Restoring broken symmetries using oracles
Quantum Physics
2022-10-21 v1 Strongly Correlated Electrons
Nuclear Theory
Abstract
We present a new method to perform variation after projection in many-body systems on quantum computers that does not require performing explicit projection. The technique employs the notion of ``oracle'', generally used in quantum search algorithms. We show how to construct the oracle and the projector associated with a symmetry operator. The procedure is illustrated for the parity, particle number, and total spin symmetries. The oracle is used to restore symmetry by indirect measurements using a single ancillary qubit. An Illustration of the technique is made to obtain the approximate ground state energy for the pairing model Hamiltonian.
Cite
@article{arxiv.2210.11181,
title = {Restoring broken symmetries using oracles},
author = {Edgar Andres Ruiz Guzman and Denis Lacroix},
journal= {arXiv preprint arXiv:2210.11181},
year = {2022}
}