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The Basic Theory of Quantum Mechanics

Bas C. van Fraassen

in Quantum Mechanics: An Empiricist View

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198239802
eISBN:
9780191597466
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198239807.003.0006
Subject:
Philosophy, Philosophy of Science

Covered are Hilbert space, vector, and operator representations of pure and mixed states, measurable physical quantities (observables), Gleason's theorem, Lueders’ Rule, unitary operators, and ... More


Measures of entanglement

Vlatko Vedral

in Introduction to Quantum Information Science

Published in print:
2006
Published Online:
January 2010
ISBN:
9780199215706
eISBN:
9780191706783
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199215706.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses how entangled two states are. One obvious way is to consider the distillation procedure, in which the entanglement of any state is quantified by how many fully entangled qubits ... More


Extraordinary Qm

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0007
Subject:
Philosophy, Philosophy of Science

This chapter highlights other surprising aspects of QM∞: unlike theories of ordinary QM, theories of QM∞ can traffic in algebras none of whose countably additive states are pure. The chapter sketches ... More


An ongoing story

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0022
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The emerging field that has been described in this book is remarkably coherent, but it also opens up a number of challenges. This chapter provides a synthetic description of such challenges, as well ... More


Quantum information I

Vlatko Vedral

in Introduction to Quantum Information Science

Published in print:
2006
Published Online:
January 2010
ISBN:
9780199215706
eISBN:
9780191706783
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199215706.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Information is often considered classical in a definite state rather than in a superposition of states. It seems rather strange to consider information in superpositions. Some people would, on the ... More


Quantum entanglement—introduction

Vlatko Vedral

in Introduction to Quantum Information Science

Published in print:
2006
Published Online:
January 2010
ISBN:
9780199215706
eISBN:
9780191706783
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199215706.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

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 ... More


Quantum error correction

Vlatko Vedral

in Introduction to Quantum Information Science

Published in print:
2006
Published Online:
January 2010
ISBN:
9780199215706
eISBN:
9780191706783
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199215706.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Quantum error correction is a very advanced field, and researchers have invested a great deal of time in trying to find the best ways of combating errors in quantum computers, winch occur when the ... More


Entanglement in many-body quantum systems

J. Ignacio Cirac

in Many-Body Physics with Ultracold Gases: Lecture Notes of the Les Houches Summer School: Volume 94, July 2010

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199661886
eISBN:
9780191748356
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199661886.003.0004
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter reviews some of the basic concepts coming from the theory of entanglement, their applications to many-body systems, and some of the new theoretical methods that have come up in this ... More


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