An efficient quantum algorithm for the many-body three-dimensional Dirac equation is presented. Its computational complexity is dominantly linear in the number of qubits used to spatially resolve the 4-spinor wave function.
@article{arxiv.quant-ph/0210093,
title = {An efficient and accurate quantum algorithm for the Dirac equation},
author = {Jeffrey Yepez},
journal= {arXiv preprint arXiv:quant-ph/0210093},
year = {2007}
}