Thermodynamics of quantum switch information capacity activation

Abstract

We address a new setting where the second law is under question: thermalizations in a quantum superposition of causal orders, enacted by the so-called quantum switch. This superposition has been shown to be associated with an increase in the communication capacity of the channels, yielding an apparent violation of the data-processing inequality and a possibility to separate hot from cold. We analyze the thermodynamics of this information capacity increasing process. We show how the information capacity increase is compatible with thermodynamics. We show that there may indeed be an information capacity increase for consecutive thermalizations obeying the first and second laws of thermodynamics if these are placed in an indefinite order and moreover that only a significantly bounded increase is possible. The increase comes at the cost of consuming a thermodynamic resource, the free energy of coherence associated with the switch.

6+7pages,4 figures

References in corpus (11)

• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Quantum coherence, time-translation symmetry and thermodynamics
• The thermodynamic meaning of negative entropy
• Quantum Circuits Architecture
• Collision-model-based approach to non-Markovian quantum dynamics
• Quantum Refrigeration with Indefinite Causal Order
• Quantum Temporal Superposition: the case of QFT
• Thermodynamic advancement in the causally inseparable occurrence of thermal maps
• Quantum and Classical Data Transmission through Completely Depolarising Channels in a Superposition of Cyclic Orders
• Quantum superposition of thermodynamic evolutions with opposing time's arrows
• Inferring work by quantum superposing forward and time-reversal evolutions

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• Experimental Realization of Self-Contained Quantum Refrigeration
• Experimental Validation of Enhanced Information Capacity by Quantum Switch in Accordance with Thermodynamic Laws
• Experimentally demonstrating indefinite causal order algorithms to solve the generalized Deutsch's problem
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• Interplay between the Hilbert-space dimension of a control system and the memory induced by a quantum SWITCH
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• Emergent non-Markovianity and dynamical quantification of the quantum switch
• Superpositions of thermalisations in relativistic quantum field theory
• Thermodynamic criteria for signaling in quantum channels
• Entropic uncertainty under indefinite causal order and input-output direction