Entanglement and the geometry of two qubits

Journal Article · Sun Feb 15 04:00:00 EST 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.07.007· OSTI ID:21167718

Kenneth, O ^[1]

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1. Department of Physics, Technion, 32000 Haifa (Israel)

Two qubits is the simplest system where the notions of separable and entangled states and entanglement witnesses first appear. We give a three-dimensional geometric description of these notions. This description, however, carries no quantitative information on the measure of entanglement. A four-dimensional description captures also the entanglement measure. We give a neat formula for the Bell states which leads to a slick proof of the fundamental teleportation identity. We describe optimal distillation of two qubits geometrically and present a simple geometric proof of the Peres-Horodecki separability criterion.

• OSTI ID: 21167718
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 324; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FOUR-DIMENSIONAL CALCULATIONS
INFORMATION THEORY
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUANTUM TELEPORTATION
QUBITS
THREE-DIMENSIONAL CALCULATIONS