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arXiv · 2203.10017

Quantum Algorithms for Testing Hamiltonian Symmetry

Margarite L. LaBorde·Mark M. Wilde
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Abstract

Symmetries in a Hamiltonian play an important role in quantum physics because they correspond directly with conserved quantities of the related system. In this paper, we propose quantum algorithms capable of testing whether a Hamiltonian exhibits symmetry with respect to a group. We demonstrate that familiar expressions of Hamiltonian symmetry in quantum mechanics correspond directly with the acceptance probabilities of our algorithms. We execute one of our symmetry-testing algorithms on existing quantum computers for simple examples of both symmetric and asymmetric cases.

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Margarite L. LaBorde, Mark M. Wilde. 2022-03-18. Quantum Algorithms for Testing Hamiltonian Symmetry. https://doi.org/10.1103/physrevlett.129.160503

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