Evolution equation of entanglement for general bipartite systems

TL;DR

This paper derives a general evolution equation for entanglement in bipartite systems under noisy channels, extending previous results and aiding experimental characterization of entanglement dynamics.

Contribution

It introduces a universal factorization law for entanglement evolution applicable to multi-qubit and qubit-qudit systems under noise.

Findings

Entanglement dynamics determined by channel's action on maximally entangled state

General factorization law for entanglement evolution in multi-qubit systems

Results extend previous two-qubit case to more complex systems

Abstract

We explore how entanglement of a general bipartite system evolves when one subsystem undergoes the action of an arbitrary noisy channel. It is found that the dynamics of entanglement for general bipartite systems under the influence of such channel is determined by the channel's action on the maximally entangled state, which includes as a special case the results for two-qubit systems [Nature Physics 4, 99 (2008)]. In particular, for multi-qubit or qubit-qudit systems, we get a general factorization law for evolution equation of entanglement with one qubit being subject to a noisy channel. Our results can help the experimental characterization of entanglement dynamics.