# Symmetry-adapted variational quantum eigensolver

@article{Seki2019SymmetryadaptedVQ,
title={Symmetry-adapted variational quantum eigensolver},
author={Kazuhiro Seki and Tomonori Shirakawa and Seiji Yunoki},
journal={Physical Review A},
year={2019},
volume={101},
pages={052340}
}
• Published 31 December 2019
• Physics
• Physical Review A
We propose a scheme to restore spatial symmetry of Hamiltonian in the variational-quantum-eigensolver (VQE) algorithm for which the quantum circuit structures used usually break the Hamiltonian symmetry. The symmetry-adapted VQE scheme introduced here simply applies the projection operator, which is Hermitian but not unitary, to restore the spatial symmetry in a desired irreducible representation of the spatial group. The entanglement of a quantum state is still represented in a quantum circuit…
32 Citations

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