publ

LIST OF PUBLICATIONS by A. S. Holevo

1. A generalization of von Neumann's theorem on the operator T*T to spaces with
indefinite metric. Sci. Notes Az. Univ. (Ser. phys.-math.), 1965, N2, 45-48,
(rus)

2. Automata forecasting stochastic process. USSR Acad. Sci. Dokl. Math., 1965,
v.164, N3, 515-518, (rus)

3. On sequential estimates of parameters. Theor. Probab. and Appl., 1967, v.12,
N1, 172-179, (rus)

4. Estimates of parameters of a diffusion process via stochastic approximation
method. Proc. Comp. Center USSR Acad. Sci., 1967, v.12, 179-120 (rus)

5. On adaptive filters. 1st All-Union Symp. Statist. Probl. in Techn. Cybern.,
Moscow, 1967, Abstracts, pt.1, 143-144 (rus)

6. On estimates of regression coefficients. Theor. Probab. and Appl., 1969, v.14,
N1, 78-101 (rus)

7. On the estimates of regression coefficients in case of continuous time. Theor.
Probab. Appl., 1969, v.14, N4, 753 (rus)

8. On estimates of regression coefficients. Candidate dissertation. Steklov Math.
Inst., 1969, 73p. (rus)

9. On quantum characteristic functions. Probl. Inform. Transm., 1970, v.6, N4,
42-48 (rus)

10.Estimates of almost-periodic signals. Theor. Probab. and Appl., 1971, v.16, N2
249-263 (rus)

11.On the asymptotic efficiency of the pseudo-best estimates. Theor. Probab. and
Appl., 1971, v.16, N3, 524-534 (rus)

12.On the asymptotic normality of the regression coefficients estimates. Theor.
Probab. and Appl., 1971, v.16, N4, 724-728 (rus)

13.Generalized free states of the C*-algebra of the CCR. Theor. Math. Phys.,
1971, v.6, N1, 3-20 (rus)

14.Generalized free states of the C*-algebra of the CCR. II. Theor. Math. Phys.,
1971, vol. 6, N2, 145-150 (rus)

15.On quasiequivalence of locally normal states. Theor. Math. Phys., 1972, v.13,
N2, 184-199 (rus)

16.On the estimates of functions of the mean value. Theor. Probab. and Appl., 1972,
v.17, N3, 573-575 (rus)

17.Towards the mathematical theory of quantum communication channels. Probl. Inform.
Transm., 1972, v.8, N1, 63-71 (rus)

18.Statistical problems in quantum physics. Proc. 2nd Japan-USSR Symp. on Probab.
Theory, Kyoto, 1972, v.1, 22-40

19.An analog of statistical decision theory in the noncommutative probability.
Proc. Moscow Math. Soc., 1972, v.26, 133-149 (rus)

20.Some statistical problems for quantum fields. Theor. Probab. and Appl., 1972,
v. 1972, v.17, N2, 360-365 (rus)

21.On quasiequivalence of the generalized free states on the C*-algebra of CAR.
Theor. Math. Phys., 1973, v.14, N2, 145-151 (rus)

22.On the general problem of mean estimation. J. Multiv. Anal., 1973, v.3, N3
262-275

23.Information-theoretic aspects of quantum measurement. Probl. Inform. Transm.
1973, v. 9, N2, 31-42 (rus)

24.Some estimates for information quantity transmitted by quantum communication
channel. Probl. Inform. Transm., 1973, v. 9, N3, 3-11 (rus)

25.Optimal measurements of quantum signal parameters. 3d Int. Symp. Inf.
Theory, Tallin, 1973, Abstracts, pt.1, 147-149 (rus)

26.On the noncommutative analog of the maximum likelihood method. Int. Conf.
Theor. Probab. and Statist., Vilnius, 1973, Abstracts, v.2,317-320 (rus)

27.Statistical decision theory for quantum systems. J. Multiv. Anal., 1973, v.3,
N4, 337-394

28.On a generalization of Cramer-Rao inequality. Theor. Probab. Appl.,1973, v.18,
N2, 371-375 (rus)

29.Statistical decisions in quantum theory. Theor. Probab. Appl.,1973, v.18, N2,
442-444 (rus)

30.Optimal quantum measurements. Theor. Math. Phys., 1973, v.17, N3, 184-199 (rus)

31.On the optimal measurement of the mean value of Gaussian state. Techn. Cybernetics,
1974, N5, 152-152 (rus)

32.On statistical decision theory on an operator algebra. USSR Acad. Sci. Dokl.
Math., 1974, v.218, N1, 54-57 (rus)

33.Remarks on optimal quantum measurements. Probl. Inform. Transm., 1974, v.10, N4,
51-55 (rus)

34.Some statistical problems for quantum Gaussian states. IEEE Trans. Inform. Theory,
1975, v.21, N5, 533-543

35.On a vector valued integral in the ``non-commutative'' statistical decision
theory. J. Multiv. Anal., 1975, v.5, 462-465

36.Mathematical problems in the theory of quantum channels. Proc. Steklov Inst.
Math., 1975, v.135; English translation - 1978, Issue 1, 231-233

37.Integral with respect to measure with values in the space dual to partially
ordered Banach space. Notices Sci. Sem. LOMI, 1976, v.55, 26-34

38.Investigations in the general theory of statistical decisions. Proc. Steklov
Math. Inst. 1976, v.124 (rus), 140p.; AMS Translation - 1978, Issue 3

39.Noncommutative analogues of the Cramer-Rao inequality in quantum measurement
theory. Lect. Notes Math., 1976, v.550, 194-222

40.Problems in the mathematical theory of quantum communication channels. Rep. Math.
Phys., 1977, v.12, N2, 273-278

41.Commutation superoperator of a state and its applications to the noncommutative
statistics. Rep. Math. Phys., 1977, v.12, N2, 251-271

42.Estimation of shift parameters of quantum state. Rep. Math. Phys., 1978, v.13,
N3, 379-399

43.On asymptotically optimal hypotheses testing in quantum statistics. Theor.
Probab. Appl., 1978, v.23, N2, 429-432 (rus)

44.(with N. P. Rasulov) A regression problem for continuous time series. Theor. Probab.
Appl., 1978, v.23, N4, 762-771 (rus)

45.On the capacity of quantum communication channel. Probl. Inform. Transm., 1979,
v.15, N4, 3-11 (rus)

46.Minimax measurements of parameters of quantum state. 5th Int. Symp.
Inform. Theory, Tbilisi, 1979, Abstracts, 194-196 (rus)

47.Sufficient statistics. Math. Encycl., v.2, 375-377. Soviet Encycl., Moscow,
1979 (rus)

48.Quantum communication channel. Math. Encycl., v.2, 707-709. Soviet Encycl.,
Moscow, 1979 (rus)

49.Covariant measurements and uncertainty relations. Rep. Math. Phys., 1980, v.16,
N3, 289-304

50.Probabilistic and statistical aspects of quantum theory. Nauka, Moscow, 1980
320p. (rus); North Holland Translation - 1982

51.Uncertainty relations for angular parameter. 3d Int. Conf. Theor. Probab.
Math. Stat., Vilnius, 1981, Abstracts, v.2, 232-233 (rus)

52.(with N. A. Bogomolov) Resolutions of identity covariant with respect to
representation of locally compact Abelian group. Proc. Comp. Center MSU, 1981
45-59 (rus)

53.Quantum-probabilistic study of the counting statistics with application to the
Dolinar receiver. Izv. VUZ. Matematika, 1982, v.26, N8, 3-19 (rus); English translation-
Soviet Math., 1-20.

54.Testing statistical hypotheses in quantum theory. Probab. Math. Statist., 1982,
v.3, N1, 113-126 (rus)

55.Correlation function. Math. Encycl., v.3, 23-25. Soviet Encycl., Moscow, 1982
(rus)

56.(with N. A. Bogomolov) On a bound for precision of covariant quantum measurements.
Comp. Center MSU, 1982, 78-79 (rus)

57.Bounds for generalized uncertainty of shift parameters. Lect. Notes Math., 1983,
v. 1021, 243-251

58.Generalized imprimitivity systems for Abelian groups. Izv VUZ. Matematika, 1983,
N2, 49-71 (rus); English translation - Soviet Math., 53-80

59.Measuring parameters of quantum stochastic process. 2nd All-Union Conf.
Theor. Metrology, Abstracts, Leningrad, 1983, 28-29 (rus)

60.(with N. A. Bogomolov) On a characterization of covariant resolutions of
identity. Funct. Anal. Appl., 1983, v.17, N2, 64-65 (rus)

61.On the measurements of parameter of a quantum stochastic process. Theor. Math.
Phys., 1983, v. 57, N3, 424-437 (rus)

62.On the structure of generalized imprimitivity systems. Int. Congress
Math., Warszawa, 1983, Abstracts, v.XI, 53

63.Covariant measurements and imprimitivity systems. Lect. Notes Math., 1984,
v. 1055, 153-172

64.Continuous measurements over quantum stochastic process. 6th Int. Symp.
Inform. Theory, Tashkent, 1984, Abstracts, 255-257

65.Statistical definition of observable and the structure of statistical models.
Rep. Math. Phys., 1985, v.22, N3, 385-407

66.On the principle of quantum non-demolition measurements. Theor. Math. Phys.
1985, v. 65, N3, 415-422 (rus)

67.Statistical structure of quantum theory and hidden variables.
Ser. Math. Cybern. N6, Znanie, Moscow, 1985

68.On a generalization of canonical quantization. Izv. Acad. Nauk SSSR, ser. mat.,
1986, v.50, N1, 181-194 (rus); Translation - Math USSR Izvestiya, 1987, v.28,
N1, 175-188

69.Infinitely divisible measurements in quantum probability theory. Theor. Probab.
Appl., 1986, v.32, N3, 560-564 (rus)

70.Infinitely divisible characteristic functions in quantum probability.
World Bernoulli Soc. Congr., Tashkent, 1986, Abstracts, v.2, 691

71.The Levy-Khinchin type representation in quantum probability theory.
Theor. Probab. Appl., 1987, v.32, N1, 142-146 (rus)

72.Quantum estimation. Adv. Statist. Signal Proc.,1987, v.1, 157-202

73.Conditionally positive-definite functions in quantum probability. Proc. of
Internat. Congress of Mathematicians, Berkeley, Calif., USA (1986), 1987,
1011-1020.

74.A noncommutative generalization of conditionally positive definite functions.
Lect. Notes Math., 1987, v.1303. 128-147.

75.Limit theorems for repeated measurements and continuous measurement processes.
Lect. Notes Math., 1989, v.1396, 229-255.

76.Stochastic representations of quantum dynamical semigroups. Proc. Steklov
Math. Inst., 1989, v.191, 130-139 (rus); AMS Translation: 1992, Issue 2, 145-154

77.Elements of multivariate random analysis and the theory of stochastic processes.
Lecture course. Moscow Phys.-Tech. Inst., Moscow, 1989.

78.(with L. V. Denisov) Conditionally positive definite functions on the
coefficient algebra of a nonabelian group. Proc. 5th Vilnius Conf. Theor. Probab.
and Math. Statist., 1989. V.1, 261-270.Mokslas, Vilnius - VSP, Utrecht, 1990

79.Statistical inference for quantum processes. Lect. Notes Phys.,1991, v.378,
127-137.

80.Quantum stochastic calculus. Journ. of Soviet Math., 1991, v.56, 2609-2624.

81.An analog of the Ito decomposition for multiplicative processes with values
in a Lie group. Sankhya, ser. A, 1991, v.53, Pt.2, 158-161

82.Quantum probability and quantum statistics. VINITI, Moscow, 1991, v.83, 132p.
(rus)

83.Time-ordered exponentials in quantum stochastic calculus. Quant. Probab.
Rel. Topics., 1992, v.7, 175-202

84.A brief survey of the modern statistical theory of quantum measurement.
in: Conceptual problems of quantum measurement theory, RAN INION, Moscow, 1992,
19-29 (rus)

85.(with A. Barchielli, G. Lupieri) An analog of Hunt's representation theorem
in quantum probability. J. Theor. Probab., 1993, v.6, 231-265.

86.A note on covariant dynamical semigroups. Rep.Math.Phys., 1993, v.32, 211-216.

87.On conservativity of covariant dynamical semigroups. Rep.Math.Phys., 1993,
v.33, 95-110.

88.Structure of covariant dynamical semigroups. Russian Acad. Sci. Dokl. Math.,
1993, v.328, N6, 666-670 (rus); English translation - v.47, 161-167.

89.On the Levy-Khinchin formula in the non-commutative probability theory.
Theor. Probab. and Appl., v.37, N2, 1993, 211-216.

90.(with A. Barchielli) Constructing quantum measurement processes via classical
stochastic calculus. Stoch.Proc. and Appl., 1995, v.58, 293-317.

91.On translation-covariant Markovian master equations. Izvestiya: Mathematics,
1995, v.59, N2, 205-221 (rus); English translation - 427-443.

92.On the structure of covariant dynamical semigroups. J. Funct. Anal., 1995,
v.131, 255-278.

93.Excessive maps, "arrival times" and perturbations of dynamical semigroups.
Izvestiya: Mathematics., 1995, v.59, N6, 207-222 (rus); English translation
- 1311-1325.

94.On dissipative stochastic equations in Hilbert space. Probab.
Theory Rel. Fields, 1996, v.104, 483-500.

95.Exponential formulae in quantum stochastic calculus. Proc. Royal Academy of
Edinbourgh., 1996, v.126A, 375-389.

96.Covariant quantum Markovian evolutions. J. Math. Phys., 1996, v.37(4),
1812-1832.

97.(with M. Sasaki, T. S. Usuda and O. Hirota) Application of the Jaynes-
Kummings model for the detection of nonorthogonal quantum states. Phys. Rev. A,
1996, v.53, 1273-1279.

98.Stochastic differential equations in Hilbert space and quantum Markovian evolutions.
   In: Probability Theory and Mathematical Statistics. Proc. 7th Japan- Russia
   Symp. Tokyo, 26-30.07.1995. Ed. S. Watanabe, M. Fukushima, Yu. V. Prohorov and
   A. N. Shiryaev. World Scientific, 1996, 122-131.

99.The structure of classical noise. In: Analysis, Geometry and Probability:
Essays in honour of K. R. Parthasarathy. Ed. R. Bhatia with assist. A. G. Bhatt.
Hindustan Publishing House, 1996.

100.There exists a non-standard dynamical semigroup on B(H). Uspekhi
Mat. Nauk., v. 51(6), 1996, 225-226.

101.The capacity of quantum channel with general signal states. LANL e-print
quant-ph/9611023, 1996. Appeared in IEEE Trans. Inform. Theory, v. 44, N1, 1998,
269-273.

102.On quantum communication channels with constrained inputs. LANL e-print
quant-ph/9705054, 1997.

103.On covariant instruments in quantum measurement theory. In: Quantum Communication,
   Computing and Measurement. Proc. of the Third International Conference,
   Shizuoka, 25-30.09.1996. Ed. by O. Hirota, A. S. Holevo and C. M. Caves.
   Plenum Press, New York - London, 1997, 223-232.

104.Coding theorems for quantum communication channels. LANL e-print quant-ph/9708046, 1997.
   Extended abstract of the talk at ISIT'98, Cambridge MA, 16-21.08.1998.

105.Covariant quantum dynamical semigroups: unbounded generators. LANL e-print quant-ph/9701037, 1997.
   Appeared in ``Quantum Theory in Rigged Hilbert Space -- Irreversibility and Causality. Reviews and
   Contributions of the Semigroup Simposium at the XXI International Colloquium on Group Theoretical Methods
   in Physics'', Eds. A. Bohm, H.-D. Doebner, P. Kielanowski, 1998.

106. (with M. V. Burnashev) On reliability function of quantum communication channel. LANL e-print
   quant-ph/9703013, 1997. Appeared in Probl. Peredachi Inform., v. 34, N2, 1998, 1-13.

107. Dynamical semigroup. In: Encyclopaedia ``Mathematical Physics,'' Moscow, 1998, 173-174.

108. Quantum measurement. In: Encyclopaedia ``Mathematical Physics,'' Moscow, 1998, 256-258.

109. Quantum stochastic calculus. In: Encyclopaedia ``Mathematical Physics,'' Moscow, 1998, 259-260.

110. Radon-Nikodym derivatives of quantum instruments. J. Math. Phys., vol. 39, N3 1998, 1373-1387.

111. Coding theorems for quantum channels. Research Reviews of Tamagawa University, N4, 1998.
    Extended version: LANL e-print quant-ph/9809023.

112. Generalized imprimitivity systems and canonical conjugateness in quantum mechanics.
   In: Quantisation, Coherent States and Poisson Structures. Proc. XIV Workshop on Geometrical Methods in Physics.
   Bialowieza 9-15.07.1995. PWN 1998.

113. Quantum coding theorems. Uspekhi Mat. Nauk, vol. 53, N6, 1998, 193-230 (rus); English translation:
   Russian Math. Surveys, vol. 53, N6, 1998, 1295-1331.

114. Sending quantum information with Gaussian states. LANL e-print quant-ph/9809022. Proc. of the Fourth
International Conference on Quantum Communication, Computing and Measurement, Evanston, 22-27.08.1998.
Ed. by   P.Kumar, M. D'Ariano and O. Hirota. Plenum Press, New York - London, 1999, 75-82.

115. (with M. Sohma and O. Hirota) The capacity of quantum Gaussian channels. Phys. Rev. A, vol. 59, N3, 1999,
1820-1828.

116. Probability in quantum physics. In: Encyclopaedia ``Probability and Mathematical Statistics,'' Moscow, 1999,
97-98 (rus).

117. Quantum theory of hypotheses testing and estimation. In: Encyclopaedia ``Probability and Mathematical Statistics,''
Moscow, 1999, 226-228 (rus).

118. Quantum communication channel. In: Encyclopaedia ``Probability and Mathematical Statistics,'' Moscow, 1999,
228-229 (rus).

119. Reliability function of general classical-quantum channel. IEEE Trans. on Information Theory, vol. 46, N6, 2000,
2256-2260. LANL e-print quant-ph/9907087, 1999.

120. (with M. Sohma, O. Hirota) Error exponents of quantum channels with constrained inputs. Rep. Math. Phys.,
vol. 46, N3, 2000, 343-358.

121. (with G. G. Amosov and R. F. Werner) On some additivity problems in quantum information theory. Probl.
   Inform. Transm., vol. 36, N4, 2000, 25-34. LANL e-print math-ph/0003002.

122. (with R. F. Werner) Evaluating capacities of Bosonic Gaussian channels. LANL e-print quant-ph/9912067,
1999. Phys. Rev. A. , vol. 63, 2001, 032312.

123. Levy processes and continuous quantum measurements. In: ``Levy processes,'' Ed. O. Barndorff-Nielsen,
T. Mikosch, S. Resnick, Birkhauser, Boston, 2001, pp. 225-239.

124. (with G. G. Amosov and R. F. Werner) On additivity/multiplicativity problems for quantum channels.
To appear in Proc. V-th International Conference on Quantum Communication, Computing and Measurement, Capri,
03-08.07.2000. Ed. O. Hirota, P. Tombesi. Plenum Press, New York- London.

125. Coding theorems of quantum information theory. To appear in Proc. XIII International Congress for Mathematical
Physics, London, 16-23.07.2000. International Press, Boston, 2001, pp. 415-422.

126. An invitation to quantum estimation. Math. Methods of Statistics, vol. 10, N1, 2001, 1-5.

127. Statistical structure of quantum theory. Lect. Notes Phys. m67, Springer, Berlin 2001. 159p.

128. (with G. G. Amosov) On the multiplicativity conjecture for quantum channels. LANL e-print math-ph/0103015, 2001.
Theor. Probab. Appl. vol. 47, no.1, 2002, 143-146.

129. On entanglement-assisted classical capacity. LANL e-print quant-ph/0106075, 2001. J. Math. Phys., vol. 43, N9, 2002, 4326-4333.

128. (with R. F. Werner) Counterexample to an additivity conjecture for output purity of quantum channels.
LANL e-print quant-ph/0203003, 2002. J. Math. Phys., vol. 43, N9, 2002, 4353-4357.

129. On states, channels and purification. LANL e-print quant-ph/0204077, 2002. Q. Inform. Processing, vol.1, N1, 2002.

130. An introduction to quantum information theory. MCCME (Moscow Independent University), Moscow 2002. (rus.) 126p.

131. Entanglement-assisted capacity of constrained quantum channel. LANL e-print quant-ph/0211170, 2002.

132. Remarks on the classical capacity of quantum channel. LANL e-print quant-ph/0212025, 2002.

133. Classical capacities of constrained quantum channel. Probab. theory and appl. v. 48, N2, 2003, 359-374.

134. (with M. E. Shirokov) On Shor's channel extension and constrained channels. Arxiv e-print quant-ph/0306196, 2003.
Commun. Math. Phys. v. 249, 417-430, 2004

135. Optimal receiver of a binary coherent signals based on the principle of optical feedback. Laser Physics, vol. 13, N10, 2003, 1-4.

136. Asymptotic estimation of shift parameter of a quantum state, Arxiv quant-ph/0307225, 2003.
Probab. theory and appl. v. 49, N2, 2004.

137. Probabilistic and statistical aspects of quantum theory. 2d edition, corrected and complemented. ICI, Moscow-Izhevsk, 2003. (rus.) 404 p.

138. (with M. E. Shirokov) Additivity problem for constrained quantum channels. Russian Math. Surveys, vol. 59, N2, 2004, 195-196.

139. (with N. Datta and Yu. M. Suhov) A quantum channel with additive minimum output entropy, Arxiv quant-ph/0403072.
Problems of Information Transmission. 41, N2, 2005, 9-25.

140. Additivity conjecture and covariant channels, Proc. Conference ``Foundations of Quantum Information'', Camerino, 16-19.04.2004.
Int. J. Quant. Inform., vol. 3, N1, 2005, 41-48

141. (with M. E. Shirokov) Continuous ensembles and the capacity of infinite dimensional channels. Probab. Theory and Appl. vol. 50, N1,
2005, 98-114.

142. Quantum Communication Channels in Infinite Dimensions, Proc.
Advanced Study Institute in Quantum Information and Quantum
Computation, Xania, Crete, 02-13.05.2005.

143. Convergence and compactness in state spaces, Proc. conf. to the memory of
T. A. Sarymsakov, Tashkent, Sept. 2005.

144. The additivity problem and constrained quantum channels, Proc. Int. Soc. Opt. Eng., v. 5833, 196-201, 2005.

143. (with N. Datta and Yu. M. Suhov) Additivity for transpose depolarizing channels,
Arxiv quant-ph/0412034. Int. J. Quant. Inform., 2006.

144. (with M. E. Shirokov and R. F. Werner) On the notion of entanglement in
infinite dimensional spaces, Russian Math. Surveys, vol. 60, N2,
2005, 153-154.

145. Classical capacity of quantum channels. Encyclopaedia "Mathematical Physics",
Elsevier, Oxford, 2006, 142-144.

146. Photon localization: observables and uncertainty relation, Microelectronics, vol. 35, N1, 2006, 27-36.

147. On complementary channels and the additivity problem, Arxiv quant-ph/0509101, 2005;
Probab. theory and appl. v. 51, N1, 2006, 133-134.

148. (with N. Datta) Complementarity and additivity for depolarizing channels, Arxiv quant-ph/0510145, 2005.

149. (with M. Fukuda) On Weyl-covariant channels, Arxiv quant-ph/0510148, 2005.

150. (with N. Datta and M. Fukuda) Complementarity and additivity for covariant channels,
Quantum Information Processing, vol. 5, N3, 2006, 179-207.

151. (with F. Caruso, V. Giovannetti) One-mode Bosonic Gaussian channels: a full weak-degradability classification,
New Journal of Physics 8, 310 (2006); Arxiv quant-ph/0609013.

152. Multiplicativity of p-norms of completely positive maps and the additivity problem in quantum information theory,
Russian Math. Surveys, vol. 61, N2, 2006, 113-152.

153. The additivity problem in quantum information theory, Proc. of International Congress of Mathematicians,
Madrid, Spain, 2006. vol. 3, pp. 999-1018, Publ. EMS 2006.

154. One-mode quantum Gaussian channels, Problems of Information Transmission, v.43, 1-11, 2007;
Arxiv quant-ph/0607051.

155. (with V. Giovannetti) Quantum shared broadcasting, Quant. Inform. Proc. 7, 55-69 2008. Arxiv:0710.2487.

156. (with M. E. Shirokov) On approximation of inﬁnite-dimensional quantum channels, Problems of Information Transmission, v. 44, n. 2, 3-22, 2008. Arxiv:0711.2245.

157. (with F. Caruso, J. Eisert, V. Giovannetti) Multi-mode bosonic Gaussian channels, New Journal

of Physics 10, 083030 (33 pp) 2008. Arxiv:0804.0511

157. Quantum informatics, World of Science (Russian edition of ”Scientiﬁc American”) N 7, 68-75, 2008.

158. Entanglement-breaking channels in inﬁnite dimensions, Problems of Information Transmission, v. 44, n. 3, 3-18, 2008. Arxiv:0802.0235

159. (with J.-P. Pelonpaa) Extreme covariant observables for type I symmetry groups, Foundations of Physics, 39, Issue 6, 625-641, 2009.

160. (with M. M. Wolf, T. Heinosaari), The semigroup structure of Gaussian channels, Quantum Information and Communication, 2010, v.10, N7-8, 0619-0635

161. Two mathematical problems of quantum information theory, Lecture Note Series, IMS, NUS, 2010, v. 20, 109-131

162. (with M. E. Shirokov), Mutual and coherent information for inﬁnite-dimensional quantum channels, Problems Inform. Transmission, 46:3 (2010), 201218.

163. Quantum systems, channels, information, Moscow Independent University, Moscow 2010 (327 pp., in Russian)

164. (with V. Giovannetti, S. Lloyd, L. Maccone) Generalized minimal output entropy conjecture for one-mode Gaussian channels: deﬁnitions and some exact results, J. Phys. A: Math. Theor. 43 (2010) 415305, 10 pp.

165. The entropy gain of inﬁnite-dimensional quantum evolutions, Dokl. Math., 82:2 (2010), 730-731.

166. Statistical inference for quantum systems, International Encyclopedia of Statistical Science, ed. M. Lovric, Springer, 2011, 1420-1423.

167. Entropy gain and the Choi-Jamiolkowski correspondence for inﬁnite-dimensional quantum evolutions, Theoretical and Mathematical Physics, 166:1 (2011), 123-138.

168. Probabilistic and statistical aspects of quantum theory. 2^nd Edition, corrected and complemented. Edizioni SNS, Pisa, 2011