Edit Profile Amosov, Grigori G. Compute Distance To: Compute Author ID: amosov.grigori-g Published as: Amosov, G.; Amosov, G. G.; Amosov, Grigori; Amosov, Grigori G. Documents Indexed: 54 Publications since 1997 all top 5 Co-Authors 18 single-authored 9 Man’ko, Vladimir Ivanovich 5 Mancini, Stefano 4 Baranov, Anton D. 4 Mokeev, Aleksandr S. 4 Sakbaev, Vsevolod Zhanovich 3 Bulinskiĭ, Andreĭ Vadimovich 2 Kholevo, Aleksandr Semënovich 2 Korennoy, Ya. A. 2 Shirokov, Maksim Evgen’evich 2 Zhdanovskii, I. Yu. 1 Accardi, Luigi 1 Bukhshtaber, Viktor Matveevich 1 Bulinskiĭ, Aleksandr Vadimovich 1 Chebotarev, Alexandr M. 1 Dnestryan, Andreĭ Igor’evich 1 Filippov, Sergey N. 1 Franz, Uwe 1 Helemskii, Alexander Ya. 1 Ibragimov, Il’dar Abdullovich 1 Kapustin, Vladimir V. 1 Kholmogorov, E. O. 1 Maslov, Viktor Pavlovich 1 Orlov, Yurii N. 1 Schuecker, Peter 1 Shiryaev, Al’bert Nikolaevich 1 Smolyanov, Oleg Georgievich 1 Werner, Reinhard F. all top 5 Serials 7 Mathematical Notes 5 Journal of Mathematical Sciences (New York) 5 Lobachevskii Journal of Mathematics 4 Theoretical and Mathematical Physics 3 Problems of Information Transmission 3 Theory of Probability and its Applications 3 Russian Mathematics 2 Physics Letters. A 2 Journal of Physics A: Mathematical and General 2 St. Petersburg Mathematical Journal 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Physica Scripta 2 Quantum Information Processing 1 Astronomy and Astrophysics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 International Journal of Mathematics and Mathematical Sciences 1 Proceedings of the American Mathematical Society 1 Russian Journal of Mathematical Physics 1 Turkish Journal of Mathematics 1 Fundamental’naya i Prikladnaya Matematika 1 Quantum Information & Computation all top 5 Fields 41 Quantum theory (81-XX) 22 Functional analysis (46-XX) 14 Operator theory (47-XX) 10 Information and communication theory, circuits (94-XX) 9 Probability theory and stochastic processes (60-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 39 Publications have been cited 111 times in 78 Documents Cited by ▼ Year ▼ On the additivity conjecture in quantum information theory. Zbl 0983.81004Amosov, G. G.; Holevo, A. S.; Werner, R. F. 19 2000 Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. Zbl 1077.81060Accardi, Luigi; Amosov, Grigori; Franz, Uwe 13 2004 On Weyl channels being covariant with respect to the maximum commutative group of unitaries. Zbl 1121.81084Amosov, Grigori G. 7 2007 Remark on the additivity conjecture for a quantum depolarizing channel. Zbl 1237.94033Amosov, G. G. 6 2006 The decreasing property of relative entropy and the strong superadditivity of quantum channels. Zbl 1178.81028Amosov, Grigori G.; Mancini, Stefano 5 2009 On general properties of non-commutative operator graphs. Zbl 1394.81030Amosov, G. G. 4 2018 Spectral properties of reduced fermionic density operators and parity superselection rule. Zbl 1373.81099Amosov, Grigori G.; Filippov, Sergey N. 4 2017 On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005Amosov, G. G.; Kholevo, A. S. 4 2002 On non-commutative operator graphs generated by covariant resolutions of identity. Zbl 1402.81067Amosov, G. G.; Mokeev, A. S. 3 2018 On construction of anticliques for noncommutative operator graphs. Zbl 1398.05208Amosov, G. G.; Mokeev, A. S. 3 2018 On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel. Zbl 1334.81021Amosov, G. G. 3 2013 Calculating means of quantum observables in the optical tomography representation. Zbl 1282.81087Amosov, G. G.; Korennoy, Ya. A.; Man’ko, V. I. 3 2012 On cocycle conjugacy of quasifree endomorphism semigroups on the CAR algebra. Zbl 0992.46055Amosov, G. G. 3 2001 Tomographic portrait of quantum channels. Zbl 1402.81101Amosov, G. G.; Mancini, Stefano; Manko, V. I. 2 2018 Geometric properties of systems of vector states and expansion of states in Pettis integrals. Zbl 1358.46057Amosov, G. G.; Sakbaev, V. Zh. 2 2016 Estimating the output entropy of a tensor product of two quantum channels. Zbl 1319.81024Amosov, G. G. 2 2015 Entanglement from operators splitting. Zbl 1182.81023Amosov, Grigori G.; Mancini, Stefano 2 2009 On selfadjoint extensions of the Schrödinger operator with degeneration on a pair of half-lines and the corresponding Markov cocycles. Zbl 1085.81042Amosov, G. G.; Sakbaev, V. Zh. 2 2004 On perturbations of the group of shifts on the line by unitary cocycles. Zbl 1070.47029Amosov, G. G.; Baranov, A. D. 2 2004 Regular semigroups of endomorphisms of von Neumann factors. Zbl 1029.46099Amosov, G. G.; Bulinskiĭ, A. V.; Shirokov, M. E. 2 2001 Cocycle perturbation of quasifree algebraic \(K\)-flow leads to required asymptotic dynamics of associated completely positive semigroup. Zbl 1129.46310Amosov, Grigori G. 2 2000 On linear structure of non-commutative operator graphs. Zbl 1430.81029Amosov, G. G.; Mokeev, Aleksandr S. 1 2019 On tomographic representation on the plane of the space of Schwartz operators and its dual. Zbl 1373.81024Amosov, G. G. 1 2017 Structure of the algebra generated by a noncommutative operator graph which demonstrates the superactivation phenomenon for zero-error capacity. Zbl 1348.81129Amosov, G. G.; Zhdanovskii, I. Yu. 1 2016 On the noncommutative deformation of the operator graph corresponding to the Klein group. Zbl 1342.81022Amosov, G. G.; Zhdanovskiĭ, I. Yu. 1 2016 Reconstruction of a pure state from incomplete information on its optical tomogram. Zbl 1269.81031Amosov, G. G.; Dnestryan, A. I. 1 2013 On analogs of spectral decomposition of a quantum state. Zbl 1269.81008Amosov, G. G.; Sakbaev, V. Zh. 1 2013 Linear and nonlinear liftings of states of quantum systems. Zbl 1264.81066Amosov, G. G.; Sakbaev, V. Zh.; Smolyanov, O. G. 1 2012 A classical limit for the center-of-mass tomogram in view of the central limit theorem. Zbl 1175.81044Amosov, G. G.; Man’ko, V. I. 1 2009 Evolution equation of quantum tomograms for a driven oscillator in the case of the general linear quantization. Zbl 1160.81365Amosov, G. G.; Man’ko, V. I.; Orlov, Yu N. 1 2009 On the information completeness of quantum tomograms. Zbl 1220.81051Amosov, Grigori G.; Mancini, Stefano; Man’ko, Vladimir I. 1 2008 On dilatation of contracting cocycles and perturbations of the group of shifts on the line by cocycles. II. Zbl 1147.47031Amosov, G. G.; Baranov, A. D. 1 2006 Dilations of contraction cocycles and cocycle perturbations of the translation group of the line. Zbl 1147.47030Amosov, G. G.; Baranov, A. D. 1 2006 Tomographic quantum measures for many degrees of freedom and the central limit theorem. Zbl 1060.81063Amosov, G. G.; Man’ko, V. I. 1 2005 On Markovian perturbations of the group of unitary operators associated with a stochastic process with stationary increments. Zbl 1096.47065Amosov, G. G. 1 2004 Stationary quantum stochastic processes from the cohomological point of view. Zbl 1052.46048Amosov, Grigori G. 1 2003 On Markovian cocycle perturbations in classical and quantum probability. Zbl 1032.46075Amosov, G. G. 1 2003 Quantum probability measure for parametric oscillators. Zbl 1098.81732Amosov, G. G.; Man’ko, V. I. 1 2003 Approximation of semigroups of isometries in a Hilbert space. Zbl 0998.47023Amosov, G. G. 1 2000 On linear structure of non-commutative operator graphs. Zbl 1430.81029Amosov, G. G.; Mokeev, Aleksandr S. 1 2019 On general properties of non-commutative operator graphs. Zbl 1394.81030Amosov, G. G. 4 2018 On non-commutative operator graphs generated by covariant resolutions of identity. Zbl 1402.81067Amosov, G. G.; Mokeev, A. S. 3 2018 On construction of anticliques for noncommutative operator graphs. Zbl 1398.05208Amosov, G. G.; Mokeev, A. S. 3 2018 Tomographic portrait of quantum channels. Zbl 1402.81101Amosov, G. G.; Mancini, Stefano; Manko, V. I. 2 2018 Spectral properties of reduced fermionic density operators and parity superselection rule. Zbl 1373.81099Amosov, Grigori G.; Filippov, Sergey N. 4 2017 On tomographic representation on the plane of the space of Schwartz operators and its dual. Zbl 1373.81024Amosov, G. G. 1 2017 Geometric properties of systems of vector states and expansion of states in Pettis integrals. Zbl 1358.46057Amosov, G. G.; Sakbaev, V. Zh. 2 2016 Structure of the algebra generated by a noncommutative operator graph which demonstrates the superactivation phenomenon for zero-error capacity. Zbl 1348.81129Amosov, G. G.; Zhdanovskii, I. Yu. 1 2016 On the noncommutative deformation of the operator graph corresponding to the Klein group. Zbl 1342.81022Amosov, G. G.; Zhdanovskiĭ, I. Yu. 1 2016 Estimating the output entropy of a tensor product of two quantum channels. Zbl 1319.81024Amosov, G. G. 2 2015 On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel. Zbl 1334.81021Amosov, G. G. 3 2013 Reconstruction of a pure state from incomplete information on its optical tomogram. Zbl 1269.81031Amosov, G. G.; Dnestryan, A. I. 1 2013 On analogs of spectral decomposition of a quantum state. Zbl 1269.81008Amosov, G. G.; Sakbaev, V. Zh. 1 2013 Calculating means of quantum observables in the optical tomography representation. Zbl 1282.81087Amosov, G. G.; Korennoy, Ya. A.; Man’ko, V. I. 3 2012 Linear and nonlinear liftings of states of quantum systems. Zbl 1264.81066Amosov, G. G.; Sakbaev, V. Zh.; Smolyanov, O. G. 1 2012 The decreasing property of relative entropy and the strong superadditivity of quantum channels. Zbl 1178.81028Amosov, Grigori G.; Mancini, Stefano 5 2009 Entanglement from operators splitting. Zbl 1182.81023Amosov, Grigori G.; Mancini, Stefano 2 2009 A classical limit for the center-of-mass tomogram in view of the central limit theorem. Zbl 1175.81044Amosov, G. G.; Man’ko, V. I. 1 2009 Evolution equation of quantum tomograms for a driven oscillator in the case of the general linear quantization. Zbl 1160.81365Amosov, G. G.; Man’ko, V. I.; Orlov, Yu N. 1 2009 On the information completeness of quantum tomograms. Zbl 1220.81051Amosov, Grigori G.; Mancini, Stefano; Man’ko, Vladimir I. 1 2008 On Weyl channels being covariant with respect to the maximum commutative group of unitaries. Zbl 1121.81084Amosov, Grigori G. 7 2007 Remark on the additivity conjecture for a quantum depolarizing channel. Zbl 1237.94033Amosov, G. G. 6 2006 On dilatation of contracting cocycles and perturbations of the group of shifts on the line by cocycles. II. Zbl 1147.47031Amosov, G. G.; Baranov, A. D. 1 2006 Dilations of contraction cocycles and cocycle perturbations of the translation group of the line. Zbl 1147.47030Amosov, G. G.; Baranov, A. D. 1 2006 Tomographic quantum measures for many degrees of freedom and the central limit theorem. Zbl 1060.81063Amosov, G. G.; Man’ko, V. I. 1 2005 Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. Zbl 1077.81060Accardi, Luigi; Amosov, Grigori; Franz, Uwe 13 2004 On selfadjoint extensions of the Schrödinger operator with degeneration on a pair of half-lines and the corresponding Markov cocycles. Zbl 1085.81042Amosov, G. G.; Sakbaev, V. Zh. 2 2004 On perturbations of the group of shifts on the line by unitary cocycles. Zbl 1070.47029Amosov, G. G.; Baranov, A. D. 2 2004 On Markovian perturbations of the group of unitary operators associated with a stochastic process with stationary increments. Zbl 1096.47065Amosov, G. G. 1 2004 Stationary quantum stochastic processes from the cohomological point of view. Zbl 1052.46048Amosov, Grigori G. 1 2003 On Markovian cocycle perturbations in classical and quantum probability. Zbl 1032.46075Amosov, G. G. 1 2003 Quantum probability measure for parametric oscillators. Zbl 1098.81732Amosov, G. G.; Man’ko, V. I. 1 2003 On the multiplicativity hypothesis for quantum communication channels. Zbl 1040.81005Amosov, G. G.; Kholevo, A. S. 4 2002 On cocycle conjugacy of quasifree endomorphism semigroups on the CAR algebra. Zbl 0992.46055Amosov, G. G. 3 2001 Regular semigroups of endomorphisms of von Neumann factors. Zbl 1029.46099Amosov, G. G.; Bulinskiĭ, A. V.; Shirokov, M. E. 2 2001 On the additivity conjecture in quantum information theory. Zbl 0983.81004Amosov, G. G.; Holevo, A. S.; Werner, R. F. 19 2000 Cocycle perturbation of quasifree algebraic \(K\)-flow leads to required asymptotic dynamics of associated completely positive semigroup. Zbl 1129.46310Amosov, Grigori G. 2 2000 Approximation of semigroups of isometries in a Hilbert space. Zbl 0998.47023Amosov, G. G. 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 77 Authors 15 Amosov, Grigori G. 10 Accardi, Luigi 6 Dhahri, Ameur 6 King, Christopher K. 6 Man’ko, Vladimir Ivanovich 6 Sakbaev, Vsevolod Zhanovich 5 Fukuda, Motohisa 4 Rebeï, Habib 4 Ruskai, Mary Beth 3 Filippov, Sergey N. 3 Junge, Marius 3 Kozyrev, Sergeĭ Vladimirovich 3 Mokeev, Aleksandr S. 3 Volovich, Igor’ Vasil’evich 3 Winter, Andreas 2 Audenaert, Koenraad M. R. 2 Avanesov, A. S. 2 Baranov, Anton D. 2 Boukas, Andreas 2 Dnestryan, Andreĭ Igor’evich 2 Kholevo, Aleksandr Semënovich 2 Korennoy, Ya. A. 2 Orlov, Yurii N. 2 Ouerdiane, Habib 2 Palazuelos, Carlos 2 Shirokov, Maksim Evgen’evich 2 Szarek, Stanislaw Jerzy 2 Teretenkov, Alexander E. 2 Werner, Elisabeth M. 1 Andreev, Vladimir A. 1 Aubrun, Guillaume 1 Barhoumi, Abdessatar 1 Bikram, Panchugopal 1 Borisov, Leonid Andreevich 1 Chruściński, Dariusz 1 Datta, Nilanjana 1 Devetak, Igor 1 Dudinets, Ivan V. 1 Fukuda, Mituhiro 1 Giovannetti, Vittorio 1 Glinov, A. N. 1 Gour, Gilad 1 Grekhneva, A. D. 1 Hayden, Patrick M. 1 Kapustin, Vladimir V. 1 Karumanchi, Siddharth 1 Kemp, Todd A. 1 Koldan, Nilufer 1 Lebedev, Andreĭ Vladimirovich 1 Leppäjärvi, L. 1 Lesovik, Gordey B. 1 Lloyd, Seth 1 Mancini, Stefano 1 Man’ko, Olga V. 1 Margetts, Oliver T. 1 Mironov, A. A. 1 Montanaro, Ashley 1 Moser, David K. 1 Mukhamedov, Farruh Maksutovich 1 Nathanson, Michael H. 1 Nechita, Ion 1 Notes, Uwe Franzshort 1 Parcet, Javier 1 Perrin, Mathilde 1 Roschin, R. 1 Sakbaev, V. J. 1 Sergeev, Ivan 1 Shchukin, E. V. 1 Siudzińska, Katarzyna 1 Smolyanov, Oleg Georgievich 1 Srinivasan, Ramachandra 1 Sunder, Viakalathur S. 1 Taouil, Hajer 1 Watanabe, Noboru 1 Wilde, Mark M. 1 Yang, Dong 1 Yang, Dongwong all top 5 Cited in 31 Serials 11 Journal of Mathematical Physics 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Lobachevskii Journal of Mathematics 5 Communications in Mathematical Physics 5 Journal of Mathematical Sciences (New York) 5 Quantum Information Processing 4 International Journal of Theoretical Physics 4 Linear Algebra and its Applications 3 Problems of Information Transmission 2 Theoretical and Mathematical Physics 2 St. Petersburg Mathematical Journal 2 Proceedings of the Steklov Institute of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Computational Mathematics and Mathematical Physics 1 Russian Mathematics 1 Annales Mathématiques Blaise Pascal 1 Turkish Journal of Mathematics 1 Random Operators and Stochastic Equations 1 Izvestiya: Mathematics 1 Annales Henri Poincaré 1 Journal of Physics A: Mathematical and Theoretical 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Physical Review A, Third Series 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Kyoto Journal of Mathematics all top 5 Cited in 16 Fields 65 Quantum theory (81-XX) 23 Functional analysis (46-XX) 22 Information and communication theory, circuits (94-XX) 18 Operator theory (47-XX) 10 Probability theory and stochastic processes (60-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Partial differential equations (35-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Citations by Year