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Near-optimal synthesis of non-Gaussian phase gates via qubit-oscillator Rabi control — arXiv:2609.09132

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.09132
License (as archived): CC0-1.0
Archived: 2026-10-16T15:44:50.554Z
SHA-256 of the archived text: e5b72316a5668e16becda658d9255d87d4a4eb86227054ca5ee089141718fd0e
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How to cite

Near-optimal synthesis of non-Gaussian phase gates via qubit-oscillator Rabi control — arXiv:2609.09132 — arXiv (en), https://arxiv.org/abs/2609.09132 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_a40dfdae29c8 (Metraipolis archive dc_a40dfdae29c8, sha256 e5b72316a5668e16becda658d9255d87d4a4eb86227054ca5ee089141718fd0e)

BibTeX

@misc{dca40dfdae29c8,
  title = {Near-optimal synthesis of non-Gaussian phase gates via qubit-oscillator Rabi control — arXiv:2609.09132},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.09132},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_a40dfdae29c8; sha256 e5b72316a5668e16becda658d9255d87d4a4eb86227054ca5ee089141718fd0e},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.09132. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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 \(\varepsilon\). 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 \(O(\log^{(R-1)/2+o(1)}(1/\varepsilon))\). This construction requires no numerical optimization and therefore extends naturally to arbitrarily large multimode systems. We further establish a total-time lower bound of \(\Omega(\log^{(R-1)/2}(1/\varepsilon))\), 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.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-09 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.09132 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T15:32:34.885Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-09?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).