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Scalable native multiqubit gates via engineered noncomputational-state interactions in superconducting fluxonium qubits

Peng Zhao, Peng Xu, Zheng-Yuan Xue

DOI 10.1103/xwny-vkft · Physical Review A

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Abstract

Native multiqubit gates could be essential for bridging the gap from current noisy devices to future utility-scale quantum computers, as they can substantially reduce circuit depth for near-term applications on noisy devices and may also lower the physical overhead of fault-tolerant quantum computation. Here we introduce a scalable protocol for implementing native multicontrolled gates on fluxonium qubits, supporting an arbitrary number of control qubits (N>1) while remaining compatible with existing single- and two-qubit gate realizations. Our approach leverages engineered interactions in noncomputational state manifolds to enable qubit-state selective transitions, which is activated for the direct implementation of (C⊗N)Z gates. We show that in square lattices with fluxonium qubits, CCZ, CCCZ, and CCCCZ gates with errors around 0.01 (0.001) are achievable, with gate lengths of 50(100)ns, 100(250)ns, and 150(300)ns, respectively. Looking forward, integrating these native multicontrolled gates with primitive single- and two-qubit gate sets within a single quantum processor could significantly enhance flexibility in circuit synthesis and offer a promising alternative pathway toward utility-scale quantum computing.

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