Combinatorics

Quantum entanglement

Physics

Quantum discord

Mutual information

Pure mathematics

Replica

Link (geometry)

Mathematics

Negativity effect

Gene

Statistical physics

Statistics

Visual arts

Psychology

Quantum information

Chemistry

Transformation (genetics)

Amplitude damping channel

Duality (order theory)

Quantum system

Quantum mechanics

Biochemistry

Quantum mutual information

Social psychology

Quantum

Physical Review Letters

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.

Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality