Enhancing coherence of a state by stochastic strictly incoherent operations

TL;DR

This paper investigates how stochastic strictly incoherent operations can enhance quantum coherence, establishing conditions for pure states to reach maximal coherence and showing mixed states cannot achieve this.

Contribution

It provides a criterion for pure states to become maximally coherent and demonstrates the limitations for mixed states under stochastic strictly incoherent operations.

Findings

Pure states with all nonzero components can be transformed into maximally coherent states.

Mixed states cannot be transformed into maximally coherent states.

Derived the maximal coherence value achievable under stochastic strictly incoherent operations.

Abstract

In this paper, we address the issue of enhancing coherence of a state under stochastic strictly incoherent operations. Based on the $l_1$ norm of coherence, we obtain the maximal value of coherence that can be achieved for a state undergoing a stochastic strictly incoherent operation and the maximal probability of obtaining the maximal coherence. Our findings indicate that a pure state can be transformed into a maximally coherent state under a stochastic strictly incoherent operation if and only if all the components of the pure state are nonzero while a mixed state can never be transformed into a maximally coherent state under a stochastic strictly incoherent operation.