Title | NISQ algorithm for the matrix elements of a generic observable |

Publication Type | Journal Article |

Year of Publication | 2022 |

Authors | Erbanni, R, Bharti, K, Kwek, L-C, Poletti, D |

Date Published | 5/20/2022 |

Abstract | The calculation of off-diagonal matrix elements has various applications in fields such as nuclear physics and quantum chemistry. In this paper, we present a noisy intermediate scale quantum algorithm for estimating the diagonal and off-diagonal matrix elements of a generic observable in the energy eigenbasis of a given Hamiltonian. Several numerical simulations indicate that this approach can find many of the matrix elements even when the trial functions are randomly initialized across a wide range of parameter values without, at the same time, the need to prepare the energy eigenstates. |

URL | https://arxiv.org/abs/2205.10058 |