Edit Profile Kholevo, Aleksandr Semënovich Compute Distance To: Compute Author ID: holevo.alexander-s Published as: Holevo, A. S.; Holevo, Aleksandr S.; Holevo, Aleksandr Semenovich; Holevo, Alexander S.; Kholevo, A. S. Homepage: http://www.mi.ras.ru/~holevo External Links: Math-Net.Ru · Wikidata · ORCID · dblp · GND Documents Indexed: 165 Publications since 1965, including 8 Books Reviewing Activity: 103 Reviews Biographic References: 3 Publications all top 5 Co-Authors 125 single-authored 11 Shirokov, Maksim Evgen’evich 5 Giovannetti, Vittorio 4 Werner, Reinhard F. 3 Datta, Nilanjana 2 Amosov, Grigori G. 2 Barchielli, Alberto 2 Bogomolov, N. A. 2 Burnashev, Marat V. 2 Hirota, Osamu 2 Kuznetsova, A. A. 2 Mari, Andrea 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 Lvovich 1 Fukuda, Mituhiro 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 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, 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 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 Reports on Mathematical Physics 7 Journal of Mathematical Physics 7 Teoriya Veroyatnosteĭ i eë Primeneniya 7 Theoretical and Mathematical Physics 5 Teoreticheskaya i Matematicheskaya Fizika 5 Problemy Peredachi Informatsii 4 IEEE Transactions on Information Theory 3 Journal of Multivariate Analysis 3 Journal of Soviet Mathematics 3 Mathematical Methods of Statistics 3 Izvestiya: Mathematics 2 Communications in Mathematical Physics 2 Mathematical Notes 2 Soviet Mathematics 2 Quantum Information Processing 2 International Journal of Quantum Information 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Functional Analysis and its Applications 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 1 Journal of Functional Analysis 1 Mathematics of the USSR. Izvestiya 1 Sankhyā. Series A. Methods and Techniques 1 Soviet Mathematics. Doklady 1 Transactions of the Moscow Mathematical Society 1 Probability and Mathematical Statistics 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Russian Academy of Sciences. Doklady. Mathematics 1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 1 Doklady Mathematics 1 Open Systems & Information Dynamics 1 Lobachevskii Journal of Mathematics 1 Foundations of Physics 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Quantum Information & Computation 1 De Gruyter Studies in Mathematical Physics 1 Lektsionnye Kursy NOTs 1 Texts and Monographs in Theoretical Physics all top 5 Fields 101 Quantum theory (81-XX) 62 Information and communication theory, circuits (94-XX) 42 Functional analysis (46-XX) 42 Probability theory and stochastic processes (60-XX) 30 Statistics (62-XX) 21 Operator theory (47-XX) 9 Topological groups, Lie groups (22-XX) 7 Abstract harmonic analysis (43-XX) 5 Measure and integration (28-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 3 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 119 Publications have been cited 1,585 times in 1,062 Documents Cited by ▼ Year ▼ Probabilistic and statistical aspects of quantum theory. Translated from the Russian by the author. Zbl 0497.46053Holevo, A. S. 306 1982 The capacity of the quantum channel with general signal states. Zbl 0897.94008Holevo, A. S. 125 1998 Statistical structure of quantum theory. Zbl 0999.81001Holevo, Alexander S. 105 2001 Quantum systems, channels, information. A mathematical introduction. Zbl 1332.81003Holevo, Alexander S. 75 2012 Statistical decision theory for quantum systems. Zbl 0275.62004Holevo, A. S. 60 1973 Probabilistic and statistical aspects of quantum theory. With a foreword from the second Russian edition by K. A. Valiev. 2nd ed. Zbl 1338.81001Holevo, Alexander S. 57 2011 Quantum coding theorems. Zbl 1020.94008Holevo, A. S. 49 1998 Counterexample to an additivity conjecture for output purity of quantum channels. Quantum information theory. Zbl 1060.94008Werner, R. F.; Holevo, A. S. 46 2002 Some estimates of information transmitted through quantum communication channel. Zbl 0317.94003Holevo, A. S. 46 1973 Constructing quantum measurement processes via classical stochastic calculus. Zbl 0829.60050Barchielli, A.; Holevo, A. S. 29 1995 On entanglement-assisted classical capacity. Quantum information theory. Zbl 1060.94003Holevo, A. S. 22 2002 On dissipative stochastic equations in a Hilbert space. Zbl 0842.60060Holevo, A. S. 20 1996 Covariant measurements and uncertainty relations. Zbl 0447.62011Kholevo, A. S. 20 1979 On the additivity conjecture in quantum information theory. Zbl 0983.81004Amosov, G. G.; Holevo, A. S.; Werner, R. F. 19 2000 Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051Holevo, A. S. 17 2015 Covariant quantum Markovian evolutions. Zbl 0869.60102Holevo, A. S. 17 1996 An analog of the theory of statistical decisions in noncommutative probability theory. Zbl 0289.62007Holevo, A. S. 17 1972 A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046Giovannetti, V.; Holevo, A. S.; García-Patrón, R. 16 2015 A note on covariant dynamical semigroups. Zbl 0794.47026Holevo, A. S. 16 1993 On asymptotically optimal hypothesis testing in quantum statistics. Zbl 0426.62085Holevo, A. S. 16 1979 Information capacity of a quantum observable. Zbl 1283.94026Holevo, A. S. 15 2012 Entanglement-breaking channels in infinite dimensions. Zbl 1173.81304Holevo, A. S. 15 2008 Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013Holevo, A. S.; Shirokov, M. E. 15 2006 Complementary channels and the additivity problem. Zbl 1113.81022Holevo, A. S. 14 2007 Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502Holevo, A. S. 14 1998 On the structure of covariant dynamical semigroups. Zbl 0827.46053Holevo, A. S. 14 1995 Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046Holevo, A. S. 13 2011 One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036Holevo, A. S. 13 2007 Additivity conjecture and covariant channels. Zbl 1133.81320Holevo, A. S. 13 2005 Complementarity and additivity for covariant channels. Zbl 1106.68367Datta, N.; Fukuda, M.; Holevo, A. S. 11 2006 On Shor’s channel extension and constrained channels. Zbl 1080.81005Holevo, A. S.; Shirokov, M. E. 11 2004 Probabilistic and statistical aspects in quantum theory. (Veroyatnostnye i statisticheskie aspekty kvantovoj teorii). Zbl 0508.60086Kholevo, A. S. 11 1980 Estimation of shift parameters of a quantum state. Zbl 0402.47006Holevo, A. S. 11 1978 Statistical problems in quantum physics. Zbl 0265.62037Holevo, A. S. 11 1973 On estimates of regression coefficients. Zbl 0199.53601Kholevo, A. S. 11 1969 Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020Holevo, A. S.; Shirokov, M. E. 9 2010 On the concept of entanglement in Hilbert spaces. Zbl 1098.47019Werner, R. F.; Kholevo, A. S.; Shirokov, M. E. 9 2005 Coding theorems of quantum information theory. Zbl 1030.94020Holevo, A. S. 9 2001 On conservativity of covariant dynamical semigroups. Zbl 0808.60064Holevo, A. S. 9 1993 The semigroup sturucture of Gaussian channels. Zbl 1247.81068Heinosaari, Teiko; Holevo, Alexander S.; Wolf, Michael M. 8 2010 Multiplicativity of \(p\)-norms of completely positive maps and the additivity problem in quantum information theory. Zbl 1325.81052Holevo, A. S. 8 2006 Additivity for transpose depolarizing channels. Zbl 1090.81014Datta, Nilanjana; Holevo, Alexander S.; Suhov, Yuri 8 2006 Entanglement-assisted capacities of constrained quantum channels. Zbl 1056.94006Kholevo, A. S. 8 2003 Time-ordered exponentials in quantum stochastic calculus. Zbl 0803.46072Holevo, A. S. 8 1992 Problems in the mathematical theory of quantum communication channels. Zbl 0379.94001Holevo, A. S. 8 1977 Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047Giovannetti, V.; Holevo, A. S.; Mari, A. 7 2015 Normal form decomposition for Gaussian-to-Gaussian superoperators. Zbl 1316.81013De Palma, Giacomo; Mari, Andrea; Giovannetti, Vittorio; Holevo, Alexander S. 7 2015 The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015Holevo, A. S. 7 2011 Error exponents for quantum channels with constrained inputs. Zbl 0974.81006Holevo, A. S.; Sohma, M.; Hirota, O. 7 2000 Reliability function of general classical-quantum channel. Zbl 1002.94014Holevo, A. S. 7 2000 Quantum communication, computing, and measurement. Zbl 0894.00057Hirota, O. (ed.); Holevo, A. S. (ed.); Caves, C. M. (ed.) 7 1997 Quantum stochastic calculus. Zbl 0732.60066Kholevo, A. S. 7 1991 Statistical definition of observable and the structure of statistical models. Zbl 0607.46048Kholevo, A. S. 7 1985 Quantum-probabilistic analysis of counting statistics with an application to the ”Dolinar receiver”. Zbl 0516.60052Kholevo, A. S. 7 1982 Unbounded generators of dynamical semigroups. Zbl 1381.81068Siemon, I.; Holevo, A. S.; Werner, R. F. 6 2017 Extreme bosonic linear channels. Zbl 1287.81034Holevo, A. S. 6 2013 The additivity problem in quantum information theory. Zbl 1100.94007Holevo, Alexander S. 6 2006 On the reliability function for a quantum communication channel. Zbl 1113.81301Burnashev, M. V.; Holevo, A. S. 6 1998 Exponential formulae in quantum stochastic calculus. Zbl 0846.60097Holevo, A. S. 6 1996 On the constrained classical capacity of infinite-dimensional covariant quantum channels. Zbl 1330.81055Holevo, A. S. 5 2016 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 On a sufficient condition for additivity in quantum information theory. Zbl 1089.94014Datta, N.; Holevo, A. S.; Suhov, Yu. M. 5 2005 On a generalization of canonical quantization. Zbl 0613.22012Kholevo, A. S. 5 1987 On quasiequivalence of locally normal states. Zbl 0285.46052Holevo, A. S. 5 1973 On the quantum Gaussian optimizers conjecture in the case \( q=p\). Zbl 1403.81007Holevo, Alexander S. 4 2017 The entropy gain of infinite-dimensional quantum evolutions. Zbl 1236.81051Holevo, A. S. 4 2010 Quantum and classical stochastic calculus. Zbl 1078.81047Holevo, A. S. 4 2003 On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005Amosov, G. G.; Kholevo, A. S. 4 2002 An analogue of Hunt’s representation theorem in quantum probability. Zbl 0770.60003Barchielli, A.; Kholevo, A. S.; Lupieri, G. 4 1993 Bounds for generalized uncertainty of the shift parameter. Zbl 0536.60042Holevo, A. S. 4 1983 Noncommutative analogues of the Cramer-Rao inequality in the quantum measurement theory. Zbl 0348.62016Holevo, A. S. 4 1976 On the classical capacity of a channel with stationary quantum Gaussian noise. Zbl 1395.81065Holevo, A. S. 3 2018 On classical capacities of infinite-dimensional quantum channels. Zbl 1271.81040Holevo, A. S.; Shirokov, M. E. 3 2013 Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory. Zbl 1009.81013Holevo, A. S. 3 2001 Stochastic differential equations in Hilbert space and quantum Markovian evolutions. Zbl 0953.81044Holevo, A. S. 3 1996 Conditionally positive definite functions in quantum probability. Zbl 0683.46046Holevo, A. S. 3 1987 Generalized imprimitivity systems for Abelian groups. Zbl 0566.22009Kholevo, A. S. 3 1983 Testing statistical hypotheses in quantum theory. Zbl 0539.62011Holevo, A. S. 3 1982 On asymptotically optimal hypotheses testing in quantum statistics. Zbl 0396.62088Holevo, A. S. 3 1978 Investigations in the general theory of statistical decisions. Zbl 0497.62010Kholevo, A. S. 3 1976 Some statistical problems for quantum Gaussian states. Zbl 0317.94004Holevo, Alexander S. 3 1975 Information theory aspects of quantum measurement. Zbl 0317.94002Holevo, A. S. 3 1973 Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 07150887Shirokov, M. E.; Holevo, A. S. 2 2019 On singular perturbations of quantum dynamical semigroups. Zbl 06893879Holevo, A. S. 2 2018 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 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 Excessive maps, “arrival times” and perturbation of dynamical semigroups. Zbl 0877.47026Holevo, A. S. 2 1995 Infinitely divisible measurements in quantum probability theory. Zbl 0623.60005Kholevo, A. S. 2 1987 Commutation superoperator of a state and its applications to the noncommutative statistics. Zbl 0369.46058Holevo, A. S. 2 1977 The theory of statistical decisions on an operator algebra. Zbl 0449.62006Kholevo, A. S. 2 1974 Note on optimal quantum measurements. Zbl 0309.94001Holevo, A. S. 2 1974 A generalization of the Rao-Cramer inequality. Zbl 0289.62008Holevo, A. S. 2 1973 Some statistical problems for quantum fields. Zbl 0253.60089Holevo, A. S. 2 1972 On the asymptotic normality of estimates of regression coefficients. Zbl 0254.62017Holevo, A. S. 2 1971 Almost-periodic signal estimation. Zbl 0254.60029Holevo, A. S. 2 1971 Verallgemeinerte freie Zustände der \(C^ *\)-Algebra der Kommutationsrelationen. Zbl 0207.44303Holevo, A. S. 2 1971 Coding theorems for hybrid channels. Zbl 1378.94016Kuznetsova, A. A.; Holevo, A. S. 1 2014 On approximation of infinite-dimensional quantum channels. Zbl 1447.94014Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich 1 2008 Quantum shared broadcasting. Zbl 1144.81439Giovannetti, V.; Holevo, A. S. 1 2008 Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 07150887Shirokov, M. E.; Holevo, A. S. 2 2019 On the classical capacity of a channel with stationary quantum Gaussian noise. Zbl 1395.81065Holevo, A. S. 3 2018 On singular perturbations of quantum dynamical semigroups. Zbl 06893879Holevo, A. S. 2 2018 Unbounded generators of dynamical semigroups. Zbl 1381.81068Siemon, I.; Holevo, A. S.; Werner, R. F. 6 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 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 Gaussian optimizers and the additivity problem in quantum information theory. Zbl 1380.81051Holevo, A. S. 17 2015 A solution of Gaussian optimizer conjecture for quantum channels. Zbl 1308.81046Giovannetti, V.; Holevo, A. S.; García-Patrón, R. 16 2015 Majorization and additivity for multimode bosonic Gaussian channels. Zbl 1317.81047Giovannetti, V.; Holevo, A. S.; Mari, A. 7 2015 Normal form decomposition for Gaussian-to-Gaussian superoperators. Zbl 1316.81013De Palma, Giacomo; Mari, Andrea; Giovannetti, Vittorio; Holevo, Alexander S. 7 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. 3 2013 Quantum systems, channels, information. A mathematical introduction. Zbl 1332.81003Holevo, Alexander S. 75 2012 Information capacity of a quantum observable. Zbl 1283.94026Holevo, 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 1338.81001Holevo, Alexander S. 57 2011 Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions. Zbl 1274.81046Holevo, A. S. 13 2011 The Choi-Jamiolkowski forms of quantum Gaussian channels. Zbl 1316.81015Holevo, A. S. 7 2011 Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020Holevo, A. S.; Shirokov, M. E. 9 2010 The semigroup sturucture of Gaussian channels. Zbl 1247.81068Heinosaari, 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 1200.81013Giovannetti, V.; Holevo, A. S.; Lloyd, S.; Maccone, L. 5 2010 The entropy gain of infinite-dimensional quantum evolutions. Zbl 1236.81051Holevo, A. S. 4 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. 15 2008 On approximation of infinite-dimensional quantum channels. Zbl 1447.94014Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich 1 2008 Quantum shared broadcasting. Zbl 1144.81439Giovannetti, V.; Holevo, A. S. 1 2008 Complementary channels and the additivity problem. Zbl 1113.81022Holevo, A. S. 14 2007 One-mode quantum Gaussian channels: structure and quantum capacity. Zbl 1237.94036Holevo, A. S. 13 2007 Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013Holevo, A. S.; Shirokov, M. E. 15 2006 Complementarity and additivity for covariant channels. Zbl 1106.68367Datta, N.; Fukuda, M.; Holevo, A. S. 11 2006 Multiplicativity of \(p\)-norms of completely positive maps and the additivity problem in quantum information theory. Zbl 1325.81052Holevo, A. S. 8 2006 Additivity for transpose depolarizing channels. Zbl 1090.81014Datta, Nilanjana; Holevo, Alexander S.; Suhov, Yuri 8 2006 The additivity problem in quantum information theory. Zbl 1100.94007Holevo, Alexander S. 6 2006 Additivity conjecture and covariant channels. Zbl 1133.81320Holevo, A. S. 13 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. 5 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. 8 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. 46 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. 4 2002 Statistical structure of quantum theory. Zbl 0999.81001Holevo, Alexander S. 105 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. 19 2000 Error exponents for quantum channels with constrained inputs. Zbl 0974.81006Holevo, A. S.; Sohma, M.; Hirota, O. 7 2000 Reliability function of general classical-quantum channel. Zbl 1002.94014Holevo, A. S. 7 2000 Letter to the editor: On the reliability function of a quantum communication channel. Zbl 1029.94022Burnashev, M. V.; Holevo, A. S. 1 1999 The capacity of the quantum channel with general signal states. Zbl 0897.94008Holevo, A. S. 125 1998 Quantum coding theorems. Zbl 1020.94008Holevo, A. S. 49 1998 Radon-Nikodým derivatives of quantum instruments. Zbl 1056.81502Holevo, A. S. 14 1998 On the reliability function for a quantum communication channel. Zbl 1113.81301Burnashev, M. V.; Holevo, A. S. 6 1998 Quantum communication, computing, and measurement. Zbl 0894.00057Hirota, O. (ed.); Holevo, A. S. (ed.); Caves, C. M. (ed.) 7 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. 17 1996 Exponential formulae in quantum stochastic calculus. Zbl 0846.60097Holevo, A. S. 6 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. 29 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. 2 1995 On translation-covariant quantum Markov equations. Zbl 0901.60090Kholevo, A. S. 1 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. 4 1993 Time-ordered exponentials in quantum stochastic calculus. Zbl 0803.46072Holevo, A. S. 8 1992 Quantum stochastic calculus. Zbl 0732.60066Kholevo, A. S. 7 1991 Conditionally positive definite functions on the coefficient algebra of a nonabelian group. Zbl 0739.46045Denisov, L. V.; Kholevo, A. S. 1 1990 An analog of the Itô decomposition for multiplicative processes with values in a Lie group. Zbl 0781.60060Kholevo, A. S. 1 1990 Limit theorems for repeated measurements and continuous measurement processes. Zbl 0679.60075Holevo, A. S. 1 1989 Conditionally positive-definite functions in quantum probability theory. Zbl 0735.46044Kholevo, 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. 7 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. 7 1982 Testing statistical hypotheses in quantum theory. Zbl 0539.62011Holevo, A. S. 3 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. 16 1979 On the capacity of a quantum communication channel. Zbl 0433.94008Kholevo, A. S. 1 1979 A regression problem for time-continuous processes. Zbl 0428.62054Rasulov, N. P.; Kholevo, A. S. 1 1979 Estimation of shift parameters of a quantum state. Zbl 0402.47006Holevo, A. S. 11 1978 On asymptotically optimal hypotheses testing in quantum statistics. Zbl 0396.62088Holevo, A. S. 3 1978 A regression problem for processes with continuous time. Zbl 0397.62058Rasulov, N. P.; Holevo, A. S. 1 1978 Problems in the mathematical theory of quantum communication channels. Zbl 0379.94001Holevo, A. S. 8 1977 Commutation superoperator of a state and its applications to the noncommutative statistics. Zbl 0369.46058Holevo, A. S. 2 1977 Noncommutative analogues of the Cramer-Rao inequality in the quantum measurement theory. Zbl 0348.62016Holevo, A. S. 4 1976 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,184 Authors 47 Kholevo, Aleksandr Semënovich 29 Shirokov, Maksim Evgen’evich 23 Wilde, Mark M. 20 Winter, Andreas 18 Amosov, Grigori G. 18 Datta, Nilanjana 17 Lahti, Pekka Johannes 16 Pellonpää, Juha-Pekka 15 D’Ariano, Giacomo Mauro 15 Giovannetti, Vittorio 14 Heinosaari, Teiko 12 Jenčová, Anna 12 Wolf, Michael Marc 11 Barchielli, Alberto 11 Chiribella, Giulio 11 Kiukas, Jukka 11 Paris, Matteo G. A. 11 Pellegrini, Clément 11 Toigo, Alessandro 10 Beneduci, Roberto 10 Filippov, Sergey N. 10 Ruskai, Mary Beth 10 Sakbaev, Vsevolod Zhanovich 9 Ban, Masashi 9 Boche, Holger 9 Gudder, Stanley P. 9 Guta, Madalin I. 9 Man’ko, Vladimir Ivanovich 9 Pulmannová, Sylvia 8 Audenaert, Koenraad M. R. 8 Benatti, Fabio 8 De Palma, Giacomo 8 Fukuda, Motohisa 8 Gudder, Stan 8 Hayashi, Masahito 8 King, Christopher K. 8 Luo, Shunlong 8 Nechita, Ion 8 Petz, Dénes 8 Vacchini, Bassano 8 Ylinen, Kari 7 Cai, Minglai 7 Carmeli, Claudio 7 Hsieh, Min-Hsiu 7 Khrennikov, Andreĭ Yur’evich 7 Mora, Carlos M. 7 Mosonyi, Milán 7 Perinotti, Paolo 6 Belavkin, Viacheslav 6 Bugajski, Sławomir 6 Collins, Benoît 6 Floreanini, Roberto 6 Grabowski, Marian 6 Leung, Debbie W. 6 Mancini, Stefano 6 Ozawa, Masanao 6 Parthasarathy, Kalyanapuram Rangachari 6 Petersen, Ian Richard 6 Teretenkov, Alexander E. 5 Brody, Dorje C. 5 Cassinelli, Gianni 5 Deppe, Christian 5 Dvurečenskij, Anatolij 5 Haapasalo, Erkka Theodor 5 Hayden, Patrick M. 5 Junge, Marius 5 Lami, Ludovico 5 Lloyd, Seth 5 Montanaro, Ashley 5 Nötzel, Janis 5 Nussbaum, Michael 5 Schultz, Jussi 5 Shor, Peter Williston 5 Szkoła, Arleta 5 Tomamichel, Marco 5 Wang, Yazhen 5 Werner, Reinhard F. 4 Benoist, Tristan 4 Bhat, B. V. Rajarama 4 Brádler, Kamil 4 Buscemi, Francesco 4 Busch, Paul 4 Chebotarev, Alexandr M. 4 Das, Siddhartha 4 De Vito, Ernesto 4 Farenick, Douglas R. 4 Fraas, Martin 4 Fröhlich, Jürg Martin 4 Hirota, Osamu 4 Hughston, Lane P. 4 Ishikawa, Shiro 4 Keyl, Michael 4 Kozyrev, Sergeĭ Vladimirovich 4 Müller-Hermes, Alexander 4 Muñoz-Tapia, Ramon 4 Olkhovsky, Vladislav S. 4 Pechen’, Aleksandr Nikolaevich 4 Plosker, Sarah 4 Renner, Renato 4 Verstraete, Frank ...and 1,084 more Authors all top 5 Cited in 151 Serials 171 Journal of Mathematical Physics 74 Quantum Information Processing 64 Communications in Mathematical Physics 58 International Journal of Theoretical Physics 47 Reports on Mathematical Physics 42 International Journal of Quantum Information 41 Physics Letters. A 26 Foundations of Physics 25 Journal of Physics A: Mathematical and Theoretical 19 New Journal of Physics 18 Lobachevskii Journal of Mathematics 17 Problems of Information Transmission 16 Linear Algebra and its Applications 14 Mathematical Notes 14 Annals of Physics 14 Open Systems & Information Dynamics 14 Infinite Dimensional Analysis, Quantum Probability and Related Topics 13 Theoretical and Mathematical Physics 12 The Annals of Statistics 12 Annales Henri Poincaré 12 Physical Review Letters 12 Physical Review A, Third Series 11 Reviews in Mathematical Physics 11 Journal of Mathematical Sciences (New York) 10 Letters in Mathematical Physics 8 Journal of Mathematical Analysis and Applications 8 Journal of Statistical Physics 8 Journal of Soviet Mathematics 8 Journal of Modern Optics 7 Reviews of Modern Physics 7 Journal of Functional Analysis 7 Mathematica Slovaca 7 Theoretical Computer Science 7 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 6 Journal of Multivariate Analysis 6 Russian Journal of Mathematical Physics 6 Proceedings of the Steklov Institute of Mathematics 5 Theory of Probability and its Applications 5 Fuzzy Sets and Systems 5 Entropy 4 International Journal of Modern Physics A 4 International Journal of Modern Physics B 4 Russian Mathematical Surveys 4 Advances in Mathematics 4 Statistics & Probability Letters 4 Information and Computation 4 Stochastic Processes and their Applications 4 Positivity 4 Quantum Studies: Mathematics and Foundations 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Modern Physics Letters B 3 Information Processing Letters 3 Physica A 3 Ukrainian Mathematical Journal 3 Automatica 3 Probability Theory and Related Fields 3 International Journal of Mathematics 3 Russian Mathematics 3 Journal of High Energy Physics 2 Indian Journal of Pure & Applied Mathematics 2 Linear and Multilinear Algebra 2 Physics Reports 2 Chaos, Solitons and Fractals 2 Journal of Geometry and Physics 2 Functional Analysis and its Applications 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Synthese 2 Statistical Science 2 Journal of Theoretical Probability 2 The Annals of Applied Probability 2 Mathematical Methods of Statistics 2 Sbornik: Mathematics 2 Doklady Mathematics 2 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Statistical Inference for Stochastic Processes 2 International Journal of Geometric Methods in Modern Physics 2 Communications in Theoretical Physics 2 Advances in Mathematical Physics 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Axioms 1 Modern Physics Letters A 1 Journal of Computational Physics 1 Metrika 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Physics Letters. B 1 Mathematics of Computation 1 Fortschritte der Physik 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Aplikace Matematiky 1 Applied Mathematics and Optimization 1 Information Sciences 1 Integral Equations and Operator Theory 1 International Journal of Circuit Theory and Applications 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Differential Equations ...and 51 more Serials all top 5 Cited in 55 Fields 936 Quantum theory (81-XX) 351 Information and communication theory, circuits (94-XX) 188 Functional analysis (46-XX) 130 Operator theory (47-XX) 125 Probability theory and stochastic processes (60-XX) 96 Statistics (62-XX) 85 Statistical mechanics, structure of matter (82-XX) 44 Computer science (68-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 22 Partial differential equations (35-XX) 21 Systems theory; control (93-XX) 18 Mathematical logic and foundations (03-XX) 18 Measure and integration (28-XX) 15 Topological groups, Lie groups (22-XX) 14 Group theory and generalizations (20-XX) 13 Relativity and gravitational theory (83-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Numerical analysis (65-XX) 8 Abstract harmonic analysis (43-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Operations research, mathematical programming (90-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Differential geometry (53-XX) 6 General and overarching topics; collections (00-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Optics, electromagnetic theory (78-XX) 4 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 2 Commutative algebra (13-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline