Quantifying the imaginarity of quantum states via Tsallis relative entropy
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913573897240576 |
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| author | Xu, Jianwei |
| author_facet | Xu, Jianwei |
| contents | It is a fundamental question that why quantum mechanics uses complex numbers instead of only real numbers. To address this topic, recently, a rigorous resource theory for the imaginarity of quantum states were established, and several imaginarity measures were proposed. In this work, we propose a new imaginarity measure based on the Tsallis relative entropy. This imaginarity measure has explicit expression, and also, it is computable for bosonic Gaussian states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12547 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantifying the imaginarity of quantum states via Tsallis relative entropy Xu, Jianwei Quantum Physics It is a fundamental question that why quantum mechanics uses complex numbers instead of only real numbers. To address this topic, recently, a rigorous resource theory for the imaginarity of quantum states were established, and several imaginarity measures were proposed. In this work, we propose a new imaginarity measure based on the Tsallis relative entropy. This imaginarity measure has explicit expression, and also, it is computable for bosonic Gaussian states. |
| title | Quantifying the imaginarity of quantum states via Tsallis relative entropy |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2311.12547 |