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Shirokov Maxim Evgenievich
(full list of publications)
| by years | scientific publications | by types |



   2017
1. M. E. Shirokov, A. S. Holevo, “On lower semicontinuity of the entropic disturbance and its applications in quantum information theory”, Izv. Math., 81:5 (2017), 1044–1060  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
2. M. E. Shirokov, A. V. Bulinski, “Lower estimates for distances from a given quantum channel to certain classes of quantum channels”, Quantum computing, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 125–131 https://arxiv.org/abs/1705.04223  mathnet
3. M. E. Shirokov, “Tight uniform continuity bounds for the quantum conditional mutual information, for the Holevo quantity, and for capacities of quantum channels”, J. Math. Phys., 58:10 (2017), 102202 , 29 pp., arXiv: 1512.09047  mathnet  crossref  isi (cited: 1)  scopus

   2016
4. M. E. Shirokov, “Measures of correlations in infinite-dimensional quantum systems”, Sb. Math., 207:5 (2016), 724–768 , arXiv: 1506.06377  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 2)
5. M. E. Shirokov, “Squashed entanglement in infinite dimensions”, J. Math. Phys., 57:3 (2016), 32203 , 22 pp., arXiv: 1507.08964  mathnet  crossref  mathscinet (cited: 2)  zmath  isi (cited: 3)  elib  scopus (cited: 3)
6. M. E. Shirokov, “On characterization of positive maps preserving continuity of the von Neumann entropy”, Russian Math. Surveys, 71:5 (2016), 965–966 , arXiv: 1704.01905  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
7. M. E. Shirokov, “Estimates for discontinuity jumps of information characteristics of quantum systems and channels”, Problems of Information Transmission, 52:3 (2016), 239–264 , arXiv: 1602.05930  mathnet  crossref  mathscinet  isi  elib  scopus

   2015
8. M. E. Shirokov, “On quantum zero-error capacity”, Russian Math. Surveys, 70:1 (2015), 176–178  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib  elib  scopus (cited: 2)
9. M. E. Shirokov, T. Shulman, “On superactivation of zero-error capacities and reversibility of a quantum channels”, Comm. Math. Phys., 335:3 (2015), 1159–1179 , arXiv: 1309.2610  mathnet (cited: 2)  crossref  mathscinet (cited: 2)  zmath  adsnasa  isi (cited: 4)  elib (cited: 4)  scopus (cited: 6)
10. A. S. Holevo, M. E. Shirokov, “On the Gain of Entanglement Assistance in the Classical Capacity of Quantum Gaussian Channels”, Math. Notes, 97:6 (2015), 974–977  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
11. M. E. Shirokov, “On multipartite superactivation of quantum channel capacities”, Problems Inform. Transmission, 51:2 (2015), 87–102 , arXiv: 1411.5386  mathnet  crossref  mathscinet  isi  elib  scopus

   2016
12. A. S. Holevo, M. E. Shirokov, “Criterion of weak compactness for families of generalized quantum ensembles and its applications”, Theory Probab. Appl., 60:2 (2016), 320–325  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2015
13. M. E. Shirokov, “On channels with positive quantum zero-error capacity having vanishing $n$-shot capacity”, Quantum Inf. Process., 14:8 (2015), 3057–3074 , arXiv: 1407.8524  mathnet (cited: 1)  crossref  mathscinet (cited: 3)  zmath  isi (cited: 2)  elib (cited: 3)  scopus

   2014
14. M. E. Shirokov, “Criteria for equality in two entropic inequalities”, Sb. Math., 205:7 (2014), 1045–1068 , arXiv: 1302.5336  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
15. M. E. Shirokov, T. V. Shulman, “On superactivation of one-shot zero-error quantum capacity and the related property of quantum measurements”, Problems Inform. Transmission, 50:3 (2014), 232–246 , arXiv: 1312.3586  mathnet  crossref  mathscinet  isi (cited: 5)  elib (cited: 3)  scopus (cited: 4)

   2013
16. M. E. Shirokov, “Schmidt Number and Partially Entanglement-Breaking Channels in Infinite-Dimensional Quantum Systems”, Math. Notes, 93:5 (2013), 766–779 , arXiv: 1110.4363  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
17. M. E. Shirokov, “Reversibility conditions for quantum channels and their applications”, Sb. Math., 204:8 (2013), 1215–1237 , arXiv: 1203.0262  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
18. A. S. Holevo, M. E. Shirokov, “On classical capacities of infinite-dimensional quantum channels”, Problems Inform. Transmission, 49:1 (2013), 15–31 , arXiv: 1210.6926  mathnet  crossref  isi (cited: 5)  elib (cited: 4)  scopus (cited: 4)
19. M. E. Shirokov, “Reversibility of a quantum channel: General conditions and their applications to Bosonic linear channels”, J. Math. Phys., 54:11 (2013), 112201 , 19 pp., arXiv: 1212.2354  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 3)
20. M. E. Shirokov, T. V. Shulman, On superactivation of one-shot zero-error quantum capacity and the related property of quantum measurements, 2013 , 16 pp., arXiv: 1312.3586

   2012
21. M. E. Shirokov, “Stability of convex sets and applications”, Izv. Math., 76:4 (2012), 840–856  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
22. M. E. Shirokov, “Conditions for coincidence of the classical capacity and entanglement-assisted capacity of a quantum channel”, Problems Inform. Transmission, 48:2 (2012), 85–101 , arXiv: 1105.1040  mathnet  crossref  isi (cited: 10)  elib (cited: 6)  scopus (cited: 9)

   2011
23. M. E. Shirokov, “The continuity of the output entropy of positive maps”, Sb. Math., 202:10 (2011), 1537–1564 , arXiv: 1002.0230  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
24. M. E. Shirokov, “Entropy reduction of quantum measurements”, J. Math. Phys., 52:5 (2011), 052202 , 18 pp., arXiv: 1011.3127  crossref  mathscinet (cited: 4)  adsnasa  isi (cited: 8)  elib (cited: 7)  scopus (cited: 8)
25. M. E. Shirokov, “O svoistvakh veroyatnostnykh mer na mnozhestve kvantovykh sostoyanii”, Trudy MFTI, 3:1 (2011), 162–167 , arXiv: math-ph/0607019  elib

   2010
26. M. E. Shirokov, “On properties of the space of quantum states and their application to the construction of entanglement monotones”, Izv. Math., 74:4 (2010), 849–882 , arXiv: 0804.1515  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 6)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)
27. M. E. Shirokov, “A Property of the Output Entropy of a Positive Map of Spaces of Nuclear Operators”, Math. Notes, 87:3 (2010), 449–451 , arXiv: 1002.0230  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
28. A. S. Holevo, M. E. Shirokov, “Mutual and coherent information for infinite-dimensional quantum channels”, Problems Inform. Transmission, 46:3 (2010), 201–218 , arXiv: 1004.2495  mathnet  crossref  mathscinet  isi (cited: 9)  elib (cited: 8)  scopus (cited: 10)
29. M. E. Shirokov, “Continuity of the von Neumann entropy”, Comm. Math. Phys., 296:3 (2010), 625–654 , arXiv: 0904.1963  crossref  mathscinet (cited: 6)  zmath  adsnasa  isi (cited: 13)  elib (cited: 12)  scopus (cited: 14)

   2009
30. V. Yu. Protasov, M. E. Shirokov, “Generalized compactness in linear spaces and its applications”, Sb. Math., 200:5 (2009), 697–722 , arXiv: 1002.3610  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 6)
31. M. E. Shirokov, “On Channels with Finite Holevo Capacity”, Theory Probab. Appl., 53:4 (2009), 648–662 , arXiv: quant-ph/0602073  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus

   2008
32. M. E. Shirokov, “Ob odnom klasse vypuklykh mnozhestv”, Sovremennye problemy fundamentalnoi i prikladnoi matematiki, MFTI, M., 2008, 193–203
33. M. E. Shirokov, A. S. Holevo, “On Approximation of Infinite-Dimensional Quantum Channels”, Problems Inform. Transmission, 44:2 (2008), 73–90 , arXiv: 0711.2245  mathnet  crossref  mathscinet  isi (cited: 14)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 14)
34. M. E. Shirokov, “Characterization of convex $\mu$-compact sets”, Russian Math. Surveys, 63:5 (2008), 981–982 , arXiv: 1004.3792  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2007
35. M. E. Shirokov, “Entropy characteristics of subsets of states. II”, Izv. Math., 71:1 (2007), 181–218 , arXiv: quant-ph/0510073  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
36. M. E. Shirokov, “On the Strong CE-Property of Convex Sets”, Math. Notes, 82:3 (2007), 395–409  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)

   2008
37. M. E. Shirokov, “On properties of quantum channels related to their classical capacity”, Theory Probab. Appl., 52:2 (2008), 250–276 , arXiv: quant-ph/0411091  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 1)

   2006
38. M. E. Shirokov, “The Holevo capacity of infinite dimensional channels and the additivity problem”, Comm. Math. Phys., 262:1 (2006), 137–159 , arXiv: quant-ph/0408009  crossref  mathscinet (cited: 12)  zmath  adsnasa  isi (cited: 20)  elib (cited: 20)  scopus (cited: 19)
39. M. E. Shirokov, “Entropy characteristics of subsets of states. I”, Izv. Math., 70:6 (2006), 1265–1292 , arXiv: quant-ph/0510073  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 14)  elib (cited: 11)  elib (cited: 11)  scopus (cited: 13)
40. M. E. Shirokov, “On the Structure of Optimal Sets for a Quantum Channel”, Problems Inform. Transmission, 42:4 (2006), 282–297 , arXiv: quant-ph/0402178  mathnet  crossref  mathscinet  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
41. M. E. Shirokov, “Superadditivity of the convex closure of the output entropy of a quantum channel”, Russian Math. Surveys, 61:6 (2006), 1186–1188 , arXiv: quant-ph/0608090  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus

   2005
42. R. F. Werner, A. S. Holevo, M. E. Shirokov, “On the notion of entanglement in Hilbert spaces”, Russian Math. Surveys, 60:2 (2005), 359–360 , arXiv: quant-ph/0504204  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  elib  scopus (cited: 22)
43. A. S. Holevo, M. E. Shirokov, “Continuous ensembles and the capacity of infinite-dimensional quantum channels”, Theory Probab. Appl., 50:1 (2005), 86–98 , arXiv: quant-ph/0408176  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 25)  elib (cited: 22)  elib (cited: 22)  scopus (cited: 19)

   2004
44. A. S. Holevo, M. E. Shirokov, “On Shor's channel extension and constrained channels”, Comm. Math. Phys., 249:2 (2004), 417–430 , arXiv: quant-ph/0306196  crossref  mathscinet (cited: 6)  zmath  adsnasa  isi (cited: 26)  elib (cited: 29)  scopus (cited: 27)
45. A. S. Holevo, M. E. Shirokov, “The additivity problem for constrained quantum channels”, Russian Math. Surveys, 59:2 (2004), 385–387 , arXiv: quant-ph/0306196  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
46. A. S. Dmitriev, M. E. Shirokov, “Vybor generatora dlya pryamokhaoticheskoi sistemy svyazi”, Radiotekhnika i elektronika, 49:7 (2004), 840–849  elib (cited: 16)

   2001
47. G. G. Amosov, A. V. Bulinski, M. E. Shirokov, “Regular Semigroups of Endomorphisms of von Neumann Factors”, Math. Notes, 70:5 (2001), 583–598  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 3)

   1999
48. M. E. Shirokov, “Mnogopolzovatelskaya sistema svyazi na khaoticheskikh nesuschikh”, Radiotekhnika i elektronika, 44:5 (1999), 583–590

   1997
49. A. S. Dmitriev, M. Shirokov, S. O. Starkov, “Chaotic synchronization in ensembles of coupled maps”, Special issue on chaos synchronization, control, and applications, IEEE Trans. Circuits Systems I Fund. Theory Appl., 44:10 (1997), 918–926  crossref  mathscinet (cited: 1)  isi (cited: 25)  elib (cited: 25)  scopus (cited: 27)

   1996
50. A. S. Dmitriev, S. O. Starkov, M. E. Shirokov, “Sinkhronizatsiya ansamblei svyazannykh otobrazhenii”, Izv. vuzov. Prikladnaya nelineinaya dinamika, 4:4-5 (1996), 40–58

   1995
51. A. S. Dmitriev, M. E. Shirokov, “Sinkhronizatory khaoticheskikh signalov”, Radiotekhnika i elektronika, 40:11 (1995), 1667–1676
52. A. S. Dmitriev, M. E. Shirokov, “Dinamika sinkhronizatora dlya khaoticheskikh signalov s nepreryvnym vremenem”, Radiotekhnika i elektronika, 40:11 (1995), 1660–1666

   1994
53. A. S. Dmitriev, S. O. Starkov, M. E. Shirokov, “Struktura periodicheskikh orbit khaoticheskoi avtokolebatelnoi sistemy, opisyvaemoi raznostnymi uravneniyami 2-go poryadka”, Radiotekhnika i elektronika, 39:9 (1994), 1392–1397
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