Quantum circuits for solving one-dimensional Schrödinger equations

2009/07/20 by K. Nakao, Ken-ichi Nakao, Nakao, K. +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0907.3343

20 pages, 16 figures

arxiv created 2009/07/20 · openalex publication_date 2009/07/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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