-
1
-
-
0242380938
-
Relative entropy under mappings by stochastic matrices
-
J. E. Cohen, Y. Iwasa, Gh. Rautu, M. B. Ruskai, E. Seneta, and Gb. Zbaganu, "Relative entropy under mappings by stochastic matrices," Linear Algebr. Appl. 179, 211-235 (1993).
-
(1993)
Linear Algebr. Appl.
, vol.179
, pp. 211-235
-
-
Cohen, J.E.1
Iwasa, Y.2
Rautu, Gh.3
Ruskai, M.B.4
Seneta, E.5
Zbaganu, Gb.6
-
2
-
-
4244063074
-
Equivalence of certain entropy contraction coefficients
-
M. D. Choi, M. B. Ruskai, and E. Seneta, "Equivalence of certain entropy contraction coefficients," Linear Algebr. Appl. 208/209, 29-36 (1993).
-
(1993)
Linear Algebr. Appl.
, vol.208-209
, pp. 29-36
-
-
Choi, M.D.1
Ruskai, M.B.2
Seneta, E.3
-
3
-
-
0000990533
-
Beyond strong subadditivity? Improved bounds on the contraction of generalized relative entropy
-
M. B. Ruskai, "Beyond strong subadditivity? Improved bounds on the contraction of generalized relative entropy," Rev. Math. Phys. 6, 1147-1161 (1994).
-
(1994)
Rev. Math. Phys.
, vol.6
, pp. 1147-1161
-
-
Ruskai, M.B.1
-
4
-
-
84968505420
-
An extended Čencov characterization of the information metric
-
L. L. Campbell, "An extended Čencov characterization of the information metric," Proc. Am. Math. Soc. 98, 135-141 (1986).
-
(1986)
Proc. Am. Math. Soc.
, vol.98
, pp. 135-141
-
-
Campbell, L.L.1
-
5
-
-
0009226254
-
Statistical decision rules and optimal inferences
-
American Mathematical Society, Providence
-
N. N. Čencov, Statistical Decision Rules and Optimal Inferences, Transl. Math. Monogr. 53 (American Mathematical Society, Providence, 1982).
-
(1982)
Transl. Math. Monogr.
, vol.53
-
-
Čencov, N.N.1
-
6
-
-
0002486043
-
Markov invariant geometry on state manifolds
-
in Russian
-
E. A. Morozova and N. N. Čencov, "Markov invariant geometry on state manifolds," Itogi Nauk Tekhn 36, 69-102 (1990) (in Russian).
-
(1990)
Itogi Nauk Tekhn
, vol.36
, pp. 69-102
-
-
Morozova, E.A.1
Čencov, N.N.2
-
7
-
-
0009214701
-
Information geometry on quantum states
-
Hungarian Academy of Sciences preprint No. 39, 1995, edited by R. L. Hudson et al. World Scientific, Singapore
-
D. Petz, "Information geometry on quantum states," Hungarian Academy of Sciences preprint No. 39, 1995, in Quantum Probability Communications, edited by R. L. Hudson et al. (World Scientific, Singapore, 1998.), Vol. 10, pp. 135-158.
-
(1998)
Quantum Probability Communications
, vol.10
, pp. 135-158
-
-
Petz, D.1
-
8
-
-
0030501619
-
Monotone metrics on matrix spaces
-
D. Petz, "Monotone metrics on matrix spaces," Linear Algebr. Appl. 244, 81-96 (1996).
-
(1996)
Linear Algebr. Appl.
, vol.244
, pp. 81-96
-
-
Petz, D.1
-
9
-
-
0030544975
-
Geometries of quantum states
-
D. Petz and Cs. Sudar, "Geometries of quantum states," J. Math. Phys. 37, 2662-2673 (1996).
-
(1996)
J. Math. Phys.
, vol.37
, pp. 2662-2673
-
-
Petz, D.1
Sudar, Cs.2
-
11
-
-
0009226255
-
Contraction of generalized relative entropy under stochastic mappings
-
D. Petz and M. B. Ruskai, "Contraction of generalized relative entropy under stochastic mappings," Quantum Probab. Infinite Dimensional Anal. 1, 83-89 (1998).
-
(1998)
Quantum Probab. Infinite Dimensional Anal.
, vol.1
, pp. 83-89
-
-
Petz, D.1
Ruskai, M.B.2
-
12
-
-
85008097854
-
Relative entropy of state of von Neumann algebras
-
H. Araki. "Relative entropy of state of von Neumann algebras," Publ. RIMS Kyoto Univ. 9, 809-833 (1976).
-
(1976)
Publ. RIMS Kyoto Univ.
, vol.9
, pp. 809-833
-
-
Araki, H.1
-
13
-
-
0009144298
-
Recent progress in entropy and relative entropy
-
edited by R. Seneor and M. Mebkhout World Scientific, Singapore
-
H. Araki, "Recent progress in entropy and relative entropy," Proceedings of the VIIIth International Congress on Mathematical Physics, edited by R. Seneor and M. Mebkhout (World Scientific, Singapore, 1987), pp. 354-365.
-
(1987)
Proceedings of the VIIIth International Congress on Mathematical Physics
, pp. 354-365
-
-
Araki, H.1
-
16
-
-
0002988067
-
Quasi-entropies for finite quantum systems
-
D. Petz, "Quasi-entropies for finite quantum systems" Rep. Math. Phys. 23, 57-65 (1986).
-
(1986)
Rep. Math. Phys.
, vol.23
, pp. 57-65
-
-
Petz, D.1
-
17
-
-
84968466834
-
Positive functions on C*-algebras
-
W. F. Stinespring, "Positive functions on C*-algebras," Proc. Am. Math. Soc. 6, 211-216 (1955).
-
(1955)
Proc. Am. Math. Soc.
, vol.6
, pp. 211-216
-
-
Stinespring, W.F.1
-
18
-
-
34250491179
-
Subalgebras of C*-algebras
-
W. B. Arveson, "Subalgebras of C*-algebras," Acta Math. 123, 141-224 (1969).
-
(1969)
Acta Math.
, vol.123
, pp. 141-224
-
-
Arveson, W.B.1
-
19
-
-
0016522050
-
Completely positive linear maps on complex matrices
-
M.-D. Choi, "Completely positive linear maps on complex matrices," Linear Algebr. Appl. 10, 285-290 (1975).
-
(1975)
Linear Algebr. Appl.
, vol.10
, pp. 285-290
-
-
Choi, M.-D.1
-
21
-
-
0001930151
-
Completely positive maps and entropy inequalities
-
G. Lindblad, "Completely positive maps and entropy inequalities," Commun. Math. Phys. 40, 147-151 (1975).
-
(1975)
Commun. Math. Phys.
, vol.40
, pp. 147-151
-
-
Lindblad, G.1
-
22
-
-
0000411043
-
Some operator inequalities of the Schwarz type
-
E. Lieb and M. B. Ruskai, "Some operator inequalities of the Schwarz type," Adv. Math. 12, 269-273 (1974).
-
(1974)
Adv. Math.
, vol.12
, pp. 269-273
-
-
Lieb, E.1
Ruskai, M.B.2
-
24
-
-
0025209334
-
General entropy criteria for inverse problems, with applications to data compression, pattern classification and cluster analysis
-
L. K. Jones and C. L. Byrne, "General entropy criteria for inverse problems, with applications to data compression, pattern classification and cluster analysis," IEEE Trans. Inf. Theory 36, 23-30 (1990).
-
(1990)
IEEE Trans. Inf. Theory
, vol.36
, pp. 23-30
-
-
Jones, L.K.1
Byrne, C.L.2
-
25
-
-
0032025985
-
Entanglement measures and purification procedures
-
V. Vedral and M. B. Plenio, "Entanglement measures and purification procedures," Phys. Rev. A 57, 1619-1633 (1998).
-
(1998)
Phys. Rev. A
, vol.57
, pp. 1619-1633
-
-
Vedral, V.1
Plenio, M.B.2
-
26
-
-
0000472839
-
Means of positive linear operators
-
F. Kubo and T. Ando, "Means of positive linear operators," Math. Ann. 246, 205-224 (1980).
-
(1980)
Math. Ann.
, vol.246
, pp. 205-224
-
-
Kubo, F.1
Ando, T.2
-
27
-
-
36649022319
-
Convex trace functions and the Wigner-Yanase-Dyson conjecture
-
E. Lieb, "Convex trace functions and the Wigner-Yanase-Dyson conjecture," Adv. Math. 11, 267-288 (1973).
-
(1973)
Adv. Math.
, vol.11
, pp. 267-288
-
-
Lieb, E.1
-
28
-
-
0004967775
-
Proof of the strong subadditivity of quantum mechanical entropy
-
E. Lieb and M. B. Ruskai, "Proof of the strong subadditivity of quantum mechanical entropy," J. Math. Phys. 14, 1938-1941 (1973).
-
(1973)
J. Math. Phys.
, vol.14
, pp. 1938-1941
-
-
Lieb, E.1
Ruskai, M.B.2
-
29
-
-
5844266551
-
General properties of entropy
-
A. Wehrl, "General properties of entropy," Rev. Mod. Phys. 50, 221-260 (1978).
-
(1978)
Rev. Mod. Phys.
, vol.50
, pp. 221-260
-
-
Wehrl, A.1
-
30
-
-
0042030118
-
Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
-
A. Uhlmann, "Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory," Rev. Math. Phys. 54, 21-32 (1977).
-
(1977)
Rev. Math. Phys.
, vol.54
, pp. 21-32
-
-
Uhlmann, A.1
-
33
-
-
0001606571
-
The metric of Bures and the geometric phase
-
edited by R. Gielerak et al. Kluwer Academic, City
-
A. Uhlmann, "The metric of Bures and the geometric phase," in Groups and Related Topics, edited by R. Gielerak et al. (Kluwer Academic, City, 1992).
-
(1992)
Groups and Related Topics
-
-
Uhlmann, A.1
-
34
-
-
0000381412
-
Density operators as an arena for differential geometry
-
A. Uhlmann, "Density operators as an arena for differential geometry." Rep. Math. Phys. 33, 253-263 (1993).
-
(1993)
Rep. Math. Phys.
, vol.33
, pp. 253-263
-
-
Uhlmann, A.1
-
36
-
-
0037975326
-
Geometric phases and related structures
-
6A. Uhlmann, "Geometric phases and related structures," Rep. Math. Phys. 36, 461-481 (1995).
-
(1995)
Rep. Math. Phys.
, vol.36
, pp. 461-481
-
-
Uhlmann, A.1
-
37
-
-
0009148128
-
Spreading of sets in product spaces and hypercontraction of the Markov operator
-
R. Ahlswede and P. Gacs, "Spreading of sets in product spaces and hypercontraction of the Markov operator," Ann. Prob. 4, 925-939 (1976).
-
(1976)
Ann. Prob.
, vol.4
, pp. 925-939
-
-
Ahlswede, R.1
Gacs, P.2
|