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 (25)

• Persistent entanglement in arrays of interacting particles
• Measurement-based quantum computation with cluster states
• Experimental One-Way Quantum Computing
• Multi-particle entanglement of hot trapped ions
• Effective quantum spin systems with ion traps
• Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
• Entanglement and quantum computation with ions in thermal motion
• Experimental entanglement of six photons in graph states
• Heating of trapped ions from the quantum ground state
• Cluster-state quantum computation
• Ion-trap quantum logic using long-wavelength radiation
• Stability of macroscopic entanglement under decoherence
• Scaling and Suppression of Anomalous Quantum Decoherence in Ion Traps
• Suppression of Heating Rates in Cryogenic Surface-Electrode Ion Traps
• T-junction ion trap array for two-dimensional ion shuttling, storage and manipulation
• Individual addressing of trapped ions and coupling of motional and spin states using rf radiation
• Experimental Realization of Deutsch's Algorithm in a One-way Quantum Computer
• Efficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices
• Transport dynamics of single ions in segmented microstructured Paul trap arrays
• The one-way quantum computer -- a non-network model of quantum computation
• Sideband cooling and coherent dynamics in a microchip multi-segmented ion trap
• Optimization of segmented linear Paul traps and transport of stored particles
• A quantum computer using a trapped-ion spin molecule and microwave radiation
• Efficient Construction of Photonic Quantum Computational Clusters
• Array of planar Penning traps as a nuclear magnetic resonance molecule for quantum computation

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