Quantum signal processing and nonlinear Fourier analysis
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929370595065856 |
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| author | Alexis, Michel Mnatsakanyan, Gevorg Thiele, Christoph |
| author_facet | Alexis, Michel Mnatsakanyan, Gevorg Thiele, Christoph |
| contents | Elucidating a connection with nonlinear Fourier analysis, we extend a well known algorithm in quantum signal processing to represent measurable signals by square summable sequences. Each coefficient of the sequence is Lipschitz continuous as a function of the signal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12683 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum signal processing and nonlinear Fourier analysis Alexis, Michel Mnatsakanyan, Gevorg Thiele, Christoph Quantum Physics Classical Analysis and ODEs 42, 30 Elucidating a connection with nonlinear Fourier analysis, we extend a well known algorithm in quantum signal processing to represent measurable signals by square summable sequences. Each coefficient of the sequence is Lipschitz continuous as a function of the signal. |
| title | Quantum signal processing and nonlinear Fourier analysis |
| topic | Quantum Physics Classical Analysis and ODEs 42, 30 |
| url | https://arxiv.org/abs/2310.12683 |