Quantum Path Signatures
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916885044396032 |
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| author | Crew, Samuel Salvi, Cristopher Turner, William F. Cass, Thomas Jacquier, Antoine |
| author_facet | Crew, Samuel Salvi, Cristopher Turner, William F. Cass, Thomas Jacquier, Antoine |
| contents | We elucidate physical aspects of path signatures by formulating randomised path developments within the framework of matrix models in quantum field theory. Using tools from physics, we introduce a new family of randomised path developments and derive corresponding loop equations. We then interpret unitary randomised path developments as time evolution operators on a Hilbert space of qubits. This leads to a definition of a quantum path signature feature map and associated quantum signature kernel through a quantum circuit construction. In the case of the Gaussian matrix model, we study a random ensemble of Pauli strings and formulate a quantum algorithm to compute such kernel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05103 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Path Signatures Crew, Samuel Salvi, Cristopher Turner, William F. Cass, Thomas Jacquier, Antoine Quantum Physics Probability 81-08, 81-10, 60L10 We elucidate physical aspects of path signatures by formulating randomised path developments within the framework of matrix models in quantum field theory. Using tools from physics, we introduce a new family of randomised path developments and derive corresponding loop equations. We then interpret unitary randomised path developments as time evolution operators on a Hilbert space of qubits. This leads to a definition of a quantum path signature feature map and associated quantum signature kernel through a quantum circuit construction. In the case of the Gaussian matrix model, we study a random ensemble of Pauli strings and formulate a quantum algorithm to compute such kernel. |
| title | Quantum Path Signatures |
| topic | Quantum Physics Probability 81-08, 81-10, 60L10 |
| url | https://arxiv.org/abs/2508.05103 |