Quantum fluctuation theorem to benchmark quantum annealers

Abstract

Near term quantum hardware promises unprecedented computational advantage. Crucial in its development is the characterization and minimization of computational errors. We propose the use of the quantum fluctuation theorem to benchmark the performance of quantum annealers. This versatile tool provides simple means to determine whether the quantum dynamics are unital, unitary, and adiabatic, or whether the system is prone to thermal noise. Our proposal is experimentally tested on two generations of the D-Wave machine, which illustrates the sensitivity of the fluctuation theorem to the smallest aberrations from ideal annealing.

5 pages, 4 figure

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Cited by in corpus (35)

• Fluctuation Theorems for a Quantum Channel
• Information scrambling vs. decoherence -- two competing sinks for entropy
• Experimental characterization of the energetics of quantum logic gates
• Quasiprobabilities in quantum thermodynamics and many-body systems
• The role of quantum coherence in energy fluctuations
• Propagating Quantum Microwaves: Towards Applications in Communication and Sensing
• Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
• Work fluctuations and entanglement in quantum batteries
• Quantum neural networks to simulate many-body quantum systems
• Quantum and classical ergotropy from relative entropies
• The Passivity Deformation Approach for the Thermodynamics of Isolated Quantum Setups
• Stochastic thermodynamics of relativistic Brownian motion
• Counterdiabatic control in the impulse regime
• Informational steady-states and conditional entropy production in continuously monitored systems
• Efficiency Optimization in Quantum Computing: Balancing Thermodynamics and Computational Performance
• The three phases of quantum annealing: fast, slow, and very slow
• Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals
• Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy
• Jarzynski equality for conditional stochastic work
• Generalized energy measurements and quantum work compatible with fluctuation theorems
• Quantum many-body Jarzynski equality and dissipative noise on a digital quantum computer
• Disorder-assisted graph coloring on quantum annealers
• Exchange fluctuation theorems for strongly interacting quantum pumps
• Quantum speed limit for Kirkwood-Dirac quasiprobabilities
• Diagnostics of quantum-gate coherences via end-point-measurement statistics
• Quantum-Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation
• Detecting heat leaks with trapped ion qubits
• Separability gap and large deviation entanglement criterion
• DQC1 as an Open Quantum System
• Detailed fluctuation theorem from the one-time measurement scheme
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware
• Thermodynamic perspective on quantum fluctuations
• Assessing the performance of quantum annealing with nonlinear driving
• Fundamental precision limits in finite-dimensional quantum thermal machines
• Thermodynamic significance of QUBO encoding on quantum annealers