Near-optimal synthesis of non-Gaussian phase gates via qubit-oscillator Rabi control
Abstract
Non-Gaussian gates remain a key bottleneck for universal continuous-variable (CV) quantum computation because the nonlinearities they require are difficult to engineer. To address this challenge, we develop an efficient qubit-oscillator Rabi synthesis scheme for polynomial phase gates, with a total interaction time that scales polylogarithmically with the inverse target error ε. Specifically, for a class of readily preparable initial states, we show that a degree-R phase gate can be approximated by an analytically constructed Rabi sequence with total time O(log(R−1)/2+o(1)(1/ε)). This construction requires no numerical optimization and therefore extends naturally to arbitrarily large multimode systems. We further establish a total-time lower bound of Ω(log(R−1)/2(1/ε)), showing that the synthesis is near optimal. As applications, we use this scheme to simulate representative CV quantum dynamics and implement a CV quantum algorithm for solving linear partial differential equations. These results establish qubit-oscillator Rabi control as an efficient, analytically compilable, and near-optimal primitive for CV quantum information processing.
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BibTeX
@misc{yang2026nearoptimal,
title = {{Near-optimal synthesis of non-Gaussian phase gates via qubit-oscillator Rabi control}},
author = {Zhen Yang and Shan Jin and Zi-Wen Liu and Xiaoting Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09132},
eprint = {2609.09132},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09132},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Near-optimal synthesis of non-Gaussian phase gates via qubit-oscillator Rabi control
AU - Zhen Yang
AU - Shan Jin
AU - Zi-Wen Liu
AU - Xiaoting Wang
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.09132
UR - https://arxiv.org/abs/2609.09132
AB - Non-Gaussian gates remain a key bottleneck for universal continuous-variable (CV) quantum computation because the nonlinearities they require are difficult to engineer. To address this challenge, we develop an efficient qubit-oscillator Rabi synthesis scheme for polynomial phase gates, with a total interaction time that scales polylogarithmically with the inverse target error ε. Specifically, for a class of readily preparable initial states, we show that a degree-R phase gate can be approximated by an analytically constructed Rabi sequence with total time O(log^(R−1)/2+o(1)(1/ε)). This construction requires no numerical optimization and therefore extends naturally to arbitrarily large multimode systems. We further establish a total-time lower bound of Ω(log^(R−1)/2(1/ε)), showing that the synthesis is near optimal. As applications, we use this scheme to simulate representative CV quantum dynamics and implement a CV quantum algorithm for solving linear partial differential equations. These results establish qubit-oscillator Rabi control as an efficient, analytically compilable, and near-optimal primitive for CV quantum information processing.
ER -