What bipartite states are lazy

Abstract

A bipartite state is called lazy if the entropy rate of one subsystem is vanishing for any coupling to the other subsystem. In this paper, we provide a necessary and sufficient condition for a finite-dimensional bipartite state to be lazy, and prove that a two-mode Gaussian state is lazy if and only if it is a direct product state.

7 pages, no figure. With corrections to version 1

References in corpus (2)

• Quantum information with Gaussian states
• Lazy states: sufficient and necessary condition for zero quantum entropy rates under any coupling to the environment