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.

New presentation of relations between temporal quantum correlations and measurement based quantum computing

References in corpus (7)

• Multi-party entanglement in graph states
• Leggett-Garg Inequalities
• Novel schemes for measurement-based quantum computation
• Bounding temporal quantum correlations
• Sequentially generated states for the study of two dimensional systems
• Leggett-Garg inequalities and the geometry of the cut polytope
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Cited by in corpus (9)

• Non-classicality of temporal correlations
• Structure of temporal correlations of a qubit
• A Unifying Framework for Spatial and Temporal Quantum Correlations
• Memory cost of temporal correlations
• Temporal correlations in the simplest measurement sequences
• Divisible quantum dynamics satisfies temporal Tsirelson's bound
• A Spacetime Area Law Bound on Quantum Correlations
• Scalable noncontextuality inequalities and certification of multiqubit quantum systems
• Connecting XOR and XOR* games