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Classical simulation of limited-width cluster-state quantum computation

Nadav Yoran·Anthony J. Short
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Abstract

We present a classical protocol, using the matrix product state representation, to simulate cluster-state quantum computation at a cost polynomial in the number of qubits in the cluster and exponential in d -- the width of the cluster. We use this result to show that any log-depth quantum computation in the gate array model, with gates linking only nearby qubits, can be simulated efficiently on a classical computer.

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Nadav Yoran, Anthony J. Short. 2006-01-26. Classical simulation of limited-width cluster-state quantum computation. https://doi.org/10.1103/physrevlett.96.170503

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