Catalytic Coherence

Abstract

Due to conservation of energy we cannot directly turn a quantum system with a definite energy into a superposition of different energies. However, if we have access to an additional resource in terms of a system with a high degree of coherence, as for standard models of laser light, we can overcome this limitation. The question is to what extent coherence gets degraded when utilized. Here it is shown that coherence can be turned into a catalyst, meaning that we can use it repeatedly without ever diminishing its power to enable coherent operations. This finding stands in contrast to the degradation of other quantum resources, and has direct consequences for quantum thermodynamics, as it shows that latent energy that may be locked into superpositions of energy eigenstates can be released catalytically.

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References in corpus (24)

• Reference frames, superselection rules, and quantum information
• The second laws of quantum thermodynamics
• Extractable work from ensembles of quantum batteries. Entanglement helps
• The resource theory of quantum reference frames: manipulations and monotones
• The thermodynamic meaning of negative entropy
• A complete family of separability criteria
• Work extraction and thermodynamics for individual quantum systems
• Entanglement Generation is Not Necessary for Optimal Work Extraction
• A Sharp Fannes-type Inequality for the von Neumann Entropy
• (Quantumness in the context of) Resource Theories
• One-and-a-half quantum de Finetti theorems
• Thermodynamics of discrete quantum processes
• The WAY theorem and the quantum resource theory of asymmetry
• Degradation of a quantum reference frame
• Driven Spin Systems as Quantum Thermodynamic Machines: Fundamental Limits
• Dynamics of a Quantum Reference Frame
• How energy conservation limits our measurements
• 'Measurement of Quantum Mechanical Operators' Revisited
• Position Measurements Obeying Momentum Conservation
• Extracting work from quantum systems
• Conservation-Law-Induced Quantum Limits for Physical Realizations of the Quantum NOT Gate
• Degradation of a quantum directional reference frame as a random walk
• Synchronizing quantum clocks with classical one-way communication: Bounds on the generated entropy
• How much work can a quantum device extract from a heat engine?

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• Perspective: Quantum Thermodynamics
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• Measuring Coherence with Entanglement Concurrence
• Maximally coherent mixed states: Complementarity between maximal coherence and mixedness
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• The role of coherence in the non-equilibrium thermodynamics of quantum systems
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• Fluctuations in extractable work bound the charging power of quantum batteries
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• Gibbs-Preserving Maps outperform Thermal Operations in the quantum regime
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• Coherence cost for violating conservation laws
• Quantum coherence as asymmetry from complex weak values
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• Imperfect Thermalizations Allow for Optimal Thermodynamic Processes
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