Russian Academy of Sciences

Landau Institute for Theoretical Physics

Alexey Yu. Kitaev

Senior researcher (associated)

Ph. D.

Publications

    1. 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.
    2. P. Brooks, A. Kitaev, J. Preskill, Protected gates for superconducting qubits, Phys. Rev. A 87, 052306 (2013); arXiv:1302.4122, WoS: 000318471400005.
    3. P. Brooks, A. Kitaev, J. Preskill, Protected gates for superconducting qubits, Phys. Rev. A 87, 052306 (2013); arXiv:1302.4122, WoS: 000318471400005.
    4. I. Arad, A. Kitaev, Z. Landau, U. Vazirani, An area law and sub-exponential algorithm for 1D systems, arXiv:1301.1162.
    5. A. Kitaev, L. Kong, Models for gapped boundaries and domain walls, Commun. Math. Phys. 313(2), 351-373 (2012); arXiv:1104.5047, WoS: 000305678600003.
    6. 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.
    7. 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.
    8. A. Kitaev, Zh. Wang, Solutions to generalized Yang-Baxter equations via ribbon fusion categories, Geometry & Topology Monographs 18, 191–197 (2012); arXiv:1203.1063.
    9. L. Fidkowski, A. Kitaev, Topological phases of fermions in one dimension, Phys. Rev. B 83, 075103 (2011); arXiv:1008.4138, WoS: 000287077700002.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. A. Kitaev, Periodic table for topological insulators and superconductors, AIP Conf. Proc., 1134, 22-30 (2009); arXiv:0901.2686, WoS: 000268615300003.
    16. 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.
    17. A.Kitaev, W.A. Webb, Wavefunction preparation and resampling using a quantum computer, arXiv:0801.0342.
    18. D.E. Feldman, Y. Gefen, A. Kitaev, K.T. Law, A. Stern, Shot Noise in Anyonic Mach-Zehnder Interferometer, Phys. Rev. B 76, 085333 (2007) [9 pages]; cond-mat/0612608, WoS: 000249155400085.
    19. 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.
    20. A. Kitaev, G.W. Moore, K. Walker, Noncommuting Flux Sectors in a Tabletop Experiment, arXiv:0706.3410.
    21. A. Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics, 321 (1), 2-111 (2006); cond-mat/0506438, WoS: 000235112400002.
    22. 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.
    23. 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.
    24. A. Kitaev, J. Preskill, Topological entanglement entropy, Phys. Rev. Lett. 96, 110404 (2006); hep-th/0510092, WoS: 000236249900004.
    25. 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.
    26. 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.
    27. A. Kitaev, Protected qubit based on a superconducting current mirror, cond-mat/0609441.
    28. M.H. Freedman, A. Kitaev, C. Nayak, J. Slingerland, K. Walker, Z. Wang, Universal manifold pairings and positivity, Geom. Topol., 9, 2303-2317 (2005); math/0503054, WoS: 000233950400004.
    29. 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.
    30. 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.
    31. A. Kitaev, D. Mayers, J. Preskill, Superselection rules and quantum protocols, Phys. Rev. A 69, 052326 (2004) [20 pages]; quant-ph/0310088, WoS: 000221813700064.
    32. A.Yu. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics, 303 (1), 2-30 (2003); quant-ph/9707021, WoS: 000180638400001.
    33. M.H. Freedman, A. Kitaev, M.J. Larsen, Z. Wang, Topological quantum computation, Bull. Amer. Math. Soc., New Ser., 40(1), 31-38 (2003), WoS: 000180136200004.
    34. M.H. Freedman, A. Kitaev, J. Lurie, Diameters of Homogeneous Spaces, Math. Res. Lett., 10(1), 11-20 (2003), WoS: 000181880200002.
    35. 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.
    36. S.B. Bravyi, A.Yu. Kitaev, Fermionic quantum computation, Annals of Physics, 298 (1), 210-226 (2002); quant-ph/0003137, WoS: 000176423500008.
    37. 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.
    38. E. Dennis, A. Kitaev, A. Landahl, J. Preskill, Topological quantum memory, J. Math. Phys., 43 (9), 4452-4505 (2002); quant-ph/0110143, WoS: 000177556600019.
    39. 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.
    40. 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].
    41. M. Freedman, A. Kitaev, J. Lurie, Diameters of Homogeneous Spaces, quant-ph/0209113.
    42. 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.
    43. A.Yu. Kitaev, Unpaired Majorana fermions in quantum wires, Uspekhi fiz. nauk, 171(10), (Suppl.) 131-136 (2001) [Phys.-Usp. 44 Supplement 131-136 (2001)]; cond-mat/0010440.
    44. M.H. Freedman, A. Kitaev, M.J. Larsen, Z. Wang, Topological Quantum Computation, quant-ph/0101025.
    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), 608-617 (2000).
    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.
    47. A. Kitaev, A. Shen’, M. Vyalyi, Klassicheskie i kvantovye vychisleniya, M.: MTsNMO, 1999 - 192 s. ISBN: 5-900916-35-9.
    48. D. Aharonov, A. Kitaev, N. Nisan, Quantum Circuits With Mixed States, Proc. 39th Annual ACM Symposium on the Foundation of Computer Science (STOC'98), Dallas, TX, USA, May 23-26, 1998. pp. 20-30, 1998; quant-ph/9806029.
    49. S.B. Bravyi, A.Yu. Kitaev, Quantum codes on a lattice with boundary, quant-ph/9811052.
    50. A.Yu. Kitaev, Kvantovye vychisleniya: algoritmy i ispravlenie oshibok, Uspekhi mat. nauk, 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.
    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. A.Yu. Kitaev, Kvantovye vychisleniya, Uspekhi fiz. nauk, 166 (8), 902 (1996) [A.Yu. Kitaev, Quantum calculations, Phys. Usp., 39(8), 843-844 (1996)].
    53. A.Yu. Kitaev, Quantum measurements and the Abelian Stabilizer Problem, quant-ph/9511026.
    54. 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.
    55. A.Yu. Kitaev, Information transfer in the lattice gas on random lattices, J. Phys. I France, 1 (8), 1123-1130 (1991), WoS: A1991FY54800005.
    56. A.Yu. Kitaev, O priblizhennom vychislenii vysoty maksimal’nogo verkhnego nulya monotonnoi bulevoi funktsii, Matem. zametki, 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.
    57. A.Yu. Kitaev, L.S. Levitov, Sverkhprovodimost’ kvaziperiodicheskikh sloistykh struktur, ZhETF, 95 (1), 311-321 (1989) [A.Yu. Kitaev, L.S. Levitov, Superconductivity of quasiperiodic layer structures, Sov. Phys. JETP 68(1), 176-181 (1989)].
    58. A.Yu. Kitaev, Ob elektronnykh svoistvakh trekhmernogo kvazikristalla so slabym potentsialom, Pis’ma v ZhETF, 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.
    59. A.Yu. Kitaev, L.S. Levitov, Sverkhprovodimost’ kvaziperiodicheskikh sloistykh struktur, Pis’ma v ZhETF, 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.
    60. P.A. Kalugin, A.Yu. Kitaev, L.S. Levitov, Elektronnyi spektr odnomernogo kvazikristalla, ZhETF, 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)].
    61. P.A. Kalugin, A.Yu. Kitaev, L.S. Levitov, 6-dimensional properties of Al0.86Mn0.14 alloy, J. Physique Lett. 46(13), 601-607 (1985), WoS: A1985AMG6700005.
    62. P.A. Kalugin, A.Yu. Kitaev, L.S. Levitov, Al0. 86Mn0. 14 - shestimernyi kristall, Pis’ma v ZhETF, 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.