Nonlinear-ancilla aided quantum algorithm for nonlinear Schrödinger equations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916160278102016 |
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| author | Großardt, André |
| author_facet | Großardt, André |
| contents | We present an algorithm that uses a single ancilla qubit that can evolve nonlinearly, and show how to use it to efficiently solve generic nonlinear Schrödinger equations, including nonlocal Hartree equations and the Navier-Stokes equation for an irrotational, non-viscous flow. We propose a realization of such nonlinear qubits via spin-spin coupling of neutral atom qubits to a Bose-Einstein condensate. The results suggest that the use of nonlinear ancillas can provide substantial speedups compared to exclusively linear qubit devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10102 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear-ancilla aided quantum algorithm for nonlinear Schrödinger equations Großardt, André Quantum Physics We present an algorithm that uses a single ancilla qubit that can evolve nonlinearly, and show how to use it to efficiently solve generic nonlinear Schrödinger equations, including nonlocal Hartree equations and the Navier-Stokes equation for an irrotational, non-viscous flow. We propose a realization of such nonlinear qubits via spin-spin coupling of neutral atom qubits to a Bose-Einstein condensate. The results suggest that the use of nonlinear ancillas can provide substantial speedups compared to exclusively linear qubit devices. |
| title | Nonlinear-ancilla aided quantum algorithm for nonlinear Schrödinger equations |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.10102 |