Quantum Algorithms for Testing Hamiltonian Symmetry
arXiv:2203.10017 · doi:10.1103/PhysRevLett.129.160503
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.
arXiv commentv6: 15 pages, 5 figures, correction to Eq. (2)
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