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## Kitaev, Alexei Yu.

Compute Distance To:
 Author ID: kitaev.alexei-yu Published as: Kitaev, Alexei; Kitaev, A. Yu.; Kitaev, A.; Kitaev, Alexei Yu. External Links: Wikidata · GND · IdRef
 Documents Indexed: 31 Publications since 1991, including 1 Book
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#### Co-Authors

 8 single-authored 4 Freedman, Michael Hartley 4 Wang, Zhenghan 3 Gu, Yingfei 2 Bravyi, Sergey B. 2 Kempe, Julia 2 Regev, Oded 2 Suh, S. Josephine 1 Aharonov, Dorit 1 Argaman, Nathan 1 Baladi, Viviane 1 Dadras, Pouria 1 Dennis, Eric 1 Dittes, F.-M. 1 Doron, Eyal 1 Eisenträger, Kirsten 1 Hallgren, Sean 1 Keating, Jonathan P. 1 Kong, Liang 1 Larsen, Michael Jeffrey 1 Lurie, Jacob 1 Nayak, Chetan 1 Nisan, Noam 1 Preskill, John 1 Ruelle, David Pierre 1 Sachdev, Subir 1 Semmes, Stephen W. 1 Shen’, A. Kh. 1 Sieber, Martin 1 Slingerland, Johannes K. 1 Smilansky, Uzy 1 Song, Fang 1 Tarnopolsky, Grigory M. 1 Vyalyi, Mikhail N. 1 Walker, Kevin 1 Watrous, John 1 Zhang, Pengfei
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#### Serials

 6 Journal of High Energy Physics 3 Annals of Physics 2 Communications in Mathematical Physics 2 Nonlinearity 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 SIAM Journal on Computing 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Research Letters 1 Geometry & Topology 1 Physical Review Letters 1 Graduate Studies in Mathematics 1 Physical Review A, Third Series
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#### Fields

 23 Quantum theory (81-XX) 10 Computer science (68-XX) 6 Relativity and gravitational theory (83-XX) 4 Information and communication theory, circuits (94-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 1,431 times in 1,050 Documents Cited by Year
Fault-tolerant quantum computation by anyons. Zbl 1012.81006
Kitaev, A. Yu.
2003
Anyons in an exactly solved model and beyond. Zbl 1125.82009
Kitaev, Alexei
2006
The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual. Zbl 1391.83080
Kitaev, Alexei; Suh, S. Josephine
2018
Periodic table for topological insulators and superconductors. Zbl 1180.82221
Kitaev, Alexei
2009
Classical and quantum computation. Zbl 1022.68001
Kitaev, A. Yu.; Shen, A. H.; Vyalyi, M. N.
2002
Quantum computations: Algorithms and error correction. Zbl 0917.68063
Kitaev, A. Yu.
1997
Topological quantum memory. Quantum information theory. Zbl 1060.94045
Dennis, Eric; Kitaev, Alexei; Preskill, John
2002
Topological quantum computation. Zbl 1019.81008
Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan
2003
Models for gapped boundaries and domain walls. Zbl 1250.81141
Kitaev, Alexei; Kong, Liang
2012
Quantum circuits with mixed states. Zbl 1028.68054
Aharonov, Dorit; Kitaev, Alexei; Nisan, Noam
1998
Universal quantum computation with ideal Clifford gates and noisy ancillas. Zbl 1227.81113
Bravyi, Sergey; Kitaev, Alexei
2005
The complexity of the local Hamiltonian problem. Zbl 1102.81032
Kempe, Julia; Kitaev, Alexei; Regev, Oded
2006
Simulation of topological field theories by quantum computers. Zbl 1014.81006
Freedman, Michael H.; Kitaev, Alexei; Wang, Zhenghan
2002
Fermionic quantum computation. Zbl 0995.81012
Bravyi, Sergey B.; Kitaev, Alexei Yu.
2002
Statistical mechanics of a two-dimensional black hole. Zbl 1416.83075
Kitaev, Alexei; Suh, S. Josephine
2019
Parallelization, amplification, and exponential time simulation of quantum interactive proof systems. Zbl 1296.68057
Kitaev, Alexei; Watrous, John
2000
Notes on the complex Sachdev-Ye-Kitaev model. Zbl 1435.83154
Gu, Yingfei; Kitaev, Alexei; Sachdev, Subir; Tarnopolsky, Grigory
2020
Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness. Zbl 0917.58029
Kitaev, A. Yu.
1999
Correlations in the actions of periodic orbits derived from quantum chaos. Zbl 0972.81543
Argaman, N.; Dittes, F. M.; Doron, E.; Keating, J. P.; Kitaev, A. Yu.; Sieber, M.; Smilansky, U.
1993
On the relation between the magnitude and exponent of OTOCs. Zbl 1411.83024
Gu, Yingfei; Kitaev, Alexei
2019
A quantum algorithm for computing the unit group of an arbitrary degree number field. Zbl 1315.68134
Eisenträger, Kirsten; Hallgren, Sean; Kitaev, Alexei; Song, Fang
2014
Universal manifold pairings and positivity. Zbl 1129.57035
Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan
2005
Solutions to generalized Yang-Baxter equations via ribbon fusion categories. Zbl 1254.81026
Kitaev, Alexei; Wang, Zhenghan
2012
Sharp determinants and kneading operators for holomorphic maps. Zbl 0919.58008
Baladi, V.; Kitaev, A.; Ruelle, D.; Semmes, S.
1997
Diameters of homogeneous spaces. Zbl 1029.22031
Freedman, Michael H.; Kitaev, Alexei; Lurie, Jacob
2003
Topological phases and quantum computation. Zbl 1207.81014
Kitaev, A.
2010
Perturbative calculations of entanglement entropy. Zbl 1461.83024
Dadras, Pouria; Kitaev, Alexei
2021
Perturbative calculations of entanglement entropy. Zbl 1461.83024
Dadras, Pouria; Kitaev, Alexei
2021
Notes on the complex Sachdev-Ye-Kitaev model. Zbl 1435.83154
Gu, Yingfei; Kitaev, Alexei; Sachdev, Subir; Tarnopolsky, Grigory
2020
Statistical mechanics of a two-dimensional black hole. Zbl 1416.83075
Kitaev, Alexei; Suh, S. Josephine
2019
On the relation between the magnitude and exponent of OTOCs. Zbl 1411.83024
Gu, Yingfei; Kitaev, Alexei
2019
The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual. Zbl 1391.83080
Kitaev, Alexei; Suh, S. Josephine
2018
A quantum algorithm for computing the unit group of an arbitrary degree number field. Zbl 1315.68134
Eisenträger, Kirsten; Hallgren, Sean; Kitaev, Alexei; Song, Fang
2014
Models for gapped boundaries and domain walls. Zbl 1250.81141
Kitaev, Alexei; Kong, Liang
2012
Solutions to generalized Yang-Baxter equations via ribbon fusion categories. Zbl 1254.81026
Kitaev, Alexei; Wang, Zhenghan
2012
Topological phases and quantum computation. Zbl 1207.81014
Kitaev, A.
2010
Periodic table for topological insulators and superconductors. Zbl 1180.82221
Kitaev, Alexei
2009
Anyons in an exactly solved model and beyond. Zbl 1125.82009
Kitaev, Alexei
2006
The complexity of the local Hamiltonian problem. Zbl 1102.81032
Kempe, Julia; Kitaev, Alexei; Regev, Oded
2006
Universal quantum computation with ideal Clifford gates and noisy ancillas. Zbl 1227.81113
Bravyi, Sergey; Kitaev, Alexei
2005
Universal manifold pairings and positivity. Zbl 1129.57035
Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan
2005
Fault-tolerant quantum computation by anyons. Zbl 1012.81006
Kitaev, A. Yu.
2003
Topological quantum computation. Zbl 1019.81008
Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan
2003
Diameters of homogeneous spaces. Zbl 1029.22031
Freedman, Michael H.; Kitaev, Alexei; Lurie, Jacob
2003
Classical and quantum computation. Zbl 1022.68001
Kitaev, A. Yu.; Shen, A. H.; Vyalyi, M. N.
2002
Topological quantum memory. Quantum information theory. Zbl 1060.94045
Dennis, Eric; Kitaev, Alexei; Preskill, John
2002
Simulation of topological field theories by quantum computers. Zbl 1014.81006
Freedman, Michael H.; Kitaev, Alexei; Wang, Zhenghan
2002
Fermionic quantum computation. Zbl 0995.81012
Bravyi, Sergey B.; Kitaev, Alexei Yu.
2002
Parallelization, amplification, and exponential time simulation of quantum interactive proof systems. Zbl 1296.68057
Kitaev, Alexei; Watrous, John
2000
Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness. Zbl 0917.58029
Kitaev, A. Yu.
1999
Quantum circuits with mixed states. Zbl 1028.68054
Aharonov, Dorit; Kitaev, Alexei; Nisan, Noam
1998
Quantum computations: Algorithms and error correction. Zbl 0917.68063
Kitaev, A. Yu.
1997
Sharp determinants and kneading operators for holomorphic maps. Zbl 0919.58008
Baladi, V.; Kitaev, A.; Ruelle, D.; Semmes, S.
1997
Correlations in the actions of periodic orbits derived from quantum chaos. Zbl 0972.81543
Argaman, N.; Dittes, F. M.; Doron, E.; Keating, J. P.; Kitaev, A. Yu.; Sieber, M.; Smilansky, U.
1993
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#### Cited by 1,480 Authors

 26 Wang, Zhenghan 13 Hastings, Matthew B. 12 Gomi, Kiyonori 12 Kong, Liang 12 Xue, Kang 11 Bravyi, Sergey B. 11 De Nittis, Giuseppe 11 Rowell, Eric C. 11 Wan, Yidun 10 Bachmann, Sven 10 Bombín, Héctor 10 Freedman, Michael Hartley 10 Kitaev, Alexei Yu. 10 Mertens, Thomas G. 10 Sergioli, Giuseppe 9 Giuntini, Roberto 9 Kauffman, Louis Hirsch 9 Naaijkens, Pieter 9 Nishimura, Harumichi 9 Sun, Chunfang 9 Thiang, Guo Chuan 9 Turiaci, Gustavo J. 9 Wang, Gangcheng 8 Hu, Taotao 8 Martin-Delgado, Miguel Angel 8 Nachtergaele, Bruno 8 Zhang, Pengfei 7 Flammia, Steven T. 7 Pachos, Jiannis K. 7 Rasetti, Mario 7 Schulz-Baldes, Hermann 7 Verstraete, Frank 7 Zheng, Hao 6 Bourne, Chris 6 Bruillard, Paul 6 Cirac, Juan Ignacio 6 Delcamp, Clement 6 Freytes, Hector 6 Hu, Yuting 6 Kellendonk, Johannes 6 König, Robert 6 Ledda, Antonio 6 Qi, Xiaoliang 6 Shirokov, Maksim Evgen’evich 6 Wen, Xiaogang 6 Yang, Zhenbin 5 Aharonov, Dorit 5 Blommaert, Andreas 5 Brandão, Fernando G. S. L. 5 Dalla Chiara, Maria Luisa 5 Frahm, Holger 5 Fuchs, Jürgen 5 Gharibian, Sevag 5 Gu, Yingfei 5 Haah, Jeongwan 5 Harrow, Aram Wettroth 5 Hong, Seung-Moon 5 Hung, Ling-Yan 5 Iwai, Toshihiro 5 Kapustin, Anton 5 Links, Jon Robert 5 Loring, Terry A. 5 Marzuoli, Annalisa 5 Nagaj, Daniel 5 Nayak, Chetan 5 Pérez-García, David 5 Plavnik, Julia Yael 5 Prodan, Emil 5 Rötteler, Martin 5 Sanders, Barry C. 5 Trivedi, Sandip P. 5 Verschelde, Henri 5 Watrous, John 5 Yamakami, Tomoyuki 5 Zanardi, Paolo 5 Zhilinskií, Boris I. 4 Aspuru-Guzik, Alán 4 Bartlett, Stephen D. 4 Boche, Holger 4 Brell, Courtney G. 4 Buerschaper, Oliver 4 Campbell, Earl T. 4 Chang, Chi-Ming 4 D’Ariano, Giacomo Mauro 4 Das, Sumit R. 4 De Roeck, Wojciech 4 Dittrich, Bianca 4 Fraas, Martin 4 Galindo Martínez, César Neyit 4 Ghosh, Animik 4 Gottesman, Daniel 4 Hamma, Alioscia 4 Harlow, Daniel 4 Iliesiu, Luca V. 4 Kashefi, Elham 4 Kastoryano, Michael J. 4 Le Gall, François 4 Li, Yingcheng 4 Lomonaco, Samuel J. jun. 4 Michalakis, Spyridon ...and 1,380 more Authors
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#### Cited in 149 Serials

 195 Journal of High Energy Physics 98 Communications in Mathematical Physics 80 New Journal of Physics 70 Journal of Mathematical Physics 58 Quantum Information Processing 27 Nuclear Physics. B 23 Annales Henri Poincaré 22 Journal of Statistical Mechanics: Theory and Experiment 21 Journal of Physics A: Mathematical and Theoretical 18 International Journal of Quantum Information 17 International Journal of Theoretical Physics 15 Journal of Statistical Physics 15 Reviews in Mathematical Physics 15 Theoretical Computer Science 13 Annals of Physics 12 International Journal of Modern Physics B 12 Letters in Mathematical Physics 9 Journal of Geometry and Physics 9 Journal of Knot Theory and its Ramifications 9 Physical Review Letters 9 Physical Review A, Third Series 8 Physics Letters. A 8 SIAM Journal on Computing 7 Theoretical and Mathematical Physics 6 Information Processing Letters 6 Reviews of Modern Physics 6 Advances in Mathematics 6 Journal of Computer and System Sciences 6 Algorithmica 6 MSCS. Mathematical Structures in Computer Science 5 Computational Complexity 5 Open Systems & Information Dynamics 4 International Journal of Mathematics 4 Linear Algebra and its Applications 4 Bulletin of the American Mathematical Society. New Series 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Communications in Contemporary Mathematics 4 Natural Computing 4 Foundations of Physics 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 International Journal of Modern Physics A 3 Physics Letters. B 3 Journal of Pure and Applied Algebra 3 Acta Applicandae Mathematicae 3 Journal of the American Mathematical Society 3 International Journal of Foundations of Computer Science 3 Proceedings of the National Academy of Sciences of the United States of America 3 Cybernetics and Systems Analysis 3 Computational and Applied Mathematics 3 Theory of Computing Systems 3 Annals of Mathematics. Second Series 3 Journal of Modern Optics 3 Advances in Mathematical Physics 3 Quantum Topology 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Modern Physics Letters A 2 Classical and Quantum Gravity 2 Computer Physics Communications 2 General Relativity and Gravitation 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Physics Reports 2 Automatica 2 Journal of Functional Analysis 2 Journal of Philosophical Logic 2 Transactions of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Information and Computation 2 Applied Categorical Structures 2 Journal of Mathematical Sciences (New York) 2 Mathematical Physics, Analysis and Geometry 2 Soft Computing 2 Algebras and Representation Theory 2 Chaos 2 Lobachevskii Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Mathematical Cryptology 2 Logical Methods in Computer Science 1 Modern Physics Letters B 1 Acta Informatica 1 Bulletin of the Australian Mathematical Society 1 International Journal of General Systems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Problems of Information Transmission 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Fortschritte der Physik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Fuzzy Sets and Systems 1 International Journal of Circuit Theory and Applications 1 Inventiones Mathematicae 1 Journal of Mathematical Psychology 1 The Journal of Symbolic Logic 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society ...and 49 more Serials
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#### Cited in 51 Fields

 863 Quantum theory (81-XX) 216 Statistical mechanics, structure of matter (82-XX) 166 Computer science (68-XX) 153 Relativity and gravitational theory (83-XX) 91 Information and communication theory, circuits (94-XX) 63 Manifolds and cell complexes (57-XX) 60 Functional analysis (46-XX) 55 Category theory; homological algebra (18-XX) 39 Associative rings and algebras (16-XX) 37 Group theory and generalizations (20-XX) 37 Global analysis, analysis on manifolds (58-XX) 33 Operator theory (47-XX) 29 Dynamical systems and ergodic theory (37-XX) 27 $$K$$-theory (19-XX) 27 Partial differential equations (35-XX) 27 Statistics (62-XX) 25 Nonassociative rings and algebras (17-XX) 25 Differential geometry (53-XX) 24 Number theory (11-XX) 20 Combinatorics (05-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Probability theory and stochastic processes (60-XX) 16 Mathematical logic and foundations (03-XX) 16 Algebraic topology (55-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Algebraic geometry (14-XX) 10 Mechanics of particles and systems (70-XX) 9 Topological groups, Lie groups (22-XX) 8 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Convex and discrete geometry (52-XX) 5 Operations research, mathematical programming (90-XX) 5 Systems theory; control (93-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Commutative algebra (13-XX) 4 Functions of a complex variable (30-XX) 4 Optics, electromagnetic theory (78-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX)

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