Principles of Optics in the Fock Space: Scalable Manipulation of Giant Quantum States

Fuente: arXiv
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Main Authors: Xu, Yifang, Zhou, Yilong, Hua, Ziyue, Sun, Lida, Zhou, Jie, Wang, Weiting, Cai, Weizhou, Huang, Hongwei, Xiao, Lintao, Xue, Guangming, Yu, Haifeng, Li, Ming, Zou, Chang-Ling, Sun, Luyan
Format: Preprint
Published: 2026
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author Xu, Yifang
Zhou, Yilong
Hua, Ziyue
Sun, Lida
Zhou, Jie
Wang, Weiting
Cai, Weizhou
Huang, Hongwei
Xiao, Lintao
Xue, Guangming
Yu, Haifeng
Li, Ming
Zou, Chang-Ling
Sun, Luyan
author_facet Xu, Yifang
Zhou, Yilong
Hua, Ziyue
Sun, Lida
Zhou, Jie
Wang, Weiting
Cai, Weizhou
Huang, Hongwei
Xiao, Lintao
Xue, Guangming
Yu, Haifeng
Li, Ming
Zou, Chang-Ling
Sun, Luyan
contents The manipulation of distinct degrees of freedom of photons plays a critical role in both classical and quantum information processing. While the principles of wave optics provide elegant and scalable control over classical light in spatial and temporal domains, engineering quantum states in Fock space has been largely restricted to few-photon regimes, hindered by the computational and experimental challenges of large Hilbert spaces. Here, we introduce ``Fock-space optics", establishing a conceptual framework of wave propagation in the quantum domain by treating photon number as a synthetic dimension. Using a superconducting microwave resonator, we experimentally demonstrate Fock-space analogues of optical propagation, refraction, lensing, dispersion, and interference with up to 180 photons. These results establish a fundamental correspondence between Schrödinger evolution in a single bosonic mode and classical paraxial wave propagation. By mapping intuitive optical concepts onto high-dimensional quantum state engineering, our work opens a path toward scalable control of large-scale quantum systems with thousands of photons and advanced bosonic information processing.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10325
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Principles of Optics in the Fock Space: Scalable Manipulation of Giant Quantum States
Xu, Yifang
Zhou, Yilong
Hua, Ziyue
Sun, Lida
Zhou, Jie
Wang, Weiting
Cai, Weizhou
Huang, Hongwei
Xiao, Lintao
Xue, Guangming
Yu, Haifeng
Li, Ming
Zou, Chang-Ling
Sun, Luyan
Quantum Physics
The manipulation of distinct degrees of freedom of photons plays a critical role in both classical and quantum information processing. While the principles of wave optics provide elegant and scalable control over classical light in spatial and temporal domains, engineering quantum states in Fock space has been largely restricted to few-photon regimes, hindered by the computational and experimental challenges of large Hilbert spaces. Here, we introduce ``Fock-space optics", establishing a conceptual framework of wave propagation in the quantum domain by treating photon number as a synthetic dimension. Using a superconducting microwave resonator, we experimentally demonstrate Fock-space analogues of optical propagation, refraction, lensing, dispersion, and interference with up to 180 photons. These results establish a fundamental correspondence between Schrödinger evolution in a single bosonic mode and classical paraxial wave propagation. By mapping intuitive optical concepts onto high-dimensional quantum state engineering, our work opens a path toward scalable control of large-scale quantum systems with thousands of photons and advanced bosonic information processing.
title Principles of Optics in the Fock Space: Scalable Manipulation of Giant Quantum States
topic Quantum Physics
url https://arxiv.org/abs/2601.10325