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Title: Quantum steering ellipsoids, extremal physical states and monogamy
Authors: Milne, A
Jevtic, S
Jennings, D
Wiseman, H
Rudolph, T
Keywords: Bloch sphere;Concurrence;Entanglement monogamy;Steering ellipsoids;Two-qubit states
Issue Date: 2014
Publisher: Institute of Physics Publishing
Citation: New Journal of Physics, 16: 083017, (August 2014)
Abstract: Any two-qubit state can be faithfully represented by a steering ellipsoid inside the Bloch sphere, but not every ellipsoid inside the Bloch sphere corresponds to a two-qubit state. We give necessary and sufficient conditions for when the geometric data describe a physical state and investigate maximal volume ellipsoids lying on the physical-unphysical boundary. We derive monogamy relations for steering that are strictly stronger than the Coffman-Kundu- Wootters (CKW) inequality for monogamy of concurrence. The CKW result is thus found to follow from the simple perspective of steering ellipsoid geometry. Remarkably, we can also use steering ellipsoids to derive non-trivial results in classical Euclidean geometry, extending Eulers inequality for the circumradius and inradius of a triangle.
Description: A Corrigendum for this article has been published in 2015 New J. Phys. 17 019501
ISSN: 1367-2630
Appears in Collections:Dept of Mathematics Research Papers

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