Necessary condition for steerability of arbitrary two-qubit states with loss

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Baker, Travis J
Wollmann, Sabine
Pryde, Geoff J
Wiseman, Howard M
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2018
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Abstract

Einstein–Podolsky–Rosen steering refers to the quantum phenomenon whereby the state of a system held by one party can be 'steered' into different states at the will of another, distant, party by performing different local measurements. Although steering has been demonstrated in a number of experiments involving qubits, the question of which two-qubit states are steerable remains an open theoretical problem. Here, we derive a necessary condition for any two-qubit state to be steerable when the steering party suffers from a given probability of qubit loss. Our main result finds application in one-way steering demonstrations that rely upon loss. Specifically, we apply it to a recent experiment on one-way steering with projective measurements and POVMs, reported by Wollmann et al

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Journal of Optics
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© 2018 Institute of Physics Publishing. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher.Please refer to the journal's website for access to the definitive, published version.
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Atomic, molecular and optical physics
Quantum physics
Quantum physics not elsewhere classified
Electrical engineering
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