Quantum Refrigeration with Indefinite Causal Order

Abstract

We propose a thermodynamic refrigeration cycle which uses Indefinite Causal Orders to achieve non-classical cooling. The cycle cools a cold reservoir while consuming purity in a control qubit. We first show that the application to an input state of two identical thermalizing channels of temperature $T$ in an indefinite causal order can result in an output state with a temperature not equal to $T$. We investigate the properties of the refrigeration cycle and show that thermodynamically, the result is compatible with unitary quantum mechanics in the circuit model but could not be achieved classically. We believe that this cycle could be implemented experimentally using tabletop photonics. Our result suggests the development of a new class of thermodynamic resource theories in which operations are allowed to be performed in an Indefinite Causal Order.

5 pages + 2 appendices, 3 figures, comments welcome

References in corpus (1)

• Towards Quantum Gravity: A Framework for Probabilistic Theories with Non-Fixed Causal Structure

Cited by in corpus (63)

• Quantum circuits with classical versus quantum control of causal order
• Work extraction from coherently activated maps via quantum switch
• Quantum and Classical Data Transmission through Completely Depolarising Channels in a Superposition of Cyclic Orders
• Experimental Aspects of Indefinite Causal Order in Quantum Mechanics
• Quantum operations with indefinite time direction
• Thermal devices powered by generalized measurements with indefinite causal order
• Thermodynamics of quantum switch information capacity activation
• Causal structure in the presence of sectorial constraints, with application to the quantum switch
• Quantum teleportation with relativistic communication from first principles
• Thermality, causality and the quantum-controlled Unruh-deWitt detector
• Exploring quantum thermodynamics with NMR
• Higher-order Process Matrix Tomography of a passively-stable Quantum SWITCH
• Evading noise in multiparameter quantum metrology with indefinite causal order
• Correlation-boosted quantum engine: A proof-of-principle demonstration
• Reassessing thermodynamic advantage from indefinite causal order
• Inferring the arrow of time in quantum spatiotemporal correlations
• Experimental demonstration of input-output indefiniteness in a single quantum device
• Indefinite Causal Orders from Superpositions in Time
• Experimental Realization of Self-Contained Quantum Refrigeration
• Quantum communication through devices with indefinite input-output direction
• Unification of spatiotemporal quantum formalisms: mapping between process and pseudo-density matrices via multiple-time states
• Experimental Validation of Enhanced Information Capacity by Quantum Switch in Accordance with Thermodynamic Laws
• Comparing the quantum switch and its simulations with energetically-constrained operations
• Embedding cyclic information-theoretic structures in acyclic spacetimes: no-go results for indefinite causality
• Activating information backflow with the assistance of quantum SWITCH
• Causal games of work extraction with indefinite causal order
• Maxwell's two-demon engine under pure dephasing noise
• Quantum switch in the gravity of Earth
• Breaking the limits of purification: Postselection enhances heat-bath algorithmic cooling
• Quantum switch instabilities with an open control
• Quantum networks boosted by entanglement with a control system
• Memory in quantum processes with indefinite time direction and causal order
• Quantum superposition of causal structures as a universal resource for local implementation of nonlocal quantum operations
• Activation of thermal states by coherently controlled thermalization processes
• Practical computational advantage from the quantum switch on a generalized family of promise problems
• Quantum Supermaps are Characterized by Locality
• Interplay between the Hilbert-space dimension of a control system and the memory induced by a quantum SWITCH
• Tsirelson bounds for quantum correlations with indefinite causal order
• Indefinite causal key distribution
• Indefinite Time Directed Quantum Metrology
• Quantum harvester enables energy transfer without randomness transfer or dissipation
• Parameter estimation via indefinite causal structures
• Superpositions of thermalisations in relativistic quantum field theory
• Emergent non-Markovianity and dynamical quantification of the quantum switch
• Expressibility, entangling power and quantum average causal effect for causally indefinite circuits
• Recovery of damaged information via scrambling in indefinite casual order
• Path superposition activating perfect quantum teleportation ability for separable states
• Multifold behavior of the information transmission by the quantum 3-switch
• Quantum switch as a thermodynamic resource in the context of passive states
• Enhancing the Performances of Autonomous Quantum Refrigerators via Two-Photon Transitions
• Enhancement of non-Stabilizerness within Indefinite Causal Order
• Signatures of causality and determinism in a quantum theory of events
• Sequential device-independent certification of indefinite causal order
• Thermodynamic criteria for signaling in quantum channels
• Optimal quantum precision in noise estimation: Is entanglement necessary?
• No quantum advantage for violating fixed-order inequalities?
• A Profunctorial Semantics for Quantum Supermaps
• Entropic uncertainty under indefinite causal order and input-output direction
• Estimation of multivariate traces of states given partial classical information
• Operational models of temperature superpositions
• Refrigeration with Indefinite Causal Orders on a Cloud Quantum Computer
• Correlations in a quantum switch-based heat engine with measurements: A proof-of-principle demonstration
• Optimal Thermalization under Indefinite Causal Order with Identical and Asymmetric Baths