Maximal steered coherence and its conversion to entanglement in multiple bosonic reservoirs

TL;DR

This paper explores how maximal steered coherence (MSC) behaves in bosonic reservoirs, its relation to non-Markovianity, and how it can be converted into stronger entanglement for quantum information applications.

Contribution

It demonstrates the decay and oscillation patterns of MSC in different regimes, links MSC to non-Markovianity, and shows optimal conversion of MSC into entanglement.

Findings

MSC decays in Markovian regime and oscillates in non-Markovian regime.

MSC can be enhanced by exploiting non-Markovian effects.

MSC can be fully converted into stronger entanglement using optimal incoherent operations.

Abstract

The remote control of coherence is a crucial step for its application in quantum computation. We investigate the maximal steered coherence (MSC) and its conversion to entanglement in multiple bosonic reservoirs. It is shown that the MSC decays with time in the Markovian regime and behaves as damped oscillations in the non-Markovian regime. The MSC can also be connected directly to the strength of non-Markovianity, through which we show that it can be noticeably enhanced by taking full advantage of the non-Markovian effects. Besides, the MSC can be converted completely to entanglement via optimal incoherent operation applied to the steered qubit and an incoherent ancilla which is immune of decoherence, and the generated entanglement is stronger than the shared entanglement in prior. These findings suggest a potential way for remotely generating and manipulating coherence and entanglement in noisy environments.