Results 11 to 20 of about 492,681 (274)
Relative entropy and catalytic relative majorization [PDF]
Physical Review Research, 2020 Given two pairs of quantum states, a fundamental question in the resource theory of asymmetric distinguishability is whether there exists a quantum channel converting one pair to the other.
Soorya Rethinasamy, Mark M. Wilde
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Advances in Mathematics, 2017 By using Araki's relative entropy, Lieb's convexity and the theory of singular integrals, we compute the mutual information associated with free fermions, and we deduce many results about entropies for chiral CFT's which are embedded into free fermions ...
Longo, Roberto, Xu, Feng
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Entanglement entropy, relative entropy and duality [PDF]
Journal of High Energy Physics, 2019 A definition for the entanglement entropy in both Abelian and non-Abelian gauge theories has been given in the literature, based on an extended Hilbert space construction.
Upamanyu Moitra +2 more
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Relative Entropy Derivative Bounds [PDF]
Entropy, 2013 We show that the derivative of the relative entropy with respect to its parameters is lower and upper bounded. We characterize the conditions under which this derivative can reach zero.
Pablo Zegers +2 more
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Tight bound on relative entropy by entropy difference [PDF]
IEEE Transactions on Information Theory, 2015 We prove a lower bound on the relative entropy between two finite-dimensional states in terms of their entropy difference and the dimension of the underlying space.
Reeb, David, Wolf, Michael M.
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All Inequalities for the Relative Entropy [PDF]
Communications in Mathematical Physics, 2005 The relative entropy of two n-party quantum states is an important quantity exhibiting, for example, the extent to which the two states are different. The relative entropy of the states formed by reducing two n-party to a smaller number $m$ of parties is
A. Shamir +22 more
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An Integral Representation of the Relative Entropy [PDF]
Entropy, 2012 Recently the identity of de Bruijn type between the relative entropy and the relative Fisher information with the reference moving has been unveiled by Verdú via MMSE in estimation theory.
Miku Hirata, Aya Nemoto, Hiroaki Yoshida
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Relative Entropy and Torsion Coupling [PDF]
Physical Review D, 2016 We evaluate the relative entropy on a ball region near the UV fixed point of a holographic conformal field theory deformed by a fermionic operator of nonzero vacuum expectation value.
Lin, Feng-Li, Ning, Bo
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Relative entropy and holography [PDF]
Journal of High Energy Physics, 2013 Relative entropy between two states in the same Hilbert space is a fundamental statistical measure of the distance between these states. Relative entropy is always positive and increasing with the system size. Interestingly, for two states which are infinitesimally different to each other, vanishing of relative entropy gives a powerful equation $ΔS=ΔH$
Blanco, David Daniel +3 more
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Quantum conditional relative entropy and quasi-factorization of the relative entropy [PDF]
Journal of Physics A: Mathematical and Theoretical, 2018 v2: Final version, minor changes, 39 pages, 2 ...
Ángela Capel +2 more
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