Einstein–Podolsky–Rosen steering and the steering ellipsoid
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Author(s)
Jevtic, Sania
Hall, Michael JW
Anderson, Malcolm R
Zwierz, Marcin
Wiseman, Howard M
Griffith University Author(s)
Year published
2015
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The question of which two-qubit states are steerable [i.e., permit a demonstration of Einstein–Podolsky–Rosen (EPR) steering] remains open. Here, a strong necessary condition is obtained for the steerability of two-qubit states having maximally mixed reduced states, via the construction of local hidden state models. It is conjectured that this condition is in fact sufficient. Two provably sufficient conditions are also obtained, via asymmetric EPR-steering inequalities. Our work uses ideas from the quantum steering ellipsoid formalism, and explicitly evaluates the integral of n/(n⊺An)2 over arbitrary unit hemispheres for any ...
View more >The question of which two-qubit states are steerable [i.e., permit a demonstration of Einstein–Podolsky–Rosen (EPR) steering] remains open. Here, a strong necessary condition is obtained for the steerability of two-qubit states having maximally mixed reduced states, via the construction of local hidden state models. It is conjectured that this condition is in fact sufficient. Two provably sufficient conditions are also obtained, via asymmetric EPR-steering inequalities. Our work uses ideas from the quantum steering ellipsoid formalism, and explicitly evaluates the integral of n/(n⊺An)2 over arbitrary unit hemispheres for any positive matrix A.
View less >
View more >The question of which two-qubit states are steerable [i.e., permit a demonstration of Einstein–Podolsky–Rosen (EPR) steering] remains open. Here, a strong necessary condition is obtained for the steerability of two-qubit states having maximally mixed reduced states, via the construction of local hidden state models. It is conjectured that this condition is in fact sufficient. Two provably sufficient conditions are also obtained, via asymmetric EPR-steering inequalities. Our work uses ideas from the quantum steering ellipsoid formalism, and explicitly evaluates the integral of n/(n⊺An)2 over arbitrary unit hemispheres for any positive matrix A.
View less >
Journal Title
Journal of the Optical Society of America B
Volume
32
Issue
4
Copyright Statement
© Optical Society of America 2015. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.
Subject
Applied mathematics
Atomic, molecular and optical physics
Quantum information, computation and communication