Edit Profile Man’ko, Vladimir Ivanovich Compute Distance To: Compute Author ID: manko.vladimir-i Published as: Man‘ko, V. I.; Man’Ko, V. I.; Man’Ko, Vladimir I.; Man’ko, V. I.; Man’ko, Vladimir; Man’ko, Vladimir I.; Manko, V. I.; Manko, Vladimir I. Homepage: https://sites.google.com/site/vimankoqtip/home External Links: Math-Net.Ru · ORCID · dblp · GND Documents Indexed: 191 Publications since 1981, including 4 Books all top 5 Co-Authors 9 single-authored 51 Marmo, Giuseppe 26 Man’ko, Margarita A. 19 Ventriglia, Franco 16 Zaccaria, Francesco 15 Dodonov, Victor V. 15 Sudarshan, E. C. George 14 Man’ko, Olga V. 13 Simoni, Alberto 11 Markovich, Liubov A. 10 Castaños, Octavio 10 López-Peña, Ramón 9 Amosov, Grigori G. 8 Ibort, Alberto 7 Andreev, Vladimir A. 7 Chumakov, Sergey M. 7 Fedele, Renato 7 Mancini, Stefano 7 Stornaiolo, Cosimo 6 Vilelamendes, R. 6 Vitale, Patrizia 5 Chernega, Vladimir N. 5 De Nicola, Sergio 5 Korennoy, Ya. A. 5 Leznov, Andreĭ Nikolaevich 4 Gromov, Nikolai A. 3 Avanesov, A. S. 3 Facchi, Paolo 3 Filippov, Sergey N. 3 Lupo, Coralie 3 Messina, Antonino 3 Strakhov, Alexey A. 3 Tombesi, Paolo 2 Adam, Peter 2 Andreev, Vlad A. 2 Aniello, Paolo 2 Arkhipov, A. S. 2 Asorey, Manuel 2 Capozziello, Salvatore 2 Davidović, L. D. 2 Davidović, Miloš D. 2 Figueroa, Armando 2 Lozovik, Yurii E. 2 Markov, Moiseĭ Aleksandrovich 2 Mendes, Rui Vilela 2 Pascazio, Saverio 2 Safonov, S. S. 2 Sharapov, V. A. 2 Shchukin, E. V. 2 Skarzhinsky, Vladimir D. 2 Solimeno, S. 2 Trifonov, Dimitar A. 2 Wolf, Kurt Bernardo 2 Wünsche, Alfred 1 Adenier, Guillaume 1 Ansari, Nadeem A. 1 Basov, Nikolaĭ Gennadievich 1 Caponigro, Marco 1 Chruściński, Dariusz 1 Ciaglia, Florio Maria 1 Davidović, Dragomir M. 1 Davidović, Milena D. 1 Di Cosmo, Fabio 1 Doebner, Heinz-Dietrich 1 Dremin, I. M. 1 Dudinets, Ivan V. 1 Fedorov, Alekseĭ Konstantinovich 1 Florio, Giuseppe 1 Haake, Fritz 1 Hacyan, Shahen 1 Isar, Alexandru 1 Isar, Aurelian 1 Jovanović, Dušan 1 Kalmykov, S. Yu. 1 Khrennikov, Andreĭ Yur’evich 1 Kiktenko, Evgeniy O. 1 Klimov, Andrei B. 1 Krämer, Patrick 1 Kramer, Tobias 1 Kulkarni, Ravi 1 Lahti, Pekka Johannes 1 Leggio, Bruno 1 Leyvraz, Francois 1 López-Yela, Alberto 1 López, Julio E. 1 Malomed, Boris A. 1 Militello, Benedetto 1 Nicola, Selma H. J. 1 Nieuwenhuizen, Theo M. 1 Orlov, Yurii N. 1 Polynkin, P. G. 1 Porzio, Anna 1 Rosa, Luigi 1 Sadovnikov, B. I. 1 Scherer, William N. III 1 Schiavone, Luca 1 Seilov, Z. 1 Seligman, Thomas H. 1 Shaji, Anil 1 Shtern, Aleksandr Isaakovich 1 Shukla, Padma Kant ...and 5 more Co-Authors all top 5 Serials 38 Physics Letters. A 20 Physica Scripta 17 Journal of Physics A: Mathematical and General 16 Theoretical and Mathematical Physics 8 International Journal of Theoretical Physics 8 Journal of Physics A: Mathematical and Theoretical 6 Journal of Mathematical Physics 5 Reports on Mathematical Physics 4 General Relativity and Gravitation 4 International Journal of Quantum Information 2 Modern Physics Letters A 2 International Journal of Modern Physics A 2 Letters in Mathematical Physics 2 Hadronic Journal 2 Fortschritte der Physik 2 Open Systems & Information Dynamics 2 Lobachevskii Journal of Mathematics 2 Journal of Modern Optics 2 Foundations of Physics 2 Advances in Mathematical Physics 1 IEEE Transactions on Information Theory 1 Moscow University Physics Bulletin 1 Physica A 1 Journal of Soviet Mathematics 1 Rendiconti del Seminario Matematico 1 Physica D 1 Annals of Physics 1 Annalen der Physik. 8th Series 1 Russian Physics Journal 1 Entropy 1 International Journal of Geometric Methods in Modern Physics 1 Lecture Notes in Physics 1 AIP Conference Proceedings 1 The European Physical Journal B. Condensed Matter and Complex Systems all top 5 Fields 165 Quantum theory (81-XX) 15 Topological groups, Lie groups (22-XX) 14 Information and communication theory, circuits (94-XX) 13 Differential geometry (53-XX) 11 Partial differential equations (35-XX) 10 Mechanics of particles and systems (70-XX) 9 Nonassociative rings and algebras (17-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Optics, electromagnetic theory (78-XX) 7 Relativity and gravitational theory (83-XX) 6 Special functions (33-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Probability theory and stochastic processes (60-XX) 5 Integral transforms, operational calculus (44-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 Group theory and generalizations (20-XX) 4 Ordinary differential equations (34-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Biology and other natural sciences (92-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 114 Publications have been cited 453 times in 253 Documents Cited by ▼ Year ▼ Symplectic tomography as classical approach to quantum systems. Zbl 1073.81629Mancini, S.; Man’ko, V. I.; Tombesi, P. 36 1996 An introduction to the tomographic picture of quantum mechanics. Zbl 1170.81007Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 33 2009 A generalization of the Jordan-Schwinger map: The classical version and its \(q\) deformation. Zbl 0988.17500Man’ko, V. I.; Marmo, G.; Vitale, P.; Zaccaria, F. 19 1994 Physical nonlinear aspects of classical and quantum \(q\)-oscillators. Zbl 0984.81508Man’ko, V. I.; Marmo, G.; Solimeno, S.; Zaccaria, F. 18 1993 Positive distribution description for spin states. Zbl 1072.81531Dodonov, V. V.; Man’ko, V. I. 17 1997 Alternative commutation relations, star products and tomography. Zbl 1041.81080Man’ko, Olga V.; Man’ko, V. I.; Marmo, G. 16 2002 Classical and quantum Fisher information in the geometrical formulation of quantum mechanics. Zbl 1238.81013Facchi, Paolo; Kulkarni, Ravi; Man’ko, V. I.; Marmo, Giuseppe; Sudarshan, E. C. G.; Ventriglia, Franco 15 2010 Differential geometry of density states. Zbl 1138.81336Man’ko, V. I.; Marmo, G.; Zaccaria, F.; Sudarshan, E. C. G. 12 2005 Tomograms and other transforms: A unified view. Zbl 0999.44002Man’ko, M. A.; Man’ko, V. I.; Mendes, R. Vilela 12 2001 Star products, duality and double Lie algebras. Zbl 1236.81140Man’ko, Olga V.; Man’ko, Vladimir I.; Marmo, Giuseppe; Vitale, Patrizia 9 2006 Phase space distributions and a duality symmetry for star products. Zbl 1123.53302Man’ko, V. I.; Marmo, G.; Vitale, P. 9 2005 Lyapunov exponent in quantum mechanics. A phase-space approach. Zbl 0982.81029Man’ko, V. I.; Vilela Mendes, R. 9 2000 Noncommutative time-frequency tomography. Zbl 1044.81817Man’ko, V. I.; Vilela Mendes, R. 9 1999 Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits. Zbl 1349.81071Kiktenko, E. O.; Fedorov, A. K.; Strakhov, A. A.; Man’ko, V. I. 8 2015 The Pauli equation for probability distributions. Zbl 0980.81032Mancini, S.; Man’ko, O. V.; Man’ko, V. I.; Tombesi, P. 8 2001 Universal invariants of quantum systems and generalized uncertainty principles. Zbl 0603.35074Dodonov, V. V.; Man’ko, V. I. 8 1983 Hilbert-Schmidt distance and non-classicality of states in quantum optics. Zbl 0941.81069Dodonov, V. V.; Man’ko, O. V.; Man’ko, V. I.; Wünsche, A. 7 2000 The Jordan-Schwinger representations of Cayley-Klein groups. I: The orthogonal groups. Zbl 0701.22009Gromov, N. A.; Man’ko, V. I. 7 1990 Homodyne estimation of quantum state purity by exploiting the covariant uncertainty relation. Zbl 1222.81144Man’ko, V. I.; Marmo, G.; Porzio, A.; Solimeno, S.; Ventriglia, F. 6 2011 Partial positive scaling transform: a separability criterion. Zbl 1137.81308Man’ko, Olga V.; Man’ko, V. I.; Marmo, G.; Shaji, Anil; Sudarshan, E. C. G.; Zaccaria, F. 6 2005 Contractions of the irreducible representations of the quantum algebras su\(_ q(2)\) and so\(_ q(3)\). Zbl 0767.17008Gromov, N. A.; Man’ko, V. I. 6 1992 A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms. Zbl 1274.81152Andreev, V. A.; Davidović, D. M.; Davidović, L. D.; Davidović, M. D.; Man’ko, V. I.; Man’ko, M. A. 5 2011 On the tomographic picture of quantum mechanics. Zbl 1237.81043Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 5 2010 Positive maps of density matrix and a tomographic criterion of entanglement. Zbl 1138.81335Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 5 2004 Quantum computation by quantumlike systems. Zbl 0970.81006Man’ko, M. A.; Man’ko, V. I.; Vilela Mendes, R. 5 2001 New relations for two-dimensional Hermite polynomials. Zbl 0815.33004Dodonov, V. V.; Man’ko, V. I. 5 1994 Metric on the space of quantum states from relative entropy. Tomographic reconstruction. Zbl 1373.81041Man’ko, Vladimir I.; Marmo, Giuseppe; Ventriglia, Franco; Vitale, Patrizia 4 2017 Evolution equation for a joint tomographic probability distribution of spin-1 particles. Zbl 1358.81070Korennoy, Ya. A.; Man’ko, V. I. 4 2016 A generalized Wigner function on the space of irreducible representations of the Weyl-Heisenberg group and its transformation properties. Zbl 1161.81393Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 4 2009 Does the uncertainty relation determine the quantum state? Zbl 1236.81023Man’ko, Olga V.; Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 4 2006 Tomography in abstract Hilbert spaces. Zbl 1101.81032Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 4 2006 Radon transform of the Wheeler-De Witt equation and tomography of quantum states of the universe. Zbl 1065.83023Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 4 2005 Bell’s inequality for two-particle mixed spin states. Zbl 1178.81008Andreev, V. A.; Man’ko, V. I. 4 2004 Experimental limit on the blue shift of the frequency of light implied by a \(q\)-nonlinearity. Zbl 1020.81987Man’ko, V. I.; Tino, G. M. 4 1995 Calculating means of quantum observables in the optical tomography representation. Zbl 1282.81087Amosov, G. G.; Korennoy, Ya. A.; Man’ko, V. I. 3 2012 A pedagogical presentation of a \(C^\ast\)-algebraic approach to quantum tomography. Zbl 1263.81103Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 3 2011 Probability description and entropy of classical and quantum systems. Zbl 1211.81010Man’ko, Margarita A.; Man’ko, Vladimir I. 3 2011 Semigroup of positive maps for qudit states and entanglement in tomographic probability representation. Zbl 1225.81033Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 3 2008 A tomographic setting for quasi-distribution functions. Zbl 1252.81038Man’ko, V. I.; Marmo, G.; Simoni, A.; Sudarshan, E. C. G.; Ventriglia, F. 3 2008 1D stability analysis of filtering and controlling the solitons in Bose-Einstein condensates. Zbl 1189.35268De Nicola, S.; Fedele, R.; Jovanovic, D.; Malomed, B.; Man’ko, M. A.; Man’ko, V. I.; Shukla, P. K. 3 2006 Tomograms in the quantum-classical transition. Zbl 1194.81043Man’ko, V. I.; Marmo, G.; Simoni, A.; Stern, A.; Ventriglia, F. 3 2005 Cosmological dynamics in tomographic probability representation. Zbl 1093.83051Man‘ko, V. I.; Marmo, G.; Stornaiolo, C. 3 2005 Inner composition law of pure states as a purification of impure states. Zbl 1115.81311Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 3 2000 On the nonlinearity interpretation of \(q\)- and \(f\)-deformation and some applications. Zbl 0954.81034Man’ko, V. I.; Vilela Mendes, R. 3 1998 Generalized reduction procedure and nonlinear nonstationary dynamical systems. Zbl 1020.34505Man’ko, V. I.; Marmo, G. 3 1992 The Jordan-Schwinger representations of Cayley-Klein groups. II: The unitary groups. Zbl 0701.22010Gromov, N. A.; Man’ko, V. I. 3 1990 Correlation functions of the nonstationary quantum singular oscillator. Zbl 0626.58034Chumakov, S. M.; Dodonov, V. V.; Man’ko, V. I. 3 1986 Tomographic portrait of quantum channels. Zbl 1402.81101Amosov, G. G.; Mancini, Stefano; Manko, V. I. 2 2018 Center-of-mass tomography and Wigner function for multimode photon states. Zbl 1394.81183Dudinets, Ivan V.; Man’ko, Vladimir I. 2 2018 Star product, discrete Wigner functions, and spin-system tomograms. Zbl 1338.81250Adam, Peter; Andreev, Vlad A.; Isar, A.; Man’ko, V. I.; Man’ko, M. A. 2 2016 Entanglement and other quantum correlations of a single qudit state. Zbl 1309.81035Man’ko, Margarita A.; Man’ko, Vladimir I. 2 2014 Operator method for calculating \(Q\) symbols and their relation to Weyl-Wigner symbols and symplectic tomogram symbols. Zbl 1308.81128Andreev, V. A.; Davidović, L. D.; Davidović, Milena D.; Davidović, Miloš D.; Manko, V. I.; Manko, M. A. 2 2014 Groupoids and the tomographic picture of quantum mechanics. Zbl 1279.81055Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Stornaiolo, C.; Ventriglia, F. 2 2013 On the tomographic description of classical fields. Zbl 1260.81041Ibort, A.; López-Yela, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Sudarshan, E. C. G.; Ventriglia, F. 2 2012 f-oscillators deformation for Moyal algebras. Zbl 1221.81109Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 2 2008 New inequalities for tomograms in the probability representation of quantum states. Zbl 1134.81330De Nicola, S.; Fedele, R.; Man’ko, M. A.; Man’ko, V. I. 2 2007 Qubit portraits of qudit states and quantum correlations. Zbl 1124.81009Lupo, C.; Man’ko, V. I.; Marmo, G. 2 2007 On the meaning and interpretation of tomography in abstract Hilbert spaces. Zbl 1234.81029Man’ko, V. I.; Marmo, G.; Simoni, A.; Stern, A.; Sudarshan, E. C. G.; Ventriglia, F. 2 2006 Tomography of spin states, the entanglement criterion, and Bell’s inequalities. Zbl 1177.81017Andreev, V. A.; Man’ko, V. I.; Man’ko, O. V.; Shchukin, E. V. 2 2006 Center of mass tomography for reconstructing quantum states of multipartite systems. Zbl 1134.81435Arkhipov, A. S.; Lozovik, Yu. E.; Man’ko, V. I. 2 2004 Tomographic representation of spin and quark states. Zbl 1066.81558Klimov, A. B.; Man’ko, Olga V.; Man’ko, V. I.; Smirnov, Yu. F.; Tolstoy, V. N. 2 2002 The classification of two-particle spin states and generalized Bell inequalities. Zbl 0984.81013Andreev, V. A.; Man’ko, V. I. 2 2001 Energy-sensitive and “classical-like” distances between quantum states. Zbl 1063.81561Dodonov, V. V.; Man’ko, O. V.; Man’ko, V. I.; Wünsche, A. 2 1999 Time-dependent squeezing and photon anti-bunching in squeezed even and odd coherent states. Zbl 1037.81642Ansari, Nadeem A.; Man’ko, V. I. 2 1996 Deformations and nonlinear systems. Zbl 0904.35073Man’ko, V. I.; Marmo, G.; Zaccaria, F. 2 1996 Noether’s theorem and time-dependent quantum invariants. Zbl 0846.70014Castaños, O.; López-Peña, R.; Man’ko, V. I. 2 1994 Ordinary second-order differential equations and soliton solutions connected with the algebra sl(2,\({\mathbb{C}})\). Zbl 0598.34026Leznov, A. N.; Man’ko, V. I.; Chumakov, S. M. 2 1984 Unnormalized tomograms and quasidistributions of quantum states. Zbl 1411.81054Man’ko, V. I.; Markovich, L. A. 1 2018 Separability and entanglement in the Hilbert space reference frames related through the generic unitary transform for four level system. Zbl 1391.81034Man’ko, V. I.; Markovich, L. A. 1 2018 Observables, evolution equation, and stationary states equation in the joint probability representation of quantum mechanics. Zbl 1390.81033Korennoy, Ya. A.; Man’ko, V. I. 1 2017 Gauge transformation of quantum states in probability representation. Zbl 1364.81075Korennoy, Ya A.; Man’ko, V. I. 1 2017 Steering in spin tomographic probability representation. Zbl 1400.81030Man’ko, V. I.; Markovich, L. A. 1 2016 Properties of nonnegative Hermitian matrices and new entropic inequalities for noncomposite quantum systems. Zbl 1338.81068Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2015 Deformed entropy and information relations for composite and noncomposite systems. Zbl 1327.81082Chernega, Vladimir N.; Man’ko, Olga V.; Man’ko, Vladimir I. 1 2015 New Minkowski type inequalities and entropic inequalities for quantum states of qudits. Zbl 1309.81050Man’ko, V. I.; Markovich, L. A. 1 2014 State-extended uncertainty relations and tomographic inequalities as quantum system state characteristics. Zbl 1282.81113Chernega, V. N.; Man’ko, V. I. 1 2012 System with classical and quantum subsystems in tomographic probability representation. Zbl 1271.81046Chernega, V. N.; Man’ko, V. I. 1 2012 Star product and ordered moments of photon creation and annihilation operators. Zbl 1235.81147Filippov, S. N.; Man’ko, V. I. 1 2012 Fresnel entropic characterization of optical Laguerre-Gaussian beams. Zbl 1242.78004De Nicola, Sergio; Fedele, Renato; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2011 Robustness of raw quantum tomography. Zbl 1242.81050Asorey, M.; Facchi, P.; Florio, G.; Man’ko, V. I.; Marmo, G.; Pascazio, S.; Sudarshan, E. C. G. 1 2011 On the problem of quantum control in infinite dimensions. Zbl 1213.81136Mendes, R. Vilela; Man’ko, Vladimir I. 1 2011 Moyal and tomographic probability representations for f-oscillator quantum states. Zbl 1189.81052Man’ko, Vladimir I.; Marmo, Giuseppe; Zaccaria, Francesco 1 2010 Tomographic approach to the violation of Bell’s inequalities for quantum states of two qutrits. Zbl 1234.81036Leggio, Bruno; Man’ko, Vladimir I.; Man’ko, Margarita A.; Messina, Antonino 1 2009 Remarks on the star product of functions on finite and compact groups. Zbl 1227.81211Aniello, P.; Ibort, A.; Man’ko, V. I.; Marmo, G. 1 2009 A tomographic description for classical and quantum cosmological perturbations. Zbl 1181.83218Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 1 2009 Quantum Fourier transform and tomographic Rényi entropic inequalities. Zbl 1176.81022Man’ko, M. A.; Man’ko, V. I. 1 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 Quantumness tests and witnesses in the tomographic-probability representation. Zbl 1170.81012Filippov, S. N.; 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 Tomographic representation of minisuperspace quantum cosmology and Noether symmetries. Zbl 1162.83017Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 1 2008 Tomographic entropy and cosmology. Zbl 1148.83345Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 1 2008 Frame transforms, star products and quantum mechanics on phase space. Zbl 1189.81125Aniello, P.; Man’ko, V. I.; Marmo, G. 1 2008 A probabilistic approach to quantum mechanics based on ‘tomograms’. Zbl 1109.81020Caponigro, M.; Mancini, S.; Man’ko, V. I. 1 2006 Bell’s inequalities in the tomographic representation. Zbl 1106.81022Lupo, C.; Man’ko, V. I.; Marmo, G. 1 2006 Center-of-mass tomography and probability representation of quantum states for tunneling. Zbl 1178.81143Arkhipov, A. S.; Lozovik, Yu. E.; Man’ko, V. I.; Sharapov, V. A. 1 2005 Fresnel tomography: A novel approach to wave-function reconstruction based on the Fresnel representation of tomograms. Zbl 1178.78007Nicola, S.; Fedele, R.; Man’ko, M. A.; Man’ko, V. I. 1 2005 Tomographic quantum measures for many degrees of freedom and the central limit theorem. Zbl 1060.81063Amosov, G. G.; Man’ko, V. I. 1 2005 Squeeze tomography of quantum states. Zbl 1064.81071Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2004 Quantum probability measure for parametric oscillators. Zbl 1098.81732Amosov, G. G.; Man’ko, V. I. 1 2003 Tomographic portrait of quantum channels. Zbl 1402.81101Amosov, G. G.; Mancini, Stefano; Manko, V. I. 2 2018 Center-of-mass tomography and Wigner function for multimode photon states. Zbl 1394.81183Dudinets, Ivan V.; Man’ko, Vladimir I. 2 2018 Unnormalized tomograms and quasidistributions of quantum states. Zbl 1411.81054Man’ko, V. I.; Markovich, L. A. 1 2018 Separability and entanglement in the Hilbert space reference frames related through the generic unitary transform for four level system. Zbl 1391.81034Man’ko, V. I.; Markovich, L. A. 1 2018 Metric on the space of quantum states from relative entropy. Tomographic reconstruction. Zbl 1373.81041Man’ko, Vladimir I.; Marmo, Giuseppe; Ventriglia, Franco; Vitale, Patrizia 4 2017 Observables, evolution equation, and stationary states equation in the joint probability representation of quantum mechanics. Zbl 1390.81033Korennoy, Ya. A.; Man’ko, V. I. 1 2017 Gauge transformation of quantum states in probability representation. Zbl 1364.81075Korennoy, Ya A.; Man’ko, V. I. 1 2017 Evolution equation for a joint tomographic probability distribution of spin-1 particles. Zbl 1358.81070Korennoy, Ya. A.; Man’ko, V. I. 4 2016 Star product, discrete Wigner functions, and spin-system tomograms. Zbl 1338.81250Adam, Peter; Andreev, Vlad A.; Isar, A.; Man’ko, V. I.; Man’ko, M. A. 2 2016 Steering in spin tomographic probability representation. Zbl 1400.81030Man’ko, V. I.; Markovich, L. A. 1 2016 Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits. Zbl 1349.81071Kiktenko, E. O.; Fedorov, A. K.; Strakhov, A. A.; Man’ko, V. I. 8 2015 Properties of nonnegative Hermitian matrices and new entropic inequalities for noncomposite quantum systems. Zbl 1338.81068Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2015 Deformed entropy and information relations for composite and noncomposite systems. Zbl 1327.81082Chernega, Vladimir N.; Man’ko, Olga V.; Man’ko, Vladimir I. 1 2015 Entanglement and other quantum correlations of a single qudit state. Zbl 1309.81035Man’ko, Margarita A.; Man’ko, Vladimir I. 2 2014 Operator method for calculating \(Q\) symbols and their relation to Weyl-Wigner symbols and symplectic tomogram symbols. Zbl 1308.81128Andreev, V. A.; Davidović, L. D.; Davidović, Milena D.; Davidović, Miloš D.; Manko, V. I.; Manko, M. A. 2 2014 New Minkowski type inequalities and entropic inequalities for quantum states of qudits. Zbl 1309.81050Man’ko, V. I.; Markovich, L. A. 1 2014 Groupoids and the tomographic picture of quantum mechanics. Zbl 1279.81055Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Stornaiolo, C.; Ventriglia, F. 2 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 the tomographic description of classical fields. Zbl 1260.81041Ibort, A.; López-Yela, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Sudarshan, E. C. G.; Ventriglia, F. 2 2012 State-extended uncertainty relations and tomographic inequalities as quantum system state characteristics. Zbl 1282.81113Chernega, V. N.; Man’ko, V. I. 1 2012 System with classical and quantum subsystems in tomographic probability representation. Zbl 1271.81046Chernega, V. N.; Man’ko, V. I. 1 2012 Star product and ordered moments of photon creation and annihilation operators. Zbl 1235.81147Filippov, S. N.; Man’ko, V. I. 1 2012 Homodyne estimation of quantum state purity by exploiting the covariant uncertainty relation. Zbl 1222.81144Man’ko, V. I.; Marmo, G.; Porzio, A.; Solimeno, S.; Ventriglia, F. 6 2011 A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms. Zbl 1274.81152Andreev, V. A.; Davidović, D. M.; Davidović, L. D.; Davidović, M. D.; Man’ko, V. I.; Man’ko, M. A. 5 2011 A pedagogical presentation of a \(C^\ast\)-algebraic approach to quantum tomography. Zbl 1263.81103Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 3 2011 Probability description and entropy of classical and quantum systems. Zbl 1211.81010Man’ko, Margarita A.; Man’ko, Vladimir I. 3 2011 Fresnel entropic characterization of optical Laguerre-Gaussian beams. Zbl 1242.78004De Nicola, Sergio; Fedele, Renato; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2011 Robustness of raw quantum tomography. Zbl 1242.81050Asorey, M.; Facchi, P.; Florio, G.; Man’ko, V. I.; Marmo, G.; Pascazio, S.; Sudarshan, E. C. G. 1 2011 On the problem of quantum control in infinite dimensions. Zbl 1213.81136Mendes, R. Vilela; Man’ko, Vladimir I. 1 2011 Classical and quantum Fisher information in the geometrical formulation of quantum mechanics. Zbl 1238.81013Facchi, Paolo; Kulkarni, Ravi; Man’ko, V. I.; Marmo, Giuseppe; Sudarshan, E. C. G.; Ventriglia, Franco 15 2010 On the tomographic picture of quantum mechanics. Zbl 1237.81043Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 5 2010 Moyal and tomographic probability representations for f-oscillator quantum states. Zbl 1189.81052Man’ko, Vladimir I.; Marmo, Giuseppe; Zaccaria, Francesco 1 2010 An introduction to the tomographic picture of quantum mechanics. Zbl 1170.81007Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 33 2009 A generalized Wigner function on the space of irreducible representations of the Weyl-Heisenberg group and its transformation properties. Zbl 1161.81393Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 4 2009 Tomographic approach to the violation of Bell’s inequalities for quantum states of two qutrits. Zbl 1234.81036Leggio, Bruno; Man’ko, Vladimir I.; Man’ko, Margarita A.; Messina, Antonino 1 2009 Remarks on the star product of functions on finite and compact groups. Zbl 1227.81211Aniello, P.; Ibort, A.; Man’ko, V. I.; Marmo, G. 1 2009 A tomographic description for classical and quantum cosmological perturbations. Zbl 1181.83218Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 1 2009 Quantum Fourier transform and tomographic Rényi entropic inequalities. Zbl 1176.81022Man’ko, M. A.; Man’ko, V. I. 1 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 Quantumness tests and witnesses in the tomographic-probability representation. Zbl 1170.81012Filippov, S. N.; 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 Semigroup of positive maps for qudit states and entanglement in tomographic probability representation. Zbl 1225.81033Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 3 2008 A tomographic setting for quasi-distribution functions. Zbl 1252.81038Man’ko, V. I.; Marmo, G.; Simoni, A.; Sudarshan, E. C. G.; Ventriglia, F. 3 2008 f-oscillators deformation for Moyal algebras. Zbl 1221.81109Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 2 2008 On the information completeness of quantum tomograms. Zbl 1220.81051Amosov, Grigori G.; Mancini, Stefano; Man’ko, Vladimir I. 1 2008 Tomographic representation of minisuperspace quantum cosmology and Noether symmetries. Zbl 1162.83017Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 1 2008 Tomographic entropy and cosmology. Zbl 1148.83345Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 1 2008 Frame transforms, star products and quantum mechanics on phase space. Zbl 1189.81125Aniello, P.; Man’ko, V. I.; Marmo, G. 1 2008 New inequalities for tomograms in the probability representation of quantum states. Zbl 1134.81330De Nicola, S.; Fedele, R.; Man’ko, M. A.; Man’ko, V. I. 2 2007 Qubit portraits of qudit states and quantum correlations. Zbl 1124.81009Lupo, C.; Man’ko, V. I.; Marmo, G. 2 2007 Star products, duality and double Lie algebras. Zbl 1236.81140Man’ko, Olga V.; Man’ko, Vladimir I.; Marmo, Giuseppe; Vitale, Patrizia 9 2006 Does the uncertainty relation determine the quantum state? Zbl 1236.81023Man’ko, Olga V.; Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 4 2006 Tomography in abstract Hilbert spaces. Zbl 1101.81032Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 4 2006 1D stability analysis of filtering and controlling the solitons in Bose-Einstein condensates. Zbl 1189.35268De Nicola, S.; Fedele, R.; Jovanovic, D.; Malomed, B.; Man’ko, M. A.; Man’ko, V. I.; Shukla, P. K. 3 2006 On the meaning and interpretation of tomography in abstract Hilbert spaces. Zbl 1234.81029Man’ko, V. I.; Marmo, G.; Simoni, A.; Stern, A.; Sudarshan, E. C. G.; Ventriglia, F. 2 2006 Tomography of spin states, the entanglement criterion, and Bell’s inequalities. Zbl 1177.81017Andreev, V. A.; Man’ko, V. I.; Man’ko, O. V.; Shchukin, E. V. 2 2006 A probabilistic approach to quantum mechanics based on ‘tomograms’. Zbl 1109.81020Caponigro, M.; Mancini, S.; Man’ko, V. I. 1 2006 Bell’s inequalities in the tomographic representation. Zbl 1106.81022Lupo, C.; Man’ko, V. I.; Marmo, G. 1 2006 Differential geometry of density states. Zbl 1138.81336Man’ko, V. I.; Marmo, G.; Zaccaria, F.; Sudarshan, E. C. G. 12 2005 Phase space distributions and a duality symmetry for star products. Zbl 1123.53302Man’ko, V. I.; Marmo, G.; Vitale, P. 9 2005 Partial positive scaling transform: a separability criterion. Zbl 1137.81308Man’ko, Olga V.; Man’ko, V. I.; Marmo, G.; Shaji, Anil; Sudarshan, E. C. G.; Zaccaria, F. 6 2005 Radon transform of the Wheeler-De Witt equation and tomography of quantum states of the universe. Zbl 1065.83023Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 4 2005 Tomograms in the quantum-classical transition. Zbl 1194.81043Man’ko, V. I.; Marmo, G.; Simoni, A.; Stern, A.; Ventriglia, F. 3 2005 Cosmological dynamics in tomographic probability representation. Zbl 1093.83051Man‘ko, V. I.; Marmo, G.; Stornaiolo, C. 3 2005 Center-of-mass tomography and probability representation of quantum states for tunneling. Zbl 1178.81143Arkhipov, A. S.; Lozovik, Yu. E.; Man’ko, V. I.; Sharapov, V. A. 1 2005 Fresnel tomography: A novel approach to wave-function reconstruction based on the Fresnel representation of tomograms. Zbl 1178.78007Nicola, S.; Fedele, R.; Man’ko, M. A.; Man’ko, V. I. 1 2005 Tomographic quantum measures for many degrees of freedom and the central limit theorem. Zbl 1060.81063Amosov, G. G.; Man’ko, V. I. 1 2005 Positive maps of density matrix and a tomographic criterion of entanglement. Zbl 1138.81335Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 5 2004 Bell’s inequality for two-particle mixed spin states. Zbl 1178.81008Andreev, V. A.; Man’ko, V. I. 4 2004 Center of mass tomography for reconstructing quantum states of multipartite systems. Zbl 1134.81435Arkhipov, A. S.; Lozovik, Yu. E.; Man’ko, V. I. 2 2004 Squeeze tomography of quantum states. Zbl 1064.81071Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2004 Quantum probability measure for parametric oscillators. Zbl 1098.81732Amosov, G. G.; Man’ko, V. I. 1 2003 Kernel of star-product for spin tomograms. Zbl 1032.81035Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2003 Alternative commutation relations, star products and tomography. Zbl 1041.81080Man’ko, Olga V.; Man’ko, V. I.; Marmo, G. 16 2002 Tomographic representation of spin and quark states. Zbl 1066.81558Klimov, A. B.; Man’ko, Olga V.; Man’ko, V. I.; Smirnov, Yu. F.; Tolstoy, V. N. 2 2002 Quantum sensitive dependence. Zbl 0997.81046Man’ko, V. I.; Vilela Mendes, R. 1 2002 Tomograms and other transforms: A unified view. Zbl 0999.44002Man’ko, M. A.; Man’ko, V. I.; Mendes, R. Vilela 12 2001 The Pauli equation for probability distributions. Zbl 0980.81032Mancini, S.; Man’ko, O. V.; Man’ko, V. I.; Tombesi, P. 8 2001 Quantum computation by quantumlike systems. Zbl 0970.81006Man’ko, M. A.; Man’ko, V. I.; Vilela Mendes, R. 5 2001 The classification of two-particle spin states and generalized Bell inequalities. Zbl 0984.81013Andreev, V. A.; Man’ko, V. I. 2 2001 Lyapunov exponent in quantum mechanics. A phase-space approach. Zbl 0982.81029Man’ko, V. I.; Vilela Mendes, R. 9 2000 Hilbert-Schmidt distance and non-classicality of states in quantum optics. Zbl 0941.81069Dodonov, V. V.; Man’ko, O. V.; Man’ko, V. I.; Wünsche, A. 7 2000 Inner composition law of pure states as a purification of impure states. Zbl 1115.81311Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 3 2000 Noncommutative time-frequency tomography. Zbl 1044.81817Man’ko, V. I.; Vilela Mendes, R. 9 1999 Energy-sensitive and “classical-like” distances between quantum states. Zbl 1063.81561Dodonov, V. V.; Man’ko, O. V.; Man’ko, V. I.; Wünsche, A. 2 1999 On the nonlinearity interpretation of \(q\)- and \(f\)-deformation and some applications. Zbl 0954.81034Man’ko, V. I.; Vilela Mendes, R. 3 1998 Schrödinger cat states in a Penning trap. Zbl 0904.34069Castaños, O.; Hacyan, S.; López-Peña, R.; Man’ko, V. I. 1 1998 Positive distribution description for spin states. Zbl 1072.81531Dodonov, V. V.; Man’ko, V. I. 17 1997 The damped quantum oscillator and the classical representation of quantum mechanics. Zbl 0968.81519Man’ko, V. I.; Safonov, S. S. 1 1997 Symplectic tomography as classical approach to quantum systems. Zbl 1073.81629Mancini, S.; Man’ko, V. I.; Tombesi, P. 36 1996 Time-dependent squeezing and photon anti-bunching in squeezed even and odd coherent states. Zbl 1037.81642Ansari, Nadeem A.; Man’ko, V. I. 2 1996 Deformations and nonlinear systems. Zbl 0904.35073Man’ko, V. I.; Marmo, G.; Zaccaria, F. 2 1996 \(f\)-oscillators. Zbl 0948.81572Man’ko, V. I.; Marmo, G.; Zaccaria, F.; Sudarshan, E. C. G. 1 1996 Quantum representation of a time-dependent quadratic Hamiltonian in a time-dependent phase space frame. Zbl 1073.81624Leyvraz, F.; Man’ko, V. I.; Seligman, T. H. 1 1996 Experimental limit on the blue shift of the frequency of light implied by a \(q\)-nonlinearity. Zbl 1020.81987Man’ko, V. I.; Tino, G. M. 4 1995 Deformed field equations. Zbl 1020.81565Man’ko, V. I.; Marmo, G.; Zaccaria, F. 1 1995 Crystallized Schrödinger cat states. Zbl 0897.58047Castaños, O.; López-Peña, R.; Man’ko, V. I. 1 1995 A generalization of the Jordan-Schwinger map: The classical version and its \(q\) deformation. Zbl 0988.17500Man’ko, V. I.; Marmo, G.; Vitale, P.; Zaccaria, F. 19 1994 New relations for two-dimensional Hermite polynomials. Zbl 0815.33004Dodonov, V. V.; Man’ko, V. I. 5 1994 Noether’s theorem and time-dependent quantum invariants. Zbl 0846.70014Castaños, O.; López-Peña, R.; Man’ko, V. I. 2 1994 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 367 Authors 65 Man’ko, Vladimir Ivanovich 42 Marmo, Giuseppe 12 Man’ko, Margarita A. 10 Man’ko, Olga V. 9 Vitale, Patrizia 8 Markovich, Liubov A. 8 Ventriglia, Franco 6 Gromov, Nikolai A. 6 Ibort, Alberto 6 Mancini, Stefano 6 Zaccaria, Francesco 5 Amosov, Grigori G. 5 Ballesteros, Angel 5 Ciaglia, Florio Maria 5 Clemente-Gallardo, Jesús 5 Korennoy, Ya. A. 5 Simoni, Alberto 5 Stornaiolo, Cosimo 5 Sudarshan, E. C. George 4 Andreev, Vladimir A. 4 Aniello, Paolo 4 Chernega, Vladimir N. 4 de Gosson, Maurice Alexis 4 Ercolessi, Elisa 4 Herranz, Francisco José 4 Khrennikov, Andreĭ Yur’evich 4 Scolarici, Giuseppe 4 Zampini, Alessandro 3 Andreev, Vlad A. 3 Avanesov, A. S. 3 Berrada, K. 3 Cariñena, José F. 3 Davidović, L. D. 3 Davidović, Miloš D. 3 Di Cosmo, Fabio 3 Dodonov, Victor V. 3 Facchi, Paolo 3 Fedele, Renato 3 Felice, Domenico 3 Leznov, Andreĭ Nikolaevich 3 Mirzaee, Monir 3 Morandi, Giuseppe 3 Mukunda, Narasimhaiengar 3 Pascazio, Saverio 3 Roknizadeh, Rasoul 3 Ruuge, Artur E. 3 Santander, Mariano 3 Strakhov, Alexey A. 3 Wünsche, Alfred 2 Bekkar, Hacene 2 Cafaro, Carlo 2 Calixto, Manuel 2 Choi, Jeong-Ryeol 2 Chumakov, Sergey M. 2 Daeimohamad, Mohsen 2 D’Avanzo, Antonella 2 Davidović, Dragomir M. 2 Davidović, Milena D. 2 De Nicola, Sergio 2 Dehdashti, Shahram 2 del Olmo, Mariano A. 2 Denisov, S. V. 2 Dnestryan, Andreĭ Igor’evich 2 Fakhri, Hossein 2 Fan, Hong-Yi 2 Fedorov, Alekseĭ Konstantinovich 2 Ivanchenko, Mikhail V. 2 Jafarizadeh, Mohammad Ali 2 Jovanović, Dušan 2 Kheirandish, Fardin 2 Laudato, Marco 2 Ligabò, Marilena 2 Lupo, Cosmo 2 Mahdifar, Ali 2 Medjber, Salim 2 Meng, Xiangguo 2 Menouar, Salah 2 Moya-Cessa, Héctor Manuel 2 Pérez-Pardo, Juan Manuel 2 Pokutnyĭ, Oleksandr Olekseevich 2 Ragnisco, Orlando 2 Rezaei, Masoumeh 2 Sayyah-Fard, M. 2 Shchukin, E. V. 2 Simon, Renate 2 Simon, Rick 2 Sun, Wen-Yang 2 Tronci, Cesare 2 Vershinina, O. S. 2 Wang, Dong 2 Ye, Liu 2 Yusipov, I. I. 1 Abdalla, M. Sebawe 1 Abdallah, Chaouki Tanios 1 Abdel-Khalek, Sayed 1 Abgaryan, V. S. 1 Abolhassani, Mohamad Reza 1 Adam, Peter 1 Agyo, S. 1 Ahbli, Khalid ...and 267 more Authors all top 5 Cited in 63 Serials 30 Physics Letters. 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Condensed Matter and Complex Systems 2 Modern Physics Letters A 2 Journal of Mathematical Analysis and Applications 2 Reviews in Mathematical Physics 2 Journal of Geometry and Physics 2 Acta Applicandae Mathematicae 2 Doklady Mathematics 2 Entropy 1 European Journal of Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Moscow University Physics Bulletin 1 Nuclear Physics. B 1 Physics Reports 1 Programming and Computer Software 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Physica D 1 Discrete & Computational Geometry 1 Numerical Methods for Partial Differential Equations 1 The Journal of Geometric Analysis 1 Discrete Event Dynamic Systems 1 Annals of Physics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis 1 Russian Mathematics 1 Advances in Applied Clifford Algebras 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 New Journal of Physics 1 Russian Physics Journal 1 Journal of High Energy Physics 1 International Journal of Modern Physics C 1 Journal of Nonlinear Mathematical Physics 1 Foundations of Physics Letters 1 The European Physical Journal C. Particles and Fields 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. 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