Document Type

Article

Publication Date

4-30-2008

Publication Title

Physical Review A - Atomic, Molecular, and Optical Physics

Abstract

We show how to efficiently generate pseudorandom states suitable for quantum information processing via cluster-state quantum computation. By reformulating pseudorandom algorithms in the cluster-state picture, we identify a strategy for optimizing pseudorandom 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.

DOI

10.1103/PhysRevA.77.040303

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