One-dimensional quantum computing with a 'segmented chain' is feasible with today's gate fidelities

Abstract

In principle a 1D array of nearest-neighbour linked qubits is compatible with fault tolerant quantum computing. However such a restricted topology necessitates a large overhead for shuffling qubits and consequently the fault tolerance threshold is far lower than in 2D architectures. Here we identify a middle ground: a 1D segmented chain which is a linear array of segments, each of which is a well-connected zone with all-to-all connectivity. The architecture is relevant to both ion trap and solid-state systems. We establish that fault tolerance can be achieved either by a surface code alone, or via an additional concatenated four-qubit gauge code. We find that the fault tolerance threshold is 0.12% for 15-qubit segments, while larger segments are superior. For 35 or more qubits per segment one can achieve computation on a meaningful scale with today's state-of-the-art fidelities without the use of the upper concatenation layer, thus minimising the overall device size.

15 pages, 12 figures

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Cited by in corpus (7)

• Single-electron control in a foundry-fabricated two-dimensional qubit array
• Scaling Phononic Quantum Networks of Solid-State Spins with Closed Mechanical Subsystems
• Towards early fault tolerance on a 2$\times$N array of qubits equipped with shuttling
• Ion transport and reordering in a two-dimensional trap array
• Generation of scalable many-body Bell correlations in spin chains with short-range two-body interactions
• Logical Error Rates for the Surface Code Under a Mixed Coherent and Stochastic Circuit-Level Noise Model Inspired by Trapped Ions
• Transfer of quantum-enhanced information through a many-body system