Quantum PDE's and the Simulation of Quantum Computers Solving Physics Problems
by
Ronald E. Meyers
US Army Research Laboratory
Coauthors: Keith S. Deacon

Quantum partial differential equations (PDEs) are explored for the purpose of developing quantum computers and quantum communications. The Nonlinear Schrödinger and Maxwell PDEs are used in formulations to calculate the interaction of photons and materials, made of atoms, as part of quantum communications and quantum computing design tools. In addition the Nonlinear Schrödinger equation is used to simulate and predict that three-photon probability density collision can result in useful entangled four-photon probability density wave packets.

Quantum computers calculating the solution of physics problems are simulated on classical computers. Quantum computer solutions of the four dimensional Euler and Navier Stokes PDEs over arbitrary complex geometry and the Dirac PDEs are efficiently simulated.

Date received: February 28, 2003