Entanglement and the Speed of Evolution in Mixed States

TL;DR

This paper investigates how entanglement influences the speed of quantum evolution in mixed states, revealing that unlike pure states, entanglement does not always accelerate evolution due to other factors like classical correlations and entropy.

Contribution

It provides a counterexample showing entanglement's limited role in mixed states and highlights additional factors affecting quantum evolution speed.

Findings

Entanglement accelerates pure state evolution as expected.

In mixed states, entanglement does not necessarily speed up evolution.

Classical correlations and entropy also influence the evolution speed.

Abstract

Entanglement speeds up evolution of a pure bipartite spin state, in line with the time energy uncertainty. However if the state is mixed this is not necessarily the case. We provide a counter example and point to other factors affecting evolution in mixed states, including classical correlations and entropy.