Edit Profile (opens in new tab) Belavkin, Viacheslav (b. 1946 d. 2012) Co-Author Distance Author ID: belavkin.viacheslav Published as: Belavkin, V. P.; Belavkin, Viacheslav P.; Belavkin, Viacheslav; Belavkin, Viacheslav Pavlovich; Belavkin, Vyacheslav P.; Belavkin, Vyacheslav more...less Further Spellings: Белавкин Вячеслав Павлович External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 111 Publications since 1970, including 10 Additional arXiv Preprints 2 Contributions as Editor Biographic References: 2 Publications Co-Authors: 22 Co-Authors with 38 Joint Publications 694 Co-Co-Authors all top 5 Co-Authors 73 single-authored 5 Staszewski, Przemysław 4 Gough, John E. 4 Ji, Un Cig 4 Smolyanov, Oleg Georgievich 3 Grishanin, B. A. 3 Heo, Jaeseong 3 Ohya, Masanori 2 Dai, Xianhua 2 Gregory, Lee 2 Hirota, Osamu 2 Hudson, Robin Lyth 2 Kolokoltsov, Vassili N. 2 Melsheimer, Olaf 1 D’Ariano, Giacomo Mauro 1 Edwards, Samuel C. 1 Edwards, Simon 1 Guţă, M. 1 Maslov, Viktor Pavlovich 1 Perkins, M. G. 1 Pitrik, József 1 Raginsky, Maxim 1 Stratonovich, Rouslan L. all top 5 Serials 7 Reports on Mathematical Physics 4 Journal of Mathematical Physics 4 Mathematical Notes 3 International Journal of Theoretical Physics 3 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 3 Journal of Functional Analysis 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Communications in Mathematical Physics 2 Letters in Mathematical Physics 2 Russian Mathematical Surveys 2 Russian Journal of Mathematical Physics 2 Doklady Mathematics 2 Open Systems & Information Dynamics 2 RIMS Kokyuroku 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Quantum Information Processing 2 Communications on Stochastic Analysis 1 Stochastics 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Theoretical and Mathematical Physics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Theory of Probability and its Applications 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Journal of Multivariate Analysis 1 Journal of Soviet Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Soviet Mathematics. Doklady 1 Bulletin of the Korean Mathematical Society 1 Automation and Remote Control 1 Problems of Control and Information Theory 1 Problemy Peredachi Informatsii 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Doklady Akademii Nauk 1 Tatra Mountains Mathematical Publications 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Quantum Information 1 Stochastics all top 5 Fields 83 Quantum theory (81-XX) 49 Probability theory and stochastic processes (60-XX) 34 Functional analysis (46-XX) 17 Information and communication theory, circuits (94-XX) 13 Systems theory; control (93-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Operator theory (47-XX) 4 Partial differential equations (35-XX) 4 Statistics (62-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 574 times in 355 Documents Cited by ▼ Year ▼ Quantum stochastic calculus and quantum nonlinear filtering. Zbl 0762.60059 Belavkin, Viacheslav P. 78 1992 Quantum continual measurements and a posteriori collapse on CCR. Zbl 0757.60057 Belavkin, V. P. 38 1992 Nondemolition measurements, nonlinear filtering and dynamic programming of quantum stochastic processes. Zbl 0683.93084 Belavkin, Viacheslav P. 34 1989 Theory of the control of observable quantum systems. Zbl 0523.93067 Belavkin, V. P. 34 1983 C*-algebraic generalization of relative entropy and entropy. Zbl 0526.46060 Belavkin, V. P.; Staszewski, P. 33 1982 Measurement, filtering and control in quantum open dynamical systems. Zbl 1056.81050 Belavkin, V. P. 26 1999 A posterior Schrödinger equation for continuous nondemolition measurement. Zbl 0718.47035 Belavkin, V. P. 19 1990 A Radon-Nikodym theorem for completely positive maps. Zbl 0633.46060 Belavkin, V. P.; Staszewski, P. 17 1986 Operational distance and fidelity for quantum channels. Zbl 1110.94022 Belavkin, Viacheslav P.; D’Ariano, Giacomo Mauro; Raginsky, Maxim 16 2005 Quantum stochastic positive evolutions: Characterization, construction, dilation. Zbl 0874.60073 Belavkin, V. P. 16 1997 Optimal multiple quantum statistical hypothesis testing. Zbl 0353.62025 Belavkin, V. P. 15 1975 A quantum nonadapted Ito formula and stochastic analysis in Fock scale. Zbl 0736.60049 Belavkin, V. P. 15 1991 A new form and a *-algebraic structure of quantum stochastic integrals in Fock space. Zbl 0708.60048 Belavkin, V. P. 13 1988 Entanglement, quantum entropy and mutual information. Zbl 1088.81030 Belavkin, Viacheslav P.; Ohya, Masanori 13 2002 Quantum filtering of Markov signals with white quantum noise. Zbl 0942.81590 Belavkin, V. P. 10 1995 A stochastic posterior Schrödinger equation for counting nondemolition measurement. Zbl 0713.60114 Belavkin, V. P. 9 1990 Quantum entropy and information in discrete entangled states. Zbl 1039.81009 Belavkin, Viacheslav P.; Ohya, Masanori 9 2001 Quantum diffusion, measurement and filtering. I. Zbl 0819.60046 Belavkin, V. P. 9 1993 On quantum Itô algebras and their decompositions. Zbl 0909.46051 Belavkin, V. P. 9 1998 On a general kinetic equation for many-particle systems with interaction, fragmentation and coagulation. Zbl 1070.82022 Belavkin, V. P.; Kolokol’tsov, V. N. 8 2003 Monotone quantum stochastic processes and covariant dynamical hemigroups. Zbl 1250.46044 Heo, Jaeseong; Belavkin, Viacheslav P.; Ji, Un Cig 7 2011 Quantum filtering and optimal control. Zbl 1193.81061 Belavkin, Viacheslav P.; Edwards, Simon 7 2008 A continuous observation of photon emission. Zbl 0744.60118 Belavkin, V. P.; Staszewski, P. 6 1991 Quantum filtering and optimal feedback control of a Gaussian quantum free particle. Zbl 1151.81309 Edwards, S. C.; Belavkin, V. P. 6 2006 Quantum control and information processing. Zbl 1267.81188 Gough, John E.; Belavkin, Viacheslav P. 6 2013 Stochastic posterior equations for quantum nonlinear filtering. Zbl 0743.46066 Belavkin, V. P. 5 1990 A quantum nonadapted Ito formula and stochastic analysis in Fock scale. Zbl 0737.60042 Belavkin, V. P. 5 1991 Multiquantum systems and point processes. I: Generating functionals and nonlinear semigroups. Zbl 0731.60110 Belavkin, V. P. 5 1989 Chaotic states and stochastic integration in quantum systems. Zbl 0821.46093 Belavkin, V. P. 5 1992 Reconstruction theorem for stationary monotone quantum Markov processes. Zbl 1245.46051 Heo, Jaeseong; Belavkin, Viacheslav P.; Ji, Un Cig 4 2012 An operational algebraic approach to quantum channel capacity. Zbl 1156.81008 Belavkin, V. P.; Dai, X. 4 2008 On stochastic Schrödinger equation as a Dirac boundary-value problem, and an inductive stochastic limit. Zbl 0974.81033 Belavkin, V. P. 4 2001 Stochastic evolution as a quasiclassical limit of a boundary value problem for Schrödinger equations. Zbl 1057.60058 Belavkin, V. P.; Kolokol’tsov, V. N. 4 2002 Feynman path integral corresponding to the Schrödinger stochastic equation. Zbl 1065.81564 Belavkin, V. P.; Smolyanov, O. G. 4 1998 The world of quantum noise and the fundamental output process. Zbl 0942.81591 Belavkin, V. P.; Hirota, O.; Hudson, R. L. 4 1995 Quantum communications and measurement. Papers from the international workshop, Univ. of Nottingham, Nottingham, GB, July 10–16, 1994. Zbl 0942.81501 4 1995 A dynamical theory of quantum measurement and spontaneous localization. Zbl 0908.60085 Belavkin, Viacheslav P. 4 1995 Optimal quantum filtration of Markovian signals. Zbl 0397.94001 Belavkin, V. P. 3 1978 A reconstruction theorem for a quantum random field. Zbl 0548.60054 Belavkin, V. P. 3 1984 Optimal linear randomized filtration of quantum boson signals. Zbl 0318.94003 Belavkin, V. P. 3 1974 Quantum stochastics, Dirac boundary value problem, and the ultrarelativistic limit. Zbl 0976.81023 Belavkin, V. P. 3 2000 Quantum stochastic differential equation for unstable systems. Zbl 0973.81063 Belavkin, V. P.; Staszewski, P. 3 2000 Quantum quasi-Markov processes in eventum mechanics dynamics, observation, filtering and control. Zbl 1308.81124 Belavkin, Viacheslav P. 3 2013 A posterior stochastic equation for quantum Brownian motion. Zbl 0818.60098 Belavkin, V. P. 3 1990 Quantum trajectories, state diffusion, and time-asymmetric eventum mechanics. Zbl 1046.81065 Belavkin, V. P. 3 2003 Conditional entropy in algebraic statistical physics. Zbl 0587.46056 Belavkin, V. P.; Staszewski, P. 2 1984 Positive definite germs of quantum stochastic processes. Zbl 0845.60105 Belavkin, Viacheslav 2 1996 Contravariant densities, complete distancesand relative fidelities for quantum channels. Zbl 1140.81320 Belavkin, Viacheslav 2 2005 On entangled information and quantum capacity. Zbl 0981.81017 Belavkin, Viacheslav P. 2 2001 Quantum Itô \(B^*\)-algebras, their classification and decomposition. Zbl 0979.46049 Belavkin, V. P. 2 1998 A quantum nonadapted stochastic calculus and non stationary evolution in Fock scale. Zbl 0937.60045 Belavkin, V. P. 2 1991 Stochastic calculus of quantum input-output processes and quantum nondemolition filtering. Zbl 0731.60040 Belavkin, V. P. 2 1991 A Hamiltonian solution to quantum collapse, state diffusion and spontaneous localization. Zbl 0942.81511 Belavkin, V. P.; Melsheimer, O. 2 1995 Kernel representations of *-semigroups associated with infinitely divisible states. Zbl 0787.46050 Belavkin, V. P. 2 1992 Noncommutative dynamics and generalized master equations. Zbl 1280.81083 Belavkin, V. P. 2 2010 Quantum demolition filtering and optimal control of unstable systems. Zbl 1353.81064 Belavkin, V. P. 2 2012 Ordered *-semirings and generating functionals of quantum statistics. Zbl 0639.16024 Belavkin, V. P. 1 1987 Multiple Q-adapted integrals and Itô formula of noncommutative stochastic calculus in Fock space. Zbl 1331.81166 Belavkin, V. P.; Brown, M. F. 1 2012 A pseudo-Euclidean representation of conditionally positive mappings. Zbl 0813.46053 Belavkin, V. P. 1 1991 Analysis of problem of optimum estimation for quantum channels by the method of the generalized Heisenberg inequality. Zbl 0326.94003 Belavkin, V. P.; Grishanin, B. A. 1 1973 New types of quantum entropies and additive information capacities. Zbl 1243.81047 Belavkin, Viacheslav P. 1 2011 Quantum white noise analysis and quantum stochastic equations. Zbl 1244.81036 Belavkin, V. P.; Heo, Jaeseong; Ji, Un Cig 1 2011 Optimal observation of boson signals in quantum Gaussian channels. Zbl 0328.94002 Belavkin, V. P. 1 1975 Quantum filtering and control in example: unstable qubits. Zbl 1191.81126 Belavkin, V. P. 1 2009 \(\mathbf{Q}\)-adapted quantum stochastic integrals and differentials in Fock scale. Zbl 1261.81080 Belavkin, Viacheslav; Brown, Matthew 1 2012 Dynamical solution to the quantum measurement problem, causality, and paradoxes of the quantum century. Zbl 1063.81510 Belavkin, V. P. 1 2000 Quantum probabilities and paradoxes of the quantum century. Zbl 0981.81007 Belavkin, V. P. 1 2000 On stochastic generators of positive definite exponents. Zbl 1115.60109 Belavkin, V. P. 1 2000 The semilogics, quasilogics and other quantum structures. Zbl 0945.81003 Belavkin, Viacheslav Pavlovich 1 1997 A quantum stochastic calculus in Fock space of input and output nondemolition processes. Zbl 0727.60057 Belavkin, Vyacheslav 1 1990 Quantum Itô algebras: axioms, representations, decompositions. Zbl 1077.81519 Belavkin, Viacheslav 1 2003 Dynamical interpretation for the quantum measurement projection postulate. Zbl 0866.47051 Stratonovich, R. L.; Belavkin, V. P. 1 1996 The unified Itô formula has the the pseudo-Poisson structure \(df(x)={[}f(x+b)-f(x)]^{\mu}_{\nu}da^{\nu}_{\mu}\). Zbl 0773.60040 Belavkin, V. P. 1 1993 Measurement and filtering of quantum diffusion. II. Zbl 0872.60049 Belavkin, V. P. 1 1994 The interplay of classical and quantum stochastics: Diffusion, measurement and filtering. Zbl 0835.60057 Belavkin, V. P. 1 1995 On the general form of quantum stochastic evolution equation. Zbl 0914.60082 Belavkin, V. P. 1 1996 The nondemolition measurement of quantum time. Zbl 0913.47064 Belavkin, V. P.; Perkins, M. G. 1 1998 Covariant quantum stochastic flows and their dilation. Zbl 1139.81042 Belavkin, Viacheslav; Gregory, Lee 1 2007 On stochastic generators of completely positive cocycles. Zbl 0912.60083 Belavkin, Vyacheslav P. 1 1995 Quantum control and information processing. Zbl 1267.81188 Gough, John E.; Belavkin, Viacheslav P. 6 2013 Quantum quasi-Markov processes in eventum mechanics dynamics, observation, filtering and control. Zbl 1308.81124 Belavkin, Viacheslav P. 3 2013 Reconstruction theorem for stationary monotone quantum Markov processes. Zbl 1245.46051 Heo, Jaeseong; Belavkin, Viacheslav P.; Ji, Un Cig 4 2012 Quantum demolition filtering and optimal control of unstable systems. Zbl 1353.81064 Belavkin, V. P. 2 2012 Multiple Q-adapted integrals and Itô formula of noncommutative stochastic calculus in Fock space. Zbl 1331.81166 Belavkin, V. P.; Brown, M. F. 1 2012 \(\mathbf{Q}\)-adapted quantum stochastic integrals and differentials in Fock scale. Zbl 1261.81080 Belavkin, Viacheslav; Brown, Matthew 1 2012 Monotone quantum stochastic processes and covariant dynamical hemigroups. Zbl 1250.46044 Heo, Jaeseong; Belavkin, Viacheslav P.; Ji, Un Cig 7 2011 New types of quantum entropies and additive information capacities. Zbl 1243.81047 Belavkin, Viacheslav P. 1 2011 Quantum white noise analysis and quantum stochastic equations. Zbl 1244.81036 Belavkin, V. P.; Heo, Jaeseong; Ji, Un Cig 1 2011 Noncommutative dynamics and generalized master equations. Zbl 1280.81083 Belavkin, V. P. 2 2010 Quantum filtering and control in example: unstable qubits. Zbl 1191.81126 Belavkin, V. P. 1 2009 Quantum filtering and optimal control. Zbl 1193.81061 Belavkin, Viacheslav P.; Edwards, Simon 7 2008 An operational algebraic approach to quantum channel capacity. Zbl 1156.81008 Belavkin, V. P.; Dai, X. 4 2008 Covariant quantum stochastic flows and their dilation. Zbl 1139.81042 Belavkin, Viacheslav; Gregory, Lee 1 2007 Quantum filtering and optimal feedback control of a Gaussian quantum free particle. Zbl 1151.81309 Edwards, S. C.; Belavkin, V. P. 6 2006 Operational distance and fidelity for quantum channels. Zbl 1110.94022 Belavkin, Viacheslav P.; D’Ariano, Giacomo Mauro; Raginsky, Maxim 16 2005 Contravariant densities, complete distancesand relative fidelities for quantum channels. Zbl 1140.81320 Belavkin, Viacheslav 2 2005 On a general kinetic equation for many-particle systems with interaction, fragmentation and coagulation. Zbl 1070.82022 Belavkin, V. P.; Kolokol’tsov, V. N. 8 2003 Quantum trajectories, state diffusion, and time-asymmetric eventum mechanics. Zbl 1046.81065 Belavkin, V. P. 3 2003 Quantum Itô algebras: axioms, representations, decompositions. Zbl 1077.81519 Belavkin, Viacheslav 1 2003 Entanglement, quantum entropy and mutual information. Zbl 1088.81030 Belavkin, Viacheslav P.; Ohya, Masanori 13 2002 Stochastic evolution as a quasiclassical limit of a boundary value problem for Schrödinger equations. Zbl 1057.60058 Belavkin, V. P.; Kolokol’tsov, V. N. 4 2002 Quantum entropy and information in discrete entangled states. Zbl 1039.81009 Belavkin, Viacheslav P.; Ohya, Masanori 9 2001 On stochastic Schrödinger equation as a Dirac boundary-value problem, and an inductive stochastic limit. Zbl 0974.81033 Belavkin, V. P. 4 2001 On entangled information and quantum capacity. Zbl 0981.81017 Belavkin, Viacheslav P. 2 2001 Quantum stochastics, Dirac boundary value problem, and the ultrarelativistic limit. Zbl 0976.81023 Belavkin, V. P. 3 2000 Quantum stochastic differential equation for unstable systems. Zbl 0973.81063 Belavkin, V. P.; Staszewski, P. 3 2000 Dynamical solution to the quantum measurement problem, causality, and paradoxes of the quantum century. Zbl 1063.81510 Belavkin, V. P. 1 2000 Quantum probabilities and paradoxes of the quantum century. Zbl 0981.81007 Belavkin, V. P. 1 2000 On stochastic generators of positive definite exponents. Zbl 1115.60109 Belavkin, V. P. 1 2000 Measurement, filtering and control in quantum open dynamical systems. Zbl 1056.81050 Belavkin, V. P. 26 1999 On quantum Itô algebras and their decompositions. Zbl 0909.46051 Belavkin, V. P. 9 1998 Feynman path integral corresponding to the Schrödinger stochastic equation. Zbl 1065.81564 Belavkin, V. P.; Smolyanov, O. G. 4 1998 Quantum Itô \(B^*\)-algebras, their classification and decomposition. Zbl 0979.46049 Belavkin, V. P. 2 1998 The nondemolition measurement of quantum time. Zbl 0913.47064 Belavkin, V. P.; Perkins, M. G. 1 1998 Quantum stochastic positive evolutions: Characterization, construction, dilation. Zbl 0874.60073 Belavkin, V. P. 16 1997 The semilogics, quasilogics and other quantum structures. Zbl 0945.81003 Belavkin, Viacheslav Pavlovich 1 1997 Positive definite germs of quantum stochastic processes. Zbl 0845.60105 Belavkin, Viacheslav 2 1996 Dynamical interpretation for the quantum measurement projection postulate. Zbl 0866.47051 Stratonovich, R. L.; Belavkin, V. P. 1 1996 On the general form of quantum stochastic evolution equation. Zbl 0914.60082 Belavkin, V. P. 1 1996 Quantum filtering of Markov signals with white quantum noise. Zbl 0942.81590 Belavkin, V. P. 10 1995 The world of quantum noise and the fundamental output process. Zbl 0942.81591 Belavkin, V. P.; Hirota, O.; Hudson, R. L. 4 1995 Quantum communications and measurement. Papers from the international workshop, Univ. of Nottingham, Nottingham, GB, July 10–16, 1994. Zbl 0942.81501 4 1995 A dynamical theory of quantum measurement and spontaneous localization. Zbl 0908.60085 Belavkin, Viacheslav P. 4 1995 A Hamiltonian solution to quantum collapse, state diffusion and spontaneous localization. Zbl 0942.81511 Belavkin, V. P.; Melsheimer, O. 2 1995 The interplay of classical and quantum stochastics: Diffusion, measurement and filtering. Zbl 0835.60057 Belavkin, V. P. 1 1995 On stochastic generators of completely positive cocycles. Zbl 0912.60083 Belavkin, Vyacheslav P. 1 1995 Measurement and filtering of quantum diffusion. II. Zbl 0872.60049 Belavkin, V. P. 1 1994 Quantum diffusion, measurement and filtering. I. Zbl 0819.60046 Belavkin, V. P. 9 1993 The unified Itô formula has the the pseudo-Poisson structure \(df(x)={[}f(x+b)-f(x)]^{\mu}_{\nu}da^{\nu}_{\mu}\). Zbl 0773.60040 Belavkin, V. P. 1 1993 Quantum stochastic calculus and quantum nonlinear filtering. Zbl 0762.60059 Belavkin, Viacheslav P. 78 1992 Quantum continual measurements and a posteriori collapse on CCR. Zbl 0757.60057 Belavkin, V. P. 38 1992 Chaotic states and stochastic integration in quantum systems. Zbl 0821.46093 Belavkin, V. P. 5 1992 Kernel representations of *-semigroups associated with infinitely divisible states. Zbl 0787.46050 Belavkin, V. P. 2 1992 A quantum nonadapted Ito formula and stochastic analysis in Fock scale. Zbl 0736.60049 Belavkin, V. P. 15 1991 A continuous observation of photon emission. Zbl 0744.60118 Belavkin, V. P.; Staszewski, P. 6 1991 A quantum nonadapted Ito formula and stochastic analysis in Fock scale. Zbl 0737.60042 Belavkin, V. P. 5 1991 A quantum nonadapted stochastic calculus and non stationary evolution in Fock scale. Zbl 0937.60045 Belavkin, V. P. 2 1991 Stochastic calculus of quantum input-output processes and quantum nondemolition filtering. Zbl 0731.60040 Belavkin, V. P. 2 1991 A pseudo-Euclidean representation of conditionally positive mappings. Zbl 0813.46053 Belavkin, V. P. 1 1991 A posterior Schrödinger equation for continuous nondemolition measurement. Zbl 0718.47035 Belavkin, V. P. 19 1990 A stochastic posterior Schrödinger equation for counting nondemolition measurement. Zbl 0713.60114 Belavkin, V. P. 9 1990 Stochastic posterior equations for quantum nonlinear filtering. Zbl 0743.46066 Belavkin, V. P. 5 1990 A posterior stochastic equation for quantum Brownian motion. Zbl 0818.60098 Belavkin, V. P. 3 1990 A quantum stochastic calculus in Fock space of input and output nondemolition processes. Zbl 0727.60057 Belavkin, Vyacheslav 1 1990 Nondemolition measurements, nonlinear filtering and dynamic programming of quantum stochastic processes. Zbl 0683.93084 Belavkin, Viacheslav P. 34 1989 Multiquantum systems and point processes. I: Generating functionals and nonlinear semigroups. Zbl 0731.60110 Belavkin, V. P. 5 1989 A new form and a *-algebraic structure of quantum stochastic integrals in Fock space. Zbl 0708.60048 Belavkin, V. P. 13 1988 Ordered *-semirings and generating functionals of quantum statistics. Zbl 0639.16024 Belavkin, V. P. 1 1987 A Radon-Nikodym theorem for completely positive maps. Zbl 0633.46060 Belavkin, V. P.; Staszewski, P. 17 1986 A reconstruction theorem for a quantum random field. Zbl 0548.60054 Belavkin, V. P. 3 1984 Conditional entropy in algebraic statistical physics. Zbl 0587.46056 Belavkin, V. P.; Staszewski, P. 2 1984 Theory of the control of observable quantum systems. Zbl 0523.93067 Belavkin, V. P. 34 1983 C*-algebraic generalization of relative entropy and entropy. Zbl 0526.46060 Belavkin, V. P.; Staszewski, P. 33 1982 Optimal quantum filtration of Markovian signals. Zbl 0397.94001 Belavkin, V. P. 3 1978 Optimal multiple quantum statistical hypothesis testing. Zbl 0353.62025 Belavkin, V. P. 15 1975 Optimal observation of boson signals in quantum Gaussian channels. Zbl 0328.94002 Belavkin, V. P. 1 1975 Optimal linear randomized filtration of quantum boson signals. Zbl 0318.94003 Belavkin, V. P. 3 1974 Analysis of problem of optimum estimation for quantum channels by the method of the generalized Heisenberg inequality. Zbl 0326.94003 Belavkin, V. P.; Grishanin, B. A. 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 422 Authors 29 Belavkin, Viacheslav 26 Petersen, Ian Richard 18 Gough, John E. 12 James, Matthew R. 12 Ji, Un Cig 12 Kolokoltsov, Vassili N. 10 Pellegrini, Clément 8 Barchielli, Alberto 8 Heo, Jaeseong 8 Nurdin, Hendra Ishwara 7 Accardi, Luigi 7 Staszewski, Przemysław 7 Vladimirov, Igor G. 7 Zhang, Guofeng 6 Amini, Nina H. 6 Lindsay, J. Martin 6 Ticozzi, Francesco 5 Benoist, Tristan 5 Dąbrowska, Anita Magdalena 5 Hiai, Fumio 5 Matsuoka, Takashi 5 Ohya, Masanori 5 Seo, Yuki 5 Shirokov, Maksim Evgen’evich 4 Bauer, Michel 4 Bernard, Denis 4 Gao, Qing 4 Guta, Madalin I. 4 Hudson, Robin Lyth 4 Liang, Weichao 4 Obata, Nobuaki 4 Pulmannová, Sylvia 4 Woolley, Matthew James 4 Yamamoto, Naoki 3 Albeverio, Sergio A. 3 Chruściński, Dariusz 3 Dong, Daoyi 3 Emzir, Muhammad Fuady 3 Finkelshteĭn, Dmitriĭ Leonidovich 3 Garrahan, Juan Pedro 3 Grivopoulos, Symeon 3 Kondrat’yev, Yuriĭ Grygorovych 3 Kuang, Sen 3 Kutoviy, Oleksandr V. 3 Paganoni, Anna Maria 3 Parthasarathy, Kalyanapuram Rangachari 3 Petz, Dénes 3 Privault, Nicolas 3 Shi, Yuanhao 3 Smolyanov, Oleg Georgievich 3 Wen, Jie 3 Wilde, Mark M. 2 Attal, Stéphane 2 Belton, Alexander C. R. 2 Bouten, Luc 2 Burić, Nikola I. 2 Chebotarev, Alexandr M. 2 Chiribella, Giulio 2 Christie, Robson 2 Cong, Shuang 2 D’Ariano, Giacomo Mauro 2 Diósi, Lajos 2 Doherty, Andrew C. 2 Dong, Zhiyuan 2 Eastman, Jessica 2 Fagnola, Franco 2 Fawzi, Hamza 2 Fraas, Martin 2 Fradkov, Aleksandr L’vovich 2 Fujii, Jun Ichi 2 Garg, Naman 2 Ge, Shuzhi Sam 2 Genoni, Marco G. 2 Haas, Fernando 2 Kholevo, Aleksandr Semënovich 2 Jacobs, Kurt 2 Jenčová, Anna 2 Jia, Jianfang 2 Leditzky, Felix 2 Loboda, Alexander A. 2 Maalouf, Aline I. 2 Majewski, Wladyslaw Adam 2 Mason, Paolo 2 Miao, Zibo 2 Miszczak, Jaroslaw Adam 2 Pang, Xiaoqiong 2 Parthasarathy, Harish 2 Pechen, Alexander Nikolaevich 2 Qi, Bo 2 Rabitz, Herschel A. 2 Raginsky, Maxim 2 Rouchon, Pierre 2 Saitô, Kimiaki 2 Santis, Ricardo Castro 2 Schlingemann, Dirk-Michael 2 Skalski, Adam G. 2 Staszewska, Grażyna 2 Tsai, Ming Cheng 2 Tyson, Jon E. 2 Upadhyay, Dharmendra Kumar ...and 322 more Authors all top 5 Cited in 94 Serials 41 Journal of Mathematical Physics 23 Quantum Information Processing 22 Automatica 18 Infinite Dimensional Analysis, Quantum Probability and Related Topics 14 Communications in Mathematical Physics 12 Reports on Mathematical Physics 11 Journal of Physics A: Mathematical and Theoretical 10 Journal of Functional Analysis 10 Russian Journal of Mathematical Physics 8 International Journal of Theoretical Physics 8 Physics Letters. A 8 Linear Algebra and its Applications 8 Open Systems & Information Dynamics 6 Journal of the Franklin Institute 6 Reviews in Mathematical Physics 6 SIAM Journal on Control and Optimization 6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Annales Henri Poincaré 5 Letters in Mathematical Physics 5 Mathematical Notes 5 Theoretical and Mathematical Physics 4 Journal of Statistical Physics 4 Systems & Control Letters 4 Probability Theory and Related Fields 4 Stochastic Processes and their Applications 4 New Journal of Physics 3 Journal of Mathematical Analysis and Applications 3 Linear and Multilinear Algebra 3 Physica A 3 Applied Mathematics and Optimization 3 International Journal of Quantum Information 2 Physics Reports 2 The Annals of Statistics 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 MCSS. Mathematics of Control, Signals, and Systems 2 The Annals of Applied Probability 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Mathematical Sciences (New York) 2 Journal of High Energy Physics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Nonlinear Analysis. Hybrid Systems 2 Control Theory and Technology 1 International Journal of Modern Physics B 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Stochastics 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 The Annals of Probability 1 Journal of Multivariate Analysis 1 Nagoya Mathematical Journal 1 Acta Mathematica Hungarica 1 Statistical Science 1 Journal of Theoretical Probability 1 Neural Computation 1 International Journal of Adaptive Control and Signal Processing 1 Journal of Global Optimization 1 Annals of Physics 1 Automation and Remote Control 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 International Journal of Robust and Nonlinear Control 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Annales Mathématiques Blaise Pascal 1 Sbornik: Mathematics 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Doklady Mathematics 1 Fractional Calculus & Applied Analysis 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Physical Review Letters 1 Journal of Modern Optics 1 Differential Equations 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Foundations of Physics 1 Science in China. Series F 1 Stochastics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Complex Analysis and Operator Theory 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Games 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Dynamic Games and Applications 1 Annalen der Physik 1 Quantum Studies: Mathematics and Foundations 1 Nonlinear Analysis. Theory, Methods & Applications 1 Modern Stochastics. Theory and Applications 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 40 Fields 296 Quantum theory (81-XX) 119 Probability theory and stochastic processes (60-XX) 73 Systems theory; control (93-XX) 66 Functional analysis (46-XX) 42 Operator theory (47-XX) 39 Information and communication theory, circuits (94-XX) 37 Statistical mechanics, structure of matter (82-XX) 22 Partial differential equations (35-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Computer science (68-XX) 12 Statistics (62-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 6 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Nonassociative rings and algebras (17-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 3 Associative rings and algebras (16-XX) 3 Real functions (26-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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