6533b835fe1ef96bd129fd6c

RESEARCH PRODUCT

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

Hussain ZaidiChristopher M. DawsonPeter Van LoockTerry Rudolph

subject

PhysicsCluster stateProbabilistic logicQuantum PhysicsState (functional analysis)01 natural sciencesAtomic and Molecular Physics and Optics010305 fluids & plasmasPercolation theoryQubitQuantum mechanics0103 physical sciencesCluster (physics)Statistical physicsLimit (mathematics)010306 general physicsQuantum computer

description

We develop a scheme for generating a universal qubit cluster state using probabilistic Bell measurements without the need for feed-forward. 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 approaches unity in the limit of infinite lattice size. The initial resources required for the generation of a universal state in our protocol are three-qubit cluster states that are within experimental reach and are a minimal resource for a Bell-measurement-based percolation proposal. Since single and multiphoton losses can be detected in Bell measurements, our protocol raises the prospect of a fully error-robust scheme.

https://doi.org/10.1103/physreva.91.042301