Abstract
The role of quantum discord in the task of remote state preparation was considered by Dakić et al. (Nature Physics 8:666–670, 2012). In this task Alice aims to remotely prepare Bob’s system in the quantum state \(\mathinner {|{\psi }\rangle }=\frac{1}{\sqrt{2}}(\mathinner {|{0}\rangle }+e^{i\phi }\mathinner {|{1}\rangle }).\) To this end Alice and Bob have access to an additional shared quantum state and a classical communication channel.
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- 1.
The inverse is not true in general, i.e., a separable operation does not necessarily correspond to LOCC [23].
- 2.
The local operation that achieves this task is a measure-and-prepare map with Kraus operators \(K_{ab}^{\tilde{C}}=\sqrt{\sigma _{b}^{\tilde{C}}}\mathinner {|{a}\rangle }\mathinner {\langle {b}|}^{\tilde{C}}\).
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Streltsov, A. (2015). Quantum Discord in Quantum Information Theory. In: Quantum Correlations Beyond Entanglement. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-09656-8_5
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