Towards a Simulation of Quantum Computers by Classical Systems
Quantum Physics
2009-11-07 v1
Abstract
We present a two-dimensional classical stochastic differential equation for a displacement field of a point particle in two dimensions and show that its components define real and imaginary parts of a complex field satisfying the Schroedinger equation of a harmonic oscillator. In this way we derive the discrete oscillator spectrum from classical dynamics. The model is then generalized to an arbitrary potential. This opens up the possibility of efficiently simulating quantum computers with the help of classical systems.
Cite
@article{arxiv.quant-ph/0106095,
title = {Towards a Simulation of Quantum Computers by Classical Systems},
author = {Z. Haba and H. Kleinert},
journal= {arXiv preprint arXiv:quant-ph/0106095},
year = {2009}
}
Comments
Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper (including all PS fonts) at http://www.physik.fu-berlin.de/~kleinert/kleiner_re324/preprint.html