Improved bound on entropy production in a quantum annealer

Abstract

For a system described by a multivariate probability density function obeying the fluctuation theorem, the average dissipation is lower-bounded by the degree of asymmetry of the marginal distributions (namely the relative entropy between the marginal and its mirror image). We formally prove that such lower bound is tighter than the recently reported bound expressed in terms of the precision of the marginal (i.e., the thermodynamic uncertainty relation) and is saturable. We illustrate the result with examples and we apply it to achieve the most accurate experimental estimation of dissipation associated to quantum annealing to date.

arXiv comment6 pages, 2 figures. v03: Introduction majorly revised and title changed. Accepted in PRE (Letter)

References in corpus (26)

• Quantum Computing in the NISQ era and beyond
• Rényi Divergence and Kullback-Leibler Divergence
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Thermodynamic uncertainty relation for biomolecular processes
• Quantum Thermodynamic Cycles and quantum heat engines
• Quantum Annealing and Analog Quantum Computation
• Dissipation: The phase-space perspective
• Generalized Clausius inequality for nonequilibrium quantum processes
• Estimating dissipation from single stationary trajectories
• Entropy production and the arrow of time
• Thermodynamic uncertainty relations from exchange fluctuation theorems
• Fluctuation theorem for currents in open quantum systems
• Quantifying dissipation using fluctuating currents
• Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
• Quantum Measurement Cooling
• Dissipation and lag in irreversible processes
• Inferring broken detailed balance in the absence of observable currents
• Entropy production along nonequilibrium quantum jump trajectories
• Improved bounds on entropy production in living systems
• Stochastic thermodynamics: From principles to the cost of precision
• Influence of measurements on the statistics of work performed on a quantum system
• Dissipation, Correlation and Lags in Heat Engines
• Uncertainty relation under information measurement and feedback control
• Experimental test of fluctuation relations for driven open quantum systems with an NV center
• Comment on "Fluctuation Theorem Uncertainty Relation" and "Thermodynamic Uncertainty Relations from Exchange Fluctuation Theorems"

Cited by in corpus (16)

• Quantum technologies need a Quantum Energy Initiative
• Efficiency Optimization in Quantum Computing: Balancing Thermodynamics and Computational Performance
• Fluctuation theorems and thermodynamic uncertainty relations
• Thermodynamic uncertainty relation from involutions
• Detailed fluctuation theorem bounds apparent violations of the second law
• Lower bound for entropy production rate in stochastic systems far from equilibrium
• Thermodynamic Skewness Relation From Detailed Fluctuation Theorem
• Diagnostics of quantum-gate coherences via end-point-measurement statistics
• DQC1 as an Open Quantum System
• Fluctuation theorems and expected utility hypothesis
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware
• Work Fluctuations in Ergotropic Heat Engines
• Quantum-inspired dynamical models on quantum and classical annealers
• Third law of thermodynamics and the scaling of quantum computers
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
• Thermodynamic significance of QUBO encoding on quantum annealers