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arXiv · 1406.4361

Quantum Oracles in Constant Depth with Measurement-Based Quantum Computation

Benoît Valiron
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Abstract

This paper shows that, in measurement-based quantum computation, it is possible to write any quantum oracle implementing a classical function in constant depth. The result is shown through the equivalence between MBQC and the circuit model where arbitrary rotations along $Z$ axis and unbounded fan-outs are elementary operations. A corollary of this result is that disjunction can be implemented exactly in constant-depth, answering an open question of H{\o}yer and \v{S}palek.

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Benoît Valiron. 2014-06-17. Quantum Oracles in Constant Depth with Measurement-Based Quantum Computation. https://arxiv.org/abs/1406.4361

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