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We study the intrinsic computational power of correlations exploited in measurement-based quantum computation.
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If there were no limitation on the exchange of data between parties and control, the framework would admit many models of computation which do not share MBQC’s correlation-based character, including the quantum circuit model. The correlations would then no longer be the sole source of computational power
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Strictly speaking, the measurement outcomes also act as a resource of randomness, so the complexity class B P P BPP is achieved
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We note that no genuine three-party non-locality is required for these correlations because the corresponding Svetlichny inequality [ 19 ] is not violated. In fact, a single non-local box can reproduce the correlations of the GHZ state with perfect probability [ 20 ]
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