Holography and quantum information exchange between systems

TL;DR

This paper investigates the real-time quantum information exchange between holographically connected systems in AdS spacetime, revealing how excitation states and entropy influence information flow and complexity.

Contribution

It provides a holographic analysis of information exchange dynamics, highlighting the impact of system excitations and entropy on quantum information flow and circuit complexity.

Findings

Excited states reduce information exchange compared to ground states.

Increased entropy correlates with decreased information flow.

Excitations lead to reduced circuit complexity at small times.

Abstract

We estimate the net information exchange between adjacent quantum subsystems holographically living on the boundary of $AdS$ spacetime. The information exchange is a real time phenomenon and only after long time interval it may get saturated. Normally we prepare systems for small time intervals and measure the information exchange over finite interval only. We find that the information flow between entangled subsystems gets reduced if systems are in excited state whereas the ground state allows maximum information flow at any given time. Especially for $CFT_2$ we exactly show that a rise in the entropy is detrimental to the information exchange by a quantum dot and vice-versa. We next observe that there is a reduction in circuit (CV) complexity too in the presence of excitations for small times.