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Quantum Simulation

Quantum algorithms for disordered physics

arXiv
Authors: Andrei Alexandru, Paulo F. Bedaque, Scott Lawrence

Year

2019

Paper ID

14557

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

We show how a quantum computer may efficiently simulate a disordered Hamiltonian, by incorporating a pseudo-random number generator directly into the time evolution circuit. This technique is applied to quantum simulation of few-body disordered systems in the large volume limit; in particular, Anderson localization. The method requires a number of (error corrected) qubits proportional to the logarithm of the volume of the system, and each time evolution step requires a number of gates polylogarithmic in the volume. We simulate the method to observe the metal-insulator transition on a three-dimensional lattice. Additionally, we demonstrate the algorithm on a one-dimensional lattice, using physical quantum processors.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We show how a quantum computer may efficiently simulate a disordered Hamiltonian, by incorporating a pseudo-random number generator directly into the time evolution circuit.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1911.11117 [2] arXiv https://arxiv.org/abs/1911.11117 [3] Publisher https://arxiv.org/abs/1911.11117

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