Edit Profile Pechen, Alexander Nikolaevich Compute Distance To: Compute Author ID: pechen.alexander-nikolaevich Published as: Pechen, A. N.; Pechen, Alexander; Pechen’, A. N.; Pechen, Alexander N.; Pechen, A. External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru Documents Indexed: 39 Publications since 2002 all top 5 Co-Authors 8 single-authored 8 Il’in, Nikolaĭ Borisovich 6 Morzhin, Oleg Vasil’evich 6 Rabitz, Herschel A. 3 Accardi, Luigi 3 Lyakhov, K. A. 3 Volovich, Igor’ Vasil’evich 2 Wu, Rebing 1 Avanesov, A. S. 1 Beltrani, Vincent 1 Brif, Constantin 1 Dominy, Jason M. 1 Fel’dman, Eduard Ben’yaminovich 1 Hsieh, Michael 1 Il’yn, N. B. 1 Kozyrev, Sergeĭ Vladimirovich 1 Kronberg, D. A. 1 Mokeev, Aleksandr S. 1 Moore, Katharine 1 Oza, Anand U. 1 Prokhorenko, Dmitrij Vladimirovich 1 Tsou, Benjamin 1 Wu, Rong 1 Zenchuk, Alexandre I. all top 5 Serials 6 Proceedings of the Steklov Institute of Mathematics 5 Journal of Mathematical Sciences (New York) 5 Lobachevskii Journal of Mathematics 4 Russian Mathematical Surveys 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Mathematical Physics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 International Journal of Theoretical Physics 1 Mathematical Notes 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Journal of Physics A: Mathematical and General 1 Izvestiya: Mathematics all top 5 Fields 33 Quantum theory (81-XX) 11 Statistical mechanics, structure of matter (82-XX) 6 Systems theory; control (93-XX) 5 Optics, electromagnetic theory (78-XX) 4 Computer science (68-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 138 times in 59 Documents Cited by ▼ Year ▼ Controllability of open quantum systems with Kraus-map dynamics. Zbl 1113.81013Wu, Rong; Pechen, Alexander; Brif, Constantin; Rabitz, Herschel 11 2007 Existence of traps in the problem of maximizing quantum observable averages for a qubit at short times. Zbl 1337.81039Pechen, A. N.; Il’in, N. B. 11 2015 Quantum multiple noise and generalized quantum stochastic equations. Zbl 1051.81019Pechen, A. N.; Volovich, I. V. 9 2002 Control landscapes for observable preparation with open quantum systems. Zbl 1153.81449Wu, Rebing; Pechen, Alexander; Rabitz, Herschel; Hsieh, Michael; Tsou, Benjamin 9 2008 Coherent control of a qubit is trap-free. Zbl 1304.81095Pechen, A. N.; Il’in, N. B. 8 2014 Quantum stochastic equation for the low density limit. Zbl 1052.81055Accardi, L.; Pechen, A. N.; Volovich, I. V. 8 2002 On the problem of maximizing the transition probability in an \(n\)-level quantum system using nonselective measurements. Zbl 1358.81016Pechen, Alexander N.; Il’in, Nikolay B. 8 2016 Incoherent control of open quantum systems. Zbl 1306.93015Pechen, A.; Rabitz, H. 7 2014 On critical points of the objective functional for maximization of qubit observables. Zbl 1331.81133Pechen, A. N.; Il’in, N. B. 7 2015 Coherent quantum control of \(\Lambda\)-atoms through the stochastic limit. Zbl 1152.81665Accardi, L.; Kozyrev, S. V.; Pechen, A. N. 7 2006 A stochastic golden rule and quantum Langevin equation for the low density limit. Zbl 1053.82019Accardi, L.; Pechen, A. N.; Volovich, I. V. 6 2003 On the speed gradient method for generating unitary quantum operations for closed quantum systems. Zbl 1349.81107Pechen, A. N. 6 2016 Active beam splitting attack applied to differential phase shift quantum key distribution protocol. Zbl 1420.81008Avanesov, A. S.; Kronberg, D. A.; Pechen, A. N. 5 2018 Maximization of the overlap between density matrices for a two-level open quantum system driven by coherent and incoherent controls. Zbl 1430.81036Morzhin, Oleg. V.; Pechen, A. N. 5 2019 Quantum stochastic equation for a test particle interacting with a dilute Bose gas. Zbl 1070.82020Pechen, A. N. 4 2004 Control landscapes for two-level open quantum systems. Zbl 1134.81340Pechen, Alexander; Prokhorenko, Dmitrii; Wu, Rebing; Rabitz, Herschel 4 2008 Control landscape for ultrafast manipulation by a qubit. Zbl 1360.81115Pechen, Alexander; Il’in, Nikolay 4 2017 On an asymptotic expansion in quantum theory. Zbl 1138.81462Pechen’, A. N. 3 2004 Krotov method for optimal control of closed quantum systems. Zbl 1435.81085Morzhin, O. V.; Pechen, A. N. 3 2019 Machine learning for finding suboptimal final times and coherent and incoherent controls for an open two-level quantum system. Zbl 07309036Morzhin, O. V.; Pechen, A. N. 3 2020 Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution. Zbl 1165.81316Oza, Anand; Pechen, Alexander; Dominy, Jason; Beltrani, Vincent; Moore, Katharine; Rabitz, Herschel 2 2009 On extrema of the objective functional for short-time generation of single-qubit quantum gates. Zbl 1359.81086Pechen, Alexander N.; Il’in, Nikolay B. 2 2016 The multitime correlation functions, free white noise, and the generalized Poisson statistics in the low density limit. Zbl 1111.82030Pechen, A. N. 1 2006 Conditions for the absence of local extrema in problems of quantum coherent control. Zbl 1405.81040Il’in, N. B.; Pechen, A. N. 1 2018 Critical point in the problem of maximizing the transition probability using measurements in an \(n\)-level quantum system. Zbl 1398.81138Il’in, N. B.; Pechen, A. N. 1 2018 Minimal time generation of density matrices for a two-level quantum system driven by coherent and incoherent controls. Zbl 07420776Morzhin, Oleg V.; Pechen, Alexander N. 1 2021 Constrained optimization criterion for zirconium isotope separation by the method of laser-assisted retardation of condensation. Zbl 1470.76090Lyakhov, K. A.; Pechen, A. N. 1 2021 On reachable and controllability sets for minimum-time control of an open two-level quantum system. Zbl 1469.93005Morzhin, Oleg V.; Pechen, Alexander N. 1 2021 Minimal time generation of density matrices for a two-level quantum system driven by coherent and incoherent controls. Zbl 07420776Morzhin, Oleg V.; Pechen, Alexander N. 1 2021 Constrained optimization criterion for zirconium isotope separation by the method of laser-assisted retardation of condensation. Zbl 1470.76090Lyakhov, K. A.; Pechen, A. N. 1 2021 On reachable and controllability sets for minimum-time control of an open two-level quantum system. Zbl 1469.93005Morzhin, Oleg V.; Pechen, Alexander N. 1 2021 Machine learning for finding suboptimal final times and coherent and incoherent controls for an open two-level quantum system. Zbl 07309036Morzhin, O. V.; Pechen, A. N. 3 2020 Maximization of the overlap between density matrices for a two-level open quantum system driven by coherent and incoherent controls. Zbl 1430.81036Morzhin, Oleg. V.; Pechen, A. N. 5 2019 Krotov method for optimal control of closed quantum systems. Zbl 1435.81085Morzhin, O. V.; Pechen, A. N. 3 2019 Active beam splitting attack applied to differential phase shift quantum key distribution protocol. Zbl 1420.81008Avanesov, A. S.; Kronberg, D. A.; Pechen, A. N. 5 2018 Conditions for the absence of local extrema in problems of quantum coherent control. Zbl 1405.81040Il’in, N. B.; Pechen, A. N. 1 2018 Critical point in the problem of maximizing the transition probability using measurements in an \(n\)-level quantum system. Zbl 1398.81138Il’in, N. B.; Pechen, A. N. 1 2018 Control landscape for ultrafast manipulation by a qubit. Zbl 1360.81115Pechen, Alexander; Il’in, Nikolay 4 2017 On the problem of maximizing the transition probability in an \(n\)-level quantum system using nonselective measurements. Zbl 1358.81016Pechen, Alexander N.; Il’in, Nikolay B. 8 2016 On the speed gradient method for generating unitary quantum operations for closed quantum systems. Zbl 1349.81107Pechen, A. N. 6 2016 On extrema of the objective functional for short-time generation of single-qubit quantum gates. Zbl 1359.81086Pechen, Alexander N.; Il’in, Nikolay B. 2 2016 Existence of traps in the problem of maximizing quantum observable averages for a qubit at short times. Zbl 1337.81039Pechen, A. N.; Il’in, N. B. 11 2015 On critical points of the objective functional for maximization of qubit observables. Zbl 1331.81133Pechen, A. N.; Il’in, N. B. 7 2015 Coherent control of a qubit is trap-free. Zbl 1304.81095Pechen, A. N.; Il’in, N. B. 8 2014 Incoherent control of open quantum systems. Zbl 1306.93015Pechen, A.; Rabitz, H. 7 2014 Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution. Zbl 1165.81316Oza, Anand; Pechen, Alexander; Dominy, Jason; Beltrani, Vincent; Moore, Katharine; Rabitz, Herschel 2 2009 Control landscapes for observable preparation with open quantum systems. Zbl 1153.81449Wu, Rebing; Pechen, Alexander; Rabitz, Herschel; Hsieh, Michael; Tsou, Benjamin 9 2008 Control landscapes for two-level open quantum systems. Zbl 1134.81340Pechen, Alexander; Prokhorenko, Dmitrii; Wu, Rebing; Rabitz, Herschel 4 2008 Controllability of open quantum systems with Kraus-map dynamics. Zbl 1113.81013Wu, Rong; Pechen, Alexander; Brif, Constantin; Rabitz, Herschel 11 2007 Coherent quantum control of \(\Lambda\)-atoms through the stochastic limit. Zbl 1152.81665Accardi, L.; Kozyrev, S. V.; Pechen, A. N. 7 2006 The multitime correlation functions, free white noise, and the generalized Poisson statistics in the low density limit. Zbl 1111.82030Pechen, A. N. 1 2006 Quantum stochastic equation for a test particle interacting with a dilute Bose gas. Zbl 1070.82020Pechen, A. N. 4 2004 On an asymptotic expansion in quantum theory. Zbl 1138.81462Pechen’, A. N. 3 2004 A stochastic golden rule and quantum Langevin equation for the low density limit. Zbl 1053.82019Accardi, L.; Pechen, A. N.; Volovich, I. V. 6 2003 Quantum multiple noise and generalized quantum stochastic equations. Zbl 1051.81019Pechen, A. N.; Volovich, I. V. 9 2002 Quantum stochastic equation for the low density limit. Zbl 1052.81055Accardi, L.; Pechen, A. N.; Volovich, I. V. 8 2002 all cited Publications top 5 cited Publications all top 5 Cited by 60 Authors 14 Pechen, Alexander Nikolaevich 8 Il’in, Nikolaĭ Borisovich 8 Volovich, Igor’ Vasil’evich 6 Kozyrev, Sergeĭ Vladimirovich 6 Morzhin, Oleg Vasil’evich 6 Rabitz, Herschel A. 4 Teretenkov, Alexander E. 4 Trushechkin, Anton Sergeevich 3 Accardi, Luigi 2 Mukhamedov, Farruh Maksutovich 2 Russell, Benjamin 2 Sakbaev, Vsevolod Zhanovich 2 Wu, Rebing 1 Akin, Hasan 1 Albertini, Francesca 1 Bonnard, Bernard 1 Borzì, Alfio 1 Brif, Constantin 1 Chakrabarti, Raj 1 Chen, Mengxi 1 Chen, Xin 1 Cong, Shuang 1 De Roeck, Wojciech 1 Dereziński, Jan 1 Dhahri, Ameur 1 Dragovich, Branko 1 Duvenhage, Rocco 1 Efremova, Lyudmila S. 1 Fel’dman, Eduard Ben’yaminovich 1 Fidaleo, Francesco 1 Filippov, Sergey N. 1 Ge, Yunjian 1 Glinov, A. N. 1 Hsieh, Michael 1 Il’yn, N. B. 1 Karmanova, Maria B. 1 Katanaev, Mikhaĭl Orinovich 1 Khrennikov, Andreĭ Yur’evich 1 Kirillov, A. I. 1 Kozlov, Valeriĭ Vasil’evich 1 Kuang, Sen 1 Leppäjärvi, L. 1 Mironov, A. A. 1 Murtagh, Fionn D. 1 Ohya, Masanori 1 Pechen’, Aleksandr Nikolaevich 1 Polyachenko, E. V. 1 Prokhorenko, Dmitrij Vladimirovich 1 Shcherbakova, Nataliya 1 Shi, Junhui 1 Shuang, Feng 1 Sugny, Dominique 1 Ticozzi, Francesco 1 Tsou, Benjamin 1 Varadarajan, Veeravalli S. 1 Vladimirov, Vasiliĭ Sergeevich 1 Vuglar, Shanon L. 1 Wang, Yaoxiong 1 Zenchuk, Alexandre I. 1 Zharinov, Victor Victorovich all top 5 Cited in 25 Serials 14 Proceedings of the Steklov Institute of Mathematics 6 Lobachevskii Journal of Mathematics 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Theoretical and Mathematical Physics 3 Journal of Mathematical Physics 3 Journal of Mathematical Sciences (New York) 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Russian Mathematical Surveys 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Automatica 1 Siberian Mathematical Journal 1 Izvestiya: Mathematics 1 Journal of Mathematical Chemistry 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Open Systems & Information Dynamics 1 New Journal of Physics 1 Foundations of Physics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 24 Fields 49 Quantum theory (81-XX) 15 Statistical mechanics, structure of matter (82-XX) 9 Systems theory; control (93-XX) 8 Partial differential equations (35-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 4 Optics, electromagnetic theory (78-XX) 3 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-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. Updates and corrections should be made in Wikidata.