Reflection-Based Adiabatic State Preparation

• URL: http://arxiv.org/abs/2111.05461v1
• Date: Wed, 10 Nov 2021 00:03:00 GMT
• Title: Reflection-Based Adiabatic State Preparation
• Authors: Jessica Lemieux, Artur Scherer and Pooya Ronagh
• Abstract summary: Our algorithm deploys a sequence of reflections determined from eigenspaces of instantaneous Hamiltonians defined along an adiabatic schedule. We provide numerical evidence suggesting that, for search problems, our algorithm can find a solution faster, on average, than Grover's search.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a circuit-model quantum algorithm for eigenpath traversal that is based on a combination of concepts from Grover's search and adiabatic quantum computation. Our algorithm deploys a sequence of reflections determined from eigenspaces of instantaneous Hamiltonians defined along an adiabatic schedule in order to prepare a ground state of a target problem Hamiltonian. We provide numerical evidence suggesting that, for combinatorial search problems, our algorithm can find a solution faster, on average, than Grover's search. We demonstrate our findings by applying both algorithms to solving the NP-hard MAX-2SAT problem.

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