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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.; Kholevo, A. S.; Holevo, Alexander S.; Holevo, Alexander Semenovich; Holevo, Aleksander Semenovich; Kholevo, Aleksandr Semenovich; Holevo, Aleksandr Semenovich; Holevo, Aleksandr S.
Homepage: http://www.mi.ras.ru/~holevo
External Links: ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 168 Publications since 1965, including 8 Books
Reviewing Activity: 104 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 Journal of Mathematical Physics
8 Reports on 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
2 Proceedings of the Steklov Institute of Mathematics
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 Lecture Notes in Physics. New Series m: Monographs
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 Quaderni. Scuola Normale Superiore di Pisa. Monographs
1 Texts and Monographs in Theoretical Physics

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 1,623 times in 1,083 Documents Cited by Year
Probabilistic and statistical aspects of quantum theory. Translated from the Russian by the author. Zbl 0497.46053
Holevo, A. S.
297
1982
The capacity of the quantum channel with general signal states. Zbl 0897.94008
Holevo, A. S.
131
1998
Statistical structure of quantum theory. Zbl 0999.81001
Holevo, Alexander S.
100
2001
Quantum systems, channels, information. A mathematical introduction. Zbl 1332.81003
Holevo, Alexander S.
87
2012
Statistical decision theory for quantum systems. Zbl 0275.62004
Holevo, A. S.
60
1973
Quantum coding theorems. Zbl 1020.94008
Holevo, A. S.
53
1998
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.
52
2011
Counterexample to an additivity conjecture for output purity of quantum channels. Quantum information theory. Zbl 1060.94008
Werner, R. F.; Holevo, A. S.
48
2002
Some estimates of information transmitted through quantum communication channel. Zbl 0317.94003
Holevo, A. S.
41
1973
Constructing quantum measurement processes via classical stochastic calculus. Zbl 0829.60050
Barchielli, A.; Holevo, A. S.
31
1995
On entanglement-assisted classical capacity. Quantum information theory. Zbl 1060.94003
Holevo, A. S.
22
2002
Covariant measurements and uncertainty relations. Zbl 0447.62011
Kholevo, A. S.
20
1979
On dissipative stochastic equations in a Hilbert space. Zbl 0842.60060
Holevo, A. S.
20
1996
On the additivity conjecture in quantum information theory. Zbl 0983.81004
Amosov, G. G.; Holevo, A. S.; Werner, R. F.
19
2000
A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046
Giovannetti, V.; Holevo, A. S.; García-Patrón, R.
19
2015
An analog of the theory of statistical decisions in noncommutative probability theory. Zbl 0289.62007
Holevo, A. S.
18
1972
Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051
Holevo, A. S.
18
2015
Covariant quantum Markovian evolutions. Zbl 0869.60102
Holevo, A. S.
17
1996
Entanglement-breaking channels in infinite dimensions. Zbl 1173.81304
Holevo, A. S.
17
2008
Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013
Holevo, A. S.; Shirokov, M. E.
17
2006
Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046
Holevo, A. S.
16
2011
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
Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502
Holevo, A. S.
15
1998
Information capacity of a quantum observable. Zbl 1283.94026
Holevo, A. S.
15
2012
One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036
Holevo, A. S.
15
2007
Complementary channels and the additivity problem. Zbl 1113.81022
Holevo, A. S.
14
2007
Additivity conjecture and covariant channels. Zbl 1133.81320
Holevo, A. S.
14
2005
On the structure of covariant dynamical semigroups. Zbl 0827.46053
Holevo, A. S.
14
1995
Complementarity and additivity for covariant channels. Zbl 1106.68367
Datta, N.; Fukuda, M.; Holevo, A. S.
12
2006
Probabilistic and statistical aspects in quantum theory. (Veroyatnostnye i statisticheskie aspekty kvantovoj teorii). Zbl 0508.60086
Kholevo, A. S.
11
1980
On Shor’s channel extension and constrained channels. Zbl 1080.81005
Holevo, A. S.; Shirokov, M. E.
11
2004
On estimates of regression coefficients. Zbl 0199.53601
Kholevo, A. S.
11
1969
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.
10
1973
Entanglement-assisted capacities of constrained quantum channels. Zbl 1056.94006
Kholevo, A. S.
10
2003
Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020
Holevo, A. S.; Shirokov, M. E.
10
2010
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
On the concept of entanglement in Hilbert spaces. Zbl 1098.47019
Werner, R. F.; Kholevo, A. S.; Shirokov, M. E.
9
2005
Additivity for transpose depolarizing channels. Zbl 1090.81014
Datta, Nilanjana; Holevo, Alexander S.; Suhov, Yuri
9
2006
Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047
Giovannetti, V.; Holevo, A. S.; Mari, A.
9
2015
The semigroup sturucture of Gaussian channels. Zbl 1247.81068
Heinosaari, Teiko; Holevo, Alexander S.; Wolf, Michael M.
8
2010
Error exponents for quantum channels with constrained inputs. Zbl 0974.81006
Holevo, A. S.; Sohma, M.; Hirota, O.
8
2000
Time-ordered exponentials in quantum stochastic calculus. Zbl 0803.46072
Holevo, A. S.
8
1992
Quantum communication, computing, and measurement. Zbl 0894.00057
Hirota, O. (ed.); Holevo, A. S. (ed.); Caves, C. M. (ed.)
8
1997
Problems in the mathematical theory of quantum communication channels. Zbl 0379.94001
Holevo, A. S.
8
1977
Multiplicativity of \(p\)-norms of completely positive maps and the additivity problem in quantum information theory. Zbl 1325.81052
Holevo, A. S.
8
2006
Quantum stochastic calculus. Zbl 0732.60066
Kholevo, A. S.
8
1991
The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015
Holevo, A. S.
8
2011
Unbounded generators of dynamical semigroups. Zbl 1381.81068
Siemon, I.; Holevo, A. S.; Werner, R. F.
7
2017
Reliability function of general classical-quantum channel. Zbl 1002.94014
Holevo, A. S.
7
2000
Normal form decomposition for Gaussian-to-Gaussian superoperators. Zbl 1316.81013
De Palma, Giacomo; Mari, Andrea; Giovannetti, Vittorio; Holevo, Alexander S.
7
2015
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.
6
1982
Extreme bosonic linear channels. Zbl 1287.81034
Holevo, A. S.
6
2013
On quasiequivalence of locally normal states. Zbl 0285.46052
Holevo, A. S.
6
1973
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
The additivity problem in quantum information theory. Zbl 1100.94007
Holevo, Alexander S.
6
2006
On a sufficient condition for additivity in quantum information theory. Zbl 1089.94014
Datta, N.; Holevo, A. S.; Suhov, Yu. M.
5
2005
An analogue of Hunt’s representation theorem in quantum probability. Zbl 0770.60003
Barchielli, A.; Kholevo, A. S.; Lupieri, G.
5
1993
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
The entropy gain of infinite-dimensional quantum evolutions. Zbl 1236.81051
Holevo, A. S.
5
2010
On a generalization of canonical quantization. Zbl 0613.22012
Kholevo, A. S.
5
1987
Excessive maps, “arrival times” and perturbation of dynamical semigroups. Zbl 0877.47026
Holevo, A. S.
4
1995
On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005
Amosov, G. G.; Kholevo, A. S.
4
2002
Quantum and classical stochastic calculus. Zbl 1078.81047
Holevo, A. S.
4
2003
Bounds for generalized uncertainty of the shift parameter. Zbl 0536.60042
Holevo, A. S.
4
1983
Some statistical problems for quantum Gaussian states. Zbl 0317.94004
Holevo, Alexander S.
4
1975
On the quantum Gaussian optimizers conjecture in the case \( q=p\). Zbl 1403.81007
Holevo, Alexander S.
4
2017
Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory. Zbl 1009.81013
Holevo, A. S.
3
2001
Investigations in the general theory of statistical decisions. Zbl 0497.62010
Kholevo, A. S.
3
1976
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
Information theory aspects of quantum measurement. Zbl 0317.94002
Holevo, A. S.
3
1973
On asymptotically optimal hypotheses testing in quantum statistics. Zbl 0396.62088
Holevo, A. S.
3
1978
Testing statistical hypotheses in quantum theory. Zbl 0539.62011
Holevo, A. S.
3
1982
Generalized imprimitivity systems for Abelian groups. Zbl 0566.22009
Kholevo, A. S.
3
1983
On singular perturbations of quantum dynamical semigroups. Zbl 1456.47014
Holevo, A. S.
3
2018
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
Quantum systems, channels, information. A mathematical introduction. 2nd revised and extended edition. Zbl 1418.81001
Holevo, Alexander S.
3
2019
Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 07150887
Shirokov, M. E.; Holevo, A. S.
3
2019
Noncommutative analogues of the Cramer-Rao inequality in the quantum measurement theory. Zbl 0348.62016
Holevo, A. S.
2
1976
Almost-periodic signal estimation. Zbl 0254.60029
Holevo, A. S.
2
1971
On the asymptotic normality of estimates of regression coefficients. Zbl 0254.62017
Holevo, A. S.
2
1971
The theory of statistical decisions on an operator algebra. Zbl 0449.62006
Kholevo, A. S.
2
1974
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
A generalization of the Rao-Cramer inequality. Zbl 0289.62008
Holevo, A. S.
2
1973
Verallgemeinerte freie Zustände der \(C^ *\)-Algebra der Kommutationsrelationen. Zbl 0207.44303
Holevo, A. S.
2
1971
Extreme covariant observables for type I symmetry groups. Zbl 1235.81016
Holevo, Alexander S.; Pellonpää, Juha-Pekka
2
2009
Note on optimal quantum measurements. Zbl 0309.94001
Holevo, A. S.
2
1974
Commutation superoperator of a state and its applications to the noncommutative statistics. Zbl 0369.46058
Holevo, A. S.
2
1977
Infinitely divisible measurements in quantum probability theory. Zbl 0623.60005
Kholevo, A. S.
2
1987
On approximation of infinite-dimensional quantum channels. Zbl 1447.94014
Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich
2
2008
Gaussian maximizers for quantum Gaussian observables and ensembles. Zbl 1448.81511
Holevo, Alexander S.
2
2020
Verallgemeinert freie Zustände der \(C^ *\)-Algebra der Kommutationsrelationen. II. Zbl 0209.15301
Holevo, A. S.
1
1971
Gaussian maximizers for quantum Gaussian observables and ensembles. Zbl 1448.81511
Holevo, Alexander S.
2
2020
On conditions for an operator to be in the class \(\mathscr{S}_p \). Zbl 1444.47035
Holevo, Aleksandr S.
1
2020
Quantum systems, channels, information. A mathematical introduction. 2nd revised and extended edition. Zbl 1418.81001
Holevo, Alexander S.
3
2019
Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 07150887
Shirokov, M. E.; Holevo, A. S.
3
2019
On singular perturbations of quantum dynamical semigroups. Zbl 1456.47014
Holevo, A. S.
3
2018
On the classical capacity of a channel with stationary quantum Gaussian noise. Zbl 1395.81065
Holevo, A. S.
3
2018
Unbounded generators of dynamical semigroups. Zbl 1381.81068
Siemon, I.; Holevo, A. S.; Werner, R. F.
7
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
A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046
Giovannetti, V.; Holevo, A. S.; García-Patrón, R.
19
2015
Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051
Holevo, A. S.
18
2015
Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047
Giovannetti, V.; Holevo, A. S.; Mari, A.
9
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.
87
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.
52
2011
Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046
Holevo, A. S.
16
2011
The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015
Holevo, A. S.
8
2011
Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020
Holevo, A. S.; Shirokov, M. E.
10
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.
5
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.
17
2008
On approximation of infinite-dimensional quantum channels. Zbl 1447.94014
Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich
2
2008
Quantum shared broadcasting. Zbl 1144.81439
Giovannetti, V.; Holevo, A. S.
1
2008
One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036
Holevo, A. S.
15
2007
Complementary channels and the additivity problem. Zbl 1113.81022
Holevo, A. S.
14
2007
Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013
Holevo, A. S.; Shirokov, M. E.
17
2006
Complementarity and additivity for covariant channels. Zbl 1106.68367
Datta, N.; Fukuda, M.; Holevo, A. S.
12
2006
Additivity for transpose depolarizing channels. Zbl 1090.81014
Datta, Nilanjana; Holevo, Alexander S.; Suhov, Yuri
9
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
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.
14
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.
10
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.
48
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.
100
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.
8
2000
Reliability function of general classical-quantum channel. Zbl 1002.94014
Holevo, A. S.
7
2000
The capacity of the quantum channel with general signal states. Zbl 0897.94008
Holevo, A. S.
131
1998
Quantum coding theorems. Zbl 1020.94008
Holevo, A. S.
53
1998
Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502
Holevo, A. S.
15
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.; Holevo, A. S.; Caves, C. M.
8
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.
31
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.
4
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.
5
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.
8
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.
297
1982
Quantum-probabilistic analysis of counting statistics with an application to the ”Dolinar receiver”. Zbl 0516.60052
Kholevo, A. S.
6
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
A regression problem for time-continuous processes. Zbl 0428.62054
Rasulov, N. P.; Kholevo, A. S.
1
1979
On the capacity of a quantum communication channel. Zbl 0433.94008
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
...and 20 more Documents
all top 5

Cited by 1,159 Authors

49 Kholevo, Aleksandr Semënovich
34 Shirokov, Maksim Evgen’evich
23 Wilde, Mark M.
20 Winter, Andreas
19 Datta, Nilanjana
16 Lahti, Pekka Johannes
15 Giovannetti, Vittorio
15 Pellonpää, Juha-Pekka
14 D’Ariano, Giacomo Mauro
14 Heinosaari, Teiko
13 Jenčová, Anna
12 Pellegrini, Clément
11 Barchielli, Alberto
11 Filippov, Sergey N.
11 Ruskai, Mary Beth
11 Toigo, Alessandro
11 Wolf, Michael Marc
10 Beneduci, Roberto
10 Boche, Holger
10 Chiribella, Giulio
10 Kiukas, Jukka
10 Paris, Matteo G. A.
10 Pulmannová, Sylvia
10 Sakbaev, Vsevolod Zhanovich
9 Ban, Masashi
9 De Palma, Giacomo
9 Gudder, Stanley P.
9 Guta, Madalin I.
9 Luo, Shunlong
9 Man’ko, Vladimir Ivanovich
8 Audenaert, Koenraad M. R.
8 Benatti, Fabio
8 Fukuda, Motohisa
8 Hayashi, Masahito
8 King, Christopher K.
8 Nechita, Ion
8 Petz, Dénes
8 Vacchini, Bassano
8 Ylinen, Kari
7 Amosov, Grigori G.
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
7 Petersen, Ian Richard
6 Belavkin, Viacheslav
6 Benoist, Tristan
6 Bugajski, Sławomir
6 Collins, Benoît
6 Deppe, Christian
6 Floreanini, Roberto
6 Grabowski, Marian
6 Lami, Ludovico
6 Leung, Debbie W.
6 Mancini, Stefano
6 Parthasarathy, Kalyanapuram Rangachari
6 Teretenkov, Alexander E.
6 Weis, Stephan
5 Cassinelli, Gianni
5 Dvurečenskij, Anatolij
5 Fraas, Martin
5 Gudder, Stan
5 Haapasalo, Erkka Theodor
5 Hayden, Patrick M.
5 Junge, Marius
5 Lloyd, Seth
5 Nötzel, Janis
5 Nussbaum, Michael
5 Ozawa, Masanao
5 Plosker, Sarah
5 Schultz, Jussi
5 Shor, Peter Williston
5 Szkoła, Arleta
5 Tomamichel, Marco
5 Vladimirov, Igor G.
5 Wang, Yazhen
5 Werner, Reinhard F.
4 Bhat, B. V. Rajarama
4 Brádler, Kamil
4 Brody, Dorje C.
4 Buscemi, Francesco
4 Busch, Paul
4 Chebotarev, Alexandr M.
4 Clark, Jeremy Thane
4 Das, Siddhartha
4 De Vito, Ernesto
4 Farenick, Douglas R.
4 Fröhlich, Jürg Martin
4 Hirota, Osamu
4 Ishikawa, Shiro
4 James, Matthew R.
4 Keyl, Michael
4 Kozyrev, Sergeĭ Vladimirovich
4 Kribs, David W.
4 Luati, Alessandra
4 Montanaro, Ashley
4 Müller-Hermes, Alexander
...and 1,059 more Authors
all top 5

Cited in 158 Serials

173 Journal of Mathematical Physics
74 Quantum Information Processing
67 Communications in Mathematical Physics
59 International Journal of Theoretical Physics
42 Reports on Mathematical Physics
42 International Journal of Quantum Information
39 Physics Letters. A
26 Foundations of Physics
23 Journal of Physics A: Mathematical and Theoretical
22 Lobachevskii Journal of Mathematics
20 New Journal of Physics
18 Linear Algebra and its Applications
17 Problems of Information Transmission
15 Annales Henri Poincaré
14 Mathematical Notes
14 Open Systems & Information Dynamics
14 Infinite Dimensional Analysis, Quantum Probability and Related Topics
13 Theoretical and Mathematical Physics
13 Annals of Physics
12 The Annals of Statistics
12 Physical Review Letters
12 Physical Review A, Third Series
11 Journal of Statistical Physics
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 Soviet Mathematics
8 Journal of Modern Optics
8 Proceedings of the Steklov Institute of Mathematics
7 Reviews of Modern Physics
7 Journal of Functional Analysis
7 Mathematica Slovaca
6 Fuzzy Sets and Systems
6 Journal of Multivariate Analysis
6 Theoretical Computer Science
6 Russian Journal of Mathematical Physics
6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
5 International Journal of Modern Physics B
5 Russian Mathematical Surveys
5 Theory of Probability and its Applications
5 Positivity
5 Journal of High Energy Physics
5 Entropy
4 International Journal of Modern Physics A
4 Advances in Mathematics
4 Statistics & Probability Letters
4 Stochastic Processes and their Applications
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 Physica A
3 Ukrainian Mathematical Journal
3 Automatica
3 Probability Theory and Related Fields
3 International Journal of Mathematics
3 Russian Mathematics
3 Sbornik: Mathematics
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 Applied Mathematics and Optimization
2 Functional Analysis and its Applications
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Synthese
2 Statistical Science
2 Information and Computation
2 Journal of Theoretical Probability
2 The Annals of Applied Probability
2 Mathematical Methods of Statistics
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 Journal of Statistical Mechanics: Theory and Experiment
2 Communications in Theoretical Physics
2 Advances in Mathematical Physics
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Axioms
2 SIAM Journal on Applied Algebra and Geometry
1 Modern Physics Letters A
1 Houston Journal of Mathematics
1 Journal of Computational Physics
1 Metrika
1 Moscow University Mathematics Bulletin
1 Nuclear Physics. B
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 Information Sciences
1 Integral Equations and Operator Theory
1 International Journal of Circuit Theory and Applications
1 Journal of Combinatorial Theory. Series A
...and 58 more Serials
all top 5

Cited in 55 Fields

956 Quantum theory (81-XX)
351 Information and communication theory, circuits (94-XX)
199 Functional analysis (46-XX)
138 Operator theory (47-XX)
130 Probability theory and stochastic processes (60-XX)
98 Statistics (62-XX)
89 Statistical mechanics, structure of matter (82-XX)
40 Computer science (68-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
23 Partial differential equations (35-XX)
21 Systems theory; control (93-XX)
19 Mathematical logic and foundations (03-XX)
19 Measure and integration (28-XX)
16 Relativity and gravitational theory (83-XX)
15 Group theory and generalizations (20-XX)
15 Topological groups, Lie groups (22-XX)
11 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 Differential geometry (53-XX)
8 Operations research, mathematical programming (90-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
6 General and overarching topics; collections (00-XX)
6 Convex and discrete geometry (52-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Combinatorics (05-XX)
5 Algebraic geometry (14-XX)
5 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
4 Functions of a complex variable (30-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 History and biography (01-XX)
3 Number theory (11-XX)
3 Nonassociative rings and algebras (17-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 Geometry (51-XX)
2 Astronomy and astrophysics (85-XX)
2 Biology and other natural sciences (92-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-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 Algebraic topology (55-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)

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