Quantifying imaginarity in terms of pure-state imaginarity
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915141927305216 |
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| author | Du, Shuanping Bai, Zhaofang |
| author_facet | Du, Shuanping Bai, Zhaofang |
| contents | Complex numbers are widely used in quantum physics and are indispensable components for describing quantum systems and their dynamical behavior. The resource theory of imaginarity has been built recently, enabling a systematic research of complex numbers in quantum information theory. In this work, we develop two theoretical methods for quantifying imaginarity, motivated by recent progress within resource theories of entanglement and coherence. We provide quantifiers of imaginarity by the convex roof construction and quantifiers of the imaginarity by the least imaginarity of the input pure states under real operations. We also apply these tools to study the state conversion problem in resource theory of imaginarity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12215 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantifying imaginarity in terms of pure-state imaginarity Du, Shuanping Bai, Zhaofang Quantum Physics Complex numbers are widely used in quantum physics and are indispensable components for describing quantum systems and their dynamical behavior. The resource theory of imaginarity has been built recently, enabling a systematic research of complex numbers in quantum information theory. In this work, we develop two theoretical methods for quantifying imaginarity, motivated by recent progress within resource theories of entanglement and coherence. We provide quantifiers of imaginarity by the convex roof construction and quantifiers of the imaginarity by the least imaginarity of the input pure states under real operations. We also apply these tools to study the state conversion problem in resource theory of imaginarity. |
| title | Quantifying imaginarity in terms of pure-state imaginarity |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.12215 |