Entangling power of quantum chaotic evolutions via operator entanglement

TL;DR

This paper investigates the operator entanglement generated by quantum chaotic evolutions, demonstrating that it serves as an intrinsic measure of an operator’s entangling power, independent of initial states.

Contribution

It establishes that operator entanglement in quantum chaos is qualitatively similar to pure state entanglement, defining it as an intrinsic, state-independent measure.

Findings

Operator entanglement production mirrors pure state entanglement properties

Operator entanglement quantifies intrinsic entangling power

Measure is independent of initial states

Abstract

We study operator entanglement of the quantum chaotic evolutions. This study shows that properties of the operator entanglement production are qualitatively similar to the properties reported in literature about the pure state entanglement production. This similarity establishes that the operator entanglement quantifies {\it intrinsic} entangling power of an operator. The term `intrinsic' suggests that this measure is independent of any specific choice of initial states.