Virtual mitigation of coherent non-adiabatic transitions by echo verification

Abstract

Transitions out of the ground space limit the performance of quantum adiabatic algorithms, while hardware imperfections impose stringent limitations on the circuit depth. We propose an adiabatic echo verification protocol which mitigates both coherent and incoherent errors, arising from non-adiabatic transitions and hardware noise, respectively. Quasi-adiabatically evolving forward and backwards allows for an echo-verified measurement of any observable. In addition to mitigating hardware noise, our method uses positive-time dynamics only. Crucially, the estimator bias of the observable is reduced when compared to standard adiabatic preparation, achieving up to a quadratic improvement.

8+6 pages, 3+1 figures, accepted version

References in corpus (2)

• Bounds for the adiabatic approximation with applications to quantum computation
• Accuracy vs run time in adiabatic quantum search

Cited by in corpus (2)

• Accurately Simulating the Time Evolution of an Ising Model with Echo Verified Clifford Data Regression on a Superconducting Quantum Computer
• Hardware-efficient quantum annealing with error mitigation via classical shadow