Abstract
Operations that are trivial in the classical world, like accessing information without introducing any change or disturbance, or like copying information, become non-trivial in the quantum world. In this chapter we will discuss several limitations in the local redistributing correlations, when it comes to dealing with bipartite quantum states. In particular, we focus on the task of local broadcasting, by discussing relevant no-go theorems, and by quantifying the non-classicality of correlations in terms of the degree to which local broadcasting is possible in an approximate fashion.
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Notes
- 1.
A large part of the study about optimal cloners deals with single system, where it is natural to discuss the cloning of a set of states, or universal cloners, where the figure of merit is either an average, or state-independent (for pure states).
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Acknowledgements
The productions of these notes was supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 661338. I would like to thank the Institute for Quantum Computing at the University of Waterloo for its hospitality during the completion of these notes.
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Piani, M. (2017). Local Broadcasting of Quantum Correlations. In: Fanchini, F., Soares Pinto, D., Adesso, G. (eds) Lectures on General Quantum Correlations and their Applications. Quantum Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-53412-1_9
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