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

2020/07/15 by Luogen Xu, J. T. Lee, J. K. Freericks
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum many-body systems #Topological Materials and Phenomena

paper · doi:10.1142/s0217984920400497

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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