Test of the unitary coupled-cluster variational quantum eigensolver for a simple strongly correlated condensed-matter system

• URL: http://arxiv.org/abs/2001.06957v1
• Date: Mon, 20 Jan 2020 03:28:47 GMT
• Title: Test of the unitary coupled-cluster variational quantum eigensolver for a simple strongly correlated condensed-matter system
• Authors: Luogen Xu, Joseph T. Lee, and J. K. Freericks
• Abstract summary: The variational quantum eigensolver has been proposed as a low-depth quantum circuit. We show details associated with the factorized form of the unitary coupled-cluster variant of this algorithm. This work show some of the subtle issues one needs to take into account when applying this algorithm in practice, especially to condensed-matter systems.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The variational quantum eigensolver has been proposed as a low-depth quantum circuit that can be employed to examine strongly correlated systems on today's noisy intermediate-scale quantum computers. We examine details associated with the factorized form of the unitary coupled-cluster variant of this algorithm. We apply it to a simple strongly correlated condensed-matter system with nontrivial behavior---the four-site Hubbard model at half filling. This work show some of the subtle issues one needs to take into account when applying this algorithm in practice, especially to condensed-matter systems.

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