## Nielsen, Michael A.

Compute Distance To:
 Author ID: nielsen.michael-a Published as: Nielsen, Michael A.; Nielsen, M. A.; Nielsen, Michael more...less Homepage: https://michaelnielsen.org/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
 Documents Indexed: 24 Publications since 1997, including 2 Books Co-Authors: 22 Co-Authors with 16 Joint Publications 482 Co-Co-Authors
all top 5

### Co-Authors

 8 single-authored 3 Chuang, Isaac L. 3 Gu, Mile 2 Barnum, Howard 2 Cleve, Richard 2 Dawson, Christopher M. 2 Dowling, Mark R. 2 Perales, Álvaro 2 Tapp, Alain 2 van Dam, Wim 2 Weedbrook, Christian 1 Ambainis, Andris 1 Caves, Carlton M. 1 Doherty, Andrew C. 1 Haselgrove, Henry L. 1 Hines, Andrew P. 1 Knill, Emanuel 1 Osborne, Tobias J. 1 Petz, Dénes 1 Schumacher, Benjamin W. 1 Travaglione, B. C. 1 Vidal, Guifré 1 Wiseman, Howard M.
all top 5

### Serials

 7 Quantum Information & Computation 2 Physics Letters. A 2 Physica D 1 IEEE Transactions on Information Theory 1 Reports on Mathematical Physics 1 Theoretical Computer Science 1 Statistics & Probability Letters 1 Journal of Physics A: Mathematical and General 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Physical Review Letters 1 Science 1 The Review of Symbolic Logic
all top 5

### Fields

 19 Quantum theory (81-XX) 11 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX)

### Citations contained in zbMATH Open

19 Publications have been cited 4,013 times in 3,861 Documents Cited by Year
Quantum computation and quantum information. Zbl 1049.81015
Nielsen, Michael A.; Chuang, Isaac L.
2000
Quantum computation and quantum information. 10th anniversary edition. Zbl 1288.81001
Nielsen, Michael A.; Chuang, Isaac L.
2010
Quantum computation as geometry. Zbl 1226.81049
Nielsen, Michael A.; Dowling, Mark R.; Gu, Mile; Doherty, Andrew C.
2006
A geometric approach to quantum circuit lower bounds. Zbl 1152.81788
Nielsen, M. A.
2006
The geometry of quantum computation. Zbl 1158.81313
Dowling, Mark R.; Nielsen, Michael A.
2008
Programmable quantum gate arrays. Zbl 0944.81009
Nielsen, M. A.; Chuang, Isaac L.
1997
The Solovay–Kitaev algorithm. Zbl 1152.81706
Dawson, C. M.; Nielsen, M. A.
2006
On quantum fidelities and channel capacities. Zbl 0999.94515
Barnum, Howard; Knill, Emanuel; Nielsen, Michael A.
2000
Cluster-state quantum computation. Zbl 1110.81054
Nielsen, Michael A.
2006
Quantum computation by measurement and quantum memory. Zbl 1008.81009
Nielsen, Michael A.
2003
A simple formula for the average gate fidelity of a quantum dynamical operation. Zbl 0999.81012
Nielsen, Michael A.
2002
Majorization and the interconversion of bipartite states. Zbl 1187.81053
Nielsen, Michael A.; Vidal, Guifré
2001
A simple proof of the strong subadditivity inequality. Zbl 1175.82009
Nielsen, M. A.; Petz, D.
2005
Quantum entanglement and the communication complexity of the inner product function. Zbl 0979.94041
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
1999
Information-theoretic approach to quantum error correction and reversible measurement. Zbl 0982.94006
Nielsen, M. A.; Caves, Carlton M.; Schumacher, Benjamin; Barnum, Howard
1998
Quantum computing and polynomial equations over $$Z_2$$. Zbl 1213.81067
Dawson, C. M.; Haselgrove, H. L.; Hines, A. P.; Mortimer, D.; Nielsen, M. A.; Osborne, T. J.
2005
Quantum entanglement and the communication complexity of the inner product function. Zbl 1278.81039
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
2013
More really is different. Zbl 1182.37013
Gu, Mile; Weedbrook, Christian; Perales, Álvaro; Nielsen, Michael A.
2009
On the units of bipartite entanglement: Is sixteen ounces of entanglement always equal to one pound? Zbl 0987.81015
Nielsen, M. A.
2001
Quantum entanglement and the communication complexity of the inner product function. Zbl 1278.81039
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
2013
Quantum computation and quantum information. 10th anniversary edition. Zbl 1288.81001
Nielsen, Michael A.; Chuang, Isaac L.
2010
More really is different. Zbl 1182.37013
Gu, Mile; Weedbrook, Christian; Perales, Álvaro; Nielsen, Michael A.
2009
The geometry of quantum computation. Zbl 1158.81313
Dowling, Mark R.; Nielsen, Michael A.
2008
Quantum computation as geometry. Zbl 1226.81049
Nielsen, Michael A.; Dowling, Mark R.; Gu, Mile; Doherty, Andrew C.
2006
A geometric approach to quantum circuit lower bounds. Zbl 1152.81788
Nielsen, M. A.
2006
The Solovay–Kitaev algorithm. Zbl 1152.81706
Dawson, C. M.; Nielsen, M. A.
2006
Cluster-state quantum computation. Zbl 1110.81054
Nielsen, Michael A.
2006
A simple proof of the strong subadditivity inequality. Zbl 1175.82009
Nielsen, M. A.; Petz, D.
2005
Quantum computing and polynomial equations over $$Z_2$$. Zbl 1213.81067
Dawson, C. M.; Haselgrove, H. L.; Hines, A. P.; Mortimer, D.; Nielsen, M. A.; Osborne, T. J.
2005
Quantum computation by measurement and quantum memory. Zbl 1008.81009
Nielsen, Michael A.
2003
A simple formula for the average gate fidelity of a quantum dynamical operation. Zbl 0999.81012
Nielsen, Michael A.
2002
Majorization and the interconversion of bipartite states. Zbl 1187.81053
Nielsen, Michael A.; Vidal, Guifré
2001
On the units of bipartite entanglement: Is sixteen ounces of entanglement always equal to one pound? Zbl 0987.81015
Nielsen, M. A.
2001
Quantum computation and quantum information. Zbl 1049.81015
Nielsen, Michael A.; Chuang, Isaac L.
2000
On quantum fidelities and channel capacities. Zbl 0999.94515
Barnum, Howard; Knill, Emanuel; Nielsen, Michael A.
2000
Quantum entanglement and the communication complexity of the inner product function. Zbl 0979.94041
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
1999
Information-theoretic approach to quantum error correction and reversible measurement. Zbl 0982.94006
Nielsen, M. A.; Caves, Carlton M.; Schumacher, Benjamin; Barnum, Howard
1998
Programmable quantum gate arrays. Zbl 0944.81009
Nielsen, M. A.; Chuang, Isaac L.
1997
all top 5

### Cited by 5,321 Authors

 45 Fei, Shaoming 33 Qiu, Daowen 29 Ye, Liu 27 Ban, Masashi 27 Guo, Ying 22 Luo, Shunlong 21 Shirokov, Maksim Evgen’evich 19 Deng, Fu-Guo 18 Daoud, Mohammed 17 Nagata, Koji 17 Pathak, Anirban 17 Rastëgin, Alekseĭ Èduardovich 17 Zhan, Youbang 17 Zhou, Rigui 16 Li, Lvzhou 16 Sergioli, Giuseppe 16 Shi, Jiadong 16 Wang, Zhixi 15 Giuntini, Roberto 15 Huang, Zhiming 15 Mohamed, Abdel-Baset A. 15 Obada, Abdel-Shafy Fahmy 15 Yang, Guohui 14 Chen, Libing 14 Chen, Xiu-Bo 14 Fang, Maofa 14 Feng, Yuan 14 Giovannetti, Vittorio 14 Lu, Hong 14 Situ, Haozhen 14 Wilde, Mark M. 14 Winter, Andreas 14 Ying, Mingsheng 13 Nakamura, Tadao 13 Petersen, Ian Richard 13 Wang, Dong 13 Xu, Jingbo 12 Li-Jost, Xianqing 12 Ma, Pengcheng 12 Sheng, Yu-Bo 12 Yang, Yixian 12 Yi, Xuexi 11 Abdel-Aty, Mahmoud 11 Chruściński, Dariusz 11 Fan, Heng 11 Freytes, Hector 11 La Guardia, Giuliano Gadioli 11 Nechita, Ion 11 Nishimura, Harumichi 11 Shao, Bin 11 Xia, Yun-Jie 11 Zheng, Shenggen 11 Zou, Jian 10 Abdel-Khalek, Sayed 10 Banerjee, Subhashish 10 Batle, Josep 10 Berrada, K. 10 Chen, Jingling 10 de Wolf, Ronald Michiel 10 Fai, Lukong Cornelius 10 Guo, Guang-Can 10 He, Juan 10 Kashefi, Elham 10 Kribs, David W. 10 Lee, Moonho 10 Lidar, Daniel A. 10 Luo, Mingxing 10 Mancini, Stefano 10 Shi, Ronghua 10 Wei, Hai-Rui 10 Zeng, Guihua 10 Zorzi, Margherita 9 Cao, Zhuoliang 9 Chen, Aixi 9 D’Ariano, Giacomo Mauro 9 Datta, Nilanjana 9 Dong, Daoyi 9 Filippov, Sergey N. 9 Gerdt, Vladimir Petrovich 9 Gudder, Stanley P. 9 Hou, Jinchuan 9 Huang, Dazu 9 Khalil, Eied M. 9 Lloyd, Seth 9 Ma, Xiaosan 9 Metwally, Nasser 9 Ozawa, Masanao 9 Song, Heshan 9 Thapliyal, Kishore 9 Wang, Anmin 9 Wolf, Michael Marc 9 Xue, Kang 9 Yakaryılmaz, Abuzer 9 Yamakami, Tomoyuki 9 Zhang, Guofeng 9 Zhang, Jiansong 9 Zhang, Shou 9 Zhu, Shiqun 8 Ahl Laamara, R. 8 Farouk, Ahmed M. ...and 5,221 more Authors
all top 5

### Cited in 295 Serials

 661 Quantum Information Processing 573 International Journal of Theoretical Physics 325 International Journal of Quantum Information 309 Physics Letters. A 139 Journal of Mathematical Physics 110 Annals of Physics 105 Journal of High Energy Physics 64 International Journal of Modern Physics B 62 Theoretical Computer Science 59 Foundations of Physics 56 Physical Review A, Third Series 54 Physica A 53 Communications in Mathematical Physics 46 New Journal of Physics 42 Linear Algebra and its Applications 36 Journal of Physics A: Mathematical and Theoretical 34 Physical Review Letters 31 Modern Physics Letters B 28 Reports on Mathematical Physics 26 Modern Physics Letters A 24 Journal of Statistical Physics 21 Information and Computation 18 Computer Physics Communications 17 Automatica 17 Journal of Modern Optics 14 Physics Reports 14 Theoretical and Mathematical Physics 14 Information Sciences 14 Quantum Studies: Mathematics and Foundations 13 Information Processing Letters 13 Journal of Computer and System Sciences 13 Lobachevskii Journal of Mathematics 13 Natural Computing 13 Communications in Theoretical Physics 13 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 12 Annales Henri Poincaré 12 International Journal of Geometric Methods in Modern Physics 11 SIAM Journal on Computing 11 Journal of Complexity 10 International Journal of Modern Physics A 10 Letters in Mathematical Physics 10 Reviews in Mathematical Physics 9 Nuclear Physics. B 9 Physics Letters. B 9 Problems of Information Transmission 9 Journal of Mathematical Sciences (New York) 9 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Soft Computing 8 Advances in Mathematical Physics 8 Quanta 7 Applied Mathematics and Computation 7 Physica D 7 Journal of Cryptology 7 MSCS. Mathematical Structures in Computer Science 7 Mathematical Programming. Series A. Series B 7 International Journal of Modern Physics C 7 Journal of Statistical Mechanics: Theory and Experiment 6 Discrete Mathematics 6 International Journal of General Systems 6 Journal of Mathematical Analysis and Applications 6 Chaos, Solitons and Fractals 6 Fortschritte der Physik 6 The Annals of Statistics 6 New Generation Computing 6 Algorithmica 6 International Journal of Foundations of Computer Science 6 Designs, Codes and Cryptography 6 Open Systems & Information Dynamics 5 Acta Informatica 5 Classical and Quantum Gravity 5 Fuzzy Sets and Systems 5 Journal of Mathematical Psychology 5 Programming and Computer Software 5 SIAM Journal on Control and Optimization 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 European Journal of Physics 4 Journal of Geometry and Physics 4 Acta Applicandae Mathematicae 4 Machine Learning 4 Computational Complexity 4 International Journal of Modern Physics D 4 Advances in Applied Clifford Algebras 4 Theory of Computing Systems 4 Chaos 4 Journal of the European Mathematical Society (JEMS) 4 Foundations of Science 4 Logical Methods in Computer Science 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 General Relativity and Gravitation 3 Journal of Computational Physics 3 Journal of Computational and Applied Mathematics 3 Journal of Functional Analysis 3 Journal of Philosophical Logic 3 Synthese 3 Systems & Control Letters 3 Statistical Science 3 Journal of Global Optimization 3 Journal of Knot Theory and its Ramifications 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 SIAM Journal on Scientific Computing ...and 195 more Serials
all top 5

### Cited in 60 Fields

 3,491 Quantum theory (81-XX) 809 Information and communication theory, circuits (94-XX) 646 Computer science (68-XX) 406 Statistical mechanics, structure of matter (82-XX) 153 Functional analysis (46-XX) 140 Relativity and gravitational theory (83-XX) 123 Operator theory (47-XX) 122 Linear and multilinear algebra; matrix theory (15-XX) 108 Probability theory and stochastic processes (60-XX) 87 Statistics (62-XX) 76 Numerical analysis (65-XX) 65 Mathematical logic and foundations (03-XX) 58 Systems theory; control (93-XX) 56 Optics, electromagnetic theory (78-XX) 55 Combinatorics (05-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Operations research, mathematical programming (90-XX) 38 Group theory and generalizations (20-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Partial differential equations (35-XX) 28 Differential geometry (53-XX) 26 Number theory (11-XX) 23 General and overarching topics; collections (00-XX) 23 Mechanics of particles and systems (70-XX) 22 Classical thermodynamics, heat transfer (80-XX) 20 Category theory; homological algebra (18-XX) 20 Ordinary differential equations (34-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 19 Biology and other natural sciences (92-XX) 18 Algebraic geometry (14-XX) 17 Topological groups, Lie groups (22-XX) 15 Associative rings and algebras (16-XX) 12 Manifolds and cell complexes (57-XX) 11 Nonassociative rings and algebras (17-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Real functions (26-XX) 10 Measure and integration (28-XX) 10 Approximations and expansions (41-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Convex and discrete geometry (52-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Geometry (51-XX) 6 Functions of a complex variable (30-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Abstract harmonic analysis (43-XX) 6 General topology (54-XX) 6 Algebraic topology (55-XX) 5 Special functions (33-XX) 5 Fluid mechanics (76-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 Astronomy and astrophysics (85-XX) 3 Field theory and polynomials (12-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 1 $$K$$-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.