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Nielsen, Michael A.

Author ID: nielsen.michael-a Recent zbMATH articles by "Nielsen, Michael A."
Published as: Nielsen, Michael A.; Nielsen, M. A.; Nielsen, Michael
Homepage: https://michaelnielsen.org/
External Links: MGP · Wikidata · Google Scholar · Twitter · dblp · GND · IdRef
Documents Indexed: 27 Publications since 1997, including 2 Books
Co-Authors: 22 Co-Authors with 16 Joint Publications
600 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

21 Publications have been cited 5,458 times in 5,198 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.
920
2010
Quantum computation as geometry. Zbl 1226.81049
Nielsen, Michael A.; Dowling, Mark R.; Gu, Mile; Doherty, Andrew C.
100
2006
A geometric approach to quantum circuit lower bounds. Zbl 1152.81788
Nielsen, M. A.
77
2006
The geometry of quantum computation. Zbl 1158.81313
Dowling, Mark R.; Nielsen, Michael A.
66
2008
The Solovay–Kitaev algorithm. Zbl 1152.81706
Dawson, C. M.; Nielsen, M. A.
48
2006
Programmable quantum gate arrays. Zbl 0944.81009
Nielsen, M. A.; Chuang, Isaac L.
39
1997
Cluster-state quantum computation. Zbl 1110.81054
Nielsen, Michael A.
27
2006
On quantum fidelities and channel capacities. Zbl 0999.94515
Barnum, Howard; Knill, Emanuel; Nielsen, Michael A.
27
2000
Majorization and the interconversion of bipartite states. Zbl 1187.81053
Nielsen, Michael A.; Vidal, Guifré
25
2001
Quantum computation by measurement and quantum memory. Zbl 1008.81009
Nielsen, Michael A.
24
2003
A simple formula for the average gate fidelity of a quantum dynamical operation. Zbl 0999.81012
Nielsen, Michael A.
19
2002
A simple proof of the strong subadditivity inequality. Zbl 1175.82009
Nielsen, M. A.; Petz, D.
17
2005
Quantum entanglement and the communication complexity of the inner product function. Zbl 0979.94041
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
12
1999
Information-theoretic approach to quantum error correction and reversible measurement. Zbl 0982.94006
Nielsen, M. A.; Caves, Carlton M.; Schumacher, Benjamin; Barnum, Howard
12
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.
10
2005
More really is different. Zbl 1182.37013
Gu, Mile; Weedbrook, Christian; Perales, Álvaro; Nielsen, Michael A.
4
2009
Quantum entanglement and the communication complexity of the inner product function. Zbl 1278.81039
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
3
2013
On the units of bipartite entanglement: Is sixteen ounces of entanglement always equal to one pound? Zbl 0987.81015
Nielsen, M. A.
2
2001
Introduction to the Polymath Project and “Density Hales-Jewett and Moser numbers”. Zbl 1206.01038
Nielsen, Michael A.
1
2010
Regular conditional probabilities and strictly proper loss functions. Zbl 1494.60006
Nielsen, Michael
1
2022
Regular conditional probabilities and strictly proper loss functions. Zbl 1494.60006
Nielsen, Michael
1
2022
Quantum entanglement and the communication complexity of the inner product function. Zbl 1278.81039
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
3
2013
Quantum computation and quantum information. 10th anniversary edition. Zbl 1288.81001
Nielsen, Michael A.; Chuang, Isaac L.
920
2010
Introduction to the Polymath Project and “Density Hales-Jewett and Moser numbers”. Zbl 1206.01038
Nielsen, Michael A.
1
2010
More really is different. Zbl 1182.37013
Gu, Mile; Weedbrook, Christian; Perales, Álvaro; Nielsen, Michael A.
4
2009
The geometry of quantum computation. Zbl 1158.81313
Dowling, Mark R.; Nielsen, Michael A.
66
2008
Quantum computation as geometry. Zbl 1226.81049
Nielsen, Michael A.; Dowling, Mark R.; Gu, Mile; Doherty, Andrew C.
100
2006
A geometric approach to quantum circuit lower bounds. Zbl 1152.81788
Nielsen, M. A.
77
2006
The Solovay–Kitaev algorithm. Zbl 1152.81706
Dawson, C. M.; Nielsen, M. A.
48
2006
Cluster-state quantum computation. Zbl 1110.81054
Nielsen, Michael A.
27
2006
A simple proof of the strong subadditivity inequality. Zbl 1175.82009
Nielsen, M. A.; Petz, D.
17
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.
10
2005
Quantum computation by measurement and quantum memory. Zbl 1008.81009
Nielsen, Michael A.
24
2003
A simple formula for the average gate fidelity of a quantum dynamical operation. Zbl 0999.81012
Nielsen, Michael A.
19
2002
Majorization and the interconversion of bipartite states. Zbl 1187.81053
Nielsen, Michael A.; Vidal, Guifré
25
2001
On the units of bipartite entanglement: Is sixteen ounces of entanglement always equal to one pound? Zbl 0987.81015
Nielsen, M. A.
2
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.
27
2000
Quantum entanglement and the communication complexity of the inner product function. Zbl 0979.94041
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
12
1999
Information-theoretic approach to quantum error correction and reversible measurement. Zbl 0982.94006
Nielsen, M. A.; Caves, Carlton M.; Schumacher, Benjamin; Barnum, Howard
12
1998
Programmable quantum gate arrays. Zbl 0944.81009
Nielsen, M. A.; Chuang, Isaac L.
39
1997
all top 5

Cited by 7,272 Authors

80 Fei, Shaoming
37 Qiu, Daowen
34 Ban, Masashi
32 Ye, Liu
30 Luo, Shunlong
30 Zhou, Rigui
28 Wang, Zhixi
27 Guo, Ying
27 Shirokov, Maksim Evgen’evich
26 Daoud, Mohammed
23 Pathak, Anirban
21 Deng, Fu-Guo
20 Huang, Zhiming
20 Rastëgin, Alekseĭ Èduardovich
19 Chruściński, Dariusz
19 Fan, Heng
19 Li, Lvzhou
19 Shi, Jiadong
19 Wang, Dong
18 Li-Jost, Xianqing
18 Li, Ming
18 Nagata, Koji
18 Petersen, Ian Richard
18 Sergioli, Giuseppe
17 Chen, Xiu-Bo
17 Mohamed, Abdel-Baset A.
17 Situ, Haozhen
17 Winter, Andreas
17 Ying, Mingsheng
17 Zhan, Youbang
16 Chen, Lin
16 Obada, Abdel-Shafy Fahmy
16 Wei, Hai-Rui
16 Wilde, Mark M.
15 Fang, Maofa
15 Feng, Yuan
15 Giuntini, Roberto
15 Gudder, Stanley P.
15 Jing, Naihuan
15 Shen, Shuqian
15 Xia, Yun-Jie
15 Xu, Jingbo
15 Yang, Guohui
15 Yang, Yixian
14 Abdel-Aty, Mahmoud
14 Chen, Libing
14 Giovannetti, Vittorio
14 Lu, Hong
14 Muthuganesan, R.
14 Nakamura, Tadao
14 Nechita, Ion
14 Panigrahi, Prasanta K.
14 Thapliyal, Kishore
14 Zheng, Shenggen
13 Freytes, Hector
13 Hu, Wenwen
13 Park, Dae Kil
13 Sheng, Yu-Bo
13 Wille, Robert
13 Yakaryılmaz, Abuzer
13 Zou, Jian
12 Banerjee, Subhashish
12 Cao, Zhuoliang
12 Dong, Daoyi
12 Fai, Lukong Cornelius
12 Guo, Guang-Can
12 He, Juan
12 Hou, Jinchuan
12 Hu, Mingliang
12 Kribs, David W.
12 La Guardia, Giuliano Gadioli
12 Luo, Mingxing
12 Ma, Pengcheng
12 Nishimura, Harumichi
11 Abdel-Khalek, Sayed
11 Berrada, K.
11 Bhattacharyya, Arpan
11 Calabrese, Pasquale
11 Kashefi, Elham
11 Khalil, Eied Mahmoud
11 Korepin, Vladimir E.
11 Li, Chi-Kwong
11 Li, Haisheng
11 Lloyd, Seth
11 Mancini, Stefano
11 Mukhamedov, Farruh Maksutovich
11 Shao, Bin
11 Shi, Ronghua
10 Batle, Josep
10 Chandrasekar, V. K.
10 Chen, Aixi
10 Chen, Han Wu
10 Chen, Jingling
10 de Wolf, Ronald Michiel
10 Drechsler, Rolf
10 Fan, Ping
10 Filippov, Sergey N.
10 Le Gall, François
10 Lee, Moonho
10 Li, Yanling
...and 7,172 more Authors
all top 5

Cited in 336 Serials

1,186 Quantum Information Processing
628 International Journal of Theoretical Physics
352 International Journal of Quantum Information
340 Physics Letters. A
169 Journal of High Energy Physics
154 Journal of Physics A: Mathematical and Theoretical
153 Journal of Mathematical Physics
122 Annals of Physics
86 Physica A
70 Theoretical Computer Science
68 New Journal of Physics
66 International Journal of Modern Physics B
64 Foundations of Physics
61 Communications in Mathematical Physics
56 Physical Review A, Third Series
46 Linear Algebra and its Applications
44 Annalen der Physik
39 Reports on Mathematical Physics
34 Physical Review Letters
31 Modern Physics Letters B
26 Modern Physics Letters A
26 Computer Physics Communications
26 Communications in Theoretical Physics
24 Journal of Statistical Physics
23 Information and Computation
20 Lobachevskii Journal of Mathematics
20 Annales Henri Poincaré
19 Automatica
19 International Journal of Geometric Methods in Modern Physics
18 SIAM Journal on Computing
18 Natural Computing
17 Information Sciences
17 Journal of Modern Optics
16 Letters in Mathematical Physics
16 Physics Reports
16 Theoretical and Mathematical Physics
15 Nuclear Physics. B
15 Fortschritte der Physik
15 Quanta
14 Journal of Computer and System Sciences
14 Journal of Statistical Mechanics: Theory and Experiment
14 Quantum Studies: Mathematics and Foundations
13 Information Processing Letters
13 Physics Letters. B
13 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
12 Reviews in Mathematical Physics
12 Open Systems & Information Dynamics
11 Classical and Quantum Gravity
11 Journal of Complexity
10 International Journal of Modern Physics A
9 Problems of Information Transmission
9 Applied Mathematics and Computation
9 MSCS. Mathematical Structures in Computer Science
9 International Journal of Foundations of Computer Science
9 Journal of Mathematical Sciences (New York)
9 Soft Computing
9 Infinite Dimensional Analysis, Quantum Probability and Related Topics
8 European Journal of Physics
8 Chaos, Solitons and Fractals
8 Advances in Mathematical Physics
7 Physica D
7 Journal of Cryptology
7 Designs, Codes and Cryptography
7 Mathematical Programming. Series A. Series B
7 Advances in Applied Clifford Algebras
7 International Journal of Modern Physics C
7 The European Physical Journal B. Condensed Matter and Complex Systems
6 Discrete Mathematics
6 International Journal of General Systems
6 Journal of Mathematical Analysis and Applications
6 The Annals of Statistics
6 Programming and Computer Software
6 New Generation Computing
6 Algorithmica
6 Logical Methods in Computer Science
5 Acta Informatica
5 Journal of Computational Physics
5 Linear and Multilinear Algebra
5 Journal of Geometry and Physics
5 Fuzzy Sets and Systems
5 Journal of Functional Analysis
5 Journal of Mathematical Psychology
5 SIAM Journal on Control and Optimization
5 Synthese
5 Computational Complexity
5 SIAM Journal on Scientific Computing
5 Journal of Mathematical Chemistry
5 Theory of Computing Systems
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 General Relativity and Gravitation
4 Journal of the Franklin Institute
4 Journal of Computational and Applied Mathematics
4 Journal of the Indian Institute of Science
4 Journal of Optimization Theory and Applications
4 Journal of Philosophical Logic
4 Systems & Control Letters
4 Acta Applicandae Mathematicae
4 Statistical Science
4 Machine Learning
4 International Journal of Modern Physics D
...and 236 more Serials
all top 5

Cited in 61 Fields

4,702 Quantum theory (81-XX)
969 Information and communication theory, circuits (94-XX)
837 Computer science (68-XX)
529 Statistical mechanics, structure of matter (82-XX)
203 Functional analysis (46-XX)
191 Relativity and gravitational theory (83-XX)
166 Operator theory (47-XX)
165 Linear and multilinear algebra; matrix theory (15-XX)
163 Probability theory and stochastic processes (60-XX)
131 Statistics (62-XX)
105 Numerical analysis (65-XX)
89 Mathematical logic and foundations (03-XX)
79 Operations research, mathematical programming (90-XX)
77 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
73 Combinatorics (05-XX)
67 Mechanics of particles and systems (70-XX)
66 Systems theory; control (93-XX)
64 Optics, electromagnetic theory (78-XX)
51 Partial differential equations (35-XX)
47 Group theory and generalizations (20-XX)
45 Differential geometry (53-XX)
44 Dynamical systems and ergodic theory (37-XX)
40 Classical thermodynamics, heat transfer (80-XX)
37 Number theory (11-XX)
27 Topological groups, Lie groups (22-XX)
27 Biology and other natural sciences (92-XX)
26 General and overarching topics; collections (00-XX)
26 Category theory; homological algebra (18-XX)
26 Ordinary differential equations (34-XX)
25 Algebraic geometry (14-XX)
23 Measure and integration (28-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
21 Associative rings and algebras (16-XX)
20 Nonassociative rings and algebras (17-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Real functions (26-XX)
13 Geometry (51-XX)
13 Manifolds and cell complexes (57-XX)
11 Several complex variables and analytic spaces (32-XX)
11 Approximations and expansions (41-XX)
11 Convex and discrete geometry (52-XX)
10 Functions of a complex variable (30-XX)
9 Special functions (33-XX)
8 Abstract harmonic analysis (43-XX)
7 Commutative algebra (13-XX)
7 General topology (54-XX)
6 History and biography (01-XX)
6 Algebraic topology (55-XX)
5 Mechanics of deformable solids (74-XX)
5 Fluid mechanics (76-XX)
5 Astronomy and astrophysics (85-XX)
4 Field theory and polynomials (12-XX)
4 Difference and functional equations (39-XX)
3 Sequences, series, summability (40-XX)
2 General algebraic systems (08-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
1 \(K\)-theory (19-XX)
1 Mathematics education (97-XX)

Citations by Year

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