The three phases of quantum annealing: fast, slow, and very slow
arXiv:2112.08490 · doi:10.1103/PhysRevA.105.042423
Abstract
Currently, existing quantum annealers have proven themselves as viable technology for the first practical applications in the noisy-intermediate-scale-quantum era. However, to fully exploit their capabilities, a comprehensive characterization of their finite-time excitations is instrumental. To this end, we develop a phase diagram for driven Ising chains, from which the scaling behavior of the excess work can be read off as a function of process duration and system size. "Fast" processes are well described by the Kibble-Zurek mechanism; "slow" processes are governed by effective Landau-Zener dynamics; and "very slow" processes can be approximated with adiabatic perturbation theory.
References in corpus (17)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum computational advantage using photons
- Universal adiabatic dynamics across a quantum critical point
- Mathematical Foundation of Quantum Annealing
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
- Quantum annealing correction for random Ising problems
- Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
- Accuracy vs run time in adiabatic quantum search
- Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
- Pegasus: The second connectivity graph for large-scale quantum annealing hardware
- Kibble-Zurek scaling of the irreversible entropy production
- Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
- Quantum computing 40 years later
- Degenerate optimal paths in thermally isolated systems
- Direct comparison of quantum and simulated annealing on a fully-connected Ising ferromagnet
- Scaling of non-adiabaticity in disordered quench of quantum Rabi model close to phase transition
Cited by in corpus (12)
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- Shortcuts to thermodynamic quasistaticity
- Genuine Multipartite Entanglement in Quantum Optimization
- Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems
- Quantum Ising chain with time-averaged work in linear response theory
- Solving rescheduling problems in heterogeneous urban railway networks using hybrid quantum-classical approach
- Topological Defects from Quantum Reset Dynamics
- Assessing the performance of quantum annealing with nonlinear driving
- Analytical shortcuts to adiabaticity of weakly driven processes
- Toward quantum scaling advantage in approximate optimization
- Leveraging Analog Neutral Atom Quantum Computers for Diversified Pricing in Hybrid Column Generation Frameworks
- Kibble-Zurek scaling from linear response theory