Demonstration of error-suppressed quantum annealing via boundary cancellation
arXiv:2206.14269 · doi:10.1103/PhysRevApplied.19.034095
Abstract
The boundary cancellation theorem for open systems extends the standard quantum adiabatic theorem: assuming the gap of the Liouvillian does not vanish, the distance between a state prepared by a boundary cancelling adiabatic protocol and the steady state of the system shrinks as a power of the number of vanishing time derivatives of the Hamiltonian at the end of the preparation. Here we generalize the boundary cancellation theorem so that it applies also to the case where the Liouvillian gap vanishes, and consider the effect of dynamical freezing of the evolution. We experimentally test the predictions of the boundary cancellation theorem using quantum annealing hardware, and find qualitative agreement with the predicted error suppression despite using annealing schedules that only approximate the required smooth schedules. Performance is further improved by using quantum annealing correction, and we demonstrate that the boundary cancellation protocol is significantly more robust to parameter variations than protocols which employ pausing to enhance the probability of finding the ground state.
23 pages, 14 figures
References in corpus (12)
- Bounds for the adiabatic approximation with applications to quantum computation
- Decoherence in adiabatic quantum computation
- Adiabatic approximation with exponential accuracy for many-body systems and quantum computation
- Consistency Tests of Classical and Quantum Models for a Quantum Annealer
- Quantum annealing correction for random Ising problems
- Accuracy vs run time in adiabatic quantum search
- General Adiabatic Evolution with a Gap Condition
- Quantum annealing correction at finite temperature: ferromagnetic -spin models
- Why and when is pausing beneficial in quantum annealing?
- Quantum error suppression with commuting Hamiltonians: Two-local is too local
- Breakdown of the weak coupling limit in quantum annealing
- Advantage of pausing: parameter setting for quantum annealers