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Kholevo, Aleksandr Semënovich

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Author ID: holevo.alexander-s Recent zbMATH articles by "Kholevo, Aleksandr Semënovich"
Published as: Holevo, A. S.; Holevo, Aleksandr S.; Holevo, Aleksandr Semenovich; Holevo, Alexander S.; Kholevo, A. S.
Homepage: http://www.mi.ras.ru/~holevo
External Links: Math-Net.Ru · Wikidata · ORCID · dblp · GND
Documents Indexed: 165 Publications since 1965, including 8 Books
Reviewing Activity: 103 Reviews
Biographic References: 3 Publications
all top 5

Serials

24 Theory of Probability and its Applications
12 Problems of Information Transmission
9 Russian Mathematical Surveys
8 Reports on Mathematical Physics
7 Journal of Mathematical Physics
7 Teoriya Veroyatnosteĭ i eë Primeneniya
7 Theoretical and Mathematical Physics
5 Teoreticheskaya i Matematicheskaya Fizika
5 Problemy Peredachi Informatsii
4 IEEE Transactions on Information Theory
3 Journal of Multivariate Analysis
3 Journal of Soviet Mathematics
3 Mathematical Methods of Statistics
3 Izvestiya: Mathematics
2 Communications in Mathematical Physics
2 Mathematical Notes
2 Soviet Mathematics
2 Quantum Information Processing
2 International Journal of Quantum Information
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Functional Analysis and its Applications
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika
1 Journal of Functional Analysis
1 Mathematics of the USSR. Izvestiya
1 Sankhyā. Series A. Methods and Techniques
1 Soviet Mathematics. Doklady
1 Transactions of the Moscow Mathematical Society
1 Probability and Mathematical Statistics
1 Probability Theory and Related Fields
1 Journal of Theoretical Probability
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Stochastic Processes and their Applications
1 Russian Academy of Sciences. Doklady. Mathematics
1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki
1 Doklady Mathematics
1 Open Systems & Information Dynamics
1 Lobachevskii Journal of Mathematics
1 Foundations of Physics
1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Quantum Information & Computation
1 De Gruyter Studies in Mathematical Physics
1 Lektsionnye Kursy NOTs
1 Texts and Monographs in Theoretical Physics

Publications by Year

Citations contained in zbMATH

119 Publications have been cited 1,585 times in 1,062 Documents Cited by Year
Probabilistic and statistical aspects of quantum theory. Translated from the Russian by the author. Zbl 0497.46053
Holevo, A. S.
306
1982
The capacity of the quantum channel with general signal states. Zbl 0897.94008
Holevo, A. S.
125
1998
Statistical structure of quantum theory. Zbl 0999.81001
Holevo, Alexander S.
105
2001
Quantum systems, channels, information. A mathematical introduction. Zbl 1332.81003
Holevo, Alexander S.
75
2012
Statistical decision theory for quantum systems. Zbl 0275.62004
Holevo, A. S.
60
1973
Probabilistic and statistical aspects of quantum theory. With a foreword from the second Russian edition by K. A. Valiev. 2nd ed. Zbl 1338.81001
Holevo, Alexander S.
57
2011
Quantum coding theorems. Zbl 1020.94008
Holevo, A. S.
49
1998
Counterexample to an additivity conjecture for output purity of quantum channels. Quantum information theory. Zbl 1060.94008
Werner, R. F.; Holevo, A. S.
46
2002
Some estimates of information transmitted through quantum communication channel. Zbl 0317.94003
Holevo, A. S.
46
1973
Constructing quantum measurement processes via classical stochastic calculus. Zbl 0829.60050
Barchielli, A.; Holevo, A. S.
29
1995
On entanglement-assisted classical capacity. Quantum information theory. Zbl 1060.94003
Holevo, A. S.
22
2002
On dissipative stochastic equations in a Hilbert space. Zbl 0842.60060
Holevo, A. S.
20
1996
Covariant measurements and uncertainty relations. Zbl 0447.62011
Kholevo, A. S.
20
1979
On the additivity conjecture in quantum information theory. Zbl 0983.81004
Amosov, G. G.; Holevo, A. S.; Werner, R. F.
19
2000
Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051
Holevo, A. S.
17
2015
Covariant quantum Markovian evolutions. Zbl 0869.60102
Holevo, A. S.
17
1996
An analog of the theory of statistical decisions in noncommutative probability theory. Zbl 0289.62007
Holevo, A. S.
17
1972
A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046
Giovannetti, V.; Holevo, A. S.; García-Patrón, R.
16
2015
A note on covariant dynamical semigroups. Zbl 0794.47026
Holevo, A. S.
16
1993
On asymptotically optimal hypothesis testing in quantum statistics. Zbl 0426.62085
Holevo, A. S.
16
1979
Information capacity of a quantum observable. Zbl 1283.94026
Holevo, A. S.
15
2012
Entanglement-breaking channels in infinite dimensions. Zbl 1173.81304
Holevo, A. S.
15
2008
Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013
Holevo, A. S.; Shirokov, M. E.
15
2006
Complementary channels and the additivity problem. Zbl 1113.81022
Holevo, A. S.
14
2007
Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502
Holevo, A. S.
14
1998
On the structure of covariant dynamical semigroups. Zbl 0827.46053
Holevo, A. S.
14
1995
Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046
Holevo, A. S.
13
2011
One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036
Holevo, A. S.
13
2007
Additivity conjecture and covariant channels. Zbl 1133.81320
Holevo, A. S.
13
2005
Complementarity and additivity for covariant channels. Zbl 1106.68367
Datta, N.; Fukuda, M.; Holevo, A. S.
11
2006
On Shor’s channel extension and constrained channels. Zbl 1080.81005
Holevo, A. S.; Shirokov, M. E.
11
2004
Probabilistic and statistical aspects in quantum theory. (Veroyatnostnye i statisticheskie aspekty kvantovoj teorii). Zbl 0508.60086
Kholevo, A. S.
11
1980
Estimation of shift parameters of a quantum state. Zbl 0402.47006
Holevo, A. S.
11
1978
Statistical problems in quantum physics. Zbl 0265.62037
Holevo, A. S.
11
1973
On estimates of regression coefficients. Zbl 0199.53601
Kholevo, A. S.
11
1969
Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020
Holevo, A. S.; Shirokov, M. E.
9
2010
On the concept of entanglement in Hilbert spaces. Zbl 1098.47019
Werner, R. F.; Kholevo, A. S.; Shirokov, M. E.
9
2005
Coding theorems of quantum information theory. Zbl 1030.94020
Holevo, A. S.
9
2001
On conservativity of covariant dynamical semigroups. Zbl 0808.60064
Holevo, A. S.
9
1993
The semigroup sturucture of Gaussian channels. Zbl 1247.81068
Heinosaari, Teiko; Holevo, Alexander S.; Wolf, Michael M.
8
2010
Multiplicativity of \(p\)-norms of completely positive maps and the additivity problem in quantum information theory. Zbl 1325.81052
Holevo, A. S.
8
2006
Additivity for transpose depolarizing channels. Zbl 1090.81014
Datta, Nilanjana; Holevo, Alexander S.; Suhov, Yuri
8
2006
Entanglement-assisted capacities of constrained quantum channels. Zbl 1056.94006
Kholevo, A. S.
8
2003
Time-ordered exponentials in quantum stochastic calculus. Zbl 0803.46072
Holevo, A. S.
8
1992
Problems in the mathematical theory of quantum communication channels. Zbl 0379.94001
Holevo, A. S.
8
1977
Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047
Giovannetti, V.; Holevo, A. S.; Mari, A.
7
2015
Normal form decomposition for Gaussian-to-Gaussian superoperators. Zbl 1316.81013
De Palma, Giacomo; Mari, Andrea; Giovannetti, Vittorio; Holevo, Alexander S.
7
2015
The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015
Holevo, A. S.
7
2011
Error exponents for quantum channels with constrained inputs. Zbl 0974.81006
Holevo, A. S.; Sohma, M.; Hirota, O.
7
2000
Reliability function of general classical-quantum channel. Zbl 1002.94014
Holevo, A. S.
7
2000
Quantum communication, computing, and measurement. Zbl 0894.00057
Hirota, O. (ed.); Holevo, A. S. (ed.); Caves, C. M. (ed.)
7
1997
Quantum stochastic calculus. Zbl 0732.60066
Kholevo, A. S.
7
1991
Statistical definition of observable and the structure of statistical models. Zbl 0607.46048
Kholevo, A. S.
7
1985
Quantum-probabilistic analysis of counting statistics with an application to the ”Dolinar receiver”. Zbl 0516.60052
Kholevo, A. S.
7
1982
Unbounded generators of dynamical semigroups. Zbl 1381.81068
Siemon, I.; Holevo, A. S.; Werner, R. F.
6
2017
Extreme bosonic linear channels. Zbl 1287.81034
Holevo, A. S.
6
2013
The additivity problem in quantum information theory. Zbl 1100.94007
Holevo, Alexander S.
6
2006
On the reliability function for a quantum communication channel. Zbl 1113.81301
Burnashev, M. V.; Holevo, A. S.
6
1998
Exponential formulae in quantum stochastic calculus. Zbl 0846.60097
Holevo, A. S.
6
1996
On the constrained classical capacity of infinite-dimensional covariant quantum channels. Zbl 1330.81055
Holevo, A. S.
5
2016
Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results. Zbl 1200.81013
Giovannetti, V.; Holevo, A. S.; Lloyd, S.; Maccone, L.
5
2010
On a sufficient condition for additivity in quantum information theory. Zbl 1089.94014
Datta, N.; Holevo, A. S.; Suhov, Yu. M.
5
2005
On a generalization of canonical quantization. Zbl 0613.22012
Kholevo, A. S.
5
1987
On quasiequivalence of locally normal states. Zbl 0285.46052
Holevo, A. S.
5
1973
On the quantum Gaussian optimizers conjecture in the case \( q=p\). Zbl 1403.81007
Holevo, Alexander S.
4
2017
The entropy gain of infinite-dimensional quantum evolutions. Zbl 1236.81051
Holevo, A. S.
4
2010
Quantum and classical stochastic calculus. Zbl 1078.81047
Holevo, A. S.
4
2003
On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005
Amosov, G. G.; Kholevo, A. S.
4
2002
An analogue of Hunt’s representation theorem in quantum probability. Zbl 0770.60003
Barchielli, A.; Kholevo, A. S.; Lupieri, G.
4
1993
Bounds for generalized uncertainty of the shift parameter. Zbl 0536.60042
Holevo, A. S.
4
1983
Noncommutative analogues of the Cramer-Rao inequality in the quantum measurement theory. Zbl 0348.62016
Holevo, A. S.
4
1976
On the classical capacity of a channel with stationary quantum Gaussian noise. Zbl 1395.81065
Holevo, A. S.
3
2018
On classical capacities of infinite-dimensional quantum channels. Zbl 1271.81040
Holevo, A. S.; Shirokov, M. E.
3
2013
Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory. Zbl 1009.81013
Holevo, A. S.
3
2001
Stochastic differential equations in Hilbert space and quantum Markovian evolutions. Zbl 0953.81044
Holevo, A. S.
3
1996
Conditionally positive definite functions in quantum probability. Zbl 0683.46046
Holevo, A. S.
3
1987
Generalized imprimitivity systems for Abelian groups. Zbl 0566.22009
Kholevo, A. S.
3
1983
Testing statistical hypotheses in quantum theory. Zbl 0539.62011
Holevo, A. S.
3
1982
On asymptotically optimal hypotheses testing in quantum statistics. Zbl 0396.62088
Holevo, A. S.
3
1978
Investigations in the general theory of statistical decisions. Zbl 0497.62010
Kholevo, A. S.
3
1976
Some statistical problems for quantum Gaussian states. Zbl 0317.94004
Holevo, Alexander S.
3
1975
Information theory aspects of quantum measurement. Zbl 0317.94002
Holevo, A. S.
3
1973
Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 07150887
Shirokov, M. E.; Holevo, A. S.
2
2019
On singular perturbations of quantum dynamical semigroups. Zbl 06893879
Holevo, A. S.
2
2018
On lower semicontinuity of the entropic disturbance and its applications in quantum information theory. Zbl 1381.81029
Shirokov, Maxim E.; Holevo, Alexander S.
2
2017
On the proof of the majorization theorem for quantum Gaussian channels. Zbl 1349.81059
Holevo, A. S.
2
2016
Extreme covariant observables for type I symmetry groups. Zbl 1235.81016
Holevo, Alexander S.; Pellonpää, Juha-Pekka
2
2009
Excessive maps, “arrival times” and perturbation of dynamical semigroups. Zbl 0877.47026
Holevo, A. S.
2
1995
Infinitely divisible measurements in quantum probability theory. Zbl 0623.60005
Kholevo, A. S.
2
1987
Commutation superoperator of a state and its applications to the noncommutative statistics. Zbl 0369.46058
Holevo, A. S.
2
1977
The theory of statistical decisions on an operator algebra. Zbl 0449.62006
Kholevo, A. S.
2
1974
Note on optimal quantum measurements. Zbl 0309.94001
Holevo, A. S.
2
1974
A generalization of the Rao-Cramer inequality. Zbl 0289.62008
Holevo, A. S.
2
1973
Some statistical problems for quantum fields. Zbl 0253.60089
Holevo, A. S.
2
1972
On the asymptotic normality of estimates of regression coefficients. Zbl 0254.62017
Holevo, A. S.
2
1971
Almost-periodic signal estimation. Zbl 0254.60029
Holevo, A. S.
2
1971
Verallgemeinerte freie Zustände der \(C^ *\)-Algebra der Kommutationsrelationen. Zbl 0207.44303
Holevo, A. S.
2
1971
Coding theorems for hybrid channels. Zbl 1378.94016
Kuznetsova, A. A.; Holevo, A. S.
1
2014
On approximation of infinite-dimensional quantum channels. Zbl 1447.94014
Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich
1
2008
Quantum shared broadcasting. Zbl 1144.81439
Giovannetti, V.; Holevo, A. S.
1
2008
Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 07150887
Shirokov, M. E.; Holevo, A. S.
2
2019
On the classical capacity of a channel with stationary quantum Gaussian noise. Zbl 1395.81065
Holevo, A. S.
3
2018
On singular perturbations of quantum dynamical semigroups. Zbl 06893879
Holevo, A. S.
2
2018
Unbounded generators of dynamical semigroups. Zbl 1381.81068
Siemon, I.; Holevo, A. S.; Werner, R. F.
6
2017
On the quantum Gaussian optimizers conjecture in the case \( q=p\). Zbl 1403.81007
Holevo, Alexander S.
4
2017
On lower semicontinuity of the entropic disturbance and its applications in quantum information theory. Zbl 1381.81029
Shirokov, Maxim E.; Holevo, Alexander S.
2
2017
On the constrained classical capacity of infinite-dimensional covariant quantum channels. Zbl 1330.81055
Holevo, A. S.
5
2016
On the proof of the majorization theorem for quantum Gaussian channels. Zbl 1349.81059
Holevo, A. S.
2
2016
Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051
Holevo, A. S.
17
2015
A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046
Giovannetti, V.; Holevo, A. S.; García-Patrón, R.
16
2015
Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047
Giovannetti, V.; Holevo, A. S.; Mari, A.
7
2015
Normal form decomposition for Gaussian-to-Gaussian superoperators. Zbl 1316.81013
De Palma, Giacomo; Mari, Andrea; Giovannetti, Vittorio; Holevo, Alexander S.
7
2015
Coding theorems for hybrid channels. Zbl 1378.94016
Kuznetsova, A. A.; Holevo, A. S.
1
2014
Extreme bosonic linear channels. Zbl 1287.81034
Holevo, A. S.
6
2013
On classical capacities of infinite-dimensional quantum channels. Zbl 1271.81040
Holevo, A. S.; Shirokov, M. E.
3
2013
Quantum systems, channels, information. A mathematical introduction. Zbl 1332.81003
Holevo, Alexander S.
75
2012
Information capacity of a quantum observable. Zbl 1283.94026
Holevo, A. S.
15
2012
Probabilistic and statistical aspects of quantum theory. With a foreword from the second Russian edition by K. A. Valiev. 2nd ed. Zbl 1338.81001
Holevo, Alexander S.
57
2011
Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046
Holevo, A. S.
13
2011
The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015
Holevo, A. S.
7
2011
Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020
Holevo, A. S.; Shirokov, M. E.
9
2010
The semigroup sturucture of Gaussian channels. Zbl 1247.81068
Heinosaari, Teiko; Holevo, Alexander S.; Wolf, Michael M.
8
2010
Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results. Zbl 1200.81013
Giovannetti, V.; Holevo, A. S.; Lloyd, S.; Maccone, L.
5
2010
The entropy gain of infinite-dimensional quantum evolutions. Zbl 1236.81051
Holevo, A. S.
4
2010
Extreme covariant observables for type I symmetry groups. Zbl 1235.81016
Holevo, Alexander S.; Pellonpää, Juha-Pekka
2
2009
Entanglement-breaking channels in infinite dimensions. Zbl 1173.81304
Holevo, A. S.
15
2008
On approximation of infinite-dimensional quantum channels. Zbl 1447.94014
Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich
1
2008
Quantum shared broadcasting. Zbl 1144.81439
Giovannetti, V.; Holevo, A. S.
1
2008
Complementary channels and the additivity problem. Zbl 1113.81022
Holevo, A. S.
14
2007
One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036
Holevo, A. S.
13
2007
Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013
Holevo, A. S.; Shirokov, M. E.
15
2006
Complementarity and additivity for covariant channels. Zbl 1106.68367
Datta, N.; Fukuda, M.; Holevo, A. S.
11
2006
Multiplicativity of \(p\)-norms of completely positive maps and the additivity problem in quantum information theory. Zbl 1325.81052
Holevo, A. S.
8
2006
Additivity for transpose depolarizing channels. Zbl 1090.81014
Datta, Nilanjana; Holevo, Alexander S.; Suhov, Yuri
8
2006
The additivity problem in quantum information theory. Zbl 1100.94007
Holevo, Alexander S.
6
2006
Additivity conjecture and covariant channels. Zbl 1133.81320
Holevo, A. S.
13
2005
On the concept of entanglement in Hilbert spaces. Zbl 1098.47019
Werner, R. F.; Kholevo, A. S.; Shirokov, M. E.
9
2005
On a sufficient condition for additivity in quantum information theory. Zbl 1089.94014
Datta, N.; Holevo, A. S.; Suhov, Yu. M.
5
2005
On Shor’s channel extension and constrained channels. Zbl 1080.81005
Holevo, A. S.; Shirokov, M. E.
11
2004
Entanglement-assisted capacities of constrained quantum channels. Zbl 1056.94006
Kholevo, A. S.
8
2003
Quantum and classical stochastic calculus. Zbl 1078.81047
Holevo, A. S.
4
2003
Counterexample to an additivity conjecture for output purity of quantum channels. Quantum information theory. Zbl 1060.94008
Werner, R. F.; Holevo, A. S.
46
2002
On entanglement-assisted classical capacity. Quantum information theory. Zbl 1060.94003
Holevo, A. S.
22
2002
On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005
Amosov, G. G.; Kholevo, A. S.
4
2002
Statistical structure of quantum theory. Zbl 0999.81001
Holevo, Alexander S.
105
2001
Coding theorems of quantum information theory. Zbl 1030.94020
Holevo, A. S.
9
2001
Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory. Zbl 1009.81013
Holevo, A. S.
3
2001
On the additivity conjecture in quantum information theory. Zbl 0983.81004
Amosov, G. G.; Holevo, A. S.; Werner, R. F.
19
2000
Error exponents for quantum channels with constrained inputs. Zbl 0974.81006
Holevo, A. S.; Sohma, M.; Hirota, O.
7
2000
Reliability function of general classical-quantum channel. Zbl 1002.94014
Holevo, A. S.
7
2000
Letter to the editor: On the reliability function of a quantum communication channel. Zbl 1029.94022
Burnashev, M. V.; Holevo, A. S.
1
1999
The capacity of the quantum channel with general signal states. Zbl 0897.94008
Holevo, A. S.
125
1998
Quantum coding theorems. Zbl 1020.94008
Holevo, A. S.
49
1998
Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502
Holevo, A. S.
14
1998
On the reliability function for a quantum communication channel. Zbl 1113.81301
Burnashev, M. V.; Holevo, A. S.
6
1998
Quantum communication, computing, and measurement. Zbl 0894.00057
Hirota, O. (ed.); Holevo, A. S. (ed.); Caves, C. M. (ed.)
7
1997
On dissipative stochastic equations in a Hilbert space. Zbl 0842.60060
Holevo, A. S.
20
1996
Covariant quantum Markovian evolutions. Zbl 0869.60102
Holevo, A. S.
17
1996
Exponential formulae in quantum stochastic calculus. Zbl 0846.60097
Holevo, A. S.
6
1996
Stochastic differential equations in Hilbert space and quantum Markovian evolutions. Zbl 0953.81044
Holevo, A. S.
3
1996
There exists a non-standard dynamical semigroup on \(\mathcal L(\mathcal H)\). Zbl 1042.46513
Kholevo, A. S.
1
1996
Constructing quantum measurement processes via classical stochastic calculus. Zbl 0829.60050
Barchielli, A.; Holevo, A. S.
29
1995
On the structure of covariant dynamical semigroups. Zbl 0827.46053
Holevo, A. S.
14
1995
Excessive maps, “arrival times” and perturbation of dynamical semigroups. Zbl 0877.47026
Holevo, A. S.
2
1995
On translation-covariant quantum Markov equations. Zbl 0901.60090
Kholevo, A. S.
1
1995
A note on covariant dynamical semigroups. Zbl 0794.47026
Holevo, A. S.
16
1993
On conservativity of covariant dynamical semigroups. Zbl 0808.60064
Holevo, A. S.
9
1993
An analogue of Hunt’s representation theorem in quantum probability. Zbl 0770.60003
Barchielli, A.; Kholevo, A. S.; Lupieri, G.
4
1993
Time-ordered exponentials in quantum stochastic calculus. Zbl 0803.46072
Holevo, A. S.
8
1992
Quantum stochastic calculus. Zbl 0732.60066
Kholevo, A. S.
7
1991
Conditionally positive definite functions on the coefficient algebra of a nonabelian group. Zbl 0739.46045
Denisov, L. V.; Kholevo, A. S.
1
1990
An analog of the Itô decomposition for multiplicative processes with values in a Lie group. Zbl 0781.60060
Kholevo, A. S.
1
1990
Limit theorems for repeated measurements and continuous measurement processes. Zbl 0679.60075
Holevo, A. S.
1
1989
Conditionally positive-definite functions in quantum probability theory. Zbl 0735.46044
Kholevo, A. S.
1
1989
A noncommutative generalization of conditionally positive definite functions. Zbl 0647.46050
Holevo, A. S.
1
1988
On a generalization of canonical quantization. Zbl 0613.22012
Kholevo, A. S.
5
1987
Conditionally positive definite functions in quantum probability. Zbl 0683.46046
Holevo, A. S.
3
1987
Infinitely divisible measurements in quantum probability theory. Zbl 0623.60005
Kholevo, A. S.
2
1987
A representation of Lévy-Khinchine type in quantum probability theory. Zbl 0664.60006
Kholevo, A. S.
1
1987
On a generalization of canonical quantization. Zbl 0606.22015
Kholevo, A. S.
1
1986
Statistical definition of observable and the structure of statistical models. Zbl 0607.46048
Kholevo, A. S.
7
1985
Covariant measurements and imprimitivity systems. Zbl 0577.22009
Holevo, A. S.
1
1984
Bounds for generalized uncertainty of the shift parameter. Zbl 0536.60042
Holevo, A. S.
4
1983
Generalized imprimitivity systems for Abelian groups. Zbl 0566.22009
Kholevo, A. S.
3
1983
Generalized imprimitivity systems for Abelian groups. Zbl 0536.22012
Kholevo, A. S.
1
1983
Probabilistic and statistical aspects of quantum theory. Translated from the Russian by the author. Zbl 0497.46053
Holevo, A. S.
306
1982
Quantum-probabilistic analysis of counting statistics with an application to the ”Dolinar receiver”. Zbl 0516.60052
Kholevo, A. S.
7
1982
Testing statistical hypotheses in quantum theory. Zbl 0539.62011
Holevo, A. S.
3
1982
Probabilistic and statistical aspects in quantum theory. (Veroyatnostnye i statisticheskie aspekty kvantovoj teorii). Zbl 0508.60086
Kholevo, A. S.
11
1980
Capacity of a quantum communications channel. Zbl 0449.94010
Kholevo, A. S.
1
1980
Covariant measurements and uncertainty relations. Zbl 0447.62011
Kholevo, A. S.
20
1979
On asymptotically optimal hypothesis testing in quantum statistics. Zbl 0426.62085
Holevo, A. S.
16
1979
On the capacity of a quantum communication channel. Zbl 0433.94008
Kholevo, A. S.
1
1979
A regression problem for time-continuous processes. Zbl 0428.62054
Rasulov, N. P.; Kholevo, A. S.
1
1979
Estimation of shift parameters of a quantum state. Zbl 0402.47006
Holevo, A. S.
11
1978
On asymptotically optimal hypotheses testing in quantum statistics. Zbl 0396.62088
Holevo, A. S.
3
1978
A regression problem for processes with continuous time. Zbl 0397.62058
Rasulov, N. P.; Holevo, A. S.
1
1978
Problems in the mathematical theory of quantum communication channels. Zbl 0379.94001
Holevo, A. S.
8
1977
Commutation superoperator of a state and its applications to the noncommutative statistics. Zbl 0369.46058
Holevo, A. S.
2
1977
Noncommutative analogues of the Cramer-Rao inequality in the quantum measurement theory. Zbl 0348.62016
Holevo, A. S.
4
1976
...and 19 more Documents
all top 5

Cited by 1,184 Authors

47 Kholevo, Aleksandr Semënovich
29 Shirokov, Maksim Evgen’evich
23 Wilde, Mark M.
20 Winter, Andreas
18 Amosov, Grigori G.
18 Datta, Nilanjana
17 Lahti, Pekka Johannes
16 Pellonpää, Juha-Pekka
15 D’Ariano, Giacomo Mauro
15 Giovannetti, Vittorio
14 Heinosaari, Teiko
12 Jenčová, Anna
12 Wolf, Michael Marc
11 Barchielli, Alberto
11 Chiribella, Giulio
11 Kiukas, Jukka
11 Paris, Matteo G. A.
11 Pellegrini, Clément
11 Toigo, Alessandro
10 Beneduci, Roberto
10 Filippov, Sergey N.
10 Ruskai, Mary Beth
10 Sakbaev, Vsevolod Zhanovich
9 Ban, Masashi
9 Boche, Holger
9 Gudder, Stanley P.
9 Guta, Madalin I.
9 Man’ko, Vladimir Ivanovich
9 Pulmannová, Sylvia
8 Audenaert, Koenraad M. R.
8 Benatti, Fabio
8 De Palma, Giacomo
8 Fukuda, Motohisa
8 Gudder, Stan
8 Hayashi, Masahito
8 King, Christopher K.
8 Luo, Shunlong
8 Nechita, Ion
8 Petz, Dénes
8 Vacchini, Bassano
8 Ylinen, Kari
7 Cai, Minglai
7 Carmeli, Claudio
7 Hsieh, Min-Hsiu
7 Khrennikov, Andreĭ Yur’evich
7 Mora, Carlos M.
7 Mosonyi, Milán
7 Perinotti, Paolo
6 Belavkin, Viacheslav
6 Bugajski, Sławomir
6 Collins, Benoît
6 Floreanini, Roberto
6 Grabowski, Marian
6 Leung, Debbie W.
6 Mancini, Stefano
6 Ozawa, Masanao
6 Parthasarathy, Kalyanapuram Rangachari
6 Petersen, Ian Richard
6 Teretenkov, Alexander E.
5 Brody, Dorje C.
5 Cassinelli, Gianni
5 Deppe, Christian
5 Dvurečenskij, Anatolij
5 Haapasalo, Erkka Theodor
5 Hayden, Patrick M.
5 Junge, Marius
5 Lami, Ludovico
5 Lloyd, Seth
5 Montanaro, Ashley
5 Nötzel, Janis
5 Nussbaum, Michael
5 Schultz, Jussi
5 Shor, Peter Williston
5 Szkoła, Arleta
5 Tomamichel, Marco
5 Wang, Yazhen
5 Werner, Reinhard F.
4 Benoist, Tristan
4 Bhat, B. V. Rajarama
4 Brádler, Kamil
4 Buscemi, Francesco
4 Busch, Paul
4 Chebotarev, Alexandr M.
4 Das, Siddhartha
4 De Vito, Ernesto
4 Farenick, Douglas R.
4 Fraas, Martin
4 Fröhlich, Jürg Martin
4 Hirota, Osamu
4 Hughston, Lane P.
4 Ishikawa, Shiro
4 Keyl, Michael
4 Kozyrev, Sergeĭ Vladimirovich
4 Müller-Hermes, Alexander
4 Muñoz-Tapia, Ramon
4 Olkhovsky, Vladislav S.
4 Pechen’, Aleksandr Nikolaevich
4 Plosker, Sarah
4 Renner, Renato
4 Verstraete, Frank
...and 1,084 more Authors
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Cited in 151 Serials

171 Journal of Mathematical Physics
74 Quantum Information Processing
64 Communications in Mathematical Physics
58 International Journal of Theoretical Physics
47 Reports on Mathematical Physics
42 International Journal of Quantum Information
41 Physics Letters. A
26 Foundations of Physics
25 Journal of Physics A: Mathematical and Theoretical
19 New Journal of Physics
18 Lobachevskii Journal of Mathematics
17 Problems of Information Transmission
16 Linear Algebra and its Applications
14 Mathematical Notes
14 Annals of Physics
14 Open Systems & Information Dynamics
14 Infinite Dimensional Analysis, Quantum Probability and Related Topics
13 Theoretical and Mathematical Physics
12 The Annals of Statistics
12 Annales Henri Poincaré
12 Physical Review Letters
12 Physical Review A, Third Series
11 Reviews in Mathematical Physics
11 Journal of Mathematical Sciences (New York)
10 Letters in Mathematical Physics
8 Journal of Mathematical Analysis and Applications
8 Journal of Statistical Physics
8 Journal of Soviet Mathematics
8 Journal of Modern Optics
7 Reviews of Modern Physics
7 Journal of Functional Analysis
7 Mathematica Slovaca
7 Theoretical Computer Science
7 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
6 Journal of Multivariate Analysis
6 Russian Journal of Mathematical Physics
6 Proceedings of the Steklov Institute of Mathematics
5 Theory of Probability and its Applications
5 Fuzzy Sets and Systems
5 Entropy
4 International Journal of Modern Physics A
4 International Journal of Modern Physics B
4 Russian Mathematical Surveys
4 Advances in Mathematics
4 Statistics & Probability Letters
4 Information and Computation
4 Stochastic Processes and their Applications
4 Positivity
4 Quantum Studies: Mathematics and Foundations
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Modern Physics Letters B
3 Information Processing Letters
3 Physica A
3 Ukrainian Mathematical Journal
3 Automatica
3 Probability Theory and Related Fields
3 International Journal of Mathematics
3 Russian Mathematics
3 Journal of High Energy Physics
2 Indian Journal of Pure & Applied Mathematics
2 Linear and Multilinear Algebra
2 Physics Reports
2 Chaos, Solitons and Fractals
2 Journal of Geometry and Physics
2 Functional Analysis and its Applications
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Synthese
2 Statistical Science
2 Journal of Theoretical Probability
2 The Annals of Applied Probability
2 Mathematical Methods of Statistics
2 Sbornik: Mathematics
2 Doklady Mathematics
2 Journal of the Royal Statistical Society. Series B. Statistical Methodology
2 Statistical Inference for Stochastic Processes
2 International Journal of Geometric Methods in Modern Physics
2 Communications in Theoretical Physics
2 Advances in Mathematical Physics
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Axioms
1 Modern Physics Letters A
1 Journal of Computational Physics
1 Metrika
1 Moscow University Mathematics Bulletin
1 Periodica Mathematica Hungarica
1 Physics Letters. B
1 Mathematics of Computation
1 Fortschritte der Physik
1 Algebra Universalis
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Aplikace Matematiky
1 Applied Mathematics and Optimization
1 Information Sciences
1 Integral Equations and Operator Theory
1 International Journal of Circuit Theory and Applications
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
...and 51 more Serials
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Cited in 55 Fields

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

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