BEYOND STRONG SUBADDITIVITY? IMPROVED BOUNDS ON THE CONTRACTION OF GENERALIZED RELATIVE ENTROPY
1994 ◽
Vol 06
(05a)
◽
pp. 1147-1161
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Keyword(s):
New bounds are given on the contraction of certain generalized forms of the relative entropy of two positive semi-definite operators under completely positive mappings. In addition, several conjectures are presented, one of which would give a strengthening of strong subadditivity. As an application of these bounds in the classical discrete case, a new proof of 2-point logarithmic Sobolev inequalities is presented in an Appendix.
2013 ◽
Vol 264
(1)
◽
pp. 34-61
◽
Keyword(s):
2015 ◽
Vol 18
(02)
◽
pp. 1550011
◽
1999 ◽
Vol 35
(4)
◽
pp. 483-508
◽
2000 ◽
Vol 174
(2)
◽
pp. 430-477
◽
Keyword(s):