Encoding quantum-like information in classical synchronizing dynamics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912310693462016 |
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| author | Amati, Graziano Scholes, Gregory D. |
| author_facet | Amati, Graziano Scholes, Gregory D. |
| contents | In previous work, we introduced a formalism that maps classical networks of nonlinear oscillators onto a quantum-like Hilbert space. We demonstrated that specific network transformations correspond to quantum gates, underscoring the potential of classical many-body systems as platforms for quantum-inspired information processing. In this paper, we extend this framework by systematically identifying the classical dynamics best suited for this purpose. Specifically, we address the question: Can the collective steady state of a classical network encode signatures of quantum information? We prove that the answer is affirmative for a special class of synchronizing many-body systems, namely, a complex-field extension of the Kuramoto model of nonlinearly coupled classical oscillators. Through this approach, we investigate how quantum-like entangled states can emerge from classical synchronization dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03852 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Encoding quantum-like information in classical synchronizing dynamics Amati, Graziano Scholes, Gregory D. Quantum Physics In previous work, we introduced a formalism that maps classical networks of nonlinear oscillators onto a quantum-like Hilbert space. We demonstrated that specific network transformations correspond to quantum gates, underscoring the potential of classical many-body systems as platforms for quantum-inspired information processing. In this paper, we extend this framework by systematically identifying the classical dynamics best suited for this purpose. Specifically, we address the question: Can the collective steady state of a classical network encode signatures of quantum information? We prove that the answer is affirmative for a special class of synchronizing many-body systems, namely, a complex-field extension of the Kuramoto model of nonlinearly coupled classical oscillators. Through this approach, we investigate how quantum-like entangled states can emerge from classical synchronization dynamics. |
| title | Encoding quantum-like information in classical synchronizing dynamics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.03852 |