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arXiv:1109.5987 · Physics Letters A

Quantum computation with programmable connections between gates

Timoteo Colnaghi, Giacomo Mauro D’Ariano, Stefano Facchini, Paolo Perinotti

Published Aug 22, 2012• 110 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2012.08.028

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Fault tolerant quantum computers greatly benefit from having both high fidelity entangling gates and a non-local qubit connectivity. However, most entangling gates for neutral atoms are local, requiring separated atoms to be moved using optical tweezers to yield entanglement between them. Here, we design a high fidelity Mølmer Sørensen-like entangling gate between neutral atoms coupled to a photonic cavity, enabling a programmable all-to-all connectivity through the shared cavity coupling. The gate is both robust to changes in cavity photon number, and enables selective entanglement between any subset of separated atoms through local laser addressing. This eliminates the need to physically move atoms to perform the gate, and therefore motional errors and erasure are suppressed. Using experimentally realistic parameters we demonstrate gate fidelities exceeding F>0.99F > 0.99F>0.99, with higher fidelities achievable through optimal control of the pump amplitudes.
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Neutral atom arrays, particularly the reconfigurable field programmable qubit arrays (FPQA) with atom movement, show strong promise for quantum computing. FPQA has a dynamic qubit connectivity, facilitating cost-effective execution of long-range gates, but it also poses new challenges in the compilation. Inspired by the FPGA compilation strategy, we develop a router, Q-Pilot, that leverages flying ancillas to implement 2-Q gates between data qubits mapped to fixed atoms. Equipped with domain-specific routing techniques, Q-Pilot achieves 1.4×, 27.7×, and 6.7× reductions in circuit depth for 100-qubit random, quantum simulation, and QAOA circuits, respectively, compared to alternative fixed atom array architectures.