English

Quantum circuits for solving one-dimensional Schr\"odinger equations

Quantum Physics 2009-07-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0907.3343,
  title  = {Quantum circuits for solving one-dimensional Schr\"odinger equations},
  author = {K. Nakao and A. Matsuyama},
  journal= {arXiv preprint arXiv:0907.3343},
  year   = {2009}
}

Comments

20 pages, 16 figures

R2 v1 2026-06-21T13:26:44.757Z