One-shot assisted concentration of coherence

TL;DR

This paper establishes one-shot bounds for the assisted concentration of quantum coherence, where one party helps another via classical communication, and confirms these bounds align with known asymptotic rates.

Contribution

It introduces the first one-shot bounds for assisted coherence concentration and demonstrates their consistency with asymptotic results.

Findings

Derived one-shot bounds for assisted coherence concentration.

Showed bounds recover asymptotic rates in the limit.

Validated the bounds through theoretical analysis.

Abstract

We find one-shot bounds for concentration of maximally coherent states in the so called assisted scenario. In this setting, Bob is restricted to performing incoherent operations on his quantum system, however he is assisted by Alice, who holds a purification of Bob's state and can send classical data to him. We further show that in the asymptotic limit our one-shot bounds recover the previously computed rate of asymptotic assisted concentration.