Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
Bruno Bertini, Katja Klobas, Tsung-Cheng Lu
Abstract
We study the growth of entanglement between two adjacent regions in a tripartite, one-dimensional many-body system after a quantum quench. Combining a replica trick with a space-time duality transformation, we derive an exact, universal relation between the entanglement negativity and Rényi-1/2 mutual information that holds at times shorter than the sizes of all subsystems. Our proof is directly applicable to any local quantum circuit, i.e., any lattice system in discrete time characterized by local interactions, irrespective of the nature of its dynamics. Our derivation indicates that such a relation can be directly extended to any system where information spreads with a finite maximal velocity.
Topics & Concepts
Quantum entanglementMutual informationDuality (order theory)PhysicsQuantum mutual informationQuantumNegativity effectQuantum informationQuantum systemAmplitude damping channelStatistical physicsLink (geometry)ReplicaQuantum discordTransformation (genetics)Quantum mechanicsMathematicsPure mathematicsCombinatoricsStatisticsChemistryBiochemistryGeneSocial psychologyVisual artsArtPsychologyQuantum many-body systemsQuantum Computing Algorithms and ArchitectureQuantum and electron transport phenomena