Quantum computation algorithm for many-body studies
Quantum Physics
2007-05-23 v1 Mathematical Physics
math.MP
Nuclear Theory
Computational Physics
Abstract
We show in detail how the Jordan-Wigner transformation can be used to simulate any fermionic many-body Hamiltonian on a quantum computer. We develop an algorithm based on appropriate qubit gates that takes a general fermionic Hamiltonian, written as products of a given number of creation and annihilation operators, as input. To demonstrate the applicability of the algorithm, we calculate eigenvalues and eigenvectors of two model Hamiltonians, the well-known Hubbard model and a generalized pairing Hamiltonian. Extensions to other systems are discussed.
Cite
@article{arxiv.0705.1928,
title = {Quantum computation algorithm for many-body studies},
author = {E. Ovrum and M. Hjorth-Jensen},
journal= {arXiv preprint arXiv:0705.1928},
year = {2007}
}