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Noncommutative metasurfaces enabled diverse quantum path entanglement of structured photons
非交换超表面实现了结构化光子的多样化量子路径纠缠
非可換メタサーフェスによる構造化光子の多様な量子経路エンタングルメント
비가환 메타표면은 구조화된 광자의 다양한 양자 경로 얽힘을 가능하게 했다
Las metasuperficies no conmutativas permitieron el entrelazamiento de diversos caminos cuánticos de fotones estructurados
Les métasurfaces non commutatives permettent l'intrication de divers chemins quantiques de photons structurés
Неабелевы метаповерхности позволили создать разнообразную запутанность квантовых путей структурированных фотонов
Yan Wang 王艳, Yichang Shou 寿一畅, Jiawei Liu 刘佳威, Qiang Yang 杨强, Shizhen Chen 陈世祯, Weixing Shu 舒维星, Shuangchun Wen 文双春, Hailu Luo 罗海陆
Laboratory for Spin Photonics, School of Physics and Electronics, Hunan University, Changsha 410082, China
中国 长沙 湖南大学物理与微电子科学学院 自旋光子学实验室
Opto-Electronic Science, 16 October 2025
Abstract

Quantum entanglement, a fundamental concept in quantum mechanics, lies at the heart of many current and future quantum technologies. A pivotal task is the generation and control of diverse quantum entangled states in a more compact and flexible manner. Here, we introduce an approach to achieve diverse path entanglement by exploiting the interaction between noncommutative metasurfaces and entangled photons.

Different from other path entanglements, our quantum path entanglement is evolution path entanglement of photons on Poincaré sphere. Due to quantum entanglement between idler photons and structured signal photons, evolution path of idler photons on the fundamental Poincaré sphere can be nonlocally mirrored by structured signal photons on any higher-order Poincaré sphere, resulting in quantum path entanglement.

Benefiting from noncommutative metasurfaces, diverse quantum path entanglement can be switched across different higher-order Poincaré spheres using distinct combination sequences of metasurfaces. Our method allows for the tuning of diverse quantum path entanglement across a broad spectrum of quantum states, offering a significant advancement in the manipulation of quantum entanglement.
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