Edit Profile (opens in new tab) Kholevo, Aleksandr Semënovich Compute Distance To: Compute Author ID: holevo.alexander-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 Семенович Homepage: http://www.mi.ras.ru/~holevo External Links: ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 164 Publications since 1965, including 7 Books 4 Contributions as Editor · 1 Further Contribution Reviewing Activity: 104 Reviews Biographic References: 4 Publications Co-Authors: 53 Co-Authors with 40 Joint Publications 1,769 Co-Co-Authors all top 5 Co-Authors 128 single-authored 11 Shirokov, Maksim Evgen’evich 5 Giovannetti, Vittorio 4 Werner, Reinhard F. 3 Datta, Nilanjana 2 Amosov, Grigoriĭ Gennad’evich 2 Barchielli, Alberto 2 Bogomolov, N. A. 2 Burnashev, Marat V. 2 Hirota, Osamu 2 Kuznetsova, Anna A. 2 Rasulov, N. P. 2 Suhov, Yurii Mikhailovich 1 Araf’eva, I. Ya. 1 Bakhvalov, Nikolai Sergeevich 1 Borovkov, Aleksandr Alekseevich 1 Caves, Carlton M. 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 De Palma, Giacomo 1 Denisov, L. V. 1 Dobrokhotov, Sergei Yurievich 1 Dobrushin, Roland L’vovich 1 García-Patrón, Raúl 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 Libanov, M. V. 1 Logunov, Anatoliĭ Alekseevich 1 Lupieri, Giancarlo 1 Maccone, Lorenzo 1 Mari, Andrea 1 Marshakov, Andrei V. 1 Maslov, Viktor Pavlovich 1 Pellonpää, Juha-Pekka 1 Plakida, N. M. 1 Prokhorov, Yuriĭ Vasil’evich 1 Rubakov, Valery A. 1 Semikhatov, Alexei M. 1 Sewat’yanov, B. A. 1 Shabat, Alekseĭ Borisovich 1 Shiryaev, Al’bert Nikolaevich 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 Wolf, Michael Marc 1 Zabrodin, Anton V. 1 Zolotarëv, Vladimir Mikhaĭlovich 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 Lobachevskii Journal of 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 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 all top 5 Fields 104 Quantum theory (81-XX) 63 Information and communication theory, circuits (94-XX) 44 Functional analysis (46-XX) 42 Probability theory and stochastic processes (60-XX) 31 Statistics (62-XX) 21 Operator theory (47-XX) 9 Topological groups, Lie groups (22-XX) 7 Measure and integration (28-XX) 7 Abstract harmonic analysis (43-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 1,723 times in 1,149 Documents Cited by ▼ Year ▼ Probabilistic and statistical aspects of quantum theory. Translated from the Russian by the author. Zbl 0497.46053Holevo, A. S. 306 1982 The capacity of the quantum channel with general signal states. Zbl 0897.94008Holevo, A. S. 134 1998 Statistical structure of quantum theory. Zbl 0999.81001Holevo, Alexander S. 111 2001 Quantum systems, channels, information. A mathematical introduction. Zbl 1332.81003Holevo, Alexander S. 96 2012 Statistical decision theory for quantum systems. Zbl 0275.62004Holevo, A. S. 61 1973 Probabilistic and statistical aspects of quantum theory. With a foreword from the second Russian edition by K. A. Valiev. 2nd ed. Zbl 1338.81001Holevo, Alexander S. 61 2011 Quantum coding theorems. Zbl 1020.94008Holevo, A. S. 55 1998 Counterexample to an additivity conjecture for output purity of quantum channels. Quantum information theory. Zbl 1060.94008Werner, R. F.; Holevo, A. S. 52 2002 Some estimates of information transmitted through quantum communication channel. Zbl 0317.94003Holevo, A. S. 44 1973 Constructing quantum measurement processes via classical stochastic calculus. Zbl 0829.60050Barchielli, A.; Holevo, A. S. 32 1995 On entanglement-assisted classical capacity. Quantum information theory. Zbl 1060.94003Holevo, A. S. 22 2002 On the additivity conjecture in quantum information theory. Zbl 0983.81004Amosov, G. G.; Holevo, A. S.; Werner, R. F. 21 2000 Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013Holevo, A. S.; Shirokov, M. E. 20 2006 Covariant measurements and uncertainty relations. Zbl 0447.62011Kholevo, A. S. 20 1979 On dissipative stochastic equations in a Hilbert space. Zbl 0842.60060Holevo, A. S. 20 1996 Covariant quantum Markovian evolutions. Zbl 0869.60102Holevo, A. S. 19 1996 A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046Giovannetti, V.; Holevo, A. S.; García-Patrón, R. 19 2015 An analog of the theory of statistical decisions in noncommutative probability theory. Zbl 0289.62007Holevo, A. S. 18 1972 Entanglement-breaking channels in infinite dimensions. Zbl 1173.81304Holevo, A. S. 18 2008 Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051Holevo, A. S. 18 2015 On asymptotically optimal hypothesis testing in quantum statistics. Zbl 0426.62085Holevo, A. S. 17 1979 Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502Holevo, A. S. 16 1998 Information capacity of a quantum observable. Zbl 1283.94026Holevo, A. S. 16 2012 Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046Holevo, A. S. 16 2011 A note on covariant dynamical semigroups. Zbl 0794.47026Holevo, A. S. 16 1993 Complementary channels and the additivity problem. Zbl 1113.81022Holevo, A. S. 15 2007 One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036Holevo, A. S. 15 2007 Additivity conjecture and covariant channels. Zbl 1133.81320Holevo, A. S. 15 2005 On the structure of covariant dynamical semigroups. Zbl 0827.46053Holevo, A. S. 14 1995 Complementarity and additivity for covariant channels. Zbl 1106.68367Datta, N.; Fukuda, M.; Holevo, A. S. 13 2006 Estimation of shift parameters of a quantum state. Zbl 0402.47006Holevo, A. S. 12 1978 Probabilistic and statistical aspects in quantum theory. (Veroyatnostnye i statisticheskie aspekty kvantovoj teorii). Zbl 0508.60086Kholevo, A. S. 11 1980 Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020Holevo, A. S.; Shirokov, M. E. 11 2010 On Shor’s channel extension and constrained channels. Zbl 1080.81005Holevo, A. S.; Shirokov, M. E. 11 2004 On estimates of regression coefficients. Zbl 0199.53601Kholevo, A. S. 11 1969 Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047Giovannetti, V.; Holevo, A. S.; Mari, A. 11 2015 Statistical problems in quantum physics. Zbl 0265.62037Holevo, A. S. 10 1973 The semigroup sturucture of Gaussian channels. Zbl 1247.81068Heinosaari, Teiko; Holevo, Alexander S.; Wolf, Michael M. 10 2010 Entanglement-assisted capacities of constrained quantum channels. Zbl 1056.94006Kholevo, A. S. 10 2003 Quantum stochastic calculus. Zbl 0732.60066Kholevo, A. S. 9 1991 On the concept of entanglement in Hilbert spaces. Zbl 1098.47019Werner, R. F.; Kholevo, A. S.; Shirokov, M. E. 9 2005 Additivity for transpose depolarizing channels. Zbl 1090.81014Datta, Nilanjana; Holevo, Alexander S.; Suhov, Yuri 9 2006 Coding theorems of quantum information theory. Zbl 1030.94020Holevo, A. S. 9 2001 Problems in the mathematical theory of quantum communication channels. Zbl 0379.94001Holevo, A. S. 9 1977 Unbounded generators of dynamical semigroups. Zbl 1381.81068Siemon, I.; Holevo, A. S.; Werner, R. F. 9 2017 On conservativity of covariant dynamical semigroups. Zbl 0808.60064Holevo, A. S. 9 1993 Statistical definition of observable and the structure of statistical models. Zbl 0607.46048Kholevo, A. S. 8 1985 Multiplicativity of \(p\)-norms of completely positive maps and the additivity problem in quantum information theory. Zbl 1325.81052Holevo, A. S. 8 2006 Quantum communication, computing, and measurement. Zbl 0894.00057 8 1997 The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015Holevo, A. S. 8 2011 Reliability function of general classical-quantum channel. Zbl 1002.94014Holevo, A. S. 8 2000 Error exponents for quantum channels with constrained inputs. Zbl 0974.81006Holevo, A. S.; Sohma, M.; Hirota, O. 8 2000 Time-ordered exponentials in quantum stochastic calculus. Zbl 0803.46072Holevo, A. S. 8 1992 Quantum systems, channels, information. A mathematical introduction. 2nd revised and extended edition. Zbl 1418.81001Holevo, Alexander S. 8 2019 Normal form decomposition for Gaussian-to-Gaussian superoperators. Zbl 1316.81013De Palma, Giacomo; Mari, Andrea; Giovannetti, Vittorio; Holevo, Alexander S. 8 2015 The additivity problem in quantum information theory. Zbl 1100.94007Holevo, Alexander S. 7 2006 Exponential formulae in quantum stochastic calculus. Zbl 0846.60097Holevo, A. S. 7 1996 On quasiequivalence of locally normal states. Zbl 0285.46052Holevo, A. S. 7 1973 On the reliability function for a quantum communication channel. Zbl 1113.81301Burnashev, M. V.; Holevo, A. S. 7 1998 Extreme bosonic linear channels. Zbl 1287.81034Holevo, A. S. 6 2013 An analogue of Hunt’s representation theorem in quantum probability. Zbl 0770.60003Barchielli, A.; Kholevo, A. S.; Lupieri, G. 5 1993 On the constrained classical capacity of infinite-dimensional covariant quantum channels. Zbl 1330.81055Holevo, A. S. 5 2016 On a generalization of canonical quantization. Zbl 0613.22012Kholevo, A. S. 5 1987 Some statistical problems for quantum Gaussian states. Zbl 0317.94004Holevo, Alexander S. 5 1975 Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results. Zbl 1200.81013Giovannetti, V.; Holevo, A. S.; Lloyd, S.; Maccone, L. 5 2010 The entropy gain of infinite-dimensional quantum evolutions. Zbl 1236.81051Holevo, A. S. 5 2010 On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005Amosov, G. G.; Kholevo, A. S. 5 2002 Excessive maps, “arrival times” and perturbation of dynamical semigroups. Zbl 0877.47026Holevo, A. S. 5 1995 Quantum-probabilistic analysis of counting statistics with an application to the ”Dolinar receiver”. Zbl 0516.60052Kholevo, A. S. 4 1982 Bounds for generalized uncertainty of the shift parameter. Zbl 0536.60042Holevo, A. S. 4 1983 Testing statistical hypotheses in quantum theory. Zbl 0539.62011Holevo, A. S. 4 1982 On a sufficient condition for additivity in quantum information theory. Zbl 1089.94014Datta, N.; Holevo, A. S.; Suhov, Yu. M. 4 2005 Quantum and classical stochastic calculus. Zbl 1078.81047Holevo, A. S. 4 2003 On singular perturbations of quantum dynamical semigroups. Zbl 1456.47014Holevo, A. S. 4 2018 On the classical capacity of a channel with stationary quantum Gaussian noise. Zbl 1395.81065Holevo, A. S. 4 2018 On the quantum Gaussian optimizers conjecture in the case \( q=p\). Zbl 1403.81007Holevo, Alexander S. 4 2017 On classical capacities of infinite-dimensional quantum channels. Zbl 1271.81040Holevo, A. S.; Shirokov, M. E. 4 2013 On approximation of infinite-dimensional quantum channels. Zbl 1447.94014Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich 3 2008 Gaussian maximizers for quantum Gaussian observables and ensembles. Zbl 1448.81511Holevo, Alexander S. 3 2020 On asymptotically optimal hypotheses testing in quantum statistics. Zbl 0396.62088Holevo, A. S. 3 1978 Generalized imprimitivity systems for Abelian groups. Zbl 0566.22009Kholevo, A. S. 3 1983 Investigations in the general theory of statistical decisions. Zbl 0497.62010Kholevo, A. S. 3 1976 Conditionally positive definite functions in quantum probability. Zbl 0683.46046Holevo, A. S. 3 1987 Information theory aspects of quantum measurement. Zbl 0317.94002Holevo, A. S. 3 1973 Noncommutative analogues of the Cramer-Rao inequality in the quantum measurement theory. Zbl 0348.62016Holevo, A. S. 3 1976 Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 1483.46072Shirokov, M. E.; Holevo, A. S. 3 2019 Stochastic differential equations in Hilbert space and quantum Markovian evolutions. Zbl 0953.81044Holevo, A. S. 3 1996 Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory. Zbl 1009.81013Holevo, A. S. 3 2001 Infinitely divisible measurements in quantum probability theory. Zbl 0623.60005Kholevo, A. S. 2 1987 The theory of statistical decisions on an operator algebra. Zbl 0449.62006Kholevo, A. S. 2 1974 Almost-periodic signal estimation. Zbl 0254.60029Holevo, A. S. 2 1971 On the asymptotic normality of estimates of regression coefficients. Zbl 0254.62017Holevo, A. S. 2 1971 A generalization of the Rao-Cramer inequality. Zbl 0289.62008Holevo, A. S. 2 1973 Note on optimal quantum measurements. Zbl 0309.94001Holevo, A. S. 2 1974 Commutation superoperator of a state and its applications to the noncommutative statistics. Zbl 0369.46058Holevo, A. S. 2 1977 On the proof of the majorization theorem for quantum Gaussian channels. Zbl 1349.81059Holevo, A. S. 2 2016 Extreme covariant observables for type I symmetry groups. Zbl 1235.81016Holevo, Alexander S.; Pellonpää, Juha-Pekka 2 2009 On translation-covariant quantum Markov equations. Zbl 0901.60090Kholevo, A. S. 2 1995 Verallgemeinerte freie Zustände der \(C^ *\)-Algebra der Kommutationsrelationen. Zbl 0207.44303Holevo, A. S. 2 1971 On lower semicontinuity of the entropic disturbance and its applications in quantum information theory. Zbl 1381.81029Shirokov, Maxim E.; Holevo, Alexander S. 2 2017 Gaussian maximizers for quantum Gaussian observables and ensembles. Zbl 1448.81511Holevo, Alexander S. 3 2020 On conditions for an operator to be in the class \(\mathscr{S}_p \). Zbl 1444.47035Holevo, Aleksandr S. 1 2020 Quantum systems, channels, information. A mathematical introduction. 2nd revised and extended edition. Zbl 1418.81001Holevo, Alexander S. 8 2019 Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 1483.46072Shirokov, M. E.; Holevo, A. S. 3 2019 On singular perturbations of quantum dynamical semigroups. Zbl 1456.47014Holevo, A. S. 4 2018 On the classical capacity of a channel with stationary quantum Gaussian noise. Zbl 1395.81065Holevo, A. S. 4 2018 Unbounded generators of dynamical semigroups. Zbl 1381.81068Siemon, I.; Holevo, A. S.; Werner, R. F. 9 2017 On the quantum Gaussian optimizers conjecture in the case \( q=p\). Zbl 1403.81007Holevo, Alexander S. 4 2017 On lower semicontinuity of the entropic disturbance and its applications in quantum information theory. Zbl 1381.81029Shirokov, Maxim E.; Holevo, Alexander S. 2 2017 On a characterization of Gaussian transition operators. Zbl 1378.81017Holevo, A. S. 1 2017 On the constrained classical capacity of infinite-dimensional covariant quantum channels. Zbl 1330.81055Holevo, A. S. 5 2016 On the proof of the majorization theorem for quantum Gaussian channels. Zbl 1349.81059Holevo, A. S. 2 2016 A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046Giovannetti, V.; Holevo, A. S.; García-Patrón, R. 19 2015 Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051Holevo, A. S. 18 2015 Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047Giovannetti, V.; Holevo, A. S.; Mari, A. 11 2015 Normal form decomposition for Gaussian-to-Gaussian superoperators. Zbl 1316.81013De Palma, Giacomo; Mari, Andrea; Giovannetti, Vittorio; Holevo, Alexander S. 8 2015 Coding theorems for hybrid channels. II. Zbl 1330.81059Kuznetsova, A. A.; Holevo, A. S. 1 2015 Coding theorems for hybrid channels. Zbl 1378.94016Kuznetsova, A. A.; Holevo, A. S. 1 2014 Extreme bosonic linear channels. Zbl 1287.81034Holevo, A. S. 6 2013 On classical capacities of infinite-dimensional quantum channels. Zbl 1271.81040Holevo, A. S.; Shirokov, M. E. 4 2013 Quantum systems, channels, information. A mathematical introduction. Zbl 1332.81003Holevo, Alexander S. 96 2012 Information capacity of a quantum observable. Zbl 1283.94026Holevo, A. S. 16 2012 Probabilistic and statistical aspects of quantum theory. With a foreword from the second Russian edition by K. A. Valiev. 2nd ed. Zbl 1338.81001Holevo, Alexander S. 61 2011 Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046Holevo, A. S. 16 2011 The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015Holevo, A. S. 8 2011 Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020Holevo, A. S.; Shirokov, M. E. 11 2010 The semigroup sturucture of Gaussian channels. Zbl 1247.81068Heinosaari, Teiko; Holevo, Alexander S.; Wolf, Michael M. 10 2010 Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results. Zbl 1200.81013Giovannetti, V.; Holevo, A. S.; Lloyd, S.; Maccone, L. 5 2010 The entropy gain of infinite-dimensional quantum evolutions. Zbl 1236.81051Holevo, A. S. 5 2010 Extreme covariant observables for type I symmetry groups. Zbl 1235.81016Holevo, Alexander S.; Pellonpää, Juha-Pekka 2 2009 Entanglement-breaking channels in infinite dimensions. Zbl 1173.81304Holevo, A. S. 18 2008 On approximation of infinite-dimensional quantum channels. Zbl 1447.94014Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich 3 2008 Quantum shared broadcasting. Zbl 1144.81439Giovannetti, V.; Holevo, A. S. 1 2008 Complementary channels and the additivity problem. Zbl 1113.81022Holevo, A. S. 15 2007 One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036Holevo, A. S. 15 2007 Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013Holevo, A. S.; Shirokov, M. E. 20 2006 Complementarity and additivity for covariant channels. Zbl 1106.68367Datta, N.; Fukuda, M.; Holevo, A. S. 13 2006 Additivity for transpose depolarizing channels. Zbl 1090.81014Datta, 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 1325.81052Holevo, A. S. 8 2006 The additivity problem in quantum information theory. Zbl 1100.94007Holevo, Alexander S. 7 2006 Additivity conjecture and covariant channels. Zbl 1133.81320Holevo, A. S. 15 2005 On the concept of entanglement in Hilbert spaces. Zbl 1098.47019Werner, R. F.; Kholevo, A. S.; Shirokov, M. E. 9 2005 On a sufficient condition for additivity in quantum information theory. Zbl 1089.94014Datta, N.; Holevo, A. S.; Suhov, Yu. M. 4 2005 On Shor’s channel extension and constrained channels. Zbl 1080.81005Holevo, A. S.; Shirokov, M. E. 11 2004 Entanglement-assisted capacities of constrained quantum channels. Zbl 1056.94006Kholevo, A. S. 10 2003 Quantum and classical stochastic calculus. Zbl 1078.81047Holevo, A. S. 4 2003 Counterexample to an additivity conjecture for output purity of quantum channels. Quantum information theory. Zbl 1060.94008Werner, R. F.; Holevo, A. S. 52 2002 On entanglement-assisted classical capacity. Quantum information theory. Zbl 1060.94003Holevo, A. S. 22 2002 On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005Amosov, G. G.; Kholevo, A. S. 5 2002 Statistical structure of quantum theory. Zbl 0999.81001Holevo, Alexander S. 111 2001 Coding theorems of quantum information theory. Zbl 1030.94020Holevo, A. S. 9 2001 Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory. Zbl 1009.81013Holevo, A. S. 3 2001 On the additivity conjecture in quantum information theory. Zbl 0983.81004Amosov, G. G.; Holevo, A. S.; Werner, R. F. 21 2000 Reliability function of general classical-quantum channel. Zbl 1002.94014Holevo, A. S. 8 2000 Error exponents for quantum channels with constrained inputs. Zbl 0974.81006Holevo, A. S.; Sohma, M.; Hirota, O. 8 2000 The capacity of the quantum channel with general signal states. Zbl 0897.94008Holevo, A. S. 134 1998 Quantum coding theorems. Zbl 1020.94008Holevo, A. S. 55 1998 Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502Holevo, A. S. 16 1998 On the reliability function for a quantum communication channel. Zbl 1113.81301Burnashev, M. V.; Holevo, A. S. 7 1998 Quantum communication, computing, and measurement. Zbl 0894.00057 8 1997 On dissipative stochastic equations in a Hilbert space. Zbl 0842.60060Holevo, A. S. 20 1996 Covariant quantum Markovian evolutions. Zbl 0869.60102Holevo, A. S. 19 1996 Exponential formulae in quantum stochastic calculus. Zbl 0846.60097Holevo, A. S. 7 1996 Stochastic differential equations in Hilbert space and quantum Markovian evolutions. Zbl 0953.81044Holevo, A. S. 3 1996 There exists a non-standard dynamical semigroup on \(\mathcal L(\mathcal H)\). Zbl 1042.46513Kholevo, A. S. 1 1996 Constructing quantum measurement processes via classical stochastic calculus. Zbl 0829.60050Barchielli, A.; Holevo, A. S. 32 1995 On the structure of covariant dynamical semigroups. Zbl 0827.46053Holevo, A. S. 14 1995 Excessive maps, “arrival times” and perturbation of dynamical semigroups. Zbl 0877.47026Holevo, A. S. 5 1995 On translation-covariant quantum Markov equations. Zbl 0901.60090Kholevo, A. S. 2 1995 A note on covariant dynamical semigroups. Zbl 0794.47026Holevo, A. S. 16 1993 On conservativity of covariant dynamical semigroups. Zbl 0808.60064Holevo, A. S. 9 1993 An analogue of Hunt’s representation theorem in quantum probability. Zbl 0770.60003Barchielli, A.; Kholevo, A. S.; Lupieri, G. 5 1993 Time-ordered exponentials in quantum stochastic calculus. Zbl 0803.46072Holevo, A. S. 8 1992 Quantum stochastic calculus. Zbl 0732.60066Kholevo, A. S. 9 1991 An analog of the Itô decomposition for multiplicative processes with values in a Lie group. Zbl 0781.60060Kholevo, A. S. 1 1990 Conditionally positive definite functions on the coefficient algebra of a nonabelian group. Zbl 0739.46045Denisov, L. V.; Kholevo, A. S. 1 1990 Conditionally positive-definite functions in quantum probability theory. Zbl 0735.46044Kholevo, A. S. 1 1989 Limit theorems for repeated measurements and continuous measurement processes. Zbl 0679.60075Holevo, A. S. 1 1989 A noncommutative generalization of conditionally positive definite functions. Zbl 0647.46050Holevo, A. S. 1 1988 On a generalization of canonical quantization. Zbl 0613.22012Kholevo, A. S. 5 1987 Conditionally positive definite functions in quantum probability. Zbl 0683.46046Holevo, A. S. 3 1987 Infinitely divisible measurements in quantum probability theory. Zbl 0623.60005Kholevo, A. S. 2 1987 A representation of Lévy-Khinchine type in quantum probability theory. Zbl 0664.60006Kholevo, A. S. 1 1987 On a generalization of canonical quantization. Zbl 0606.22015Kholevo, A. S. 1 1986 Statistical definition of observable and the structure of statistical models. Zbl 0607.46048Kholevo, A. S. 8 1985 Covariant measurements and imprimitivity systems. Zbl 0577.22009Holevo, A. S. 1 1984 Bounds for generalized uncertainty of the shift parameter. Zbl 0536.60042Holevo, A. S. 4 1983 Generalized imprimitivity systems for Abelian groups. Zbl 0566.22009Kholevo, A. S. 3 1983 Generalized imprimitivity systems for Abelian groups. Zbl 0536.22012Kholevo, A. S. 1 1983 Probabilistic and statistical aspects of quantum theory. Translated from the Russian by the author. Zbl 0497.46053Holevo, A. S. 306 1982 Quantum-probabilistic analysis of counting statistics with an application to the ”Dolinar receiver”. Zbl 0516.60052Kholevo, A. S. 4 1982 Testing statistical hypotheses in quantum theory. Zbl 0539.62011Holevo, A. S. 4 1982 Probabilistic and statistical aspects in quantum theory. (Veroyatnostnye i statisticheskie aspekty kvantovoj teorii). Zbl 0508.60086Kholevo, A. S. 11 1980 Capacity of a quantum communications channel. Zbl 0449.94010Kholevo, A. S. 1 1980 Covariant measurements and uncertainty relations. Zbl 0447.62011Kholevo, A. S. 20 1979 On asymptotically optimal hypothesis testing in quantum statistics. Zbl 0426.62085Holevo, A. S. 17 1979 A regression problem for time-continuous processes. Zbl 0428.62054Rasulov, N. P.; Kholevo, A. S. 1 1979 On the capacity of a quantum communication channel. Zbl 0433.94008Kholevo, A. S. 1 1979 Estimation of shift parameters of a quantum state. Zbl 0402.47006Holevo, A. S. 12 1978 On asymptotically optimal hypotheses testing in quantum statistics. Zbl 0396.62088Holevo, A. S. 3 1978 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,234 Authors 50 Kholevo, Aleksandr Semënovich 37 Shirokov, Maksim Evgen’evich 23 Amosov, Grigoriĭ Gennad’evich 23 Wilde, Mark M. 20 Datta, Nilanjana 20 Winter, Andreas 16 Gudder, Stanley P. 16 Lahti, Pekka Johannes 15 Giovannetti, Vittorio 15 Pellonpää, Juha-Pekka 14 D’Ariano, Giacomo Mauro 14 Heinosaari, Teiko 13 Jenčová, Anna 12 Filippov, Sergey N. 12 Pellegrini, Clément 11 Barchielli, Alberto 11 Ruskai, Mary Beth 11 Toigo, Alessandro 10 Beneduci, Roberto 10 Boche, Holger 10 Chiribella, Giulio 10 De Palma, Giacomo 10 Kiukas, Jukka 10 Luo, Shunlong 10 Man’ko, Vladimir Ivanovich 10 Paris, Matteo G. A. 10 Petersen, Ian Richard 10 Pulmannová, Sylvia 9 Ban, Masashi 9 Guta, Madalin I. 9 Sakbaev, Vsevolod Zhanovich 9 Teretenkov, Alexander E. 9 Wolf, Michael Marc 8 Audenaert, Koenraad M. R. 8 Benatti, Fabio 8 Fukuda, Motohisa 8 Hayashi, Masahito 8 Hsieh, Min-Hsiu 8 King, Christopher K. 8 Nechita, Ion 8 Petz, Dénes 8 Vacchini, Bassano 8 Vladimirov, Igor G. 8 Ylinen, Kari 7 Cai, Minglai 7 Carmeli, Claudio 7 Collins, Benoît 7 Khrennikov, Andreĭ Yur’evich 7 Mora, Carlos M. 7 Mosonyi, Milán 7 Perinotti, Paolo 7 Weis, Stephan 6 Belavkin, Viacheslav 6 Benoist, Tristan 6 Bugajski, Sławomir 6 Deppe, Christian 6 Floreanini, Roberto 6 Grabowski, Marian 6 Lami, Ludovico 6 Leung, Debbie W. 6 Mancini, Stefano 6 Nussbaum, Michael 6 Parthasarathy, Kalyanapuram Rangachari 6 Pechen, Alexander Nikolaevich 6 Wang, Yazhen 5 Bhat, B. V. Rajarama 5 Cassinelli, Gianni 5 Dvurečenskij, Anatolij 5 Fraas, Martin 5 Haapasalo, Erkka Theodor 5 Hayden, Patrick M. 5 James, Matthew R. 5 Kronberg, D. A. 5 Lloyd, Seth 5 Nötzel, Janis 5 Ozawa, Masanao 5 Plosker, Sarah 5 Rouzé, Cambyse 5 Shor, Peter Williston 5 Szkoła, Arleta 5 Tomamichel, Marco 5 Werner, Reinhard F. 4 Brádler, Kamil 4 Brody, Dorje C. 4 Buscemi, Francesco 4 Busch, Paul 4 Chebotarev, Alexandr M. 4 Clark, Jeremy Thane 4 Daoud, Mohammed 4 Das, Siddhartha 4 De Vito, Ernesto 4 Farenick, Douglas R. 4 Hirota, Osamu 4 Ishikawa, Shiro 4 Jing, Jiliang 4 Junge, Marius 4 Keyl, Michael 4 Kozyrev, Sergeĭ Vladimirovich 4 Kribs, David W. 4 Luati, Alessandra ...and 1,134 more Authors all top 5 Cited in 164 Serials 174 Journal of Mathematical Physics 76 Quantum Information Processing 70 Communications in Mathematical Physics 69 International Journal of Theoretical Physics 43 Physics Letters. A 43 International Journal of Quantum Information 42 Reports on Mathematical Physics 33 Lobachevskii Journal of Mathematics 28 Foundations of Physics 25 Journal of Physics A: Mathematical and Theoretical 20 New Journal of Physics 18 Linear Algebra and its Applications 17 Problems of Information Transmission 17 Annales Henri Poincaré 15 Mathematical Notes 15 Infinite Dimensional Analysis, Quantum Probability and Related Topics 14 Open Systems & Information Dynamics 13 Theoretical and Mathematical Physics 13 The Annals of Statistics 13 Annals of Physics 12 Reviews in Mathematical Physics 12 Physical Review Letters 12 Physical Review A, Third Series 11 Journal of Statistical Physics 11 Letters in Mathematical Physics 9 Journal of Mathematical Sciences (New York) 8 Journal of Mathematical Analysis and Applications 8 Physica A 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 7 Journal of High Energy Physics 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 Entropy 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 International Journal of Modern Physics A 4 Advances in Mathematics 4 Statistics & Probability Letters 4 Probability Theory and Related Fields 4 Stochastic Processes and their Applications 4 Quantum Studies: Mathematics and Foundations 3 Modern Physics Letters B 3 Classical and Quantum Gravity 3 Ukrainian Mathematical Journal 3 Automatica 3 Statistical Science 3 International Journal of Mathematics 3 Russian Mathematics 3 Sbornik: Mathematics 3 Doklady 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 SIAM Journal on Control and Optimization 2 Synthese 2 Information and Computation 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 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 Quanta 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 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 ...and 64 more Serials all top 5 Cited in 55 Fields 1,015 Quantum theory (81-XX) 363 Information and communication theory, circuits (94-XX) 211 Functional analysis (46-XX) 146 Operator theory (47-XX) 137 Probability theory and stochastic processes (60-XX) 104 Statistics (62-XX) 100 Statistical mechanics, structure of matter (82-XX) 41 Computer science (68-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 24 Systems theory; control (93-XX) 23 Partial differential equations (35-XX) 20 Measure and integration (28-XX) 20 Relativity and gravitational theory (83-XX) 18 Mathematical logic and foundations (03-XX) 16 Group theory and generalizations (20-XX) 16 Topological groups, Lie groups (22-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Numerical analysis (65-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Differential geometry (53-XX) 9 Mechanics of particles and systems (70-XX) 8 Abstract harmonic analysis (43-XX) 8 Operations research, mathematical programming (90-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 6 Optics, electromagnetic theory (78-XX) 5 Combinatorics (05-XX) 5 Algebraic geometry (14-XX) 5 Nonassociative rings and algebras (17-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 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Geometry (51-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 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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