Persons: Shirokov, Maksim Evgenievich

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Shirokov, Maksim Evgenievich

Statistics
in MathSciNet:	71 (70)
in zbMATH:	45 (44)
in Web of Science:	66 (65)
in Scopus:	68 (68)

Professor of Russian Academy of Sciences

Head Scientist Researcher

Doctor of physico-mathematical sciences (2007)

Speciality:

01.01.05 (Probability theory and mathematical statistics)

E-mail:

Website:

https://www.mi.ras.ru/~msh

Keywords:

infinite-dimensional quantum systems, strong convergence of quantum channels, strong* convergence of quantum channels, energy-constrained diamond norms, operator E-norms, uniform continuity bounds, quantum zero-error capacity, entanglement monotone, convex stable sets, mu-compact sets

UDC:

517.982, 517.982.25, 519.2, 519.248.3, 519.722, 621.391.1, 519.7

Subject:

Quantum information theory. Mathematical physics. Convex analysis.

Main publications:

M. E. Shirokov, “The Holevo capacity of infinite dimensional channels and the additivity problem”, Comm. Math. Phys., 262 (2006), 137–159
M.E. Shirokov, “Continuity of the von Neumann entropy”, Comm. Math. Phys., 296:3 (2010), 625–654
V. Yu. Protasov, M. E. Shirokov, “Generalized compactness in linear spaces and its applications”, Sbornik:Mathematics, 200:5 (2009), 697–722
M. E. Shirokov, “Strong convergence of quantum channels: Continuity of the Stinespring dilation and discontinuity of the unitary dilation”, Journal of Mathematical Physics, 61 (2020), 82204
M. E. Shirokov, “On channels with positive quantum zero-error capacity having vanishing n-shot capacity”, Quantum Inf. Process., 14:8 (2015), 3057–3074

https://www.mathnet.ru/eng/person14184

https://scholar.google.com/citations?user=u63q0scAAAAJ&hl=en

https://zbmath.org/authors/ai:shirokov.m-e

https://mathscinet.ams.org/mathscinet/MRAuthorID/628146

https://elibrary.ru/author_items.asp?authorid=10476

https://www.webofscience.com/wos/author/record/K-8365-2013

https://www.scopus.com/authid/detail.url?authorId=7004175647

https://www.researchgate.net/profile/M_Shirokov

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2025
1.	M. E. Shirokov, “The Alicki–Fannes–Winter technique in the quasi-classical settings: advanced version and its applications”, Lobachevskii J. Math., 46:6 (2025), 2632–2658

2024
2.	M. E. Shirokov, “On Local Continuity of Characteristics of Composite Quantum Systems”, Proc. Steklov Inst. Math., 324 (2024), 225–260
3.	G. G. Amosov, M. E. Shirokov, “Alexander Semenovich Holevo: On the occasion of his 80th birthday”, Proc. Steklov Inst. Math., 324 (2024), 1–3
4.	M. E. Shirokov, “Lower semicontinuity of relative entropy disturbance and its consequences”, Sb. Math., 215:11 (2024), 1549–1581
5.	M. E. Shirokov, “Compactness criterion for families of quantum operations in the strong convergence topology and its applications”, Lobachevskii J. Math., 45:6 (2024), 2585–2606
6.	Ludovico Lami, Maksim Shirokov, “Continuity of the relative entropy of resource”, Int. J. Quantum Inf., 22:5 (2024), 2440009 , 14 pp.	3 ^[x]
7.	Nekommutativnyi analiz i kvantovaya informatika, Sbornik statei. K 80-letiyu akademika Aleksandra Semenovicha Kholevo, Trudy MIAN, 324, ed. M. E. Shirokov, G. G. Amosov, MIAN, M., 2024 , 292 pp.

2023
8.	Ludovico Lami, Maksim E. Shirokov, “Attainability and Lower Semi-continuity of the Relative Entropy of Entanglement and Variations on the Theme”, Ann. Henri Poincaré, 24 (2023), 4069–4137	7 ^[x]
9.	M. E. Shirokov, “Local lower bounds on characteristics of quantum and classical systems”, Lobachevskii J. Math., 44:6 (2023), 2169–2191	1 ^[x]
10.	M. E. Shirokov, “Correlation measures of a quantum state and information characteristics of a quantum channel”, J. Math. Phys., 64:11 (2023), 112201 , 51 pp., arXiv: 2304.05388	3 ^[x]
11.	M. E. Shirokov, “Quantifying continuity of characteristics of composite quantum systems”, Phys. Scr., 98:4 (2023), 042002 , 97 pp., arXiv: 2201.11477	10 ^[x]
12.	Maksim Shirokov, “Close-to-optimal continuity bound for the von Neumann entropy and other quasi-classical applications of the Alicki–Fannes–Winter technique”, Lett. Math. Phys., 113 (2023), 121 , 35 pp., arXiv: 2207.08791	4 ^[x]

2022
13.	M. E. Shirokov, “Convergence criterion for quantum relative entropy and its use”, Sb. Math., 213:12 (2022), 1740–1772
14.	M. E. Shirokov, “Optimal form of the Kretschmann–Schlingemann–Werner theorem for energy-constrained quantum channels and operations”, J. Math. Phys., 63:11 (2022), 112203 , 17 pp., arXiv: 1912.01678	3 ^[x]
15.	M. E. Shirokov, “Convergence conditions for the quantum relative entropy and other applications of the deneralized quantum Dini lemma”, Lobachevskii J. Math., 43:7 (2022), 1755–1777	3 ^[x]

2021
16.	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
17.	M. E. Shirokov, “On Lower Semicontinuity of the Quantum Conditional Mutual Information and Its Corollaries”, Proc. Steklov Inst. Math., 313 (2021), 203–227
18.	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
19.	M. E. Shirokov, “Uniform continuity bounds for characteristics of multipartite quantum systems”, J. Math. Phys., 62:9 (2021), 92206 , 31 pp., arXiv: 2007.00417	5 ^[x]
20.	M. E. Shirokov, “Strong* convergence of quantum channels”, Quantum Inf. Process., 20 (2021), 145 , 16 pp., arXiv: 1802.05632	2 ^[x]
21.	M. E. Shirokov, “On quantum states with a finite-dimensional approximation property”, Lobachevskii J. Math., 42:10 (2021), 2437–2454	1 ^[x]

2020
22.	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	14 ^[x]
23.	M. E. Shirokov, “Operator $E$-norms and their use”, Sb. Math., 211:9 (2020), 1323–1353
24.	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	13 ^[x]
25.	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	5 ^[x]
26.	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	7 ^[x]

2019
27.	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	20 ^[x]
28.	M. E. Shirokov, “Upper bounds for the Holevo quantity and their use”, Problems Inform. Transmission, 55:3 (2019), 201–217
29.	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	3 ^[x]
30.	M. E. Shirokov, A. S. Holevo, “Energy-constrained diamond norms and quantum dynamical semigroups”, Lobachevskii J. Math., 40:10 (2019), 1569–1586	4 ^[x]
31.	V. Yu. Protasov, M. E. Shirokov, “On Mutually Inverse Transforms of Functions on a Half-Line”, Dokl. Math., 100:3 (2019), 560–563

2018
32.	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
33.	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	19 ^[x]
34.	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	5 ^[x]
35.	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	15 ^[x]
36.	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

2017
37.	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
38.	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	46 ^[x]

2019
39.	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

2016
40.	M. E. Shirokov, “Measures of correlations in infinite-dimensional quantum systems”, Sb. Math., 207:5 (2016), 724–768 , arXiv: 1506.06377
41.	M. E. Shirokov, “Squashed entanglement in infinite dimensions”, J. Math. Phys., 57:3 (2016), 32203 , 22 pp., arXiv: 1507.08964	19 ^[x]
42.	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
43.	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

2015
44.	M. E. Shirokov, “On quantum zero-error capacity”, Russian Math. Surveys, 70:1 (2015), 176–178
45.	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	22 ^[x]
46.	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
47.	M. E. Shirokov, “On multipartite superactivation of quantum channel capacities”, Problems Inform. Transmission, 51:2 (2015), 87–102 , arXiv: 1411.5386

2016
48.	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

2015
49.	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	10 ^[x]

2014
50.	M. E. Shirokov, “Criteria for equality in two entropic inequalities”, Sb. Math., 205:7 (2014), 1045–1068 , arXiv: 1302.5336
51.	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

2013
52.	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
53.	M. E. Shirokov, “Reversibility conditions for quantum channels and their applications”, Sb. Math., 204:8 (2013), 1215–1237 , arXiv: 1203.0262
54.	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
55.	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	8 ^[x]
56.	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
57.	M. E. Shirokov, “Stability of convex sets and applications”, Izv. Math., 76:4 (2012), 840–856
58.	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

2011
59.	M. E. Shirokov, “The continuity of the output entropy of positive maps”, Sb. Math., 202:10 (2011), 1537–1564 , arXiv: 1002.0230
60.	M. E. Shirokov, “Entropy reduction of quantum measurements”, J. Math. Phys., 52:5 (2011), 052202 , 18 pp., arXiv: 1011.3127	22 ^[x]
61.	M. E. Shirokov, “O svoistvakh veroyatnostnykh mer na mnozhestve kvantovykh sostoyanii”, Trudy MFTI, 3:1 (2011), 162–167 , arXiv: math-ph/0607019

2010
62.	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
63.	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
64.	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
65.	M. E. Shirokov, “Continuity of the von Neumann entropy”, Comm. Math. Phys., 296:3 (2010), 625–654 , arXiv: 0904.1963	24 ^[x]

2009
66.	V. Yu. Protasov, M. E. Shirokov, “Generalized compactness in linear spaces and its applications”, Sb. Math., 200:5 (2009), 697–722 , arXiv: 1002.3610
67.	M. E. Shirokov, “On Channels with Finite Holevo Capacity”, Theory Probab. Appl., 53:4 (2009), 648–662 , arXiv: quant-ph/0602073

2008
68.	M. E. Shirokov, “Ob odnom klasse vypuklykh mnozhestv”, Sovremennye problemy fundamentalnoi i prikladnoi matematiki, MFTI, M., 2008, 193–203
69.	M. E. Shirokov, A. S. Holevo, “On Approximation of Infinite-Dimensional Quantum Channels”, Problems Inform. Transmission, 44:2 (2008), 73–90 , arXiv: 0711.2245
70.	M. E. Shirokov, “Characterization of convex $\mu$-compact sets”, Russian Math. Surveys, 63:5 (2008), 981–982 , arXiv: 1004.3792

2007
71.	M. E. Shirokov, “Entropy characteristics of subsets of states. II”, Izv. Math., 71:1 (2007), 181–218 , arXiv: quant-ph/0510073
72.	M. E. Shirokov, “On the Strong CE-Property of Convex Sets”, Math. Notes, 82:3 (2007), 395–409

2008
73.	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

2006
74.	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	35 ^[x]
75.	M. E. Shirokov, “Entropy characteristics of subsets of states. I”, Izv. Math., 70:6 (2006), 1265–1292 , arXiv: quant-ph/0510073
76.	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
77.	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

2005
78.	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
79.	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

2004
80.	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	29 ^[x]
81.	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
82.	A. S. Dmitriev, M. E. Shirokov, “Vybor generatora dlya pryamokhaoticheskoi sistemy svyazi”, Radiotekhnika i elektronika, 49:7 (2004), 840–849

2001
83.	G. G. Amosov, A. V. Bulinski, M. E. Shirokov, “Regular Semigroups of Endomorphisms of von Neumann Factors”, Math. Notes, 70:5 (2001), 583–598

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

1997
85.	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	29 ^[x]

1996
86.	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
87.	A. S. Dmitriev, M. E. Shirokov, “Sinkhronizatory khaoticheskikh signalov”, Radiotekhnika i elektronika, 40:11 (1995), 1667–1676
88.	A. S. Dmitriev, M. E. Shirokov, “Dinamika sinkhronizatora dlya khaoticheskikh signalov s nepreryvnym vremenem”, Radiotekhnika i elektronika, 40:11 (1995), 1660–1666

1994
89.	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

Presentations in Math-Net.Ru

1.	Оптимальный гамильтониан для квантового состояния с конечной энтропией фон Неймана M. E. Shirokov Seminar on Quantum Probability, Statistics, Information December 1, 2025 16:20
2.	Об оценках модуля непрерывности энтропии фон Неймана M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 24, 2025 16:20
3.	Operator $E$-norms and their applications M. E. Shirokov Steklov Mathematical Institute Seminar October 17, 2024 16:00
4.	Research on quantum information theory in MIAN supported by the RSF A. S. Holevo, M. E. Shirokov Steklov Mathematical Institute Seminar May 16, 2024 17:20
5.	Об относительной энтропии квантового ресурса M. E. Shirokov Seminar on Quantum Probability, Statistics, Information February 5, 2024 15:20
6.	Достижимость точной нижней грани в определении относительной энтропии сцепленности и ее следствия M. E. Shirokov Annual Session of Steklov Mathematical Institute (Best results 2023) November 15, 2023 17:25
7.	Lower semicontinuity of the relative entropy disturbance and its corollaries M. E. Shirokov III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 8, 2023 13:10
8.	Finite-dimensional approximation property of quantum states and its use M. E. Shirokov Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021 July 5, 2021 13:00
9.	Optimal form of the Kretschmann-SchlingemannWerner theorem for energy-constrained quantum channels and operations Maksim Shirokov Workshop "New Trends in Mathematical Physics" November 30, 2020 17:00
10.	Energy-constrained diamond norms and their applications in quantum information theory M. E. Shirokov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2019 November 20, 2019 14:45
11.	О расширении квантового канала на пространство относительно ограниченных операторов M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 14, 2019 13:00
12.	Strong convergence of quantum channels: continuity of the Stinespring dilation and discontinuity of the unitary dilation M. E. Shirokov International conference "Quantum information, statistics, probability" with a special session dedicated to A. S. Holevo's 75-th birthday September 12, 2018 12:45
13.	Операторные $Е$-нормы и их использование в квантовой теории информации M. E. Shirokov Seminar on Quantum Probability, Statistics, Information July 5, 2018 15:00
14.	Quantum channels: dilations and types of convergence M. E. Shirokov Steklov Mathematical Institute Seminar March 15, 2018 16:00
15.	О нормах полной ограниченности с энергетическим ограничением и их использовании в теории квантовых каналов M. E. Shirokov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS December 14, 2017 11:00
16.	Tight continuity bounds for information charac-teristics of quantum systems and channels M. E. Shirokov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2017 November 29, 2017 14:30
17.	Conditional mutual information in infinite-dimensional quantum systems and its use Maksim Shirokov New Trends in Mathematical and Theoretical Physics October 6, 2016 11:00
18.	О квантовой пропускной способности при нулевой ошибке M. E. Shirokov Conference of Professors of the RAS in the Department of Mathematical Sciences of the Russian Academy of Sciences June 14, 2016 16:15
19.	О неограниченности числа копий канала, необходимого для безошибочной передачи квантовой информации M. E. Shirokov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS December 3, 2015 11:00
20.	Squashed entanglement (выжатая сцепленность) в бесконечномерных квантовых системах M. E. Shirokov Seminar on Quantum Probability, Statistics, Information October 5, 2015 16:30
21.	О квантовых корреляциях в бесконечномерных составных системах (продолжение) M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 30, 2015 16:30
22.	О квантовых корреляциях в бесконечномерных составных системах M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 23, 2015 16:30
23.	On Compactness of Families of Probability Measures on the Set of Quantum States M. E. Shirokov, A. S. Holevo International Scientific Conference "Probability Theory and its Applications" On Occasion of 85th Birthday of Yu. V. Prokhorov February 12, 2015 14:45
24.	Семинар, посвященный памяти Юрия Васильевича Прохорова. О компактности подмножеств вероятностных мер на квантовых состояниях M. E. Shirokov, A. S. Holevo Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS December 15, 2014 13:00
25.	О необходимости неограниченного числа копий канала для безошибочной передачи квантовых состояний M. E. Shirokov Seminar on Quantum Probability, Statistics, Information September 22, 2014 16:30
26.	Об $n$-кратной суперактивации квантовой пропускной способности с нулевой ошибкой M. E. Shirokov Seminar on Quantum Probability, Statistics, Information May 19, 2014 16:30
27.	Суперактивация квантовых пропускных способностей с нулевой ошибкой M. E. Shirokov Seminar on Quantum Probability, Statistics, Information February 10, 2014 16:30
28.	Суперактивация нуленых пропускных способностей в терминах квантовых измерений M. E. Shirokov Seminar on Quantum Probability, Statistics, Information December 16, 2013 16:30
29.	Суперактивация пропускной способности с нулевой ошибкой для квантовых каналов M. E. Shirokov, T. V. Shulman Seminar on Quantum Probability, Statistics, Information September 30, 2013 16:30
30.	On reversibility of quantum channel M. E. Shirokov International conference "QP 34 – Quantum Probability and Related Topics" September 16, 2013 15:00
31.	Критерий совпадения квантовой взаимной информации и хи-функции M. E. Shirokov Seminar on Quantum Probability, Statistics, Information February 27, 2013 16:30
32.	Необходимые и достаточные условия равенства в некоторых энтропийных неравенствах M. E. Shirokov Seminar on Quantum Probability, Statistics, Information September 24, 2012
33.	The von Neumann entropy and quantum channels M. E. Shirokov Steklov Mathematical Institute Seminar June 28, 2012 16:00
34.	Достаточные и необходимые условия обратимости квантовых каналов и их применения в квантовой теории информации (продолжение) M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 14, 2012 16:30
35.	Достаточные и необходимые условия обратимости квантовых каналов и их применения в квантовой теории информации M. E. Shirokov Seminar on Quantum Probability, Statistics, Information February 29, 2012 16:30
36.	Output entropy of quantum channels and operations M. E. Shirokov Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis" February 17, 2012 15:00
37.	Число Шмидта и бесконечномерные каналы, частично разрушающие сцепленность M. E. Shirokov Seminar on Quantum Probability, Statistics, Information November 7, 2011 16:30
38.	О строгой монотонности величины “хи” квантового ансамбля M. E. Shirokov Seminar on Quantum Probability, Statistics, Information October 3, 2011 16:30
39.	О пропускной способности с использованием сцепленности для бесконечномерных каналов M. E. Shirokov Seminar on Quantum Probability, Statistics, Information April 21, 2011 16:00
40.	Квантовое преобразование Фурье и гауссовские состояния (окончание) M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 17, 2011 13:00
41.	Квантовое преобразование Фурье и гауссовские состояния (продолжение) M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 10, 2011 16:00
42.	Квантовое преобразование Фурье и гауссовские состояния M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 3, 2011 16:00
43.	Понятие инструмента и энтропийные соотношения при квантовых измерениях M. E. Shirokov Seminar on Quantum Probability, Statistics, Information November 29, 2010 16:00
44.	О новых результатах для квантовых энтропийных величин M. E. Shirokov Seminar on Quantum Probability, Statistics, Information September 6, 2010 16:30
45.	О выходной энтропии квантового канала M. E. Shirokov Seminar on Quantum Probability, Statistics, Information October 12, 2009 18:00
46.	Когерентная и взаимная квантовые информации для бесконечномерных систем M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 30, 2009 14:00
47.	О свойствах непрерывности квантовой энтропии (продолжение) M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 23, 2009 15:00
48.	О свойствах непрерывности квантовой энтропии M. E. Shirokov Seminar on Quantum Probability, Statistics, Information March 16, 2009 15:00

Books in Math-Net.Ru

Noncommutative Analysis and Quantum Information Theory, Collected papers. Dedicated to Academician Alexander Semenovich Holevo on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 324, ed. M. E. Shirokov, G. G. Amosov, 2024, 292 с.
http://mi.mathnet.ru/book1967

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