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Understanding Quantum Entanglement: Qubits, Rebits and the Quaternionic Approach

By J. Batle, A. R. Plastino, M. Casas and A. Plastino

Abstract

It has been recently pointed out by Caves, Fuchs, and Rungta that real quantum mechanics (that is, quantum mechanics defined over real vector spaces provides an interesting foil theory whose study may shed some light on just which particular aspects of quantum entanglement are unique to standard quantum theory, and which ones are more generic over other physical theories endowed with this phenomenon. Following this work, we discuss some entanglement properties of two-rebits systems, making a comparison with the basic properties of two-qubits systems, i.e., the ones described by standard complex quantum mechanics. We also discuss the use of quaternionic quantum mechanics as applied to the phenomenon of entanglement

Topics: Quantum Physics
Publisher: 'Pleiades Publishing Ltd'
Year: 2006
DOI identifier: 10.1134/1.1576838
OAI identifier: oai:arXiv.org:quant-ph/0603060

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