Quantum random walks - an introductory overview

Quantum random walks - an introductory overview

February 1, 2008 | J. Kempe
This article provides an introductory overview of quantum random walks, starting from physical effects to illustrate the main ideas. It reviews the properties of quantum random walks, highlights their differences from classical walks, and discusses both physical applications and computer science applications. The article covers recent developments and open questions in the field. It begins with a physical intuition for random walks, followed by a rigorous definition and terminology for the two main models of quantum random walks. The article then presents background in computer science and probability, discussing algorithmic results and the implementation of quantum random walks in physical systems. Finally, it explores the philosophical question of how classical behavior emerges from quantum behavior through decoherence. The article aims to provide readers with a comprehensive understanding of quantum random walks and their applications in modern quantum information processing.This article provides an introductory overview of quantum random walks, starting from physical effects to illustrate the main ideas. It reviews the properties of quantum random walks, highlights their differences from classical walks, and discusses both physical applications and computer science applications. The article covers recent developments and open questions in the field. It begins with a physical intuition for random walks, followed by a rigorous definition and terminology for the two main models of quantum random walks. The article then presents background in computer science and probability, discussing algorithmic results and the implementation of quantum random walks in physical systems. Finally, it explores the philosophical question of how classical behavior emerges from quantum behavior through decoherence. The article aims to provide readers with a comprehensive understanding of quantum random walks and their applications in modern quantum information processing.
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[slides and audio] Quantum random walks%3A An introductory overview