Chapter

Quantum information: primitive notions and quantum correlations

Valerio Scarani

in Ultracold Gases and Quantum Information

Published in print May 2011 | ISBN: 9780199603657
Published online September 2011 | e-ISBN: 9780191729515 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199603657.003.0003

Series: Lecture Notes of the Les Houches Summer School

Quantum information: primitive notions and quantum correlations

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This series of introductory lectures consists of two parts. The first part reviews the basic notions of quantum physics and some primitives of quantum information. The latter are notions that one must somehow be familiar with in the field: quantum cloning, teleportation and entanglement swapping, entanglement distillation, state estimation (both single shot and multi-copy), and quantum coding. The second part is devoted to a detailed introduction to the topic of quantum correlations. The evidence for failure of alternative theories is presented: the violation of Bell’s inequalities is dealt with in detail, other tests like Leggett’s inequalities and the before-before experiment are discussed. The last two lectures introduce the formalism of no-signaling probability distributions and explain the possibility of device-independent quantum information.

Keywords: cloning; teleportation; state estimation; Bell’s inequalities; no-signaling; device-independent; quantum coding; entanglement

Chapter.  36865 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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