Fixed-Point Quantum Circuits for Quantum Field Theories

• URL: http://arxiv.org/abs/2002.02018v1
• Date: Wed, 5 Feb 2020 22:15:56 GMT
• Title: Fixed-Point Quantum Circuits for Quantum Field Theories
• Authors: Natalie Klco and Martin J. Savage
• Abstract summary: We use classically computed ground states in a small spatial volume to prepare non-interacting scalar field theories on quantum devices. The derived quantum circuits are expected to be relevant already for near-term quantum devices.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Renormalization group ideas and effective operators are used to efficiently determine localized unitaries for preparing the ground states of non-interacting scalar field theories on digital quantum devices. With these methods, classically computed ground states in a small spatial volume can be used to determine operators for preparing the ground state in a beyond-classical quantum register, even for interacting scalar field theories. Due to the exponential decay of correlation functions and the double exponential suppression of digitization artifacts, the derived quantum circuits are expected to be relevant already for near-term quantum devices.

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