Sparse Phase Ansatzes for Resource-Efficient Qudit State Preparation via the SNAP-Displacement Protocol

• URL: http://arxiv.org/abs/2603.12203v1
• Date: Thu, 12 Mar 2026 17:28:34 GMT
• Title: Sparse Phase Ansatzes for Resource-Efficient Qudit State Preparation via the SNAP-Displacement Protocol
• Abstract summary: We study resource-efficient quantum state preparation in bosonic qudit systems using the SNAP-displacement protocol.<n>Existing approaches typically require a large number of gates and SNAP phases, resulting in complex control pulses.<n>We propose to optimize only a subset of the SNAP phases and introduce three progressively more general sparse ansatzes.
• Score: 3.3890946322333644
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Efficient preparation of nonclassical bosonic states is a central requirement for quantum computing, simulation, and precision metrology. We study resource-efficient quantum state preparation in bosonic qudit systems using the SNAP-displacement (SD) protocol. Existing SD-based approaches typically require a large number of gates and SNAP phases, resulting in complex control pulses, increasing the ansatz duration, and amplifying the impact of photon-loss and control errors. In this work, we focus on the near- to medium-term regime, in which noisy quantum devices impose trade-offs on the fidelity that can be achieved, which must be taken into account. Specifically, we propose to optimize only a subset of the SNAP phases and introduce three progressively more general sparse ansatzes. To provide fine-grained control and identify the most suitable ansatz for a given target fidelity, we further employ a scalarized multi-objective optimization that trades off fidelity against either the number of phases or the duration of the ansatz. Numerical results for several target states and qudit dimensions up to $d=64$ show that these sparse ansatzes achieve favorable trade-offs compared to the fully parameterized SD protocol in both ideal and noisy settings, consistently reducing the number of required phases and suggesting a practical route to more efficient near- and medium-term bosonic state preparation.

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