Genuinely multi-point temporal quantum correlations and universal measurement-based quantum computing
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.
Cite
@article{arxiv.1309.7650,
title = {Genuinely multi-point temporal quantum correlations and universal measurement-based quantum computing},
author = {Marcin Markiewicz and Anna Przysiezna and Stephen Brierley and Tomasz Paterek},
journal= {arXiv preprint arXiv:1309.7650},
year = {2014}
}
Comments
New presentation of relations between temporal quantum correlations and measurement based quantum computing