Less recent publications of D. Petz
Research Papers
- (93) D. Petz, Covariance and Fisher information in quantum
mechanics, J. Phys. A: Math. Gen. 35(2002), 929-939. [pdf]
- (90) D. Petz, and M. Mosonyi, Stationary quantum source coding,
J.
Math. Phys. 42(2001), 4857-4864 (2001). [pdf].
- (89) F. Hiai and D. Petz, Asymptotic freeness almost everywhere
for
random matrices, Preprint
of
[MaPhySto],
Acta. Sci. Math. (Szeged), 66(2000), 801-826.
- (88) P. Michor, D. Petz and A. Andai, On the curvature of a
certain
Riemannian space of matrices, Infinite
Dimensional Analysis, Quantum Probability and Related Topics, 3(2000),
199-212, [pdf]
- (84) D. Petz and Cs. Sudár, Extending the Fisher metric to
density matrices, in Geometry of Present Days Science, eds. O.E.
Barndorff-Nielsen and E.B. Vendel Jensen, 21-34 (World Scientific,
1999) [pdf]
- (83) F. Hiai and D. Petz, Properties of free entropy related to
polar
decomposition, Comm. Math. Phys. 202 (1999), 421-444. [pdf]
- (81) F. Hiai and D. Petz, Eigenvalue density of the Wishart
matrix
and large deviations, Infinite Dim. Anal.
and Quantum Probability, 1(1998), 633-646. [pdf]
- (79) F. Hiai and D. Petz, Maximizing free entropy, Acta Math.
Hungar.
80(1998), 325-346. [pdf]
- (78) F. Hiai and D. Petz, Logarithmic Energy as an Entropy
Functional, in Advances in Differential Equations and Mathematical
Physics, eds. E. Carlen, E.M. Harrell, M. Loss, Contemporary Math.
217(1998), 205-221.
[pdf]
- (77) D. Petz and M.B. Ruskai, Contraction of
generalized relative entropy under stochastic mappings on matrices
(Dedicated
to the 70th birthday of Professor Walter Thirring), Infinite Dim.Anal.
and Quantum Probability, 1(1998), 83-89. [pdf]
- (76) M. Ohya and D. Petz, N. Watanabe, On
Capacities of Quantum Channels, Prob. Mat. Stat. 17(1997),
179-196. [pdf]
- (75) H. Hasegawa and D. Petz, Non-commutative extension of
information
geometry II, in Quantum Communication, Computing, and Measurement, ed.
O. Hirota et al, Plenum, 1997. [pdf]
- (73) F. Hiai, D. Petz, Quantum mechanics in AF
C*-systems, Rev. Math. Phys. 8(1996), 819-859. [pdf]
- (71) H. Hasegawa and D. Petz, On the Riemannian metric of
alpha-entropies of density matrices, Lett. Math. Phys. 38(1996),
221-225. [pdf]
- (68) D. Petz, Monotone metrics on matrix spaces, Linear
Algebra Appl. 244(1996), 81-96. [pdf]
- (65) F. Hiai, D. Petz, Entropy density for algebraic
states, J. Functional Anal. 125(1994), 287-308. [pdf]
- (64) D. Petz, A survey of trace inequalities, in Functional
Analysis and Operator Theory, 287-298, Banach Center Publications, 30
(Warszawa 1994). [pdf]
- (61) D. Petz, Geometry of canonical correlation on the
state space of a quantum system, J. Math. Phys. 35(1994),
780-795. [pdf]
- (60) F. Hiai, D. Petz, Entropy densities for Gibbs states
of quantum spin systems, Rev. Math. Phys. 5(1994),
693--712. [pdf]
- (59) D. Petz, On entropy functionals of states of operator
algebras, Acta Math. Hungar. 64(1994), 279--286. [pdf]
- (54) D. Petz, Entropy in quantum probability I, Quantum
Probability
and Related Topics VII, ed. L. Accardi (World Scientific, Singapore,
1992), 275-297. [pdf]
- (52) D. Petz, Characterization of the relative entropy of
states of matrix algebras, Acta Math. Hungar. 59(1992), 449--455.
[pdf]
- (51) D. Petz, Entropy, the central limit theorem and the algebra
of the canonical commutation relation, Lett. Math. Phys.
24(1992), 211--220. [pdf]
- (47) D. Petz, First steps
towards a Donsker and Varadhan theory in operator algebras, Quantum
Probability
and Applications IV, Lecture Notes in Math., 1442 (1990),
311--319. [pdf]
- (46) C. Cecchini, D. Petz, Classes of conditional
expectations over von Neumann algebras, J. Functional Anal., {\bf
92}(1990), 8--29. [pdf]
- (45) D. Petz, A de Finetti-type theorem with m-dependent
states, Probability Theory and Related Fields, 85(1990), 65-72. [pdf]
- (35) D. Petz, A variational expression for the relative
entropy, Commun. Math. Phys., 114(1988), 345--348.. [pdf]
- (32) D. Petz, Quasi-entropies for finite quantum systems:
Rep. Math. Phys., 23(1986), 57-65. [pdf]
- (29) D. Petz, Sufficient subalgebras and the relative
entropy of states of a von Neumann algebra, Commun. Math. Phys.
105(1986), 123--131. [pdf]
- (26) D. Petz, Quasi-entropies for states of a von Neumann
algebra, Publ. RIMS. Kyoto Univ. 21(1985), 781--800. [pdf]
Other
publications
- F. Hiai and D. Petz, The semicircle law, free random variables
and entropy, Mathematical Surveys and Monographs, Vol. 77, American
Mathematical Society, 2000. Contents , AMS
bookstore
Order code: SURV-77 ), Overview
[pdf]
- D. Petz, Quantum entropy, in Encyclopedia of Mathematical
Physics, 2006, Vol. 3, 177--182. [pdf]
- D. Petz, Entropy, Von Neumann and the von Neumann entropy, in
John von Neumann and the Foundations of Quantum Physics, eds. M.
Rédei and M. Stõltzner, Kluwer, 2001. [pdf]