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arXiv · 1410.3753

Near-deterministic creation of universal cluster states with probabilistic Bell measurements and 3-qubit resource states

Hussain Zaidi·Chris Dawson·Peter van Loock·Terry Rudolph
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Abstract

We develop a scheme for generating a universal qubit cluster state using probabilistic Bell measurements without the need for feed-forward or long-time quantum memories. Borrowing ideas from percolation theory we numerically show that using unambiguous Bell measurements that succeed with 75% success probability, one could build a cluster state with an underlying pyrochlore geometry such that the probability of having a spanning cluster in a chosen direction approaches unity in the limit of an infinite lattice size. The initial resources required for the generation of a universal state in our protocol are 3-qubit cluster states that are within experimental reach and are a minimal resource for a Bell-measurement-based percolation proposal. Since single and multi-photon losses can be detected in Bell measurements, our protocol raises the prospect of a fully error-robust scheme.

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Hussain Zaidi, Chris Dawson, Peter van Loock, Terry Rudolph. 2014-10-14. Near-deterministic creation of universal cluster states with probabilistic Bell measurements and 3-qubit resource states. https://doi.org/10.1103/physreva.91.042301

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