Demonstration of error-suppressed quantum annealing via boundary
cancellation
- URL: http://arxiv.org/abs/2206.14269v1
- Date: Tue, 28 Jun 2022 19:51:05 GMT
- Title: Demonstration of error-suppressed quantum annealing via boundary
cancellation
- Authors: Humberto Munoz-Bauza, Lorenzo Campos Venuti, Daniel Lidar
- Abstract summary: We generalize the boundary cancellation theorem to the case where the Liouvillian gap vanishes.
We experimentally test the predictions of the boundary cancellation theorem using quantum annealing hardware.
We demonstrate that the boundary cancellation protocol is more robust to parameter variations than protocols which employ pausing to enhance the probability of finding the ground state.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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 more significantly more
robust to parameter variations than protocols which employ pausing to enhance
the probability of finding the ground state.
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