Quantum computation from a de Broglie-Bohm perspective

TL;DR

This paper analyzes quantum algorithms through the de Broglie-Bohm interpretation, examining specific implementations and quantum gates to explore their implications for understanding quantum computational speed-up.

Contribution

It provides a novel perspective by applying the de Broglie-Bohm formulation to quantum computing models and extends the analysis to a complete set of quantum gates.

Findings

De Broglie-Bohm interpretation offers insights into quantum algorithms.

Analysis of spin-1/2 particles and infinite-well potential implementations.

Discussion on the implications for the origin of quantum speed-up.

Abstract

We consider an example of a quantum algorithm from the point of view of the de Broglie-Bohm formulation of quantum mechanics. For concreteness we look at two particular implementations: one using spin-1/2 particles as described by a simple model due to Bell and the other as energy states in an infinite-well potential. We extend the analysis to encompass a complete set of quantum gates. We conclude by discussing the relevance of our investigations for the debate about the origin of the quantum-computational speed-up.