Catalysis of entanglement and other quantum resources

Abstract

In chemistry, a catalyst is a substance which enables a chemical reaction or increases its rate, while remaining unchanged in the process. Instead of chemical reactions, quantum catalysis enhances our ability to convert quantum states into each other under physical constraints. The nature of the constraints depends on the problem under study and can arise, e.g., from energy preservation. This article reviews the most recent developments in quantum catalysis and gives a historical overview of this research direction. We focus on the catalysis of quantum entanglement and coherence, and also discuss this phenomenon in quantum thermodynamics and general quantum resource theories. We review applications of quantum catalysis and also discuss the recent efforts on universal catalysis, where the quantum state of the catalyst does not depend on the states to be transformed. Catalytic embezzling is also considered, a phenomenon that occurs if the catalyst's state can change in the transition.

41 pages, 3 figures, close to published version

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• An Equivalence of Entanglement-Assisted Transformation and Multiple-Copy Entanglement Transformation

Cited by in corpus (30)

• Fundamental limits on anomalous energy flows in correlated quantum systems
• Heat as a witness of quantum properties
• Catalysis in Action via Elementary Thermal Operations
• No-go theorem for entanglement distillation using catalysis
• Coherence manipulation in asymmetry and thermodynamics
• Catalytic advantage in Otto-like two-stroke quantum engines
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• Catalytic and asymptotic equivalence for quantum entanglement
• Complete Characterization of Entanglement Embezzlement
• Quantum catalysis in cavity quantum electrodynamics
• Entanglement generation from athermality
• Second Law of Entanglement Manipulation with Entanglement Battery
• Catalytic transformations for thermal operations
• Catalytic enhancement in the performance of the microscopic two-stroke heat engine
• Teleportation with Embezzling Catalysts
• Revisiting Pure State Transformations with Zero Communication
• Communication with Quantum Catalysts
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• Multipartite Embezzlement of Entanglement
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• Single-shot entanglement manipulation of states and channels revisited
• Sufficiency of Rényi divergences
• Experimental Catalytic Amplification of Asymmetry
• Multipartite entanglement theory with entanglement-nonincreasing operations
• Catalytic Activation of Bell Nonlocality
• One-Shot Distributed Source Simulation: As Quantum as it Can Get
• Advantage of flexible catalysis for entanglement and quantum thermodynamics
• Finite-size catalysis in quantum resource theories
• Impact of quadrature measurement on quantum coherence
• A finite sufficient set of conditions for catalytic majorization