Quantum circuits for solving one-dimensional Schrödinger equations

Physics – Quantum Physics

Scientific paper

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20 pages, 16 figures

Scientific paper

We construct quantum circuits for solving one-dimensional Schr\"odinger
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.

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