A Quantum Version of Schöning's Algorithm Applied to Quantum 2-SAT

TitleA Quantum Version of Schöning's Algorithm Applied to Quantum 2-SAT
Publication TypeJournal Article
Year of Publication2016
AuthorsFarhi, E, Kimmel, S, Temme, K
JournalQuantum Information and Computation
Volume16
Issue13-14
Date Published2016/03/22
Abstract

We study a quantum algorithm that consists of a simple quantum Markov process, and we analyze its behavior on restricted versions of Quantum 2-SAT. We prove that the algorithm solves this decision problem with high probability for n qubits, L clauses, and promise gap c in time O(n^2 L^2 c^{-2}). If the Hamiltonian is additionally polynomially gapped, our algorithm efficiently produces a state that has high overlap with the satisfying subspace. The Markov process we study is a quantum analogue of Sch\"oning's probabilistic algorithm for k-SAT.

URLhttp://arxiv.org/abs/1603.06985