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arXiv 2201.02877quant-phcond-mat.mes-hall
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具有稀疏二维连接的硅量子处理器的编译和缩放策略

Compilation and scaling strategies for a silicon quantum processor with sparse two-dimensional connectivity

O. Crawford, J. R. Cruise, N. Mertig, M. F. Gonzalez-Zalba

摘要:

受现有硅量子硬件规模扩大的挑战的启发,我们研究了稀疏连接的2d量子位排列的编译策略,并提出了一种具有最小编译开销的自旋量子位架构。我们的架构是基于硅纳米线分裂栅晶体管,它可以形成有限的一维自旋量子位链,并允许执行两个量子位操作,如邻居之间的交换门。除此之外,我们描述了一种新型的硅结,它可以通过自旋穿梭和交换操作将多达四个纳米线耦合到2D排列中。考虑到这些硬件元素,我们提出了一个模块化的稀疏二维自旋量子位结构,其单位单元由对角线方向的正方形组成,边缘有纳米线,角落有结。我们表明,这种架构允许编译策略优于一流的编译策略的一维链,不仅渐近,但也下降到一个广场的最小结构。所提出的架构表现出良好的缩放特性,允许平衡之间的权衡编译开销和协同定位的经典控制电子在每个正方形内通过调整纳米线的长度。所提出的架构的一个吸引人的特点是它的可制造性,使用互补金属氧化物半导体(CMOS)制造工艺。最后,我们注意到,我们的编译策略虽然受到自旋量子位的启发,但对于任何其他具有稀疏2D连接的量子处理器同样有效。

英文摘要:

Inspired by the challenge of scaling up existing silicon quantum hardware, we investigate compilation strategies for sparsely-connected 2d qubit arrangements and propose a spin-qubit architecture with minimal compilation overhead. Our architecture is based on silicon nanowire split-gate transistors which can form finite 1d chains of spin-qubits and allow the execution of two-qubit operations such as Swap gates among neighbors. Adding to this, we describe a novel silicon junction which can couple up to four nanowires into 2d arrangements via spin shuttling and Swap operations. Given these hardware elements, we propose a modular sparse 2d spin-qubit architecture with unit cells consisting of diagonally-oriented squares with nanowires along the edges and junctions on the corners. We show that this architecture allows for compilation strategies which outperform the best-in-class compilation strategy for 1d chains, not only asymptotically, but also down to the minimal structure of a single square. The proposed architecture exhibits favorable scaling properties which allow for balancing the trade-off between compilation overhead and co-location of classical control electronics within each square by adjusting the length of the nanowires. An appealing feature of the proposed architecture is its manufacturability using complementary-metal-oxide-semiconductor (CMOS) fabrication processes. Finally, we note that our compilation strategies, while being inspired by spin-qubits, are equally valid for any other quantum processor with sparse 2d connectivity.

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