Results 11 to 20 of about 114,837 (257)
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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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 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 Abstract The existence of a positive log-Sobolev constant implies a bound on the mixing time of a quantum dissipative evolution under the Markov approximation. For classical spin systems, such constant was proven to exist, under the assumption of a mixing condition in the Gibbs measure associated to their dynamics,
Ángela Capel +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. The inequality is tight in the sense that equality can be attained for any prescribed value of the entropy difference, both for quantum and classical systems.
David Reeb, Michael M. Wolf
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Asymptotic Relative Entropy of Entanglement [PDF]
Physical Review Letters, 2001 We present an analytical formula for the asymptotic relative entropy of entanglement for Werner states of arbitrary dimension. We then demonstrate its validity using methods from convex optimization. To our knowledge, this is the first case in which the value of a subadditive entanglement measure has been obtained in the asymptotic limit.
Audenaert, K. +5 more
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Journal of High Energy Physics, 2018 One characteristic feature of a chaotic system is the quick delocalization of quantum information (fast scrambling). One therefore expects that in such a system a state quickly becomes locally indistinguishable from its perturbations.
Yuya O. Nakagawa +2 more
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Relative Entropy in Diffusive Relaxation [PDF]
SIAM Journal on Mathematical Analysis, 2013 We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum. The result is based on a Lyapunov type of functional provided by a calculation of the relative entropy.
Corrado Lattanzio +1 more
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Relative Entropy in Biological Systems
Entropy, 2016 In this paper we review various information-theoretic characterizations of the approach to equilibrium in biological systems. The replicator equation, evolutionary game theory, Markov processes and chemical reaction networks all describe the dynamics of ...
John C. Baez, Blake S. Pollard
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