Quantum Simulations of Physics Problems
Quantum Physics
2009-11-10 v1
Abstract
If a large Quantum Computer (QC) existed today, what type of physical problems could we efficiently simulate on it that we could not simulate on a classical Turing machine? In this paper we argue that a QC could solve some relevant physical "questions" more efficiently. The existence of one-to-one mappings between different algebras of observables or between different Hilbert spaces allow us to represent and imitate any physical system by any other one (e.g., a bosonic system by a spin-1/2 system). We explain how these mappings can be performed showing quantum networks useful for the efficient evaluation of some physical properties, such as correlation functions and energy spectra.
Cite
@article{arxiv.quant-ph/0304063,
title = {Quantum Simulations of Physics Problems},
author = {Rolando Somma and Gerardo Ortiz and Emanuel Knill and James Gubernatis},
journal= {arXiv preprint arXiv:quant-ph/0304063},
year = {2009}
}
Comments
12 pages and 6 ps figures. Submitted to SPIE Aerosense 2003