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Author ID: uhlmann.armin Recent zbMATH articles by "Uhlmann, Armin"
Published as: Uhlmann, Armin; Uhlmann, A.
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Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 552 times in 415 Documents Cited by Year
The ”transition probability” in the state space of a \(^*\)-algebra. Zbl 0355.46040
Uhlmann, A.
282
1976
Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory. Zbl 0358.46026
Uhlmann, A.
144
1977
Parallel transport and “quantum holonomy” along density operators. Zbl 0644.46058
Uhlmann, Armin
116
1986
Entropy and optimal decompositions of states relative to a maximal commutative subalgebra. Zbl 0965.46041
Uhlmann, Armin
39
1998
A gauge field governing parallel transport along mixed states. Zbl 0723.58052
Uhlmann, Armin
38
1991
Stochasticity and partial order. Doubly stochastic maps and unitary mixing. (Licensed ed.). Zbl 0491.46045
Alberti, Peter M.; Uhlmann, Armin
37
1982
Stochasticity and partial order. Doubly stochastic maps and unitary mixing. Zbl 0474.46047
Alberti, P. M.; Uhlmann, A.
32
1981
Entangled three-qubit states without concurrence and three-tangle. Zbl 1228.81071
Lohmayer, Robert; Osterloh, Andreas; Siewert, Jens; Uhlmann, Armin
29
2006
Density operators as an arena for differential geometry. Zbl 0822.46087
Uhlmann, Armin
28
1993
Sub- and super-fidelity as bounds for quantum fidelity. Zbl 1160.81009
Miszczak, Jaroslaw Adam; Puchala, Zbigniew; Horodecki, Pawel; Uhlmann, Armin; Życzkowski, Karol
27
2009
Über die Definition der Quantenfelder nach Wightman und Haag. Zbl 0119.43804
Uhlmann, A.
26
1962
The metric of Bures and the geometric phase. Zbl 0871.46042
Uhlmann, Armin
21
1992
A problem relating to positive linear maps on matrix algebras. Zbl 0534.15014
Alberti, P. M.; Uhlmann, A.
19
1980
Geometric phases and related structures. Zbl 0891.46051
Uhlmann, Armin
17
1995
Transition probability (fidelity) and its relatives. Zbl 1327.81099
Uhlmann, Armin
15
2011
On Bures distance and \(*\)-algebraic transition probability between inner derived positive linear forms over \(W^*\)-algebras. Zbl 0961.46043
Alberti, Peter M.; Uhlmann, Armin
14
2000
On the Shannon entropy and related functionals on convex sets. Zbl 0209.43101
Uhlmann, A.
13
1970
Stochastic linear maps and transition probability. Zbl 0538.46052
Alberti, Peter M.; Uhlmann, Armin
12
1983
Dissipative motion in state spaces. Zbl 0497.46041
Alberti, Peter M.; Uhlmann, Armin
11
1981
On ”partial” fidelities. Zbl 0962.47003
Uhlmann, Armin
11
2000
On positive functionals on algebras of test functions for quantum fields. Zbl 0152.46305
Lassner, G.; Uhlmann, A.
11
1968
Spheres and hemispheres as quantum state spaces. Zbl 0878.53053
Uhlmann, A.
10
1996
Connections and metrics respecting purification of quantum states. Zbl 0958.82003
Dittmann, J.; Uhlmann, A.
9
1999
Entanglement of assistance. Zbl 0979.94029
DiVincenzo, David P.; Fuchs, Christopher A.; Mabuchi, Hideo; Smolin, John A.; Thapliyal, Ashish; Uhlmann, Armin
9
1999
Roofs and convexity. Zbl 1229.81056
Uhlmann, Armin
9
2010
The closure of Minkowski space. Zbl 0115.42303
Uhlmann, A.
9
1963
The transition probability for states of *-algebras. Zbl 0571.60007
Uhlmann, A.
8
1985
Optimal decompositions of quantum states with respect to entropy. Zbl 0891.46047
Benatti, F.; Narnhofer, H.; Uhlmann, A.
8
1996
Parallel transport and holonomy along density operators. Zbl 0702.53054
Uhlmann, Armin
6
1987
Transition probabilities on \(W^*\)- and \(C^*\)-algebras. Zbl 0574.46051
Alberti, Peter M.; Uhlmann, Armin
5
1984
Geometry of state spaces. Zbl 1236.81024
Uhlmann, A.; Crell, B.
5
2009
On 1-qubit channels. Zbl 1023.81002
Uhlmann, Armin
4
2001
Existence and density theorems for stochastic maps on commutative C*- algebras. Zbl 0462.46037
Alberti, Peter M.; Uhlmann, Armin
4
1980
The Cartan algebra of exterior differential forms as a supermanifold: morphisms and manifolds associated with them. Zbl 0587.58006
Uhlmann, Armin
3
1984
Ordnungsstrukturen im Raum der gemischten Zustände und die H-Theoreme von Felderhof-van Kampen. Zbl 0391.60099
Uhlmann, A.
3
1978
A note on stochastic dynamics in the state space of a commutative C* algebra. Zbl 0483.46044
Alberti, Peter M.; Uhlmann, Armin
3
1981
The order structure of states in C*- and W*-algebras. Zbl 0404.46042
Alberti, P. M.; Uhlmann, A.
3
1978
Concurrence and foliations induced by some 1-qubit channels. Zbl 1029.81019
Uhlmann, Armin
3
2003
Parallel lifts and holonomy along density operators: Computable examples using \(O(3)\)-orbits. Zbl 0880.46053
Uhlmann, Armin
2
1993
Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics, Leipzig, September 25 - October 2, 1983. Zbl 0535.00014
2
1984
Remark on the future tube. Zbl 0115.42302
Uhlmann, A.
2
1963
Operators and maps affiliated to EPR channels. Zbl 1023.81003
Uhlmann, Armin
1
2000
Partial fidelities. Zbl 1045.81506
Uhlmann, Armin
1
2000
Remarks on the relation between quantum and classical entropy as proposed by A. Wehrl. Zbl 0535.46051
Uhlmann, Armin
1
1980
On stochastic maps of \(C^*\)-algebraic state spaces. Zbl 0542.46034
Uhlmann, Armin
1
1982
Quantum channels of the Einstein-Podolsky-Rosen kind. Zbl 0989.81016
Uhlmann, A.
1
2000
An entropy inequality. Zbl 1251.81028
Hellmund, Meik; Uhlmann, Armin
1
2009
Broken symmetries in the entanglement of formation. Zbl 1062.81006
Benatti, Fabio; Narnhofer, H.; Uhlmann, A.
1
2003
Antilinearity in bipartite quantum systems and imperfect quantum teleportation. Zbl 1069.81517
Uhlmann, Armin
1
2003
On concurrence and entanglement of rank two channels. Zbl 1074.81010
Uhlmann, Armin
1
2005
Optimal decompositions with respect to entropy and symmetries. Zbl 0943.81021
Benatti, F.; Narnhofer, H.; Uhlmann, A.
1
1999
On rank two channels. Zbl 1158.94371
Uhlmann, A.
1
2006
Untersuchungen über Quantentheorien mit indefiniter Metrik. Zbl 0085.43101
Uhlmann, A.
1
1959
Transition probability (fidelity) and its relatives. Zbl 1327.81099
Uhlmann, Armin
15
2011
Roofs and convexity. Zbl 1229.81056
Uhlmann, Armin
9
2010
Sub- and super-fidelity as bounds for quantum fidelity. Zbl 1160.81009
Miszczak, Jaroslaw Adam; Puchala, Zbigniew; Horodecki, Pawel; Uhlmann, Armin; Życzkowski, Karol
27
2009
Geometry of state spaces. Zbl 1236.81024
Uhlmann, A.; Crell, B.
5
2009
An entropy inequality. Zbl 1251.81028
Hellmund, Meik; Uhlmann, Armin
1
2009
Entangled three-qubit states without concurrence and three-tangle. Zbl 1228.81071
Lohmayer, Robert; Osterloh, Andreas; Siewert, Jens; Uhlmann, Armin
29
2006
On rank two channels. Zbl 1158.94371
Uhlmann, A.
1
2006
On concurrence and entanglement of rank two channels. Zbl 1074.81010
Uhlmann, Armin
1
2005
Concurrence and foliations induced by some 1-qubit channels. Zbl 1029.81019
Uhlmann, Armin
3
2003
Broken symmetries in the entanglement of formation. Zbl 1062.81006
Benatti, Fabio; Narnhofer, H.; Uhlmann, A.
1
2003
Antilinearity in bipartite quantum systems and imperfect quantum teleportation. Zbl 1069.81517
Uhlmann, Armin
1
2003
On 1-qubit channels. Zbl 1023.81002
Uhlmann, Armin
4
2001
On Bures distance and \(*\)-algebraic transition probability between inner derived positive linear forms over \(W^*\)-algebras. Zbl 0961.46043
Alberti, Peter M.; Uhlmann, Armin
14
2000
On ”partial” fidelities. Zbl 0962.47003
Uhlmann, Armin
11
2000
Operators and maps affiliated to EPR channels. Zbl 1023.81003
Uhlmann, Armin
1
2000
Partial fidelities. Zbl 1045.81506
Uhlmann, Armin
1
2000
Quantum channels of the Einstein-Podolsky-Rosen kind. Zbl 0989.81016
Uhlmann, A.
1
2000
Connections and metrics respecting purification of quantum states. Zbl 0958.82003
Dittmann, J.; Uhlmann, A.
9
1999
Entanglement of assistance. Zbl 0979.94029
DiVincenzo, David P.; Fuchs, Christopher A.; Mabuchi, Hideo; Smolin, John A.; Thapliyal, Ashish; Uhlmann, Armin
9
1999
Optimal decompositions with respect to entropy and symmetries. Zbl 0943.81021
Benatti, F.; Narnhofer, H.; Uhlmann, A.
1
1999
Entropy and optimal decompositions of states relative to a maximal commutative subalgebra. Zbl 0965.46041
Uhlmann, Armin
39
1998
Spheres and hemispheres as quantum state spaces. Zbl 0878.53053
Uhlmann, A.
10
1996
Optimal decompositions of quantum states with respect to entropy. Zbl 0891.46047
Benatti, F.; Narnhofer, H.; Uhlmann, A.
8
1996
Geometric phases and related structures. Zbl 0891.46051
Uhlmann, Armin
17
1995
Density operators as an arena for differential geometry. Zbl 0822.46087
Uhlmann, Armin
28
1993
Parallel lifts and holonomy along density operators: Computable examples using \(O(3)\)-orbits. Zbl 0880.46053
Uhlmann, Armin
2
1993
The metric of Bures and the geometric phase. Zbl 0871.46042
Uhlmann, Armin
21
1992
A gauge field governing parallel transport along mixed states. Zbl 0723.58052
Uhlmann, Armin
38
1991
Parallel transport and holonomy along density operators. Zbl 0702.53054
Uhlmann, Armin
6
1987
Parallel transport and “quantum holonomy” along density operators. Zbl 0644.46058
Uhlmann, Armin
116
1986
The transition probability for states of *-algebras. Zbl 0571.60007
Uhlmann, A.
8
1985
Transition probabilities on \(W^*\)- and \(C^*\)-algebras. Zbl 0574.46051
Alberti, Peter M.; Uhlmann, Armin
5
1984
The Cartan algebra of exterior differential forms as a supermanifold: morphisms and manifolds associated with them. Zbl 0587.58006
Uhlmann, Armin
3
1984
Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics, Leipzig, September 25 - October 2, 1983. Zbl 0535.00014
2
1984
Stochastic linear maps and transition probability. Zbl 0538.46052
Alberti, Peter M.; Uhlmann, Armin
12
1983
Stochasticity and partial order. Doubly stochastic maps and unitary mixing. (Licensed ed.). Zbl 0491.46045
Alberti, Peter M.; Uhlmann, Armin
37
1982
On stochastic maps of \(C^*\)-algebraic state spaces. Zbl 0542.46034
Uhlmann, Armin
1
1982
Stochasticity and partial order. Doubly stochastic maps and unitary mixing. Zbl 0474.46047
Alberti, P. M.; Uhlmann, A.
32
1981
Dissipative motion in state spaces. Zbl 0497.46041
Alberti, Peter M.; Uhlmann, Armin
11
1981
A note on stochastic dynamics in the state space of a commutative C* algebra. Zbl 0483.46044
Alberti, Peter M.; Uhlmann, Armin
3
1981
A problem relating to positive linear maps on matrix algebras. Zbl 0534.15014
Alberti, P. M.; Uhlmann, A.
19
1980
Existence and density theorems for stochastic maps on commutative C*- algebras. Zbl 0462.46037
Alberti, Peter M.; Uhlmann, Armin
4
1980
Remarks on the relation between quantum and classical entropy as proposed by A. Wehrl. Zbl 0535.46051
Uhlmann, Armin
1
1980
Ordnungsstrukturen im Raum der gemischten Zustände und die H-Theoreme von Felderhof-van Kampen. Zbl 0391.60099
Uhlmann, A.
3
1978
The order structure of states in C*- and W*-algebras. Zbl 0404.46042
Alberti, P. M.; Uhlmann, A.
3
1978
Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory. Zbl 0358.46026
Uhlmann, A.
144
1977
The ”transition probability” in the state space of a \(^*\)-algebra. Zbl 0355.46040
Uhlmann, A.
282
1976
On the Shannon entropy and related functionals on convex sets. Zbl 0209.43101
Uhlmann, A.
13
1970
On positive functionals on algebras of test functions for quantum fields. Zbl 0152.46305
Lassner, G.; Uhlmann, A.
11
1968
The closure of Minkowski space. Zbl 0115.42303
Uhlmann, A.
9
1963
Remark on the future tube. Zbl 0115.42302
Uhlmann, A.
2
1963
Über die Definition der Quantenfelder nach Wightman und Haag. Zbl 0119.43804
Uhlmann, A.
26
1962
Untersuchungen über Quantentheorien mit indefiniter Metrik. Zbl 0085.43101
Uhlmann, A.
1
1959
all top 5

Cited by 648 Authors

26 Yu, Zhaoxian
19 Jiao, Zhiyong
14 Uhlmann, Armin
8 Liu, Fuping
7 Wang, Anling
6 Alberti, Peter M.
6 Dittmann, Jochen
6 Petz, Dénes
6 Sjöqvist, Erik
6 Wang, Zisheng
5 Horodecki, Michał
5 Horodecki, Paweł
5 Reeb, David
5 Ruskai, Mary Beth
5 Xu, Hualan
4 Fu, Guolan
4 Horodecki, Ryszard
4 Hu, Liyun
4 Li, Chi-Kwong
4 Li, Xianggui
4 Marmo, Giuseppe
4 Rastëgin, Alekseĭ Èduardovich
4 Sauerbrei, Sonja
4 Wolf, Michael Marc
3 Amniat-Talab, Mahdi
3 Fei, Shaoming
3 Filipp, Stefan
3 Hassanabadi, Hassan
3 Hayden, Patrick M.
3 Hiai, Fumio
3 Hofmann, Gerald
3 Jahromi, H. Rangani
3 Jenčová, Anna
3 Jin, Shuo
3 Jozsa, Richard
3 Lari, Behzad
3 Li, Yuan
3 Lim, Yongdo
3 Martin, Keye
3 Muthuganesan, R.
3 Paulson, Kavalambramalil G.
3 Plath, Peter Jörg
3 Qin, Xianming
3 Rudolph, Gerd
3 Sankaranarayanan, Ramasubramanian
3 Spagnolo, Bernardo
3 Sze, Nung-Sing
3 Valenti, Davide
3 Vedral, Vlatko
3 Wang, Yinzhu
3 Xie, Binghao
3 Yamagami, Shigeru
3 Yu, Yanxia
3 Zhang, Fulin
3 Życzkowski, Karol
2 Akhtarshenas, Seyed Javad
2 Andersson, Ole
2 Ando, Tsuyoshi
2 Bengtsson, Ingemar
2 Berrada, K.
2 Bhatia, Rajendra
2 Blackmore, Denis L.
2 Busch, Paul
2 Cai, Huabing
2 Carollo, Angelo C. M.
2 Chaturvedi, Subhash
2 Chen, Jingling
2 Chruściński, Dariusz
2 Ciaglia, Florio Maria
2 Corach, Gustavo
2 Crell, Bernd
2 Czerwiński, Artur
2 Deng, Yuxin
2 Dubkov, Alexander A.
2 Fan, Heng
2 Gibilisco, Paolo
2 Gimeno, Vicent
2 Gowda, Muddappa Seetharama
2 Hasegawa, Hiroshi H.
2 Haß, Ernst-Christoph
2 Hassouni, Yassine
2 Heydari, Hoshang
2 Hou, Jinchuan
2 Hu, Xueyuan
2 Huang, Siendong
2 Jain, Tanvi
2 Jiang, Yanyan
2 Jivulescu, Maria Anastasia
2 Kirklin, Josh
2 Kourbolagh, Y. Akbari
2 Kum, Sangho
2 Kuś, Marek
2 Kye, Seunghyeok
2 Lehmann, Jörg
2 Li, Fuli
2 Li, Xiaoyu
2 Liu, Qiang
2 Liu, Yaxue
2 Liu, Yi Bao
2 Loss, Daniel
...and 548 more Authors
all top 5

Cited in 89 Serials

57 International Journal of Theoretical Physics
34 Quantum Information Processing
32 Journal of Mathematical Physics
27 Reports on Mathematical Physics
22 Linear Algebra and its Applications
19 Physics Letters. A
13 Communications in Mathematical Physics
13 Journal of Physics A: Mathematical and Theoretical
12 International Journal of Quantum Information
11 Annals of Physics
8 Journal of Geometry and Physics
8 Journal of High Energy Physics
7 Letters in Mathematical Physics
7 New Journal of Physics
6 Physics Reports
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Physical Review Letters
5 Journal of Mathematical Analysis and Applications
5 Physica A
5 Open Systems & Information Dynamics
5 Annalen der Physik
4 Modern Physics Letters B
4 International Journal of Modern Physics B
4 Journal of Statistical Physics
4 Linear and Multilinear Algebra
4 Entropy
3 International Journal of Modern Physics A
3 Theoretical Computer Science
3 Foundations of Physics
2 Classical and Quantum Gravity
2 Computer Physics Communications
2 Reviews of Modern Physics
2 Reviews in Mathematical Physics
2 Journal of Computer and System Sciences
2 Proceedings of the American Mathematical Society
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Discrete Dynamics in Nature and Society
2 Journal of Modern Optics
2 Journal of Statistical Mechanics: Theory and Experiment
2 Physical Review A, Third Series
2 Information Geometry
1 Modern Physics Letters A
1 Houston Journal of Mathematics
1 Inverse Problems
1 Periodica Mathematica Hungarica
1 Physics Letters. B
1 Theoretical and Mathematical Physics
1 Transport Theory and Statistical Physics
1 Chaos, Solitons and Fractals
1 Fortschritte der Physik
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Applied Probability
1 Journal of Functional Analysis
1 Journal of Multivariate Analysis
1 Mathematics and Computers in Simulation
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Results in Mathematics
1 Theory and Decision
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Annals of Global Analysis and Geometry
1 Mathematical and Computer Modelling
1 International Journal of Mathematics
1 European Journal of Applied Mathematics
1 Computational Mathematics and Mathematical Physics
1 SIAM Journal on Mathematical Analysis
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Advances in Computational Mathematics
1 ELA. The Electronic Journal of Linear Algebra
1 Journal of Mathematical Chemistry
1 Mathematical Physics, Analysis and Geometry
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Annales Henri Poincaré
1 Nonlinear Functional Analysis and Applications
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of Machine Learning Research (JMLR)
1 International Journal of Geometric Methods in Modern Physics
1 The European Physical Journal C. Particles and Fields
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Advances in High Energy Physics
1 Communications in Theoretical Physics
1 Journal of Geometric Mechanics
1 Quanta
1 Quantum Studies: Mathematics and Foundations
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
all top 5

Cited in 46 Fields

322 Quantum theory (81-XX)
65 Functional analysis (46-XX)
59 Information and communication theory, circuits (94-XX)
46 Statistical mechanics, structure of matter (82-XX)
43 Operator theory (47-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
32 Differential geometry (53-XX)
21 Probability theory and stochastic processes (60-XX)
12 Statistics (62-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Computer science (68-XX)
9 Relativity and gravitational theory (83-XX)
8 Mechanics of particles and systems (70-XX)
8 Operations research, mathematical programming (90-XX)
6 Nonassociative rings and algebras (17-XX)
6 Measure and integration (28-XX)
6 Partial differential equations (35-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
4 Combinatorics (05-XX)
4 Algebraic geometry (14-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Geometry (51-XX)
4 Algebraic topology (55-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Group theory and generalizations (20-XX)
3 General topology (54-XX)
3 Numerical analysis (65-XX)
3 Optics, electromagnetic theory (78-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Biology and other natural sciences (92-XX)
2 Mathematical logic and foundations (03-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Convex and discrete geometry (52-XX)
2 Fluid mechanics (76-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Systems theory; control (93-XX)

Citations by Year

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