Optimal distillation of quantum coherence with reduced waste of resources

Abstract

We present an optimal probabilistic protocol to distill quantum coherence. Inspired by a specific entanglement distillation protocol, our main result yields a strictly incoherent operation that produces one of a family of maximally coherent states of variable dimension from any pure quantum state. We also expand this protocol to the case where it is possible, for some initial states, to avert any waste of resources as far as the output states are concerned, by exploiting an additional transformation into a suitable intermediate state. These results provide practical schemes for efficient quantum resource manipulation.

arXiv comment5 pages, 2 figures

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Cited by in corpus (16)

• Completing the Grand Tour of asymptotic quantum coherence manipulation
• Resource theory of superposition: State transformations
• Optimal probabilistic distillation of quantum coherence
• Based-nonequilibrium-environment non-Markovianity, quantum Fisher information and quantum coherence
• Conversion of Gaussian states under incoherent Gaussian operations
• Approximate distillation of quantum coherence
• Quantum Fisher information and coherence of an atom in a dissipative cavity
• No-go theorems for deterministic purification and probabilistic enhancement of coherence
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Criterion for a state to be distillable via stochastic incoherent operations
• Coherence filtration under strictly incoherent operations
• Coherence, superposition, and Löwdin symmetric orthogonalization
• State convertibility under genuinely incoherent operations
• Golden states in resource theory of superposition
• Coherent preorder of quantum states
• Probabilistic Coherence Transformation Under Strictly Incoherent Operation