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Introduction to Quantum Information Science$
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Vlatko Vedral

Print publication date: 2006

Print ISBN-13: 9780199215706

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199215706.001.0001

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Quantum entanglement—introduction

Quantum entanglement—introduction

Chapter:
(p.81) 7 Quantum entanglement—introduction
Source:
Introduction to Quantum Information Science
Author(s):

Vlatko Vedral

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199215706.003.0007

The Mach–Zehnder interferometer experiment described earlier shows why and how quantum mechanics is different from classical mechanics. A photon sent through a beam splitter behaves like a particle when it is observed by only one of the two detectors. When two beam splitters are used, the photon “interferes with itself” and behaves like a wave. This is the so-called wave-particle duality of quantum mechanics which leads to quantum entanglement. This chapter discusses quantum superpositions when two or more particles are present. Understanding and analysing entanglement is one of the most interesting directions in the field of quantum information. First, a historical background of quantum entanglement is given, followed by a discussion on Bell's inequalities, separable states that do not violate Bell's inequalities, pure states that violate Bell's inequalities, mixed states that do not violate Bell's inequalities, and entanglement in second quantisation.

Keywords:   quantum entanglement, quantum superpositions, particles, quantum information, separable states, Bell's inequalities, mixed states, pure states

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