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General Quantum Hilbert Space Modeling Scheme for Entanglement

Authors:
Diederik Aerts
Sandro Sozzo

Keywords: quantum modeling; Bell inequalities; entanglement; marginal law; Tsirelson bound

Abstract:
We work out a classification scheme for quantum modeling in Hilbert space of any kind of composite entity violating Bell's inequalities and exhibiting entanglement. Our framework includes situations with entangled states and product measurements, and also situations with both entangled states and entangled measurements. We show that entanglement is structurally a joint property of states and measurements, and that %. Furthermore, entangled measurements enable quantum modeling of situations that are usually believed to be `beyond quantum'. Our results are extended from pure states to quantum mixtures. Entanglement classification has potentially an impact on quantum technologies and quantum cryptography, where entanglement is employed as a fundamental resource.

Pages: 34 to 40

Copyright: Copyright (c) IARIA, 2013

Publication date: August 25, 2013

Published in: conference

ISSN: 2308-3530

ISBN: 978-1-61208-303-2

Location: Barcelona, Spain

Dates: from August 25, 2013 to August 31, 2013