Scalable Qumode-Qubit State Transfer and Fast-forward Quantum Fourier Transform using Oscillators
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915936159662080 |
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| author | Bierman, Joel Mohapatra, Shubdeep Zhou, Huiyang Liu, Yuan |
| author_facet | Bierman, Joel Mohapatra, Shubdeep Zhou, Huiyang Liu, Yuan |
| contents | 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 $\mathcal{O}(m2^{n/m}/ε+m^2)$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12157 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scalable Qumode-Qubit State Transfer and Fast-forward Quantum Fourier Transform using Oscillators Bierman, Joel Mohapatra, Shubdeep Zhou, Huiyang Liu, Yuan Quantum Physics 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 $\mathcal{O}(m2^{n/m}/ε+m^2)$, 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. |
| title | Scalable Qumode-Qubit State Transfer and Fast-forward Quantum Fourier Transform using Oscillators |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.12157 |