One-shot assisted concentration of coherence

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.

arXiv comment13 pages

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Cited by in corpus (12)

• Experimental progress on quantum coherence: detection, quantification, and manipulation
• Quantum coherence and state conversion: theory and experiment
• One-Shot Coherence Distillation: Towards Completing the Picture
• Non-asymptotic assisted distillation of quantum coherence
• Coherence measure: Logarithmic coherence number
• One-shot Coherence Distillation with Catalysts
• Epsilon-smooth measure of coherence
• Inequivalent Multipartite Coherence Classes and New Coherence Monotones
• Field assisted extraction and swelling of quantum coherence for moving Unruh-DeWitt detectors
• Dense Coding with Locality Restriction for Decoder: Quantum Encoders vs. Super-Quantum Encoders
• Simple Bounds for One-shot Pure-State Distillation in General Resource Theories
• Hierarchy of quantum operations in manipulating coherence and entanglement