Approximate distillation of quantum coherence

Abstract

Coherence distillation is a basic information-theoretic task in the resource theory of coherence. In this paper, we develop the framework of the approximate coherence distillation under strictly incoherent operations. This protocol considers the situation that we cannot transform an initial state $\rho$ into a target state $\psi$ with certainty; instead, we aim to deterministically transform the initial state $\rho$ into an intermediate state $\varphi$ that is most approximate to the target state $\psi$ in terms of fidelity. We also present the explicit conversion strategy of the approximate coherence distillation.

7 pages

References in corpus (6)

• Quantifying Superposition
• One-Shot Operational Quantum Resource Theory
• Catalyst-Assisted Probabilistic Coherence Distillation for Mixed States
• Enhancing coherence of a state by stochastic strictly incoherent operations
• Optimal probabilistic distillation of quantum coherence
• Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations

Cited by in corpus (4)

• Coherence filtration under strictly incoherent operations
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Coherence, superposition, and Löwdin symmetric orthogonalization
• Probabilistic Coherence Transformation Under Strictly Incoherent Operation