Quantum simulation of wave optics in weakly inhomogeneous media using block-encoding
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910086346047488 |
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| author | Davani, Siavash Gärttner, Martin Eilenberger, Falk |
| author_facet | Davani, Siavash Gärttner, Martin Eilenberger, Falk |
| contents | We propose a quantum algorithm that simulates the propagation of a light field through a weakly inhomogeneous medium. The wave equation in the paraxial approximation in inhomogeneous material takes the form of the Schrödinger equation with a time-dependent Hamiltonian. This reduction is used to simulate wave optical dynamics on a quantum computer. Beam propagator operators for a short propagation distance are constructed using an efficient and flexible block-encoding that enables the simulation of various optical setups. The algorithm is showcased by simulating the propagation of a 1D Gaussian beam through a lens with a finite thickness, and the resulting spherical aberrations are demonstrated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11020 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum simulation of wave optics in weakly inhomogeneous media using block-encoding Davani, Siavash Gärttner, Martin Eilenberger, Falk Quantum Physics Applied Physics Computational Physics We propose a quantum algorithm that simulates the propagation of a light field through a weakly inhomogeneous medium. The wave equation in the paraxial approximation in inhomogeneous material takes the form of the Schrödinger equation with a time-dependent Hamiltonian. This reduction is used to simulate wave optical dynamics on a quantum computer. Beam propagator operators for a short propagation distance are constructed using an efficient and flexible block-encoding that enables the simulation of various optical setups. The algorithm is showcased by simulating the propagation of a 1D Gaussian beam through a lens with a finite thickness, and the resulting spherical aberrations are demonstrated. |
| title | Quantum simulation of wave optics in weakly inhomogeneous media using block-encoding |
| topic | Quantum Physics Applied Physics Computational Physics |
| url | https://arxiv.org/abs/2409.11020 |