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arXiv · 1309.7650

Genuinely multi-point temporal quantum correlations and universal measurement-based quantum computing

Marcin Markiewicz·Anna Przysiezna·Stephen Brierley·Tomasz Paterek
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Abstract

We introduce a constructive procedure that maps all spatial correlations of a broad class of states into temporal correlations between general quantum measurements. This allows us to present temporal phenomena analogous to genuinely multipartite nonlocal phenomena, such as Greenberger-Horne-Zeilinger correlations, which do not exist if only projective measurements on qubits are considered. The map is applied to certain lattice systems in order to replace one spatial dimension with a temporal one, without affecting measured correlations. We use this map to show how repeated application of a 1d-cluster-gate leads to universal one-way quantum computing when supplemented with the general measurements.

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Marcin Markiewicz, Anna Przysiezna, Stephen Brierley, Tomasz Paterek. 2014-03-20. Genuinely multi-point temporal quantum correlations and universal measurement-based quantum computing. https://doi.org/10.1103/physreva.89.062319

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