Engineering Non-Gaussian Bosonic Gates through Quantum Signal Processing

• URL: http://arxiv.org/abs/2508.20261v2
• Date: Thu, 30 Oct 2025 06:30:06 GMT
• Title: Engineering Non-Gaussian Bosonic Gates through Quantum Signal Processing
• Authors: Pak-Tik Fong, Hoi-Kwan Lau,
• Abstract summary: We propose to use quantum signal processing techniques to engineer non-Gaussian gates on hybrid qumode-qubit systems.<n>For systems with dispersive coupling, our scheme can generate a new non-Gaussian gate.<n>The gate unlocks new applications, for example, in entangling logical qudits and deterministically generating multi-component cat states.
• Score: 0.0687531213383208
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Gaussian operations are essential for most bosonic quantum technologies. Yet, realizable non-Gaussian gates are rather limited in type and generally suffer from accuracy-duration trade-offs. In this work, we propose to use quantum signal processing (QSP) techniques to engineer non-Gaussian gates on hybrid qumode-qubit systems. For systems with dispersive coupling, our scheme can generate a new non-Gaussian gate that produces a phase shift depending on the modulus of the boson number. This gate reproduces the selective number-dependent arbitrary phase (SNAP) gates under certain parameter choices, but with higher accuracy within a short, fixed and excitation-independent interaction time. The gate unlocks new applications, for example, in entangling logical qudits and deterministically generating multi-component cat states. Additionally, our versatile QSP formalism can be extended to systems with other interactions, and also engineer non-unitary operations, such as noiseless linear amplification and generalized-parity measurement.

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