Quantum approximated cloning-assisted density matrix exponentiation
Fuente:
arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866917968820043776 |
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| author | Rodriguez-Grasa, Pablo Ibarrondo, Ruben Gonzalez-Conde, Javier Ban, Yue Rebentrost, Patrick Sanz, Mikel |
| author_facet | Rodriguez-Grasa, Pablo Ibarrondo, Ruben Gonzalez-Conde, Javier Ban, Yue Rebentrost, Patrick Sanz, Mikel |
| contents | Classical information loading is an essential task for many processing quantum algorithms, constituting a cornerstone in the field of quantum machine learning. In particular, the embedding techniques based on Hamiltonian simulation techniques enable the loading of matrices into quantum computers. A representative example of these methods is the Lloyd-Mohseni-Rebentrost protocol, which efficiently implements matrix exponentiation when multiple copies of a quantum state are available. However, this is a quite ideal set up, and in a realistic scenario, the copies are limited and the non-cloning theorem prevents from producing more exact copies in order to increase the accuracy of the protocol. Here, we propose a method to circumvent this limitation by introducing imperfect quantum copies, which significantly improve the performance of the LMR when the eigenvectors are known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11751 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum approximated cloning-assisted density matrix exponentiation Rodriguez-Grasa, Pablo Ibarrondo, Ruben Gonzalez-Conde, Javier Ban, Yue Rebentrost, Patrick Sanz, Mikel Quantum Physics Classical information loading is an essential task for many processing quantum algorithms, constituting a cornerstone in the field of quantum machine learning. In particular, the embedding techniques based on Hamiltonian simulation techniques enable the loading of matrices into quantum computers. A representative example of these methods is the Lloyd-Mohseni-Rebentrost protocol, which efficiently implements matrix exponentiation when multiple copies of a quantum state are available. However, this is a quite ideal set up, and in a realistic scenario, the copies are limited and the non-cloning theorem prevents from producing more exact copies in order to increase the accuracy of the protocol. Here, we propose a method to circumvent this limitation by introducing imperfect quantum copies, which significantly improve the performance of the LMR when the eigenvectors are known. |
| title | Quantum approximated cloning-assisted density matrix exponentiation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2311.11751 |