Mutual information of excited states and relative entropy of two disjoint subsystems in CFT

Abstract

In this paper, we first study mutual information of excited states in the small subsystem size limit in generic conformal field theory. We then discuss relative entropy of two disjoint subsystems in the same limit.

18 pages

References in corpus (6)

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• The g-theorem and quantum information theory
• Tomography from Entanglement
• Relative entropy of excited states in two dimensional conformal field theories
• Relative entropy and the RG flow
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• Subsystem trace distance in low-lying states of $(1+1)$-dimensional conformal field theories
• Local quenches, bulk entanglement entropy and a unitary Page curve
• Long-distance entanglement of purification and reflected entropy in conformal field theory
• Towards an Entanglement Measure for Mixed States in CFTs Based on Relative Entropy
• Properties of Modular Hamiltonians on Entanglement Plateaux
• Mutual information from modular flow in CFTs