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

References in corpus (50)

• Distillation of secret key and entanglement from quantum states
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• On the quantum, classical and total amount of correlations in a quantum state
• Quantum information can be negative
• The resource theory of quantum reference frames: manipulations and monotones
• Extending Noether's theorem by quantifying the asymmetry of quantum states
• Measuring the quality of a quantum reference frame: the relative entropy of frameness
• Kochen-Specker Contextuality
• Entanglement Theory and the Second Law of Thermodynamics
• Entanglement of assistance and multipartite state distillation
• Quantifying Superposition
• Universal quantum computation with little entanglement
• Resource theory of imaginarity: Quantification and state conversion
• Catalytic Conversion Probabilities for Bipartite Pure States
• Necessary and Sufficient Conditions for the Trumping Relation
• Tensor Rank and Stochastic Entanglement Catalysis for Multipartite Pure States
• Catalysis and activation of magic states in fault tolerant architectures
• Fault-Tolerant Postselected Quantum Computation: Schemes
• Experimental progress on quantum coherence: detection, quantification, and manipulation
• Catalytic quantum teleportation and beyond
• Quantum thermodynamics of correlated-catalytic state conversion at small-scale
• Distilling entanglement from arbitrary resources
• Quantum Relative Lorenz Curves
• Catalytic Transformations of Pure Entangled States
• Probing quantum correlations in many-body systems: a review of scalable methods
• Multiple-copy entanglement transformation and entanglement catalysis
• Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence
• Entropy and reversible catalysis
• Inequalities that Collectively Completely Characterize the Catalytic Majorization Relation
• Smoothed generalized free energies for thermodynamics
• On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
• Fundamental Limits on Correlated Catalytic State Transformations
• Entanglement and coherence in Bernstein-Vazirani algorithm
• Operational definition of the temperature of a quantum state
• Tight constraints on probabilistic convertibility of quantum states
• Catalyst-Assisted Probabilistic Coherence Distillation for Mixed States
• Is there a finite complete set of monotones in any quantum resource theory?
• Optimizing thermalizations
• Correlations in typicality and an affirmative solution to the exact catalytic entropy conjecture
• Neither Contextuality nor Nonlocality Admits Catalysts
• Catalytic leverage of correlations and mitigation of dissipation in Information erasure
• Catalytic Transformations in Coherence Theory
• The Min-entropy as a Resource for One-Shot Private State Transfer, Quantum Masking and State Transition
• Entanglement-assisted transformation is asymptotically equivalent to multiple-copy transformation
• Trade-off between multiple-copy transformation and entanglement catalysis
• One-shot manipulation of entanglement for quantum channels
• Catalytic Gaussian thermal operations
• Delocalized and Dynamical Catalytic Randomness and Information Flow
• Necessary conditions on effective quantum entanglement catalysts
• 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
• Entanglement catalysis for quantum states and noisy channels
• 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
• Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
• Multipartite Embezzlement of Entanglement
• Coherence via reiterated beam splitting
• 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