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Man’ko, Vladimir Ivanovich

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Author ID: manko.vladimir-i Recent zbMATH articles by "Man'ko, Vladimir Ivanovich"
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

Publications by Year

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 1073.81629
Mancini, S.; Man’ko, V. I.; Tombesi, P.
36
1996
An introduction to the tomographic picture of quantum mechanics. Zbl 1170.81007
Ibort, 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 0988.17500
Man’ko, V. I.; Marmo, G.; Vitale, P.; Zaccaria, F.
19
1994
Physical nonlinear aspects of classical and quantum \(q\)-oscillators. Zbl 0984.81508
Man’ko, V. I.; Marmo, G.; Solimeno, S.; Zaccaria, F.
18
1993
Positive distribution description for spin states. Zbl 1072.81531
Dodonov, V. V.; Man’ko, V. I.
17
1997
Alternative commutation relations, star products and tomography. Zbl 1041.81080
Man’ko, Olga V.; Man’ko, V. I.; Marmo, G.
16
2002
Classical and quantum Fisher information in the geometrical formulation of quantum mechanics. Zbl 1238.81013
Facchi, Paolo; Kulkarni, Ravi; Man’ko, V. I.; Marmo, Giuseppe; Sudarshan, E. C. G.; Ventriglia, Franco
15
2010
Differential geometry of density states. Zbl 1138.81336
Man’ko, V. I.; Marmo, G.; Zaccaria, F.; Sudarshan, E. C. G.
12
2005
Tomograms and other transforms: A unified view. Zbl 0999.44002
Man’ko, M. A.; Man’ko, V. I.; Mendes, R. Vilela
12
2001
Star products, duality and double Lie algebras. Zbl 1236.81140
Man’ko, Olga V.; Man’ko, Vladimir I.; Marmo, Giuseppe; Vitale, Patrizia
9
2006
Phase space distributions and a duality symmetry for star products. Zbl 1123.53302
Man’ko, V. I.; Marmo, G.; Vitale, P.
9
2005
Lyapunov exponent in quantum mechanics. A phase-space approach. Zbl 0982.81029
Man’ko, V. I.; Vilela Mendes, R.
9
2000
Noncommutative time-frequency tomography. Zbl 1044.81817
Man’ko, V. I.; Vilela Mendes, R.
9
1999
Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits. Zbl 1349.81071
Kiktenko, E. O.; Fedorov, A. K.; Strakhov, A. A.; Man’ko, V. I.
8
2015
The Pauli equation for probability distributions. Zbl 0980.81032
Mancini, S.; Man’ko, O. V.; Man’ko, V. I.; Tombesi, P.
8
2001
Universal invariants of quantum systems and generalized uncertainty principles. Zbl 0603.35074
Dodonov, V. V.; Man’ko, V. I.
8
1983
Hilbert-Schmidt distance and non-classicality of states in quantum optics. Zbl 0941.81069
Dodonov, 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 0701.22009
Gromov, N. A.; Man’ko, V. I.
7
1990
Homodyne estimation of quantum state purity by exploiting the covariant uncertainty relation. Zbl 1222.81144
Man’ko, V. I.; Marmo, G.; Porzio, A.; Solimeno, S.; Ventriglia, F.
6
2011
Partial positive scaling transform: a separability criterion. Zbl 1137.81308
Man’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 0767.17008
Gromov, 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 1274.81152
Andreev, 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 1237.81043
Ibort, 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 1138.81335
Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F.
5
2004
Quantum computation by quantumlike systems. Zbl 0970.81006
Man’ko, M. A.; Man’ko, V. I.; Vilela Mendes, R.
5
2001
New relations for two-dimensional Hermite polynomials. Zbl 0815.33004
Dodonov, V. V.; Man’ko, V. I.
5
1994
Metric on the space of quantum states from relative entropy. Tomographic reconstruction. Zbl 1373.81041
Man’ko, Vladimir I.; Marmo, Giuseppe; Ventriglia, Franco; Vitale, Patrizia
4
2017
Evolution equation for a joint tomographic probability distribution of spin-1 particles. Zbl 1358.81070
Korennoy, 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 1161.81393
Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F.
4
2009
Does the uncertainty relation determine the quantum state? Zbl 1236.81023
Man’ko, Olga V.; Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F.
4
2006
Tomography in abstract Hilbert spaces. Zbl 1101.81032
Man’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 1065.83023
Man’ko, V. I.; Marmo, G.; Stornaiolo, C.
4
2005
Bell’s inequality for two-particle mixed spin states. Zbl 1178.81008
Andreev, 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 1020.81987
Man’ko, V. I.; Tino, G. M.
4
1995
Calculating means of quantum observables in the optical tomography representation. Zbl 1282.81087
Amosov, G. G.; Korennoy, Ya. A.; Man’ko, V. I.
3
2012
A pedagogical presentation of a \(C^\ast\)-algebraic approach to quantum tomography. Zbl 1263.81103
Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F.
3
2011
Probability description and entropy of classical and quantum systems. Zbl 1211.81010
Man’ko, Margarita A.; Man’ko, Vladimir I.
3
2011
Semigroup of positive maps for qudit states and entanglement in tomographic probability representation. Zbl 1225.81033
Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F.
3
2008
A tomographic setting for quasi-distribution functions. Zbl 1252.81038
Man’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 1189.35268
De 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 1194.81043
Man’ko, V. I.; Marmo, G.; Simoni, A.; Stern, A.; Ventriglia, F.
3
2005
Cosmological dynamics in tomographic probability representation. Zbl 1093.83051
Man‘ko, V. I.; Marmo, G.; Stornaiolo, C.
3
2005
Inner composition law of pure states as a purification of impure states. Zbl 1115.81311
Man’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 0954.81034
Man’ko, V. I.; Vilela Mendes, R.
3
1998
Generalized reduction procedure and nonlinear nonstationary dynamical systems. Zbl 1020.34505
Man’ko, V. I.; Marmo, G.
3
1992
The Jordan-Schwinger representations of Cayley-Klein groups. II: The unitary groups. Zbl 0701.22010
Gromov, N. A.; Man’ko, V. I.
3
1990
Correlation functions of the nonstationary quantum singular oscillator. Zbl 0626.58034
Chumakov, S. M.; Dodonov, V. V.; Man’ko, V. I.
3
1986
Tomographic portrait of quantum channels. Zbl 1402.81101
Amosov, G. G.; Mancini, Stefano; Manko, V. I.
2
2018
Center-of-mass tomography and Wigner function for multimode photon states. Zbl 1394.81183
Dudinets, Ivan V.; Man’ko, Vladimir I.
2
2018
Star product, discrete Wigner functions, and spin-system tomograms. Zbl 1338.81250
Adam, 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 1309.81035
Man’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 1308.81128
Andreev, 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 1279.81055
Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Stornaiolo, C.; Ventriglia, F.
2
2013
On the tomographic description of classical fields. Zbl 1260.81041
Ibort, 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 1221.81109
Man’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 1134.81330
De Nicola, S.; Fedele, R.; Man’ko, M. A.; Man’ko, V. I.
2
2007
Qubit portraits of qudit states and quantum correlations. Zbl 1124.81009
Lupo, C.; Man’ko, V. I.; Marmo, G.
2
2007
On the meaning and interpretation of tomography in abstract Hilbert spaces. Zbl 1234.81029
Man’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 1177.81017
Andreev, 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 1134.81435
Arkhipov, A. S.; Lozovik, Yu. E.; Man’ko, V. I.
2
2004
Tomographic representation of spin and quark states. Zbl 1066.81558
Klimov, 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 0984.81013
Andreev, V. A.; Man’ko, V. I.
2
2001
Energy-sensitive and “classical-like” distances between quantum states. Zbl 1063.81561
Dodonov, 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 1037.81642
Ansari, Nadeem A.; Man’ko, V. I.
2
1996
Deformations and nonlinear systems. Zbl 0904.35073
Man’ko, V. I.; Marmo, G.; Zaccaria, F.
2
1996
Noether’s theorem and time-dependent quantum invariants. Zbl 0846.70014
Castaños, 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 0598.34026
Leznov, A. N.; Man’ko, V. I.; Chumakov, S. M.
2
1984
Unnormalized tomograms and quasidistributions of quantum states. Zbl 1411.81054
Man’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 1391.81034
Man’ko, V. I.; Markovich, L. A.
1
2018
Observables, evolution equation, and stationary states equation in the joint probability representation of quantum mechanics. Zbl 1390.81033
Korennoy, Ya. A.; Man’ko, V. I.
1
2017
Gauge transformation of quantum states in probability representation. Zbl 1364.81075
Korennoy, Ya A.; Man’ko, V. I.
1
2017
Steering in spin tomographic probability representation. Zbl 1400.81030
Man’ko, V. I.; Markovich, L. A.
1
2016
Properties of nonnegative Hermitian matrices and new entropic inequalities for noncomposite quantum systems. Zbl 1338.81068
Man’ko, Margarita A.; Man’ko, Vladimir I.
1
2015
Deformed entropy and information relations for composite and noncomposite systems. Zbl 1327.81082
Chernega, 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 1309.81050
Man’ko, V. I.; Markovich, L. A.
1
2014
State-extended uncertainty relations and tomographic inequalities as quantum system state characteristics. Zbl 1282.81113
Chernega, V. N.; Man’ko, V. I.
1
2012
System with classical and quantum subsystems in tomographic probability representation. Zbl 1271.81046
Chernega, V. N.; Man’ko, V. I.
1
2012
Star product and ordered moments of photon creation and annihilation operators. Zbl 1235.81147
Filippov, S. N.; Man’ko, V. I.
1
2012
Fresnel entropic characterization of optical Laguerre-Gaussian beams. Zbl 1242.78004
De Nicola, Sergio; Fedele, Renato; Man’ko, Margarita A.; Man’ko, Vladimir I.
1
2011
Robustness of raw quantum tomography. Zbl 1242.81050
Asorey, 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 1213.81136
Mendes, R. Vilela; Man’ko, Vladimir I.
1
2011
Moyal and tomographic probability representations for f-oscillator quantum states. Zbl 1189.81052
Man’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 1234.81036
Leggio, 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 1227.81211
Aniello, P.; Ibort, A.; Man’ko, V. I.; Marmo, G.
1
2009
A tomographic description for classical and quantum cosmological perturbations. Zbl 1181.83218
Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C.
1
2009
Quantum Fourier transform and tomographic Rényi entropic inequalities. Zbl 1176.81022
Man’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 1175.81044
Amosov, G. G.; Man’ko, V. I.
1
2009
Quantumness tests and witnesses in the tomographic-probability representation. Zbl 1170.81012
Filippov, 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 1160.81365
Amosov, G. G.; Man’ko, V. I.; Orlov, Yu N.
1
2009
On the information completeness of quantum tomograms. Zbl 1220.81051
Amosov, Grigori G.; Mancini, Stefano; Man’ko, Vladimir I.
1
2008
Tomographic representation of minisuperspace quantum cosmology and Noether symmetries. Zbl 1162.83017
Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C.
1
2008
Tomographic entropy and cosmology. Zbl 1148.83345
Man’ko, V. I.; Marmo, G.; Stornaiolo, C.
1
2008
Frame transforms, star products and quantum mechanics on phase space. Zbl 1189.81125
Aniello, P.; Man’ko, V. I.; Marmo, G.
1
2008
A probabilistic approach to quantum mechanics based on ‘tomograms’. Zbl 1109.81020
Caponigro, M.; Mancini, S.; Man’ko, V. I.
1
2006
Bell’s inequalities in the tomographic representation. Zbl 1106.81022
Lupo, C.; Man’ko, V. I.; Marmo, G.
1
2006
Center-of-mass tomography and probability representation of quantum states for tunneling. Zbl 1178.81143
Arkhipov, 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 1178.78007
Nicola, 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 1060.81063
Amosov, G. G.; Man’ko, V. I.
1
2005
Squeeze tomography of quantum states. Zbl 1064.81071
Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I.
1
2004
Quantum probability measure for parametric oscillators. Zbl 1098.81732
Amosov, G. G.; Man’ko, V. I.
1
2003
Tomographic portrait of quantum channels. Zbl 1402.81101
Amosov, G. G.; Mancini, Stefano; Manko, V. I.
2
2018
Center-of-mass tomography and Wigner function for multimode photon states. Zbl 1394.81183
Dudinets, Ivan V.; Man’ko, Vladimir I.
2
2018
Unnormalized tomograms and quasidistributions of quantum states. Zbl 1411.81054
Man’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 1391.81034
Man’ko, V. I.; Markovich, L. A.
1
2018
Metric on the space of quantum states from relative entropy. Tomographic reconstruction. Zbl 1373.81041
Man’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 1390.81033
Korennoy, Ya. A.; Man’ko, V. I.
1
2017
Gauge transformation of quantum states in probability representation. Zbl 1364.81075
Korennoy, Ya A.; Man’ko, V. I.
1
2017
Evolution equation for a joint tomographic probability distribution of spin-1 particles. Zbl 1358.81070
Korennoy, Ya. A.; Man’ko, V. I.
4
2016
Star product, discrete Wigner functions, and spin-system tomograms. Zbl 1338.81250
Adam, Peter; Andreev, Vlad A.; Isar, A.; Man’ko, V. I.; Man’ko, M. A.
2
2016
Steering in spin tomographic probability representation. Zbl 1400.81030
Man’ko, V. I.; Markovich, L. A.
1
2016
Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits. Zbl 1349.81071
Kiktenko, 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 1338.81068
Man’ko, Margarita A.; Man’ko, Vladimir I.
1
2015
Deformed entropy and information relations for composite and noncomposite systems. Zbl 1327.81082
Chernega, Vladimir N.; Man’ko, Olga V.; Man’ko, Vladimir I.
1
2015
Entanglement and other quantum correlations of a single qudit state. Zbl 1309.81035
Man’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 1308.81128
Andreev, 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 1309.81050
Man’ko, V. I.; Markovich, L. A.
1
2014
Groupoids and the tomographic picture of quantum mechanics. Zbl 1279.81055
Ibort, 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 1282.81087
Amosov, G. G.; Korennoy, Ya. A.; Man’ko, V. I.
3
2012
On the tomographic description of classical fields. Zbl 1260.81041
Ibort, 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 1282.81113
Chernega, V. N.; Man’ko, V. I.
1
2012
System with classical and quantum subsystems in tomographic probability representation. Zbl 1271.81046
Chernega, V. N.; Man’ko, V. I.
1
2012
Star product and ordered moments of photon creation and annihilation operators. Zbl 1235.81147
Filippov, S. N.; Man’ko, V. I.
1
2012
Homodyne estimation of quantum state purity by exploiting the covariant uncertainty relation. Zbl 1222.81144
Man’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 1274.81152
Andreev, 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 1263.81103
Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F.
3
2011
Probability description and entropy of classical and quantum systems. Zbl 1211.81010
Man’ko, Margarita A.; Man’ko, Vladimir I.
3
2011
Fresnel entropic characterization of optical Laguerre-Gaussian beams. Zbl 1242.78004
De Nicola, Sergio; Fedele, Renato; Man’ko, Margarita A.; Man’ko, Vladimir I.
1
2011
Robustness of raw quantum tomography. Zbl 1242.81050
Asorey, 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 1213.81136
Mendes, R. Vilela; Man’ko, Vladimir I.
1
2011
Classical and quantum Fisher information in the geometrical formulation of quantum mechanics. Zbl 1238.81013
Facchi, 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 1237.81043
Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F.
5
2010
Moyal and tomographic probability representations for f-oscillator quantum states. Zbl 1189.81052
Man’ko, Vladimir I.; Marmo, Giuseppe; Zaccaria, Francesco
1
2010
An introduction to the tomographic picture of quantum mechanics. Zbl 1170.81007
Ibort, 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 1161.81393
Ibort, 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 1234.81036
Leggio, 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 1227.81211
Aniello, P.; Ibort, A.; Man’ko, V. I.; Marmo, G.
1
2009
A tomographic description for classical and quantum cosmological perturbations. Zbl 1181.83218
Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C.
1
2009
Quantum Fourier transform and tomographic Rényi entropic inequalities. Zbl 1176.81022
Man’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 1175.81044
Amosov, G. G.; Man’ko, V. I.
1
2009
Quantumness tests and witnesses in the tomographic-probability representation. Zbl 1170.81012
Filippov, 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 1160.81365
Amosov, 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 1225.81033
Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F.
3
2008
A tomographic setting for quasi-distribution functions. Zbl 1252.81038
Man’ko, V. I.; Marmo, G.; Simoni, A.; Sudarshan, E. C. G.; Ventriglia, F.
3
2008
f-oscillators deformation for Moyal algebras. Zbl 1221.81109
Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F.
2
2008
On the information completeness of quantum tomograms. Zbl 1220.81051
Amosov, Grigori G.; Mancini, Stefano; Man’ko, Vladimir I.
1
2008
Tomographic representation of minisuperspace quantum cosmology and Noether symmetries. Zbl 1162.83017
Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C.
1
2008
Tomographic entropy and cosmology. Zbl 1148.83345
Man’ko, V. I.; Marmo, G.; Stornaiolo, C.
1
2008
Frame transforms, star products and quantum mechanics on phase space. Zbl 1189.81125
Aniello, P.; Man’ko, V. I.; Marmo, G.
1
2008
New inequalities for tomograms in the probability representation of quantum states. Zbl 1134.81330
De Nicola, S.; Fedele, R.; Man’ko, M. A.; Man’ko, V. I.
2
2007
Qubit portraits of qudit states and quantum correlations. Zbl 1124.81009
Lupo, C.; Man’ko, V. I.; Marmo, G.
2
2007
Star products, duality and double Lie algebras. Zbl 1236.81140
Man’ko, Olga V.; Man’ko, Vladimir I.; Marmo, Giuseppe; Vitale, Patrizia
9
2006
Does the uncertainty relation determine the quantum state? Zbl 1236.81023
Man’ko, Olga V.; Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F.
4
2006
Tomography in abstract Hilbert spaces. Zbl 1101.81032
Man’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 1189.35268
De 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 1234.81029
Man’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 1177.81017
Andreev, 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 1109.81020
Caponigro, M.; Mancini, S.; Man’ko, V. I.
1
2006
Bell’s inequalities in the tomographic representation. Zbl 1106.81022
Lupo, C.; Man’ko, V. I.; Marmo, G.
1
2006
Differential geometry of density states. Zbl 1138.81336
Man’ko, V. I.; Marmo, G.; Zaccaria, F.; Sudarshan, E. C. G.
12
2005
Phase space distributions and a duality symmetry for star products. Zbl 1123.53302
Man’ko, V. I.; Marmo, G.; Vitale, P.
9
2005
Partial positive scaling transform: a separability criterion. Zbl 1137.81308
Man’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 1065.83023
Man’ko, V. I.; Marmo, G.; Stornaiolo, C.
4
2005
Tomograms in the quantum-classical transition. Zbl 1194.81043
Man’ko, V. I.; Marmo, G.; Simoni, A.; Stern, A.; Ventriglia, F.
3
2005
Cosmological dynamics in tomographic probability representation. Zbl 1093.83051
Man‘ko, V. I.; Marmo, G.; Stornaiolo, C.
3
2005
Center-of-mass tomography and probability representation of quantum states for tunneling. Zbl 1178.81143
Arkhipov, 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 1178.78007
Nicola, 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 1060.81063
Amosov, G. G.; Man’ko, V. I.
1
2005
Positive maps of density matrix and a tomographic criterion of entanglement. Zbl 1138.81335
Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F.
5
2004
Bell’s inequality for two-particle mixed spin states. Zbl 1178.81008
Andreev, V. A.; Man’ko, V. I.
4
2004
Center of mass tomography for reconstructing quantum states of multipartite systems. Zbl 1134.81435
Arkhipov, A. S.; Lozovik, Yu. E.; Man’ko, V. I.
2
2004
Squeeze tomography of quantum states. Zbl 1064.81071
Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I.
1
2004
Quantum probability measure for parametric oscillators. Zbl 1098.81732
Amosov, G. G.; Man’ko, V. I.
1
2003
Kernel of star-product for spin tomograms. Zbl 1032.81035
Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I.
1
2003
Alternative commutation relations, star products and tomography. Zbl 1041.81080
Man’ko, Olga V.; Man’ko, V. I.; Marmo, G.
16
2002
Tomographic representation of spin and quark states. Zbl 1066.81558
Klimov, A. B.; Man’ko, Olga V.; Man’ko, V. I.; Smirnov, Yu. F.; Tolstoy, V. N.
2
2002
Quantum sensitive dependence. Zbl 0997.81046
Man’ko, V. I.; Vilela Mendes, R.
1
2002
Tomograms and other transforms: A unified view. Zbl 0999.44002
Man’ko, M. A.; Man’ko, V. I.; Mendes, R. Vilela
12
2001
The Pauli equation for probability distributions. Zbl 0980.81032
Mancini, S.; Man’ko, O. V.; Man’ko, V. I.; Tombesi, P.
8
2001
Quantum computation by quantumlike systems. Zbl 0970.81006
Man’ko, M. A.; Man’ko, V. I.; Vilela Mendes, R.
5
2001
The classification of two-particle spin states and generalized Bell inequalities. Zbl 0984.81013
Andreev, V. A.; Man’ko, V. I.
2
2001
Lyapunov exponent in quantum mechanics. A phase-space approach. Zbl 0982.81029
Man’ko, V. I.; Vilela Mendes, R.
9
2000
Hilbert-Schmidt distance and non-classicality of states in quantum optics. Zbl 0941.81069
Dodonov, 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 1115.81311
Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F.
3
2000
Noncommutative time-frequency tomography. Zbl 1044.81817
Man’ko, V. I.; Vilela Mendes, R.
9
1999
Energy-sensitive and “classical-like” distances between quantum states. Zbl 1063.81561
Dodonov, 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 0954.81034
Man’ko, V. I.; Vilela Mendes, R.
3
1998
Schrödinger cat states in a Penning trap. Zbl 0904.34069
Castaños, O.; Hacyan, S.; López-Peña, R.; Man’ko, V. I.
1
1998
Positive distribution description for spin states. Zbl 1072.81531
Dodonov, V. V.; Man’ko, V. I.
17
1997
The damped quantum oscillator and the classical representation of quantum mechanics. Zbl 0968.81519
Man’ko, V. I.; Safonov, S. S.
1
1997
Symplectic tomography as classical approach to quantum systems. Zbl 1073.81629
Mancini, S.; Man’ko, V. I.; Tombesi, P.
36
1996
Time-dependent squeezing and photon anti-bunching in squeezed even and odd coherent states. Zbl 1037.81642
Ansari, Nadeem A.; Man’ko, V. I.
2
1996
Deformations and nonlinear systems. Zbl 0904.35073
Man’ko, V. I.; Marmo, G.; Zaccaria, F.
2
1996
\(f\)-oscillators. Zbl 0948.81572
Man’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 1073.81624
Leyvraz, 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 1020.81987
Man’ko, V. I.; Tino, G. M.
4
1995
Deformed field equations. Zbl 1020.81565
Man’ko, V. I.; Marmo, G.; Zaccaria, F.
1
1995
Crystallized Schrödinger cat states. Zbl 0897.58047
Castaños, 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 0988.17500
Man’ko, V. I.; Marmo, G.; Vitale, P.; Zaccaria, F.
19
1994
New relations for two-dimensional Hermite polynomials. Zbl 0815.33004
Dodonov, V. V.; Man’ko, V. I.
5
1994
Noether’s theorem and time-dependent quantum invariants. Zbl 0846.70014
Castaños, O.; López-Peña, R.; Man’ko, V. I.
2
1994
...and 14 more Documents
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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
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Cited in 63 Serials

30 Physics Letters. A
26 Journal of Mathematical Physics
24 International Journal of Theoretical Physics
22 Theoretical and Mathematical Physics
21 International Journal of Geometric Methods in Modern Physics
10 Quantum Information Processing
8 Reports on Mathematical Physics
7 International Journal of Quantum Information
6 Open Systems & Information Dynamics
6 Lobachevskii Journal of Mathematics
5 Journal of Mathematical Sciences (New York)
5 Foundations of Physics
4 International Journal of Modern Physics A
4 General Relativity and Gravitation
4 Chaos
4 Journal of Modern Optics
4 Journal of Physics A: Mathematical and Theoretical
4 Advances in Mathematical Physics
3 Physica A
3 The European Physical Journal B. 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. Seriya Fiziko-Matematicheskie Nauki
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 Physical Review A, Third Series
1 Quanta
1 Nanoscale Systems: Mathematical Modeling, Theory and Applications
1 Cogent Mathematics
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Cited in 45 Fields

213 Quantum theory (81-XX)
29 Differential geometry (53-XX)
25 Nonassociative rings and algebras (17-XX)
25 Information and communication theory, circuits (94-XX)
18 Topological groups, Lie groups (22-XX)
17 Partial differential equations (35-XX)
16 Statistical mechanics, structure of matter (82-XX)
13 Functional analysis (46-XX)
13 Mechanics of particles and systems (70-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Special functions (33-XX)
10 Statistics (62-XX)
8 Numerical analysis (65-XX)
7 Integral transforms, operational calculus (44-XX)
7 Operator theory (47-XX)
7 Optics, electromagnetic theory (78-XX)
7 Relativity and gravitational theory (83-XX)
5 Group theory and generalizations (20-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Probability theory and stochastic processes (60-XX)
4 Algebraic geometry (14-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Combinatorics (05-XX)
3 Associative rings and algebras (16-XX)
3 Ordinary differential equations (34-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Computer science (68-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Operations research, mathematical programming (90-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)

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