Recent publications of Denes Petz

Recent publications of D. Petz

(164) D. Petz and D. Virosztek, Some inequalities for quantum Tsallis entropy related to the strong subadditivity, Mathematical Inequalities & Applications, 18(2015), 555--568. [pdf]

(163) D. Petz and D. Virosztek, A characterization theore for matrix variances, Acta Sci. Math. (Szeged), 80(2014), 681--687. [pdf]

(162) F. Hiai, H. Kosaki, D. Petz and M.B. Ruskai, Families of completely positive maps associated with monotone metrics, Lin. Alg. Appl. 439(2013), 1749--1791. [pdf]

(161) Á. Besenyei and D. Petz, Partial subadditivity of entropies, Linear Alg. Appl. 439(2013), 3297--3305. [pdf]

(160) H. Ohno and D. Petz, Some problems from state estimations, [pdf]

(159) Z. Léka and D. Petz, Some decompositions of matrix variances, Probability and Mathematical Statistics, 33(2013). [pdf]

(158) F. Hiai and D. Petz, Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited, J. Math. Phys. 54(2013), 062201. [pdf]

(157) G. Balló, K.M. Hangos and D. Petz, Convex optimization-based parameter estimation and experiment design for Pauli channels, IEEE Trans. on Automatic Control 57(2012), 2056--2061. [pdf]

(156) D. Petz and G. Tóth, Matrix variances with projections, Acta Sci. Math. (Szeged), 78(2012), 683--688. [pdf]

(155) D. Petz, L. Ruppert and A. Szántó, Conditional SIC-POVMs, IEEE Transactions on Information Theory, 60(2014), 351--356. [pdf]

(154) F. Hiai and D. Petz, From quasi-entropy to various quantum information quantities, Publ. RIMS Kyoto University 48(2012), 525--542, [pdf]

(153) F. Hiai and D. Petz, Riemannian metrics on positive definite matrices related to means. II, Linear Alg. Appl. 436(2012), 2117--2136. pdf]

(152) D. Petz and G. Tóth, Extremal properties of the variance and quantum Fsher information, Phys. Rev. A 87(2013), 032324. [pdf]

(150) D. Petz and L. Ruppert, Optimal quantum state tomography with known parameters, Journal of Physics A: Math. Theor. 45(2012), 085306. [pdf]

(149) Á. Besenyei and D. Petz, Successive iterations and logarithmic means, Operators and Matrices, 7(2013), 205--218. [pdf]

(148) Á. Besenyei and D. Petz, Characterization of mean transformations, Linear and Multilinear Algebra 60(2012), 255--265, [pdf]

(147) Á. Besenyei and D. Petz, Completely positive mappings and mean matrices, Linear. Alg. Appl. 435(2011), 984-997. [pdf]

(146) D. Petz and L. Ruppert, Efficient quantum tomography needs complementary and symmetric measurements, Rep. Math. Phys. 69(2012), 161--177. [pdf]

(145) D. Petz, From quasi-entropy, Annales Univ. Sci. Budapest, 55(2012), 81--93. [pdf]

(144) F. Hiai, M. Mosonyi, D. Petz and C. Bény, Quantum f-divergences and error corrections, Rev. Math. Phys. 23, 691--747 (2011). [pdf]

(143) D. Petz and C. Ghinea, Introduction to quantum Fisher information, QP--PQ: Quantum Probab. White Noise Anal., vol. 27. (Eds: R. Rebolledo and M. Ország), World Scientific, 2011, pp. 261-281. [pdf]

(141) D. Petz, Algebraic complementarity in quantum theory, J. Math. Phys. 51, 015215 (2010), [pdf]

(140) D. Petz and J. Pitrik, Markov property of Gaussian states of canonical commutation relation algebras, J. Math. Phys. 50, 113517 (2009). [pdf]

(139) K. Audenaert, F. Hiai and D. Petz, Strongly subadditive functions, Acta Math. Hungar. 128(2010), 386--394. pdf]

(138) D. Petz, From f-divergence to quantum quasi-entropies and their use, Entropy 12(2010), 304-325. [pdf]

(135) T. Baier and D. Petz, Complementarity and state estimation, Rep. Math. Phys., 65(2010), 203--214. [pdf]

(134) A. Jencova, D. Petz and J. Pitrik, Markov triplets on CCR-algebras, Acta Sci. Math. (Szeged), 76(2010), 111--134. [pdf]

(133) F. Hiai and D. Petz, Riemannian geometry on positive definite matrices related to means, Linear. Alg. Appl. 430(2009), 3105-3130. [pdf]

(132) H. Ohno and D. Petz, Generalized Pauli channels, Acta Math. Hungar 124(2009), 165-177. [pdf]

(131) D. Petz, Complementarity and the algebraic structure of finite quantum systems, J. of Physics: Conference Series 143 (2009), 012011. [pdf]

(130) T. Ando and D. Petz, Gaussian Markov triplets approached by block matrices, Acta Scie. Math. (Szeged), 75(2009), 329-345, [pdf]

(129) D. Petz, A. Szántó and M. Weiner, Complementarity and the algebraic structure of 4-level quantum systems, J. Infin. Dim. Anal., Quantum Probability and Related Topics 12(2009), 99-116. [pdf]

(128) D. Petz and V.E. S Szabó, From quasi-entropy to skew information, Int. J. Math. 20 (2009), 1421-1430. [pdf]

(127) P. Gibilisco, F. Hiai and D. Petz, Quantum covariance, quantum Fisher information, and the uncertainty principle, IEEE Trans. Inform. Theory 55(2009), 439-443. [pdf]

(126) F. Hiai, M. Mosonyi, H. Ohno and D. Petz , Free energy density for mean field perturbation of states of a one-dimensional spin chain, Rev. Math. Phys. 20(2008), 335-265. [pdf]

(124) F. Hiai and D. Petz , A new approach to mutual information, in Noncommutative Harmonic Analysis with Applications to Probability, Banach Center Publications, vol 78, eds. M. Bozejko, A. Krystek, W. Mlotkowsky and J. Wysoczansky, pp. 151-164, Warszawa, 2006 [pdf]

(123) I. Csiszár, F. Hiai and D. Petz , A limit relation for quantum entropy and channel capacity per unit cost, J. Math. Phys. 48(2007), 092102. [pdf]

(121) H. Ohno, D. Petz and A. Szántó, Quasi-orthogonal subalgebras of 4 x 4 matrices, Linear. Alg. Appl. 425(2007), 109-118. [pdf]

(120) D. Petz, Complementarity in quantum systems, Rep. Math. Phys. 59(2007), 209-224. [pdf] .

(119) D. Petz, K.M. Hangos and A. Magyar, Point estimation of states of finite quantum systems, J. Phys. A: Math. Theor. 40(2007), 7955-7969. [pdf] , abstract.

(118) D. Petz and J. Kahn, Complementary reductions for two qubits, J. Math. Phys. 48(2007), 012107. [pdf] .

(112). D. Petz, Bregman divergence as relative operator entropy, Acta Math. Hungar, 116(2007), 127-131. [pdf]

(117) D. Petz, K.M. Hangos, A. Szántó and F. Szöllősi, State tomography for two qubits using reduced densities, J. Phys. A: Math. Gen. 39 (2006) 10901-10907. [pdf]

(113). A. Jencova and D. Petz, Sufficiency in quantum statistical inference: A survey with examples. J. Infinite Dimensional Analysis and Quantum Probability, 9(2006), 331-352. [pdf], abstract

(111). D. Petz, Information Geometry and Statistical Inference, in Proceedings of the IGAIA2 Conference, Tokyo, 2005. [pdf]

Th. Baier, D. Petz, K.M. Hangos and A. Magyar, Comparison of some methods of quantum state estimation , Quantum Probability and Infinite Dimensional Analysis, Proceedings of the 26th Conference, eds. L. Accardi, W. Freudenberg, M. Schümann, pp. 64--8, World Scientific, 2007. quant-ph/0511263

D. Petz, Means of positive matrices: Geometry and a conjecture, Annales Mathematicae et Informaticae 32(2005), 129-139. [pdf]

F. Hiai and D. Petz, Large deviation for functions of two random projection matrices, Acta Sci. Math. (Szeged), 72(2006), 581--609. Abstract , [pdf]

F. Hiai and D. Petz , A free analogue of the transportation cost inequality on the circle, in Quantum Probability, Banach Center Publications, vol 73, ed. M. Bozejko, W. Mlotkowsky and J. Wysoczansky, pp. 199--206, Warszawa, 2006. [pdf]

D. Petz and R. Temesi, Means of positive numbers and matrices(dedicated to Pál Rózsa on the occasion of his 80th birthday), SIAM J. Matrix Anal. Appl. 27(2006), 712-720. [pdf]

A. Jencova and D. Petz, Sufficiency in quantum statistical inference, Commun.. Math. Phys. 263(2006), 259-276. Abstract, [pdf]. The original publication might be available here.

N. Akiho, F. Hiai and D. Petz, Equilibrium states and their entropy densities in gauge-invariant C*-systems, Rev. Math. Phys. 17(2005), 365--389 [pdf]

F. Hiai, D. Petz and Y. Ueda, A free logarithmic Sobolev inequality on the circle, Canad. Math. Bull. 49(2006) 389-406, [pdf]

M. Nielsen and D. Petz, A simple proof of the strong subadditivity inequality, Quantum Information & Computation, 6(2005), 507-513. [pdf]

D. Petz, Quantum source coding and data compression, to be published in the proceedings of Conference on Search and Communication Complexity, Bolyai Studies. [pdf]

F. Hiai, D. Petz and Y. Ueda, Free transportation cost inequalities via random matrix approximation, Prob. Theory Rel. Fields, 130(2004), 199-221. [pdf]

D. Petz and J. Réffy, Large deviation theorem for empirical eigenvalue density of truncated Haar unitary matrices, [download] Prob. Theory Rel. Fields 133(2005), 175-189. The original publication might be available here.

M. Mosonyi and D. Petz, Structure of sufficient quantum coarse-grainings, Lett. Math. Phys. 68(2004), 19-30. [download]

Á. Császár and D. Petz, A panorama of the Hungarian real and functional analysis in the 20th century, in A panorama of Hungarian mathematics in the twentieth century, ed. J. Horváth, 211-244, Springer, 2005. [pdf]

D. Petz and J. Réffy, On asymptotics of large Haar distributed unitary matrices, Periodica Math. Hungar. 49(2004), 103-117. [download]

P. Hayden, R. Jozsa, D. Petz and A. Winter, Structure of states which satisfy strong subadditivity of quantum entropy with equality, Commun. Math. Phys. 246(2004), 359-374. [download]

D. Petz, Monotonicity of quantum relative entropy revisited (dedicated to Elliott Lieb and Huzihiro Araki on the occasion of their 70th birthday), Rev. Math. Physics. 15,79-91 (2003). [pdf]

M. Fannes and D. Petz, Perturbation of Wigner matrices and a conjecture, Proc. Amer. Math. Soc.131,1981-1988, (2003). [pdf]

D. Petz, Covariance and Fisher information in quantum mechanics, J. Phys. A: Math. Gen. 35,929-939 (2002). [pdf]

M. Fannes and D. Petz, On the function Tr exp (A+itB), Int. J. Math. and Math. Sci. 29, 389-394 (2002)[pdf]

F. Hiai, M. Mizuo and D. Petz, Free relative entropy for measures and a corresponding perturbation theory ,J. Math. Soc. Japan, 54(2002), 679-718. [pdf]