Quantum simulation of the single-particle Schrödinger equation

2007/09/30 by Giuliano Benenti, G. Strini, Giuliano Strini · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #physics.gen-ph #quant-ph

paper · pdf · doi:10.1119/1.2894532

published as Am. J. Phys. 76 (2008) 657-663 · 7 pages, 6 figures, added remarks and references

arxiv created 2007/11/30 · openalex publication_date 2008/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The nature of a quantum computer is described in the concrete context of a quantum simulator of the single-particle Schrödinger equation. We show that a register of 6–10 qubits is sufficient to realize a useful quantum simulator capable of efficiently solving standard quantum mechanical problems.

Citations

• Simulations of Many-Body Quantum Systems by a Quantum Computer
• Efficient Simulation of Quantum Systems by Quantum Computers
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Simulating physics with computers

Cited by

• Simulation of the elementary evolution operator with the motional states of an ion in an anharmonic trap
• Quantum computing of fluid dynamics using the hydrodynamic Schrödinger equation
• Quantum Fourier transform in computational basis

Related

• Efficient Simulation of Quantum Systems by Quantum Computers
• Simulating Quantum Computations on Classical Machines: A Survey
• Simulations of Many-Body Quantum Systems by a Quantum Computer
• Quantum Simulation
• Analog classical simulation of closed quantum systems