📝 SummarXiv

Abstract

Significant advances in silicon spin qubits highlight the potential of silicon quantum dots for scalable quantum computing, given their compatibility with industrial fabrication and long coherence times. In particular, phosphorus (P)-doped spin qubits possess excellent coherence and have demonstrated high-fidelity two-qubit gates exceeding 99.9%. However, scaling P-donor systems is challenging due to crosstalk caused by the uniformity of individual P donors and the low tolerance for imprecise atomic placement. Stochastic placement can lead to multiple donors located within a small region (diameter <3 nm), forming a so-called donor cluster. Notably, in cluster-based systems, high-fidelity multi-qubit quantum gates and all-to-all connectivity have recently been demonstrated experimentally on nuclear spin qubits. In this work, we propose a scalable cluster-array architecture for nuclear spin qubits and a corresponding control protocol. We analyze crosstalk-induced errors, a major error source, during primitive operations under various parameters, showing that they can be suppressed through device design and control optimization. We evaluate the fidelities of intra- and inter-cluster multi-qubit gates between nuclear spins, confirming the feasibility of our architecture and establishing design requirements and parameter targets. The local all-to-all connectivity within clusters provides unique flexibility for quantum error correction. Our scalable scheme provides a path toward large-scale spin-based quantum processors.