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    Replacement-type quantum gates

    Florian Ginzel1, Javad Kazemi1, Valentin Torggler1, and Wolfgang Lechner1,2,3,4

    • 1Parity Quantum Computing Germany GmbH, Schauenburgerstraße 6, 20095 Hamburg, Germany
    • 2Parity Quantum Computing GmbH, Rennweg 1, Top 314, 6020 Innsbruck, Austria
    • 3Parity Quantum Computing France SAS, 10 Avenue de Kléber, 75016 Paris, France
    • 4Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria

    Phys. Rev. A 113, 022621 – Published 23 February, 2026

    DOI: https://doi.org/10.1103/frwk-cb6n

    Abstract

    We introduce the paradigm of replacement-type quantum gates. This type of gate introduces input qubits, candidate qubits, and output qubits. The candidate qubits are prepared such that a displacement conditional on the input qubit results in the targeted output state. Finally, the circuit continues with the output qubits constructed from the candidate qubits instead of the input qubits, thus the name “replacement-type gate.” We present examples of replacement-type X and CNOT gates realized with spin qubits and with neutral atom qubits with error rates predicted near the threshold of the XZZX surface code. By making use of the extended Hilbert space, including the position of the particles, these gates approximately preserve the innate noise bias of the qubits. The gate preserves the noise bias which motivates advanced quantum computer architectures with quantum error correction.

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