A general statistical approach to quantum algorithms in a circuit model based on the expectation and standard deviation of each gate separately
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909351198851072 |
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| author | Shushi, Tomer |
| author_facet | Shushi, Tomer |
| contents | Recently, there has been a growing literature exploring the generalization of quantum algorithms, such that different quantum algorithms are special examples of a more fundamental structure. In this short paper, we provide a general approach to describe quantum algorithms as a quantum state with amplitudes that are constructed from the expected value and standard deviation of each quantum gate or a sub-sequence of gates in the algorithm. The proposed statistical-based description relies on the celebrated Aharonov-Vaidman identity. We present a more fundamental identity that, unlike the previous one, allows us to switch the basis of the states into a desired form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A general statistical approach to quantum algorithms in a circuit model based on the expectation and standard deviation of each gate separately Shushi, Tomer Quantum Physics Computational Physics Data Analysis, Statistics and Probability Recently, there has been a growing literature exploring the generalization of quantum algorithms, such that different quantum algorithms are special examples of a more fundamental structure. In this short paper, we provide a general approach to describe quantum algorithms as a quantum state with amplitudes that are constructed from the expected value and standard deviation of each quantum gate or a sub-sequence of gates in the algorithm. The proposed statistical-based description relies on the celebrated Aharonov-Vaidman identity. We present a more fundamental identity that, unlike the previous one, allows us to switch the basis of the states into a desired form. |
| title | A general statistical approach to quantum algorithms in a circuit model based on the expectation and standard deviation of each gate separately |
| topic | Quantum Physics Computational Physics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2410.11918 |