11052B, InSpire: 479737.
    50. А.Ю. Китаев, Квантовые вычисления: алгоритмы и исправление ошибок, Успехи мат. наук, 52:6(318), 53–112 (1997) [A.Y. Kitaev, Quantum computations: algorithms and error correction, Russ. Math. Surv., 52(6), 1191-1249 (1997)], WoS: 000074185000002, Scopus: 2-s2.0-0040052002, ADS: 1997RuMaS..52.1191K, MathSciNet: 1611329, zbMath: 0917.68063.
    51. A.Y. Kitaev, Quantum error correction with imperfect gates, In: Quantum Communication, Computing, and Measurement, 181-188 (1997). Ed. by O. Hirota, A.S. Holevo, C.M. Caves. Plenum Press, 1997, xii, 546 pp. ISBN 978-1-4615-5923-8 [Proc. 3rd International Conference on Quantum Communication and Measurement, Sep. 25-30, 1996, Shizuoka, Japan], WoS: A1997BJ17Z00018.
    52. V. Baladi, A. Kitaev, D. Ruelle, S. Semmes, Sharp determinants and kneading operators for holomorphic maps, Тр. МИАН, 216 (Динамические системы и смежные вопросы, Сб. статей. К 60-летию со дня рождения акад. Дмитрия Викторовича Аносова), 193-235 (1997) [Proc. Steklov Inst. Math., 216, 186-228 (1997)], MathSciNet: 1632153, zbMath: 0919.58008.
    53. А.Ю. Китаев, Квантовые вычисления, Успехи физ. наук, 166 (8), 902 (1996) [A.Yu. Kitaev, Quantum calculations, Phys. Usp., 39(8), 843-844 (1996)].
    54. A.Yu. Kitaev, Quantum measurements and the Abelian Stabilizer Problem, quant-ph/9511026, ADS: 1995quant.ph.11026K, InSpire: 402505.
    55. N. Argaman, F.-M. Dittes, E. Doron, J.P. Keating, A.Yu. Kitaev, M. Sieber, U. Smilansky, Correlations in the actions of periodic orbits derived from quantum chaos, Phys. Rev. Lett. 71(26), 4326-4329 (1993), WoS: A1993MN94400012, Scopus: 2-s2.0-5544295015, ADS: 1993PhRvL..71.4326A.
    56. A.Yu. Kitaev, Information transfer in the lattice gas on random lattices, J. Phys. I France, 1 (8), 1123-1130 (1991), WoS: A1991FY54800005.
    57. А.Ю. Китаев, О приближенном вычислении высоты максимального верхнего нуля монотонной булевой функции, Матем. заметки, 50(1), 41-45 (1991) [A.Yu. Kitaev, Approximative evaluation of the height of the maximal upper zero of a monotone Boolean function, Math. Notes, 50(1), 687-690 (1991)], WoS: A1991HK92100005, Scopus: 2-s2.0-34249833530, MathSciNet: 1140350, zbMath: 0735.94013.
    58. А.Ю. Китаев, Л.С. Левитов, Сверхпроводимость квазипериодических слоистых структур, ЖЭТФ, 95 (1), 311-321 (1989) [A.Yu. Kitaev, L.S. Levitov, Superconductivity of quasiperiodic layer structures, Sov. Phys. JETP 68(1), 176-181 (1989)], WoS: A1989T174900030.
    59. А.Ю. Китаев, Об электронных свойствах трехмерного квазикристалла со слабым потенциалом, Письма в ЖЭТФ, 48 (5), 270-272 (1988) [A.Yu. Kitaev, Electronic properties of a 3D quasicrystal with a weak potential, JETP Lett., 48 (5), 298-301 (1988)], WoS: A1988T486500013.
    60. А.Ю. Китаев, Л.С. Левитов, Сверхпроводимость квазипериодических слоистых структур, Письма в ЖЭТФ, 45 (1), 52-55 (1987) [A.Yu. Kitaev, L.S. Levitov, Superconductivity of quasiperiodic layered structures, JETP Lett., 45 (1), 66-70 (1987)], WoS: A1987H743700020.
    61. П.А. Калугин, А.Ю. Китаев, Л.С. Левитов, Электронный спектр одномерного квазикристалла, ЖЭТФ, 91 (2), 692-701 (1986) [P.A. Kalugin, A.Yu. Kitaev, L.S. Levitov, Electron spectrum of a one-dimensional quasicrystal, Sov. Phys. JETP 64(2), 410-415 (1986)], WoS: A1986D895000034.
    62. П.А. Калугин, А.Ю. Китаев, Л.С. Левитов, Al0. 86Mn0. 14 - шестимерный кристалл, Письма в ЖЭТФ, 41 (3), 119-121 (1985) [P.A. Kalugin, A.Yu. Kitaev, L.S. Levitov, Al0. 86Mn0. 14: a six-dimensional crystal, JETP Lett., 41 (3), 145-149 (1985)], WoS: A1985AJC1500014.