Certifying quantum signatures in thermodynamics and metrology via contextuality of quantum linear response

Abstract

We identify a fundamental difference between classical and quantum dynamics in the linear response regime by showing that the latter is in general contextual. This allows us to provide an example of a quantum engine whose favorable power output scaling \emph{unavoidably} requires nonclassical effects in the form of contextuality. Furthermore, we describe contextual advantages for local metrology. Given the ubiquity of linear response theory, we anticipate that these tools will allow one to certify the nonclassicality of a wide array of quantum phenomena.

5+8 pages. Close to published version (correct version now uploaded)

References in corpus (3)

• Is the quantum state real? An extended review of $\psi$-ontology theorems
• A quantum heat engine with coupled superconducting resonators
• Quantum and classical dynamics of a three-mode absorption refrigerator

Cited by in corpus (58)

• Thermodynamic uncertainty relation in slowly driven quantum heat engines
• Unifying Quantum and Classical Speed Limits on Observables
• Negative quasiprobabilities enhance phase estimation in quantum-optics experiment
• Quantum advantage in charging cavity and spin batteries by repeated interactions
• Quantifying quantum coherence via nonreal Kirkwood-Dirac quasiprobability
• Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
• Thermally driven quantum refrigerator autonomously resets superconducting qubit
• Why interference phenomena do not capture the essence of quantum theory
• Work extraction from coherently activated maps via quantum switch
• Thermodynamics of precision in quantum nano-machines
• Uniqueness of noncontextual models for stabilizer subtheories
• Quantum finite-time thermodynamics: insight from a single qubit engine
• Properties and Applications of the Kirkwood-Dirac Distribution
• Quasiprobabilities in quantum thermodynamics and many-body systems
• What is nonclassical about uncertainty relations?
• Projective measurements can probe non-classical work extraction and time-correlations
• Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality
• Experimental certification of contextuality, coherence and dimension in a programmable universal photonic processor
• Operational interpretation and estimation of quantum trace-norm asymmetry based on weak value measurement and some bounds
• Contextuality without incompatibility
• Quantum coherence as asymmetry from complex weak values
• Coherence and contextuality in a Mach-Zehnder interferometer
• Exploring quasiprobability approach to quantum work in the presence of initial coherence: Advantages of the Margenau-Hill distribution
• Non-Abelian transport distinguishes three usually equivalent notions of entropy production
• Inequalities witnessing coherence, nonlocality, and contextuality
• Kirkwood-Dirac representations beyond quantum states (and their relation to noncontextuality)
• Characterizing the geometry of the Kirkwood-Dirac positive states
• Contextuality as a Precondition for Quantum Entanglement
• A linear program for testing nonclassicality and an open-source implementation
• Contextuality with vanishing coherence and maximal robustness to dephasing
• General quantum correlation from nonreal values of Kirkwood-Dirac quasiprobability over orthonormal product bases
• A review and reformulation of macroscopic realism: resolving its deficiencies using the framework of generalized probabilistic theories
• Catalytic advantage in Otto-like two-stroke quantum engines
• Nonclassical advantage in metrology established via quantum simulations of hypothetical closed timelike curves
• Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios
• Thermodynamic Approach to Quantifying Incompatible Instruments
• Kirkwood-Dirac classical pure states
• Contextuality in anomalous heat flow
• Alternative robust ways of witnessing nonclassicality in the simplest scenario
• Snapshotting Quantum Dynamics at Multiple Time Points
• Quantum thermodynamic advantage in work extraction from steerable quantum correlations
• Shadows and subsystems of generalized probabilistic theories: when tomographic incompleteness is not a loophole for contextuality proofs
• Quantum refrigeration powered by noise in a superconducting circuit
• Connecting XOR and XOR* games
• Robustness of contextuality under different types of noise as quantifiers for parity-oblivious multiplexing tasks
• Quantum entanglement as an extremal Kirkwood-Dirac nonreality
• Separation of measurement uncertainty into quantum and classical parts based on Kirkwood-Dirac quasiprobability and generalized entropy
• Geometry of Kirkwood-Dirac classical states: A case study based on discrete Fourier transform
• Emergence of noncontextuality under quantum Darwinism
• Sufficiency of the counterfactual account of Lüders' rule to rule out ontological models of quantum mechanics
• Contextuality Can be Verified with Noncontextual Experiments
• Complete characterisation of state conversions by work extraction
• Probing Kirkwood-Dirac nonpositivity and its operational implications via moments
• Quantum Fisher information from tensor network integration of Lyapunov equation
• General quantum resources providing advantages in work-extraction tasks
• Decoupling local classicality from classical explainability: A noncontextual model for bilocal classical theory and a locally-classical but contextual theory
• Almost no experiments have classical Kirkwood-Dirac representations
• Typicality of Contextuality