2016
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- 2016
- Squashed entanglement in infinite dimensions//
J. Math. Phys., 57:3 (2016), 032203 , 22 pp (pdf file).
- Measures of quantum correlations in infinite-dimensional systems//
Sbornik:Mathematics, 2016, 207 (5), DOI:10.1070/SM8561.
- 2015
-
On channels with positive quantum zero-error capacity having vanishing
n-shot capacity// Quantum Inf. Process., 14:8 (2015), 3057–3074
(pdf file).
-
On superactivation of zero-error
capacities and reversibility of a quantum channels// Comm. Math. Phys., 335:3 (2015), 1159–1179
(with ñ T. V. Shulman) (pdf file).
- On multipartite superactivation
of quantum channel capacities// Problems Inform. Transmission, 51:2 (2015), 87–102
(pdf file).
- On the Gain of Entanglement Assistance in
the Classical Capacity of Quantum Gaussian Channels// Math. Notes, 97:6 (2015), 974–977
(with ñ A. S. Holevo) (pdf file).
- Criterion of weak compactness for families of
generalized quantum ensembles and its applications// Theory Probab. Appl., 60:2 (2016), 320–325
(with ñ A. S. Holevo).
- 2014
-
Criteria for equality in two entropic inequalities”, Sbornik:Mathematics, 205:7 (2014), 1045–1068
(pdf file).
- On superactivation of one-shot zero-error quantum capacity
and the related property of quantum measurements// Problems Inform. Transmission, 50:3 (2014), 232–246
(with ñ T. V. Shulman) (pdf file).
- 2013
-
Reversibility of a quantum channel: General conditions and their applications
to Bosonic linear channels// Journal of Mathematical Physics,
54:11 (2013), 112201, 19 pp.
(pdf file, 540 KB).
-
Reversibility conditions for quantum channels
and their applications// Sb. Math., 204:8 (2013), 1215–1237
(pdf file, 700 KB).
-
Schmidt Number and Partially Entanglement-Breaking Channels
in Infinite-Dimensional Quantum Systems", Math. Notes, 93:5 (2013),
766–779 (pdf file, 620 KB).
-
On classical capacities of infinite-dimensional quantum channels//
Problems Inform. Transmission, 49:1 (2013), 15–31
(with ñ A. S. Holevo) (pdf file, 300 KB).
-
On singular Bosonic linear channels //
arXiv:1302.6879
(pdf file, 150 KB).
- 2012
-
Conditions for coincidence of the classical capacity and
entanglement-assisted capacity of a quantum
channels//Problems of Information Transmission, 2012, V. 48, N. 2,
p. 3–20 (pdf file, 280 KB).
-
Stability of convex sets and applications//
Izvestiya Mathematics, 2012, V. 76, N. 4, p. 207–224
(pdf file, 590 KB).
- 2011
-
Entropy reduction of quantum measurements //
Journal of Mathematical Physics, 52:5, 052202 (pdf file, 280 KB).
-
The continuity of the output entropy of positive maps //
Sbornik:Mathematics, 202:10, 1537-1564 (pdf file, 490 KB).
- 2010
- Mutual and coherent information for infinite-dimensional
quantum channels //
Problems of Information Transmission, 2010, V. 46, N. 3,
p. 201–218 (with ñ A. S. Holevo) (pdf file, 350 KB).
- On properties of the space of quantum states
and their application to the construction of entanglement monotones
// Izvestiya Mathematics, 2010, V. 74, N. 4, p. 849–882
(pdf file, 791 KB).
- Continuity of the von Neumann entropy //
Comm. Math. Phys., 2010, v. 296, p. 625–654
(pdf file, 450 KB).
-
Continuity condition for concave functions on convex $\mu$-compact sets
and its applications in quantum physics //
arXiv:1006.4155(pdf ä ©«, 330 KB).
- A property of the output entropy of a positive map of
spaces of trace-class operators // Mathematical Notes, 2010, V. 87, ¹ 3, p. 449–451
(pdf file, 560 KB).
- 2009
- Generalized compactness in linear spaces and its applications //
Sbornik:Mathematics, 2009, V. 200, ¹ 5,
p. 697–722 (with ñ V. Yu. Protasov) (pdf file, 480 KB).
- 2008
- Characterization of convex $\mu$-compact sets //
Russian Mathematical Surveys, 2008, V. 63, ¹ 5, p. 981–982
(pdf file, 250 KB).
- On approximation of infinite-dimensional quantum channels //
Problems of Information Transmission, 2008, V. 44, ¹ 2,
p. 73–90 (with ñ A. S. Holevo) (pdf file, 510 KB).
- On channels with finite Holevo capacity //
Theory Probab.Appl., 2008, V. 53, ¹ 4, p. 648–662.
- 2007
- On the strong CE-property of convex sets // Mathematical Notes, 2007, V. 82, ¹ 3, p. 395–409
(pdf file, 740 KB).
- On properties of quantum channels related to the classical capacity
// Theory of Probability and its Applications, 2007, V. 52, ¹ 2,
p. 000–000 (pdf file, 775 KB).
- Entropic characteristics of subsets of states II // Izvestiya Mathematics, 2007, V. 71, ¹ 1, p. 181–218
(pdf file, 627 KB).
- On approximation of quantum channels // arXiv:quant-ph/0711.2245
(with ñ A. S. Holevo) (pdf file, 257 KB).
- 2006
- The Holevo capacity of infinite dimensional channels and the
additivity problem // Comm. Math. Phys., 2006, v. 262, p. 137–159.(pdf file, 253 KB).
- On superadditivity of the convex closure of the output
entropy of quantum channel// Russian Mathematical Surveys, 2006, V. 61, ¹ 6, ñ. 1186–1188
(pdf file, 139 KB).
- Entropic characteristics of subsets of states I // Izvestiya Mathematics, 2006,
V. 70, ¹ 6, p. 1265–1292 (pdf file, 418 KB).
- On the structure of the optimal sets of a quantum channel //
Problems of Information Transmission, 2006, V. 42, ¹ 4, p. 282–297.
-
On channels with finite Holevo capacity //
arXiv:quant-ph/0602073(pdf file, 233 KB).
- Properties of probability measures on the set of quantum states and their applications //
arXiv:math-ph/0607019(pdf file, 223 KB).
- The Convex Closure of the Output Entropy of Infinite Dimensional Channels and
the Additivity Problem //arXiv:quant-ph/0608090(pdf file, 254 KB).
- 2005
- Continuous ensembles and the capacity of infinite dimensional quantum channels //
Theory of Probability and its Applications, 2005, V. 50, ¹ 1,
p. 86–114 (with ñ A. S. Holevo) (pdf file, 270 KB).
- On the notion of entanglement in Hilbert spaces //
Russian Mathematical Surveys, 2005, 2005, V. 60, ¹ 2, p. 359–360
(with ñ A. S. Holevo and R. F. Werner)
(pdf file, 122 KB).
- Continuous ensembles and the capacity of infinite dimensional
quantum channels// Obozrenie prikladnoj i promishlennoj matematiki, 2005, v. 12, N. 4,
p. 1225–1226
(with À. S. Holevo) (in Russian).
-
Separability and Entanglement-Breaking in Infinite Dimensions//
arXiv:quant-ph/0504204 (with ñ A. S.
Holevo and R. F. Werner)
(pdf file, 140 KB).
- 2004
- On Shor's channel extension and constrained channels //
Comm. Math. Phys., 2004, v. 249, p. 417–430
(with ñ A. S. Holevo).(pdf file, 188 KB).
- Additivity problem for constrained quantum channels //
Russian Mathematical Surveys, 2004, V. 59, ¹ 2, p. 385–387
(with ñ A. S. Holevo)
(pdf file, 122 KB).
- On continuity of the classical capacity of a quantum channel// Nekotorie problemi
fundamental'noj i prikladnoj matematiki, MIPT, 2004,
p. 155–160 (in Russian).
- Choosing oscillator for direct chaotic communications // Radiotekhnika i
elektronika, 2004, V. 49, ¹ 7, p. 840–849
(with A. S. Dmitriev) (in Russian).
- 2003
-
On the additivity conjecture for channels with arbitrary constraints//
arXiv:quant-ph/0308168(pdf file, 233 KB).
- 2001
- Regular Semigroups of Endomorphisms
of von Neumann Factors //
Mathematical Notes, 2001, V. 70, ¹ 5, p. 583–598
(with G. G. Amosov and A. V. Bulinskii)
(pdf file, 263 KB).
- 1999
- Multiple-access communication circuit with chaotic carriers //
Radiotekhnika i elektronika, 1999, V. 44, ¹ 5, p. 583–590 (in Russian).
- Limit efficiency of cleaning chaotic signals off noise //
Radiotekhnika i elektronika, 1999, V. 44, ¹ 9, p. 1120–1130
(with A. S. Dmitriev, G. A. Kassian and
A. D. Khilinsky) (in Russian).
- 1997
- Chaotic Synchronization in Ensembles of Coupled Maps //
IEEE Transactions on Curcuit and Systems, 1997, v. 44, p. 918–926
(with A. S. Dmitriev and S. O. Starkov)
(in Russian).
- 1996
- Synchronization of ensembles of coupled maps //
Izv. VUZov, Prikladnaya nelineinaya dinamika, 1996, V. 4,
¹ 4–5,p. 40–58
(with A. S. Dmitriev and S. O. Starkov)
(in Russian).
- 1995
- Synchronizators of chaotic signals //Radiotekhnika i elektronika,
1995, V. 40, ¹ 11, p. 1667–1676
(with A. S. Dmitriev).
- Dymanics of synchronizator for continuous time chaotic signals //
Radiotekhnika i elektronika, 1995, V. 40, ¹ 11, p. 1660–1666
(with A. S. Dmitriev) (in Russian).
- 1994
- Structure of periodic orbits of a chaotic oscillating system described by 2nd order difference equations //
Radiotekhnika i elektronika, 1994, V. 39, ¹ 9, p. 1392
(with A. S. Dmitriev and S. O. Starkov)
(in Russian).
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