Exploiting Quantum Parallelism To Simulate Quantum Random Many-Body Systems

TL;DR

This paper introduces a quantum algorithm that leverages quantum parallelism to efficiently simulate the dynamics of quantum systems with randomness, enabling parallel and controlled disorder simulation in quantum spin chains.

Contribution

The paper presents a novel quantum algorithm that encodes all realizations of randomness in superposition, allowing efficient simulation of disordered quantum systems and proposing an experimental implementation.

Findings

Efficient simulation of quantum random spin chain dynamics.

Proposal for experimental realization using atoms in optical lattices.

Quantum parallelism enables controlled disorder simulation.

Abstract

We present an algorithm that exploits quantum parallelism to simulate randomness in a quantum system. In our scheme, all possible realizations of the random parameters are encoded quantum mechanically in a superposition state of an auxiliary system. We show how our algorithm allows for the efficient simulation of dynamics of quantum random spin chains with known numerical methods. We also propose an experimental realization based on atoms in optical lattices in which disorder could be simulated in parallel and in a controlled way through the interaction with another atomic species.