Edit Profile (opens in new tab) Kholevo, Aleksandr Semënovich Co-Author Distance Author ID: kholevo.aleksandr-s Published as: Holevo, A. S.; Kholevo, A. S.; Holevo, Alexander S.; Holevo, Aleksandr Semenovich; Holevo, Alexander Semenovich; Holevo, Aleksandr S. more...less Further Spellings: Холево Александр Семёнович Homepage: https://homepage.mi-ras.ru/~holevo/ External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 184 Publications since 1965, including 7 Books and 10 Additional arXiv Preprints 4 Contributions as Editor · 1 Further Contribution Reviewing Activity: 105 Reviews Biographic References: 7 Publications Co-Authors: 64 Co-Authors with 54 Joint Publications 2,504 Co-Co-Authors all top 5 Co-Authors 134 single-authored 11 Giovannetti, Vittorio 11 Shirokov, Maksim Evgen’evich 5 Kuznetsova, Anna A. 5 Werner, Reinhard F. 4 Amosov, Grigoriĭ Gennad’evich 3 Datta, Nilanjana 3 Mari, Andrea 2 Barchielli, Alberto 2 Bogomolov, N. A. 2 Borovkov, Aleksandr Alekseevich 2 Burnashev, Marat V. 2 Caruso, Filippo 2 Eisert, Jens 2 García-Patrón, Raúl 2 Hirota, Osamu 2 Rasulov, N. P. 2 Shiryaev, Al’bert Nikolaevich 2 Suhov, Yurii Mikhailovich 1 Araf’eva, I. Ya. 1 Bakhvalov, Nikolaĭ Sergeevich 1 Bulinskiĭ, Aleksandr Vadimovich 1 Caves, Carlton M. 1 Cerf, Nicolas J. 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 De Palma, Giacomo 1 Denisov, L. V. 1 Dobrokhotov, Sergei Yurievich 1 Dobrushin, Roland L’vovich 1 Filippov, Sergey N. 1 Gershtein, S. S. 1 Heinosaari, Teiko 1 Ibragimov, Il’dar Abdullovich 1 Kazakov, Dmitri I. 1 Khas’minskiĭ, Rafail Zalmanovich 1 Kulish, Petr Petrovich 1 Lami, Ludovico 1 Libanov, M. V. 1 Lloyd, Seth 1 Logunov, Anatoliĭ Alekseevich 1 Lupieri, Giancarlo 1 Maccone, Lorenzo 1 Marshakov, Andrei V. 1 Maslov, Viktor Pavlovich 1 Morozov, Alexei Yurievich 1 Pellonpää, Juha-Pekka 1 Plakida, Nikolay M. 1 Plenio, Martin B. 1 Prokhorov, Yuriĭ Vasil’evich 1 Rubakov, Valery A. 1 Semikhatov, Alexei M. 1 Sewat’yanov, B. A. 1 Shabat, Alekseĭ Borisovich 1 Siemon, I. 1 Sinaĭ, Yakov Grigor’evich 1 Skorokhod, Anatoliĭ Volodymyrovych 1 Slavyanov, Sergeĭ Yur’evich 1 Sohma, Masaki 1 Statulevičius, Vytautas 1 Tyutin, Igor Viktorovich 1 Valiev, K. A. 1 Vershik, Anatoliĭ Moiseevich 1 Wolf, Michael Marc 1 Yashin, Vsevolod I. 1 Zabrodin, Anton V. 1 Zolotarëv, Vladimir Mikhaĭlovich all top 5 Serials 25 Theory of Probability and its Applications 12 Problems of Information Transmission 11 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 4 Lobachevskii Journal of Mathematics 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Multivariate Analysis 3 Journal of Soviet Mathematics 3 Mathematical Methods of Statistics 3 Izvestiya: Mathematics 3 Quantum Information Processing 2 Communications in Mathematical Physics 2 Mathematical Notes 2 Soviet Mathematics 2 International Journal of Quantum Information 2 Proceedings of the Steklov Institute of Mathematics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Letters in Mathematical Physics 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 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 North-Holland Series in Statistics and Probability 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 all top 5 Fields 113 Quantum theory (81-XX) 66 Information and communication theory, circuits (94-XX) 45 Functional analysis (46-XX) 44 Probability theory and stochastic processes (60-XX) 32 Statistics (62-XX) 22 Operator theory (47-XX) 9 Topological groups, Lie groups (22-XX) 7 Measure and integration (28-XX) 7 Abstract harmonic analysis (43-XX) 5 History and biography (01-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Operations research, mathematical programming (90-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 143 Publications have been cited 2,706 times in 1,680 Documents Cited by ▼ Year ▼ Probabilistic and statistical aspects of quantum theory. Translated from the Russian by the author. Zbl 0497.46053 Holevo, A. S. 421 1982 The capacity of the quantum channel with general signal states. Zbl 0897.94008 Holevo, A. S. 181 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. 177 2011 Statistical structure of quantum theory. Zbl 0999.81001 Holevo, Alexander S. 162 2001 Quantum systems, channels, information. A mathematical introduction. Zbl 1332.81003 Holevo, Alexander S. 155 2012 Statistical decision theory for quantum systems. Zbl 0275.62004 Holevo, A. S. 98 1973 Some estimates of information transmitted through quantum communication channel. Zbl 0317.94003 Holevo, A. S. 76 1973 Quantum coding theorems. Zbl 1020.94008 Holevo, A. S. 68 1998 Counterexample to an additivity conjecture for output purity of quantum channels. Quantum information theory. Zbl 1060.94008 Werner, R. F.; Holevo, A. S. 67 2002 Quantum systems, channels, information. A mathematical introduction. 2nd revised and extended edition. Zbl 1418.81001 Holevo, Alexander S. 47 2019 Constructing quantum measurement processes via classical stochastic calculus. Zbl 0829.60050 Barchielli, A.; Holevo, A. S. 43 1995 Complementary channels and the additivity problem. Zbl 1113.81022 Holevo, A. S. 36 2007 Covariant quantum Markovian evolutions. Zbl 0869.60102 Holevo, A. S. 33 1996 Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013 Holevo, A. S.; Shirokov, M. E. 30 2006 On the additivity conjecture in quantum information theory. Zbl 0983.81004 Amosov, G. G.; Holevo, A. S.; Werner, R. F. 30 2000 A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046 Giovannetti, V.; Holevo, A. S.; García-Patrón, R. 29 2015 Entanglement-assisted capacities of constrained quantum channels. Zbl 1056.94006 Kholevo, A. S. 29 2003 Quantum communication, computing, and measurement. Zbl 0894.00057 28 1997 Entanglement-breaking channels in infinite dimensions. Zbl 1173.81304 Holevo, A. S. 27 2008 On entanglement-assisted classical capacity. Quantum information theory. Zbl 1060.94003 Holevo, A. S. 26 2002 Covariant measurements and uncertainty relations. Zbl 0447.62011 Kholevo, A. S. 25 1979 An analog of the theory of statistical decisions in noncommutative probability theory. Zbl 0289.62007 Holevo, A. S. 25 1972 Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051 Holevo, A. S. 25 2015 A note on covariant dynamical semigroups. Zbl 0794.47026 Holevo, A. S. 25 1993 One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036 Holevo, A. S. 25 2007 Information capacity of a quantum observable. Zbl 1283.94026 Holevo, A. S. 23 2012 On dissipative stochastic equations in a Hilbert space. Zbl 0842.60060 Holevo, A. S. 22 1996 Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046 Holevo, A. S. 20 2011 Probabilistic and statistical aspects in quantum theory. (Veroyatnostnye i statisticheskie aspekty kvantovoj teorii). Zbl 0508.60086 Kholevo, A. S. 19 1980 On asymptotically optimal hypothesis testing in quantum statistics. Zbl 0426.62085 Holevo, A. S. 19 1979 Complementarity and additivity for covariant channels. Zbl 1106.68367 Datta, N.; Fukuda, M.; Holevo, A. S. 18 2006 The semigroup sturucture of Gaussian channels. Zbl 1247.81068 Heinosaari, Teiko; Holevo, Alexander S.; Wolf, Michael M. 18 2010 Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502 Holevo, A. S. 18 1998 Statistical problems in quantum physics. Zbl 0265.62037 Holevo, A. S. 16 1973 Estimation of shift parameters of a quantum state. Zbl 0402.47006 Holevo, A. S. 16 1978 Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047 Giovannetti, V.; Holevo, A. S.; Mari, A. 16 2015 Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020 Holevo, A. S.; Shirokov, M. E. 16 2010 On the structure of covariant dynamical semigroups. Zbl 0827.46053 Holevo, A. S. 16 1995 Additivity conjecture and covariant channels. Zbl 1133.81320 Holevo, A. S. 16 2005 On approximation of infinite-dimensional quantum channels. Zbl 1447.94014 Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich 16 2008 On quasiequivalence of locally normal states. Zbl 0285.46052 Holevo, A. S. 15 1973 Problems in the mathematical theory of quantum communication channels. Zbl 0379.94001 Holevo, A. S. 15 1977 On the concept of entanglement in Hilbert spaces. Zbl 1098.47019 Werner, R. F.; Kholevo, A. S.; Shirokov, M. E. 15 2005 Unbounded generators of dynamical semigroups. Zbl 1381.81068 Siemon, I.; Holevo, A. S.; Werner, R. F. 14 2017 On estimates of regression coefficients. Zbl 0199.53601 Kholevo, A. S. 14 1969 The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015 Holevo, A. S. 13 2011 Additivity for transpose depolarizing channels. Zbl 1090.81014 Datta, Nilanjana; Holevo, Alexander S.; Suhov, Yuri 13 2006 Reliability function of general classical-quantum channel. Zbl 1002.94014 Holevo, A. S. 12 2000 Normal form decomposition for Gaussian-to-Gaussian superoperators. Zbl 1316.81013 De Palma, Giacomo; Mari, Andrea; Giovannetti, Vittorio; Holevo, Alexander S. 11 2015 Quantum stochastic calculus. Zbl 0732.60066 Kholevo, A. S. 11 1991 On Shor’s channel extension and constrained channels. Zbl 1080.81005 Holevo, A. S.; Shirokov, M. E. 11 2004 On conservativity of covariant dynamical semigroups. Zbl 0808.60064 Holevo, A. S. 11 1993 Information theory aspects of quantum measurement. Zbl 0317.94002 Holevo, A. S. 10 1973 The additivity problem in quantum information theory. Zbl 1100.94007 Holevo, Alexander S. 10 2006 On the reliability function for a quantum communication channel. Zbl 1113.81301 Burnashev, M. V.; Holevo, A. S. 10 1998 Statistical definition of observable and the structure of statistical models. Zbl 0607.46048 Kholevo, A. S. 10 1985 Information capacity of continuous variable measurement channel. Zbl 1514.81080 Holevo, A. S.; Kuznetsova, A. A. 10 2020 Error exponents for quantum channels with constrained inputs. Zbl 0974.81006 Holevo, A. S.; Sohma, M.; Hirota, O. 10 2000 Gaussian maximizers for quantum Gaussian observables and ensembles. Zbl 1448.81511 Holevo, Alexander S. 10 2020 On the constrained classical capacity of infinite-dimensional covariant quantum channels. Zbl 1330.81055 Holevo, A. S. 9 2016 An analogue of Hunt’s representation theorem in quantum probability. Zbl 0770.60003 Barchielli, A.; Kholevo, A. S.; Lupieri, G. 9 1993 Coding theorems of quantum information theory. Zbl 1030.94020 Holevo, A. S. 9 2001 Capacity of a quantum communications channel. Zbl 0449.94010 Kholevo, A. S. 9 1980 Some statistical problems for quantum Gaussian states. Zbl 0317.94004 Holevo, Alexander S. 9 1975 Multiplicativity of \(p\)-norms of completely positive maps and the additivity problem in quantum information theory. Zbl 1325.81052 Holevo, A. S. 9 2006 On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005 Amosov, G. G.; Kholevo, A. S. 9 2002 Time-ordered exponentials in quantum stochastic calculus. Zbl 0803.46072 Holevo, A. S. 8 1992 Investigations in the general theory of statistical decisions. Zbl 0497.62010 Kholevo, A. S. 7 1976 On singular perturbations of quantum dynamical semigroups. Zbl 1456.47014 Holevo, A. S. 7 2018 Conditionally positive definite functions in quantum probability. Zbl 0683.46046 Holevo, A. S. 7 1987 Exponential formulae in quantum stochastic calculus. Zbl 0846.60097 Holevo, A. S. 7 1996 On classical capacities of infinite-dimensional quantum channels. Zbl 1271.81040 Holevo, A. S.; Shirokov, M. E. 7 2013 On a generalization of canonical quantization. Zbl 0613.22012 Kholevo, A. S. 6 1987 Extreme bosonic linear channels. Zbl 1287.81034 Holevo, A. S. 6 2013 Generalized imprimitivity systems for Abelian groups. Zbl 0566.22009 Kholevo, A. S. 6 1983 Excessive maps, “arrival times” and perturbation of dynamical semigroups. Zbl 0877.47026 Holevo, A. S. 6 1995 On a sufficient condition for additivity in quantum information theory. Zbl 1089.94014 Datta, N.; Holevo, A. S.; Suhov, Yu. M. 6 2005 Quantum-probabilistic analysis of counting statistics with an application to the ”Dolinar receiver”. Zbl 0516.60052 Kholevo, A. S. 5 1982 Testing statistical hypotheses in quantum theory. Zbl 0539.62011 Holevo, A. S. 5 1982 Note on optimal quantum measurements. Zbl 0309.94001 Holevo, A. S. 5 1974 Extreme covariant observables for type I symmetry groups. Zbl 1235.81016 Holevo, Alexander S.; Pellonpää, Juha-Pekka 5 2009 The entropy gain of infinite-dimensional quantum evolutions. Zbl 1236.81051 Holevo, A. S. 5 2010 On asymptotically optimal hypotheses testing in quantum statistics. Zbl 0396.62088 Holevo, A. S. 5 1978 Bounds for generalized uncertainty of the shift parameter. Zbl 0536.60042 Holevo, A. S. 5 1983 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 the classical capacity of a channel with stationary quantum Gaussian noise. Zbl 1395.81065 Holevo, A. S. 5 2018 On the quantum Gaussian optimizers conjecture in the case \( q=p\). Zbl 1403.81007 Holevo, Alexander S. 5 2017 Accessible information of a general quantum Gaussian ensemble. Zbl 1500.81012 Holevo, A. S. 5 2021 A generalization of the Rao-Cramer inequality. Zbl 0289.62008 Holevo, A. S. 4 1973 Noncommutative analogues of the Cramer-Rao inequality in the quantum measurement theory. Zbl 0348.62016 Holevo, A. S. 4 1976 Zur mathematischen Theorie der Quantenverbindungskanäle. Zbl 0286.94006 Holevo, A. S. 4 1972 Commutation superoperator of a state and its applications to the noncommutative statistics. Zbl 0369.46058 Holevo, A. S. 4 1977 On the capacity of a quantum communication channel. Zbl 0433.94008 Kholevo, A. S. 4 1979 Coding theorems for hybrid channels. II. Zbl 1330.81059 Kuznetsova, A. A.; Holevo, A. S. 4 2015 On the proof of the majorization theorem for quantum Gaussian channels. Zbl 1349.81059 Holevo, A. S. 4 2016 Infinitely divisible measurements in quantum probability theory. Zbl 0623.60005 Kholevo, A. S. 4 1987 Stochastic representations of quantum dynamical semi-groups. Zbl 0925.46025 Kholevo, A. S. 4 1989 Quantum and classical stochastic calculus. Zbl 1078.81047 Holevo, A. S. 4 2003 On translation-covariant quantum Markov equations. Zbl 0901.60090 Kholevo, A. S. 4 1995 There exists a non-standard dynamical semigroup on \(\mathcal L(\mathcal H)\). Zbl 1042.46513 Kholevo, A. S. 4 1996 Quantum Gaussian maximizers and log-Sobolev inequalities. Zbl 1515.81056 Holevo, Alexander S.; Filippov, Sergey N. 3 2023 On characterization of quantum Gaussian measurement channels. Zbl 1535.81026 Holevo, A. S. 1 2023 On optimization problem for positive operator-valued measures. Zbl 1515.81057 Holevo, A. S. 4 2022 Logarithmic Sobolev inequality and hypothesis of quantum Gaussian maximizers. Zbl 1531.81046 Holevo, Alexander S. 2 2022 Accessible information of a general quantum Gaussian ensemble. Zbl 1500.81012 Holevo, A. S. 5 2021 Maximum information gain of approximate quantum position measurement. Zbl 1509.81015 Holevo, A. S.; Yashin, V. I. 3 2021 Structure of a general quantum Gaussian observable. Zbl 1468.81044 Holevo, A. S. 3 2021 Information capacity of continuous variable measurement channel. Zbl 1514.81080 Holevo, A. S.; Kuznetsova, A. A. 10 2020 Gaussian maximizers for quantum Gaussian observables and ensembles. Zbl 1448.81511 Holevo, Alexander S. 10 2020 The information capacity of entanglement-assisted continuous variable quantum measurement. Zbl 1519.81031 Holevo, A. S.; Kuznetsova, A. A. 4 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. 47 2019 Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 1483.46072 Shirokov, M. E.; Holevo, A. S. 4 2019 Generators of quantum one-dimensional diffusions. Zbl 07099811 Holevo, A. S. 1 2019 On singular perturbations of quantum dynamical semigroups. Zbl 1456.47014 Holevo, A. S. 7 2018 On the classical capacity of a channel with stationary quantum Gaussian noise. Zbl 1395.81065 Holevo, A. S. 5 2018 Mathematical foundations of quantum informatics. (Математические основы квантовой информатики.) Zbl 1414.81002 Kholevo, A. S. 1 2018 Unbounded generators of dynamical semigroups. Zbl 1381.81068 Siemon, I.; Holevo, A. S.; Werner, R. F. 14 2017 On the quantum Gaussian optimizers conjecture in the case \( q=p\). Zbl 1403.81007 Holevo, Alexander S. 5 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 a characterization of Gaussian transition operators. Zbl 1378.81017 Holevo, A. S. 2 2017 On the constrained classical capacity of infinite-dimensional covariant quantum channels. Zbl 1330.81055 Holevo, A. S. 9 2016 On the proof of the majorization theorem for quantum Gaussian channels. Zbl 1349.81059 Holevo, A. S. 4 2016 A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046 Giovannetti, V.; Holevo, A. S.; García-Patrón, R. 29 2015 Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051 Holevo, A. S. 25 2015 Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047 Giovannetti, V.; Holevo, A. S.; Mari, A. 16 2015 Normal form decomposition for Gaussian-to-Gaussian superoperators. Zbl 1316.81013 De Palma, Giacomo; Mari, Andrea; Giovannetti, Vittorio; Holevo, Alexander S. 11 2015 Coding theorems for hybrid channels. II. Zbl 1330.81059 Kuznetsova, A. A.; Holevo, A. S. 4 2015 Coding theorems for hybrid channels. Zbl 1378.94016 Kuznetsova, A. A.; Holevo, A. S. 3 2014 Gaussian classical-quantum channels: gain from entanglement-assistance. Zbl 1334.81025 Holevo, A. S. 1 2014 On classical capacities of infinite-dimensional quantum channels. Zbl 1271.81040 Holevo, A. S.; Shirokov, M. E. 7 2013 Extreme bosonic linear channels. Zbl 1287.81034 Holevo, A. S. 6 2013 Quantum systems, channels, information. A mathematical introduction. Zbl 1332.81003 Holevo, Alexander S. 155 2012 Information capacity of a quantum observable. Zbl 1283.94026 Holevo, A. S. 23 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. 177 2011 Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046 Holevo, A. S. 20 2011 The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015 Holevo, A. S. 13 2011 The semigroup sturucture of Gaussian channels. Zbl 1247.81068 Heinosaari, Teiko; Holevo, Alexander S.; Wolf, Michael M. 18 2010 Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020 Holevo, A. S.; Shirokov, M. E. 16 2010 The entropy gain of infinite-dimensional quantum evolutions. Zbl 1236.81051 Holevo, A. S. 5 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 Extreme covariant observables for type I symmetry groups. Zbl 1235.81016 Holevo, Alexander S.; Pellonpää, Juha-Pekka 5 2009 Entanglement-breaking channels in infinite dimensions. Zbl 1173.81304 Holevo, A. S. 27 2008 On approximation of infinite-dimensional quantum channels. Zbl 1447.94014 Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich 16 2008 Quantum shared broadcasting. Zbl 1144.81439 Giovannetti, V.; Holevo, A. S. 2 2008 Complementary channels and the additivity problem. Zbl 1113.81022 Holevo, A. S. 36 2007 One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036 Holevo, A. S. 25 2007 Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013 Holevo, A. S.; Shirokov, M. E. 30 2006 Complementarity and additivity for covariant channels. Zbl 1106.68367 Datta, N.; Fukuda, M.; Holevo, A. S. 18 2006 Additivity for transpose depolarizing channels. Zbl 1090.81014 Datta, Nilanjana; Holevo, Alexander S.; Suhov, Yuri 13 2006 The additivity problem in quantum information theory. Zbl 1100.94007 Holevo, Alexander S. 10 2006 Multiplicativity of \(p\)-norms of completely positive maps and the additivity problem in quantum information theory. Zbl 1325.81052 Holevo, A. S. 9 2006 Additivity conjecture and covariant channels. Zbl 1133.81320 Holevo, A. S. 16 2005 On the concept of entanglement in Hilbert spaces. Zbl 1098.47019 Werner, R. F.; Kholevo, A. S.; Shirokov, M. E. 15 2005 On a sufficient condition for additivity in quantum information theory. Zbl 1089.94014 Datta, N.; Holevo, A. S.; Suhov, Yu. M. 6 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. 29 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. 67 2002 On entanglement-assisted classical capacity. Quantum information theory. Zbl 1060.94003 Holevo, A. S. 26 2002 On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005 Amosov, G. G.; Kholevo, A. S. 9 2002 Statistical structure of quantum theory. Zbl 0999.81001 Holevo, Alexander S. 162 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 Lévy processes and continuous quantum measurements. Zbl 0988.60097 Holevo, Alexander S. 1 2001 On the additivity conjecture in quantum information theory. Zbl 0983.81004 Amosov, G. G.; Holevo, A. S.; Werner, R. F. 30 2000 Reliability function of general classical-quantum channel. Zbl 1002.94014 Holevo, A. S. 12 2000 Error exponents for quantum channels with constrained inputs. Zbl 0974.81006 Holevo, A. S.; Sohma, M.; Hirota, O. 10 2000 The capacity of the quantum channel with general signal states. Zbl 0897.94008 Holevo, A. S. 181 1998 Quantum coding theorems. Zbl 1020.94008 Holevo, A. S. 68 1998 Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502 Holevo, A. S. 18 1998 On the reliability function for a quantum communication channel. Zbl 1113.81301 Burnashev, M. V.; Holevo, A. S. 10 1998 Quantum communication, computing, and measurement. Zbl 0894.00057 28 1997 Covariant quantum Markovian evolutions. Zbl 0869.60102 Holevo, A. S. 33 1996 On dissipative stochastic equations in a Hilbert space. Zbl 0842.60060 Holevo, A. S. 22 1996 Exponential formulae in quantum stochastic calculus. Zbl 0846.60097 Holevo, A. S. 7 1996 There exists a non-standard dynamical semigroup on \(\mathcal L(\mathcal H)\). Zbl 1042.46513 Kholevo, A. S. 4 1996 Stochastic differential equations in Hilbert space and quantum Markovian evolutions. Zbl 0953.81044 Holevo, A. S. 3 1996 Constructing quantum measurement processes via classical stochastic calculus. Zbl 0829.60050 Barchielli, A.; Holevo, A. S. 43 1995 On the structure of covariant dynamical semigroups. Zbl 0827.46053 Holevo, A. S. 16 1995 Excessive maps, “arrival times” and perturbation of dynamical semigroups. Zbl 0877.47026 Holevo, A. S. 6 1995 On translation-covariant quantum Markov equations. Zbl 0901.60090 Kholevo, A. S. 4 1995 A note on covariant dynamical semigroups. Zbl 0794.47026 Holevo, A. S. 25 1993 On conservativity of covariant dynamical semigroups. Zbl 0808.60064 Holevo, A. S. 11 1993 An analogue of Hunt’s representation theorem in quantum probability. Zbl 0770.60003 Barchielli, A.; Kholevo, A. S.; Lupieri, G. 9 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. 11 1991 Quantum probability and quantum statistics. Zbl 0739.46049 Kholevo, A. S. 1 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 Stochastic representations of quantum dynamical semi-groups. Zbl 0925.46025 Kholevo, A. S. 4 1989 Limit theorems for repeated measurements and continuous measurement processes. Zbl 0679.60075 Holevo, A. S. 3 1989 Conditionally positive-definite functions in quantum probability theory. Zbl 0735.46044 Kholevo, A. S. 2 1989 A noncommutative generalization of conditionally positive definite functions. Zbl 0647.46050 Holevo, A. S. 3 1988 Conditionally positive definite functions in quantum probability. Zbl 0683.46046 Holevo, A. S. 7 1987 On a generalization of canonical quantization. Zbl 0613.22012 Kholevo, A. S. 6 1987 Infinitely divisible measurements in quantum probability theory. Zbl 0623.60005 Kholevo, A. S. 4 1987 Lévy-Khintchine representation in quantum theory of probability. Zbl 0623.60004 Kholevo, A. S. 1 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 ...and 43 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,857 Authors 61 Kholevo, Aleksandr Semënovich 49 Shirokov, Maksim Evgen’evich 34 Amosov, Grigoriĭ Gennad’evich 31 Wilde, Mark M. 22 Datta, Nilanjana 22 Gudder, Stanley P. 22 Pellonpää, Juha-Pekka 22 Winter, Andreas 21 Lahti, Pekka Johannes 18 Giovannetti, Vittorio 17 Chiribella, Giulio 17 D’Ariano, Giacomo Mauro 17 Filippov, Sergey N. 17 Heinosaari, Teiko 16 Paris, Matteo G. A. 15 Barchielli, Alberto 15 Luo, Shunlong 15 Teretenkov, Alexander E. 14 Beneduci, Roberto 14 Guta, Madalin I. 14 Jenčová, Anna 14 Pellegrini, Clément 13 Boche, Holger 13 De Palma, Giacomo 13 Kiukas, Jukka 13 Petersen, Ian Richard 12 Ban, Masashi 12 Man’ko, Vladimir Ivanovich 12 Pechen, Alexander Nikolaevich 12 Wolf, Michael Marc 11 Lami, Ludovico 11 Pulmannová, Sylvia 11 Ruskai, Mary Beth 11 Sakbaev, Vsevolod Zhanovich 11 Toigo, Alessandro 11 Vladimirov, Igor G. 10 Benatti, Fabio 10 Hayashi, Masahito 10 Kronberg, D. A. 9 Fukuda, Motohisa 9 Haapasalo, Erkka Theodor 9 Khrennikov, Andreĭ Yur’evich 9 Mancini, Stefano 9 Nechita, Ion 9 Vacchini, Bassano 9 Werner, Reinhard F. 8 Audenaert, Koenraad M. R. 8 Benoist, Tristan 8 Cai, Minglai 8 Demkowicz-Dobrzański, Rafał 8 Hsieh, Min-Hsiu 8 King, Christopher Kevin 8 Mosonyi, Milán 8 Nussbaum, Michael 8 Parthasarathy, Kalyanapuram Rangachari 8 Petz, Dénes 8 Rouzé, Cambyse 8 Ylinen, Kari 7 Brody, Dorje C. 7 Carmeli, Claudio 7 Collins, Benoît 7 Deppe, Christian 7 Floreanini, Roberto 7 Fraas, Martin 7 Jin, Yao 7 Jing, Jiliang 7 Kribs, David W. 7 Leung, Debbie W. 7 Mora, Carlos M. 7 Perinotti, Paolo 7 Tomamichel, Marco 7 Wang, Yazhen 7 Weis, Stephan 6 Belavkin, Viacheslav 6 Berta, Mario 6 Bhat, B. V. Rajarama 6 Bugajski, Sławomir 6 Buscemi, Francesco 6 Busch, Paul 6 Chruściński, Dariusz 6 Ciaglia, Florio Maria 6 Dvurečenskij, Anatolij 6 Fujiwara, Akio 6 Gao, Li 6 Grabowski, Marian 6 Hughston, Lane P. 6 Kuznetsova, Anna A. 6 Kye, Seunghyeok 6 Morzhin, Oleg Vasil’evich 6 Ozawa, Masanao 6 Schultz, Jussi 6 Suzuki, Jun-Ichirou 6 Trevisan, Dario 6 Verstraete, Frank 6 Vom Ende, Frederik 6 Wang, Xiaoguang 6 Życzkowski, Karol 5 Banerjee, Subhashish 5 Cassinelli, Gianni 5 Genoni, Marco G. ...and 1,757 more Authors all top 5 Cited in 198 Serials 195 Journal of Mathematical Physics 151 Quantum Information Processing 98 Journal of Physics A: Mathematical and Theoretical 87 Communications in Mathematical Physics 84 International Journal of Theoretical Physics 83 Physics Letters. A 60 Reports on Mathematical Physics 58 International Journal of Quantum Information 57 New Journal of Physics 45 Lobachevskii Journal of Mathematics 34 Foundations of Physics 24 Open Systems & Information Dynamics 23 Proceedings of the Steklov Institute of Mathematics 22 Linear Algebra and its Applications 22 Annales Henri Poincaré 20 Theoretical and Mathematical Physics 19 Problems of Information Transmission 19 Infinite Dimensional Analysis, Quantum Probability and Related Topics 17 Letters in Mathematical Physics 17 Mathematical Notes 17 Annals of Physics 16 The Annals of Statistics 15 Physica A 15 Reviews in Mathematical Physics 12 Journal of Statistical Physics 12 Physical Review Letters 12 Physical Review A, Third Series 11 Journal of Mathematical Analysis and Applications 11 Journal of Mathematical Sciences (New York) 11 Journal of High Energy Physics 10 Journal of Functional Analysis 9 Quantum Studies: Mathematics and Foundations 8 Journal of Soviet Mathematics 8 Mathematica Slovaca 8 Journal of Modern Optics 8 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 8 Annalen der Physik 7 Reviews of Modern Physics 7 Russian Journal of Mathematical Physics 7 Positivity 7 Communications in Theoretical Physics 6 Physics Reports 6 Theory of Probability and its Applications 6 Fuzzy Sets and Systems 6 Journal of Multivariate Analysis 6 Theoretical Computer Science 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 International Journal of Modern Physics B 5 Classical and Quantum Gravity 5 Linear and Multilinear Algebra 5 Russian Mathematical Surveys 5 Probability Theory and Related Fields 5 Entropy 5 International Journal of Geometric Methods in Modern Physics 5 Journal of Statistical Mechanics: Theory and Experiment 4 International Journal of Modern Physics A 4 Advances in Mathematics 4 Automatica 4 Statistics & Probability Letters 4 Stochastic Processes and their Applications 4 Quanta 4 SciPost Physics 3 Modern Physics Letters B 3 Computer Physics Communications 3 Ukrainian Mathematical Journal 3 Chaos, Solitons and Fractals 3 SIAM Journal on Control and Optimization 3 Statistical Science 3 Information and Computation 3 International Journal of Mathematics 3 Russian Mathematics 3 Applied and Computational Harmonic Analysis 3 Bernoulli 3 Sbornik: Mathematics 3 Doklady Mathematics 3 Statistical Inference for Stochastic Processes 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 European Journal of Physics 2 Indian Journal of Pure & Applied Mathematics 2 Nuclear Physics. B 2 Physics Letters. B 2 Journal of Geometry and Physics 2 Applied Mathematics and Optimization 2 Functional Analysis and its Applications 2 Information Sciences 2 Journal of the Indian Institute of Science 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 SIAM Journal on Computing 2 Synthese 2 Journal of Theoretical Probability 2 The Annals of Applied Probability 2 Mathematical Methods of Statistics 2 Journal of Convex Analysis 2 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Advances in Mathematical Physics 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Axioms 2 SIAM Journal on Applied Algebra and Geometry 2 Information Geometry ...and 98 more Serials all top 5 Cited in 59 Fields 1,496 Quantum theory (81-XX) 457 Information and communication theory, circuits (94-XX) 294 Functional analysis (46-XX) 195 Operator theory (47-XX) 169 Probability theory and stochastic processes (60-XX) 149 Statistics (62-XX) 146 Statistical mechanics, structure of matter (82-XX) 64 Computer science (68-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 39 Measure and integration (28-XX) 38 Relativity and gravitational theory (83-XX) 33 Partial differential equations (35-XX) 33 Systems theory; control (93-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Topological groups, Lie groups (22-XX) 22 Mathematical logic and foundations (03-XX) 21 Group theory and generalizations (20-XX) 17 Differential geometry (53-XX) 17 Numerical analysis (65-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Mechanics of particles and systems (70-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Optics, electromagnetic theory (78-XX) 11 Convex and discrete geometry (52-XX) 11 Operations research, mathematical programming (90-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Combinatorics (05-XX) 10 Algebraic geometry (14-XX) 10 Associative rings and algebras (16-XX) 10 Abstract harmonic analysis (43-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 General and overarching topics; collections (00-XX) 7 Nonassociative rings and algebras (17-XX) 7 Functions of a complex variable (30-XX) 6 Number theory (11-XX) 6 Real functions (26-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Special functions (33-XX) 5 Geometry (51-XX) 5 General topology (54-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-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 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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