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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  elib
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, 29pp , arXiv: 1512.09047  crossref  isi  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: 1)  elib  elib  scopus (cited: 1)
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  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: 2)  elib  elib  scopus (cited: 1)
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
12. A. S. Kholevo, M. E. Shirokov, “Kriterii slaboi kompaktnosti dlya semeistv obobschennykh kvantovykh ansamblei i ego sledstviya”, TVP, 60:2 (2015), 402–408  mathnet  crossref  mathscinet  zmath  elib; 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  crossref  mathscinet  zmath  isi  elib  scopus
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: 4)  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: 4)  elib (cited: 4)  scopus (cited: 3)
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: 2)  scopus (cited: 2)
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: 9)  elib (cited: 6)  scopus (cited: 8)

   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: 5)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
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)

   2008
31. M. E. Shirokov, “O kanalakh s konechnoi $\chi$-propusknoi sposobnostyu”, TVP, 53:4 (2008), 732–750 , arXiv: quant-ph/0602073  mathnet (cited: 1)  crossref  mathscinet (cited: 3)  zmath  elib; M. E. Shirokov, “On Channels with Finite Holevo Capacity”, Theory Probab. Appl., 53:4 (2009), 648–662 , arXiv: quant-ph/0602073  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus
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: 12)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 13)
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)
37. M. E. Shirokov, “O svoistvakh kvantovykh kanalov, svyazannykh s klassicheskoi propusknoi sposobnostyu”, TVP, 52:2 (2007), 301–335 , arXiv: quant-ph/0411091  mathnet (cited: 4)  crossref  mathscinet (cited: 2)  zmath  elib (cited: 3); 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  crossref  mathscinet  zmath  isi (cited: 4)  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: 10)  elib  scopus (cited: 21)
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: 24)  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: 26)

   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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