Entangling protocols due to non-Markovian dynamics

TL;DR

This paper investigates how non-Markovian dynamics can be exploited as a resource to enhance entanglement generation in quantum systems through optimal control protocols.

Contribution

It demonstrates that non-Markovianity is essential for successful entangling protocols and shows how it can be exploited in quantum control to generate entanglement.

Findings

Non-Markovianity is crucial for entangling protocols.

Degree of NM determines success of entanglement generation.

Protocols only achievable due to environment-induced NM.

Abstract

It is widely spread in the literature that non-Markovianity (NM) may be regarded as a resource in quantum mechanics. However, it is still unclear how and when this alleged resource may be exploited. Here, we study the relationship between NM and quantum optimal control under the objective of generating entanglement within M non-interacting subsystems, each one coupled to the same non-Markovian environment. Thus, we design a variety of entangling protocols that are only achievable due to the existence of the environment. We show that NM plays a crucial role in all the entangling protocols considered, revealing that the degree of NM completely determines the success of the entangling operation performed by the control. This is a demonstration of the virtues of NM and the way that it can be exploited in a general entangling setup.