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Scalable Qumode-Qubit State Transfer and Fast-forward Quantum Fourier Transform using Oscillators

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arXiv:2604.12157v1 Announce Type: new Abstract: Transferring the information stored in the expansion coefficients of a multi-qubit state to the coefficients of a continuous-variable state is an important protocol for communicating quantum information. It was shown in previous work how to transfer an $n$-qubit state to a single qumode in $\mathcal{O}(2^n)$ time. We show that by transferring this state to $m$ qumodes, the runtime can be improved to $\mathcal{O}(2^{n/m})$. Furthermore, we demonstra

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Quantum Physics [Submitted on 14 Apr 2026] Scalable Qumode-Qubit State Transfer and Fast-forward Quantum Fourier Transform using Oscillators Joel Bierman, Shubdeep Mohapatra, Huiyang Zhou, Yuan Liu Transferring the information stored in the expansion coefficients of a multi-qubit state to the coefficients of a continuous-variable state is an important protocol for communicating quantum information. It was shown in previous work how to transfer an n-qubit state to a single qumode in \mathcal{O}(2^n) time. We show that by transferring this state to m qumodes, the runtime can be improved to \mathcal{O}(2^{n/m}). Furthermore, we demonstrate how multi-qumode state transfer can be used as a subroutine for approximately realizing the n-qubits quantum Fourier transform on m-qumode with runtime scaling \mathcal{O}(m2^{n/m}/\epsilon+m^2), accelerating qubit quantum Fourier transform using qumodes. This work presents a scalable approach to convert discrete and continuous quantum information between an arbitrary number of qubits and qumodes. It represents a crucial step forward in mixed analog-digital quantum signal processing for computing, sensing, and communication. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.12157 [quant-ph] (or arXiv:2604.12157v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.12157 Focus to learn more Submission history From: Joel Bierman [view email] [v1] Tue, 14 Apr 2026 00:18:41 UTC (387 KB) Access Paper: view license Current browse context: quant-ph < prev | next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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