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Valence Bond Solids for Quantum Computation

F. Verstraete·J. I. Cirac
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Abstract

Cluster states are entangled multipartite states which enable to do universal quantum computation with local measurements only. We show that these states have a very simple interpretation in terms of valence bond solids, which allows to understand their entanglement properties in a transparent way. This allows to bridge the gap between the differences of the measurement-based proposals for quantum computing, and we will discuss several features and possible extensions.

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F. Verstraete, J. I. Cirac. 2003-11-19. Valence Bond Solids for Quantum Computation. https://doi.org/10.1103/physreva.70.060302

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