A simpler Gaussian state-preparation

• URL: http://arxiv.org/abs/2508.03987v1
• Date: Wed, 06 Aug 2025 00:40:28 GMT
• Title: A simpler Gaussian state-preparation
• Authors: Parker Kuklinski, Benjamin Rempfer, Kevin Obenland, Justin Elenewski,
• Abstract summary: The ability to efficiently state-prepare Gaussian distributions is critical to the success of quantum algorithms.<n>We present a new, more intuitive method which uses exactly $n-1 rotations, $(n-2)(n-2) two-qubit controlled rotations, and $lfloor(n-1)/2rfloor$ ancilla to state-prepare an $n$-qubit Gaussian state.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The ability to efficiently state-prepare Gaussian distributions is critical to the success of numerous quantum algorithms. The most popular algorithm for this subroutine (Kitaev-Webb) has favorable polynomial resource scaling, however it faces enormous resource overheads making it functionally impractical. In this paper, we present a new, more intuitive method which uses exactly $n-1$ rotations, $(n-1)(n-2)/2$ two-qubit controlled rotations, and $\lfloor(n-1)/2\rfloor$ ancilla to state-prepare an $n$-qubit Gaussian state. We then apply optimizations to the circuit to render it linear in T-depth. This method can be extended to state-preparations of complex functions with polynomial phase.

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