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arXiv · 0812.3001

Are random pure states useful for quantum computation?

Michael J. Bremner·Caterina Mora·Andreas Winter
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Abstract

We show the following: a randomly chosen pure state as a resource for measurement-based quantum computation, is - with overwhelming probability - of no greater help to a polynomially bounded classical control computer, than a string of random bits. Thus, unlike the familiar "cluster states", the computing power of a classical control device is not increased from P to BQP, but only to BPP. The same holds if the task is to sample from a distribution rather than to perform a bounded-error computation. Furthermore, we show that our results can be extended to states with significantly less entanglement than random states.

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Michael J. Bremner, Caterina Mora, Andreas Winter. 2008-12-16. Are random pure states useful for quantum computation?. https://doi.org/10.1103/physrevlett.102.190502

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