Geometric-Like imaginarity: quantification and state conversion
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910672999153664 |
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| author | Guo, Meng-Li Li, Bo Fei, Shao-Ming |
| author_facet | Guo, Meng-Li Li, Bo Fei, Shao-Ming |
| contents | From the perspective of resource-theoretic approach, this study explores the quantification of imaginary in quantum physics. We propose a well defined measure of imaginarity, the geometric-like measure of imaginarity. Compared with the usual geometric imaginarity measure, this geometric-like measure of imaginarity exhibits smaller decay difference under quantum noisy channels and higher stability. As applications, we show that both the optimal probability of state transformations from a pure state to an arbitrary mixed state via real operations, and the maximal probability of stochastic-approximate state transformations from a pure state to an arbitrary mixed state via real operations with a given fidelity $f$, are given by the geometric-like measure of imaginarity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometric-Like imaginarity: quantification and state conversion Guo, Meng-Li Li, Bo Fei, Shao-Ming Quantum Physics From the perspective of resource-theoretic approach, this study explores the quantification of imaginary in quantum physics. We propose a well defined measure of imaginarity, the geometric-like measure of imaginarity. Compared with the usual geometric imaginarity measure, this geometric-like measure of imaginarity exhibits smaller decay difference under quantum noisy channels and higher stability. As applications, we show that both the optimal probability of state transformations from a pure state to an arbitrary mixed state via real operations, and the maximal probability of stochastic-approximate state transformations from a pure state to an arbitrary mixed state via real operations with a given fidelity $f$, are given by the geometric-like measure of imaginarity. |
| title | Geometric-Like imaginarity: quantification and state conversion |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.20879 |