Benchmarking quantum annealing dynamics: the spin-vector Langevin model

Abstract

The classical spin-vector Monte Carlo (SVMC) model is a reference benchmark for the performance of a quantum annealer. Yet, as a Monte Carlo method, SVMC is unsuited for an accurate description of the annealing dynamics in real-time.We introduce the spin-vector Langevin (SVL) model as an alternative benchmark in which the time evolution is described by Langevin dynamics. The SVL model is shown to provide a more stringent test than the SVMC model for the identification of quantum signatures in the performance of quantum annealing devices, as we illustrate by describing the Kibble-Zurek scaling associated with the dynamics of symmetry breaking in the transverse field Ising model, recently probed using D-Wave machines. Specifically, we show that D-Wave data are reproduced by the SVL model.

Main text: 10 pages, 5 Figures, and SM: Fortran Code SVLdynamics.f

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Cited by in corpus (14)

• Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
• Breakdown of the weak coupling limit in quantum annealing
• Signatures of Open and Noisy Quantum Systems in Single-Qubit Quantum Annealing
• Universal Vortex Statistics and Stochastic Geometry of Bose-Einstein Condensation
• Structural phase transition and its critical dynamics from holography
• Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Entanglement generation and scaling from noisy quenches across a quantum critical point
• Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
• Topological Defects from Quantum Reset Dynamics
• Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench
• Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
• Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing