Conditional mutual information of bipartite unitaries and scrambling

• Published in: The journal of high energy physics Vol. 2016; no. 12; pp. 1 - 32
• Main Authors: Ding, Dawei, Hayden, Patrick, Walter, Michael
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2016; Springer Nature B.V
• Subjects: Channels; Chaos theory; Classical and Quantum Gravitation; Correlation; Depolarization; Elementary Particles; High energy physics; Information theory; Physics; Physics and Astronomy; Proximity; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Recoverability; Regular Article - Theoretical Physics; Relativity Theory; Robustness; String Theory; AdS-CFT Correspondence; Gauge-gravity correspondence; Random Systems

A bstract One way to diagnose chaos in bipartite unitary channels is via the tripartite information of the corresponding Choi state, which for certain choices of the subsystems reduces to the negative conditional mutual information (CMI). We study this quantity from a quantum information-theoretic p...