Milne, A, Jevtic, S, Jennings, D orcid.org/0000-0003-1201-3725 et al. (2 more authors) (2014) Quantum steering ellipsoids, extremal physical states and monogamy. New Journal of Physics, 16 (8). 083017. ISSN 1367-2630
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 Eulerʼs inequality for the circumradius and inradius of a triangle.
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Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. To view a copy of this license, visit https://creativecommons.org/licenses/by/3.0/. |
Keywords: | two-qubit states; steering ellipsoids; Bloch sphere; concurrence; entanglement monogamy |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Feb 2019 16:28 |
Last Modified: | 07 Feb 2019 16:28 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/1367-2630/16/8/083017 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:139399 |
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