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Quantum Simulation

Exact Ising model simulation on a quantum computer

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Authors: Alba Cervera-Lierta

Year

2018

Paper ID

5532

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

93

Citations

124

Abstract

We present an exact simulation of a one-dimensional transverse Ising spin chain with a quantum computer. We construct an efficient quantum circuit that diagonalizes the Ising Hamiltonian and allows to obtain all eigenstates of the model by just preparing the computational basis states. With an explicit example of that circuit for n=4 spins, we compute the expected value of the ground state transverse magnetization, the time evolution simulation and provide a method to also simulate thermal evolution. All circuits are run in IBM and Rigetti quantum devices to test and compare them qualitatively.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We present an exact simulation of a one-dimensional transverse Ising spin chain with a quantum computer.

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References & Citation Signals

[1] DOI https://doi.org/10.22331/q-2018-12-21-114 [2] Publisher https://doi.org/10.22331/q-2018-12-21-114

Local Citation Graph (Related-Paper Links)

Current Paper #5532 #69041 Multi-modes Bessel-Gaussian-Orb... #69040 Collective Emission in LH2 Asse... #69038 Physically Constrained Ensemble... #69034 Hardware-aware Low-latency Quan...

External citation index: OpenAlex citation signal • updated 2026-06-13 11:14:04

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