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Shirokov Maxim Evgenievich
(recent publications)
| by years | scientific publications | by types |



   2021
1. S. W. Weis, M. E. Shirokov, “Extreme points of the set of quantum states with bounded energy”, Russian Math. Surveys, 76:1 (2021), 190–192  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
2. M. E. Shirokov, “On Lower Semicontinuity of the Quantum Conditional Mutual Information and Its Corollaries”, Proc. Steklov Inst. Math., 313 (2021), 203–227  mathnet  crossref  crossref  isi  scopus
3. M. E. Shirokov, “On Quantum States with a Finite-Dimensional Approximation Property”, Lobachevskii Journal of Mathematics, 42:10 (2021), 2437–2454 , arXiv: 2103.09626  crossref
4. Stephan Weis, Maksim Shirokov, “The face generated by a point, generalized affine constraints, and quantum theory”, J. Convex Anal., 28:3 (2021), 847–870 , arXiv: 2003.14302  mathnet;
5. M. E. Shirokov, “Uniform continuity bounds for characteristics of multipartite quantum systems”, J. Math. Phys., 62:9 (2021), 92206 , 31 pp., arXiv: 2007.00417  mathnet  crossref  scopus;
6. M. E. Shirokov, “Strong* convergence of quantum channels”, Quantum Inf. Process., 20 (2021), 145 , 16 pp., arXiv: 1802.05632  mathnet  crossref  isi  scopus;

   2020
7. M. E. Shirokov, “Advanced Alicki–Fannes–Winter method for energy-constrained quantum systems and its use”, Quantum Inf. Process., 19 (2020), 164 , 33 pp., arXiv: 1907.02458  mathnet  crossref  mathscinet  isi  scopus (cited: 2);
8. M. E. Shirokov, “Operator $E$-norms and their use”, Sb. Math., 211:9 (2020), 1323–1353  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
9. M. E. Shirokov, “Strong convergence of quantum channels: Continuity of the Stinespring dilation and discontinuity of the unitary dilation”, J. Math. Phys., 61 (2020), 82204 , 15 pp., arXiv: 1712.03219  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2);
10. M. E. Shirokov, “On extension of quantum channels and operations to the space of relatively bounded operators”, Lobachevskii J. Math., 41:4 (2020), 714–727 , arXiv: 1903.06086  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  scopus (cited: 2);
11. M. E. Shirokov, A. V. Bulinski, “On Quantum Channels and Operations Preserving Finiteness of the von Neumann Entropy”, Lobachevskii J. Math., 41:12 (2020), 2383–2396 , arXiv: 2004.03582  mathnet  crossref  isi  elib  scopus;

   2019
12. M. E. Shirokov, “Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy”, J. Phys. A, 52:1 (2019), 014001  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 10)
13. M. E. Shirokov, “Upper bounds for the Holevo quantity and their use”, Problems Inform. Transmission, 55:3 (2019), 201–217  mathnet  crossref  crossref  crossref  mathscinet  isi  elib  elib  scopus
14. M. E. Shirokov, “On completion of the cone of completely positive linear maps with respect to the energy-constrained diamond norm”, Lobachevskii J. Math., 40:10 (2019), 1549–1568 , arXiv: 1810.10922  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 2)
15. M. E. Shirokov, A. S. Holevo, “Energy-constrained diamond norms and quantum dynamical semigroups”, Lobachevskii J. Math., 40:10 (2019), 1569–1586  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2);
16. V. Yu. Protasov, M. E. Shirokov, “On Mutually Inverse Transforms of Functions on a Half-Line”, Dokl. Math., 100:3 (2019), 560–563  mathnet  crossref  crossref  isi  elib  scopus (cited: 1)  scopus (cited: 1)

   2018
17. G. G. Amosov, Al. V. Bulinski, An. V. Bulinski, V. M. Buchstaber, I. A. Ibragimov, V. P. Maslov, A. Ya. Helemskii, A. M. Chebotarev, M. E. Shirokov, A. N. Shiryaev, “Alexander Semenovich Holevo (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1131–1136  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
18. M. E. Shirokov, “On the Energy-Constrained Diamond Norm and Its Application in Quantum Information Theory”, Problems Inform. Transmission, 54:1 (2018), 20–33 , arXiv: 1706.00361  mathnet  crossref  mathscinet  isi (cited: 27)  elib  scopus (cited: 26)
19. Noah Davis, Maksim E. Shirokov, Mark M. Wilde, “Energy-constrained two-way assisted private and quantum capacities of quantum channels”, Phys. Rev. A, 97:6 (2018), 62310 , 31 pp., arXiv: 1801.08102  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 8)
20. M. E. Shirokov, “Uniform finite-dimensional approximation of basic capacities of energy-constrained channels”, Quantum Inf. Process., 17 (2018), 322 , 29 pp., arXiv: 1707.05641  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 6)
21. M. E. Shirokov, “Adaptation of the Alicki–Fannes–Winter method for the set of states with bounded energy and its use”, Rep. Math. Phys., 81:1 (2018), 81–104  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 9)

   2017
22. 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  adsnasa  isi (cited: 3)  elib  scopus (cited: 2)
23. 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  mathscinet  isi (cited: 22)  scopus (cited: 22)

   2019
24. M. E. Shirokov, A. V. Bulinski, “Lower estimates for distances from a given quantum channel to certain classes of quantum channels”, Journal of Mathematical Sciences, 241:2 (2019), 237–244  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   2016
25. 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  adsnasa  isi (cited: 16)  elib  elib  scopus (cited: 16)
26. M. E. Shirokov, “Squashed entanglement in infinite dimensions”, J. Math. Phys., 57:3 (2016), 32203 , 22 pp., arXiv: 1507.08964  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  elib  scopus (cited: 10)
27. 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  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
28. 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 (cited: 1)  elib  scopus (cited: 1)

   2015
29. M. E. Shirokov, “On quantum zero-error capacity”, Russian Math. Surveys, 70:1 (2015), 176–178  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib  elib  scopus (cited: 2)
30. 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  zmath  adsnasa  isi (cited: 16)  elib (cited: 4)  scopus (cited: 17)
31. 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 (cited: 1)  elib  elib  scopus (cited: 1)
32. 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 (cited: 2)  elib  scopus (cited: 2)

   2016
33. 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
34. 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  zmath  isi (cited: 6)  elib (cited: 3)  scopus

   2014
35. 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)
36. 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: 6)  elib (cited: 3)  scopus (cited: 6)

   2013
37. 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: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
38. 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: 4)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)
39. 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: 12)  elib (cited: 4)  scopus (cited: 11)
40. 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: 4)  scopus (cited: 4)
41. 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
42. M. E. Shirokov, “Stability of convex sets and applications”, Izv. Math., 76:4 (2012), 840–856  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
43. 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  mathscinet  isi (cited: 14)  elib (cited: 6)  scopus (cited: 12)

   2011
44. 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: 2)  elib  elib  scopus (cited: 2)
45. M. E. Shirokov, “Entropy reduction of quantum measurements”, J. Math. Phys., 52:5 (2011), 052202 , 18 pp., arXiv: 1011.3127  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  elib (cited: 7)  scopus (cited: 12)
46. M. E. Shirokov, “O svoistvakh veroyatnostnykh mer na mnozhestve kvantovykh sostoyanii”, Trudy MFTI, 3:1 (2011), 162–167 , arXiv: math-ph/0607019  elib

   2010
47. 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: 13)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 13)
48. 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
49. 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: 14)  elib (cited: 8)  scopus (cited: 16)
50. M. E. Shirokov, “Continuity of the von Neumann entropy”, Comm. Math. Phys., 296:3 (2010), 625–654 , arXiv: 0904.1963  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  elib (cited: 12)  scopus (cited: 18)


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