Customized quantum annealing schedules

Abstract

In a typical quantum annealing protocol, the system starts with a transverse field Hamiltonian which is gradually turned off and replaced by a longitudinal Ising Hamiltonian. The ground state of the Ising Hamiltonian encodes the solution to the computational problem of interest, and the state overlap with this ground state gives the success probability of the annealing protocol. The form of the annealing schedule can have a significant impact on the ground state overlap at the end of the anneal, so precise control over these annealing schedules can be a powerful tool for increasing success probabilities of annealing protocols. Here we show how superconducting circuits, in particular capacitively shunted flux qubits (CSFQs), can be used to construct quantum annealing systems by providing tools for mapping circuit flux biases to Pauli coefficients. We use this mapping to find customized annealing schedules: appropriate circuit control biases that yield a desired annealing schedule, while accounting for the physical limitations of the circuitry. We then provide examples and proposals that utilize this capability to improve quantum annealing performance.

v2 published version

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Cited by in corpus (9)

• Calibration of flux crosstalk in large-scale flux-tunable superconducting quantum circuits
• Deep learning optimal quantum annealing schedules for random Ising models
• Demonstration of long-range correlations via susceptibility measurements in a one-dimensional superconducting Josephson spin chain
• Quantum adiabatic theorem for unbounded Hamiltonians with a cutoff and its application to superconducting circuits
• Quantum Ising chain with time-averaged work in linear response theory
• Mapping State Transition Susceptibility in Quantum Annealing
• Decoherence of a tunable capacitively shunted flux qubit
• Analytical shortcuts to adiabaticity of weakly driven processes
• Noise Effects on Diabatic Quantum Annealing Protocols