@article {3076, title = {NISQ algorithm for the matrix elements of a generic observable}, year = {2022}, month = {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}, author = {Rebecca Erbanni and Kishor Bharti and Leong-Chuan Kwek and Dario Poletti} }