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Nielsen, Michael A.

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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 · 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

Publications by Year

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.
475
2010
Quantum computation as geometry. Zbl 1226.81049
Nielsen, Michael A.; Dowling, Mark R.; Gu, Mile; Doherty, Andrew C.
59
2006
A geometric approach to quantum circuit lower bounds. Zbl 1152.81788
Nielsen, M. A.
41
2006
The geometry of quantum computation. Zbl 1158.81313
Dowling, Mark R.; Nielsen, Michael A.
37
2008
Programmable quantum gate arrays. Zbl 0944.81009
Nielsen, M. A.; Chuang, Isaac L.
31
1997
The Solovay–Kitaev algorithm. Zbl 1152.81706
Dawson, C. M.; Nielsen, M. A.
26
2006
On quantum fidelities and channel capacities. Zbl 0999.94515
Barnum, Howard; Knill, Emanuel; Nielsen, Michael A.
22
2000
Cluster-state quantum computation. Zbl 1110.81054
Nielsen, Michael A.
21
2006
Quantum computation by measurement and quantum memory. Zbl 1008.81009
Nielsen, Michael A.
21
2003
A simple formula for the average gate fidelity of a quantum dynamical operation. Zbl 0999.81012
Nielsen, Michael A.
17
2002
Majorization and the interconversion of bipartite states. Zbl 1187.81053
Nielsen, Michael A.; Vidal, Guifré
15
2001
A simple proof of the strong subadditivity inequality. Zbl 1175.82009
Nielsen, M. A.; Petz, D.
15
2005
Quantum entanglement and the communication complexity of the inner product function. Zbl 0979.94041
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
11
1999
Information-theoretic approach to quantum error correction and reversible measurement. Zbl 0982.94006
Nielsen, M. A.; Caves, Carlton M.; Schumacher, Benjamin; Barnum, Howard
10
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.
8
2005
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
More really is different. Zbl 1182.37013
Gu, Mile; Weedbrook, Christian; Perales, Álvaro; Nielsen, Michael A.
3
2009
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 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.
475
2010
More really is different. Zbl 1182.37013
Gu, Mile; Weedbrook, Christian; Perales, Álvaro; Nielsen, Michael A.
3
2009
The geometry of quantum computation. Zbl 1158.81313
Dowling, Mark R.; Nielsen, Michael A.
37
2008
Quantum computation as geometry. Zbl 1226.81049
Nielsen, Michael A.; Dowling, Mark R.; Gu, Mile; Doherty, Andrew C.
59
2006
A geometric approach to quantum circuit lower bounds. Zbl 1152.81788
Nielsen, M. A.
41
2006
The Solovay–Kitaev algorithm. Zbl 1152.81706
Dawson, C. M.; Nielsen, M. A.
26
2006
Cluster-state quantum computation. Zbl 1110.81054
Nielsen, Michael A.
21
2006
A simple proof of the strong subadditivity inequality. Zbl 1175.82009
Nielsen, M. A.; Petz, D.
15
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.
8
2005
Quantum computation by measurement and quantum memory. Zbl 1008.81009
Nielsen, Michael A.
21
2003
A simple formula for the average gate fidelity of a quantum dynamical operation. Zbl 0999.81012
Nielsen, Michael A.
17
2002
Majorization and the interconversion of bipartite states. Zbl 1187.81053
Nielsen, Michael A.; Vidal, Guifré
15
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.
22
2000
Quantum entanglement and the communication complexity of the inner product function. Zbl 0979.94041
Cleve, Richard; van Dam, Wim; Nielsen, Michael; Tapp, Alain
11
1999
Information-theoretic approach to quantum error correction and reversible measurement. Zbl 0982.94006
Nielsen, M. A.; Caves, Carlton M.; Schumacher, Benjamin; Barnum, Howard
10
1998
Programmable quantum gate arrays. Zbl 0944.81009
Nielsen, M. A.; Chuang, Isaac L.
31
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)

Citations by Year

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