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arXiv · 0802.2675

Quantum pseudo-randomness from cluster-state quantum computation

Winton G. Brown·Yaakov S. Weinstein·Lorenza Viola
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Abstract

We show how to efficiently generate pseudo-random states suitable for quantum information processing via cluster-state quantum computation. By reformulating pseudo-random algorithms in the cluster-state picture, we identify a strategy for optimizing pseudo-random circuits by properly choosing single-qubit rotations. A Markov chain analysis provides the tool for analyzing convergence rates to the Haar measure and finding the optimal single-qubit gate distribution. Our results may be viewed as an alternative construction of approximate unitary 2-designs.

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Winton G. Brown, Yaakov S. Weinstein, Lorenza Viola. 2008-05-15. Quantum pseudo-randomness from cluster-state quantum computation. https://doi.org/10.1103/physreva.77.040303

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