Threshold theorem in quantum annealing with deterministic analog control errors
Abstract
We investigate the effect of deterministic analog control errors in the timedependent Hamiltonian on isolated quantum dynamics. Deterministic analog control errors are formulated as timedependent operators in the Schrodinger equation. We give an upper bound on the distance between two states in time evolution with and without deterministic analog control errors. As a result, we prove that, if the strength of deterministic analog control errors is less than the inverse of computational time, the final state in quantum dynamics without deterministic analog control errors can be obtained through a constantorder number of measurements in quantum dynamics with deterministic analog control errors.
 Publication:

arXiv eprints
 Pub Date:
 January 2023
 DOI:
 10.48550/arXiv.2301.13075
 arXiv:
 arXiv:2301.13075
 Bibcode:
 2023arXiv230113075O
 Keywords:

 Quantum Physics
 EPrint:
 3 pages, 0 figure