Error-Resistant Distributed Quantum Computation in Trapped Ion Chain

Abstract

We consider experimentally feasible chains of trapped ions with pseudo-spin 1/2, and find models that can potentially be used to implement error-resistant quantum computation. Similar in spirit to classical neural networks, the error-resistance of the system is achieved by encoding the qubits distributed over the whole system. We therefore call our system a ''quantum neural network'', and present a ''quantum neural network model of quantum computation''. Qubits are encoded in a few quasi-degenerated low energy levels of the whole system, separated by a large gap from the excited states, and large energy barriers between themselves. We investigate protocols for implementing a universal set of quantum logic gates in the system, by adiabatic passage of a few low-lying energy levels of the whole system. Naturally appearing and potentially dangerous distributed noise in the system leaves the fidelity of the computation virtually unchanged, if it is not too strong. The computation is also naturally resilient to local perturbations of the spins.

10 pages, 7 figures, RevTeX4; v2: another noise model analysed, published version

References in corpus (4)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Scalable multi-particle entanglement of trapped ions
• A microfabricated surface-electrode ion trap for scalable quantum information processing
• Trapped Ion Chain as a Neural Network: Error Resistant Quantum Computation

Cited by in corpus (1)

• Individual addressing of trapped ions and coupling of motional and spin states using rf radiation