Two-dimensional cluster-state preparation with linear ion traps

Abstract

We present schemes to prepare two-dimensional cluster states [H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. {\bf 86}, 910 (2001)] with atomic ions confined in a micro-structured linear ion trap and coupled by an engineered spin-spin interaction. In particular, we show how to prepare a $n\times 2$ cluster state by creating a linear cluster state and adding third-neighbor entanglement using selective recoupling techniques. The scheme is based on the capabilities provided by segmented linear Paul traps to confine ions in local potential wells and to separate and transport ions between these wells. Furthermore, we consider creating 3 and 4-qubit cluster states by engineering the coupling matrix such that through the periodicity of the time evolution unwanted couplings are canceled. All entangling operations are achieved by switching of voltages and currents, and do not require interaction with laser light.

Polished and published version, amended author list, amended list of references

References in corpus (8)

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• Optimal verification of entanglement in a photonic cluster state experiment
• Error-correcting one-way quantum computation with global entangling gates
• Time-bin entanglement in the deterministic generation of linear photonic cluster states
• Testing CPT violation, entanglement and gravitational interactions in particle mixing with trapped ions
• Quantum Software Ecosystem Design
• Resource state generation for a multispin register in a hybrid matter-photon quantum information processor