Jevtic, S, Pusey, M, Jennings, D orcid.org/0000-0003-1201-3725 et al. (1 more author) (2014) Quantum Steering Ellipsoids. Physical Review Letters, 113 (2). ARTN 020402. ISSN 0031-9007
Abstract
The quantum steering ellipsoid of a two-qubit state is the set of Bloch vectors that Bob can collapse Alice’s qubit to, considering all possible measurements on his qubit. We provide an elementary construction of the ellipsoid for arbitrary states, calculate its volume, and explain how this geometric representation can be made faithful. The representation provides a range of new results, and uncovers new features, such as the existence of “incomplete steering” in separable states. We show that entanglement can be analyzed in terms of three geometric features of the ellipsoid and prove that a state is separable if and only if it obeys a “nested tetrahedron” condition.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. https://creativecommons.org/licenses/by/3.0/ |
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: | 03 Jan 2019 16:02 |
Last Modified: | 03 Jan 2019 16:02 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevLett.113.020402 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:139402 |