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

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.

References in corpus (12)

• Long-distance quantum communication with atomic ensembles and linear optics
• Quantum Teleportation is a Universal Computational Primitive
• Resource-efficient linear optical quantum computation
• A Multiparticle Generalization of Entanglement Swapping
• Optical quantum computation using cluster states
• Manipulating multi-photon entanglement in waveguide quantum circuits
• Maximum efficiency of a linear-optical Bell-state analyzer
• How good must single photon sources and detectors be for efficient linear optical quantum computation?
• 3/4-efficient Bell measurement with passive linear optics and unentangled ancillae
• Percolation, renormalization, and quantum computing with non-deterministic gates
• Beating the One-half Limit of Ancilla-free Linear Optics Bell Measurements
• Loss Tolerant Linear Optical Quantum Memory By Measurement Based Quantum Computing

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