Entanglement and the geometry of two qubits

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Avron, J. E.
Kenneth, O.
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Abstract
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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.
Comment: Added one figure and one reference. Added a key idenity for teleportation
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Quantum Physics
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