Towards a Simulation of Quantum Computers by Classical Systems

Details Towards a Simulation of Quantum Computers by Classical Systems Towards a Simulation of Quantum Computers by Classical Systems

2001-06-16

arxiv.org/abs/quant-ph/0106095v1

Phys. Lett. A, 294 (2002) 139

Physics

Quantum Physics

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper (including all P

Scientific paper

10.1016/S0375-9601(02)00054-3

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.

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