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Quantum circuits for solving one-dimensional Schrödinger equations

arXiv:0907.3343

Abstract

We construct quantum circuits for solving one-dimensional Schrödinger equations. Simulations of three typical examples, i.e., harmonic oscillator, square-well and Coulomb potential, show that reasonable results can be obtained with eight qubits. Our simulations show that simple quantum circuits can solve the standard quantum mechanical problems.

20 pages, 16 figures