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arXiv · 1911.11117

Quantum algorithms for disordered physics

Andrei Alexandru·Paulo F. Bedaque·Scott Lawrence
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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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Andrei Alexandru, Paulo F. Bedaque, Scott Lawrence. 2020-03-19. Quantum algorithms for disordered physics. https://doi.org/10.1103/physreva.101.032325

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