Relating CP divisibility of dynamical maps with compatibility of channels
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866911914730192896 |
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| author | Mitra, Arindam Saha, Debashis Bhattacharya, Samyadeb Majumdar, A. S. |
| author_facet | Mitra, Arindam Saha, Debashis Bhattacharya, Samyadeb Majumdar, A. S. |
| contents | The role of CP-indivisibility and incompatibility as valuable resources for various information-theoretic tasks is widely acknowledged. This study delves into the intricate relationship between CP-divisibility and channel compatibility. Our investigation focuses on the behaviour of incompatibility robustness of quantum channels for a pair of generic dynamical maps. We show that the incompatibility robustness of channels is monotonically non-increasing for a pair of generic CP-divisible dynamical maps. Further, our explicit study of the behaviour of incompatibility robustness with time for some specific dynamical maps reveals non-monotonic behaviour in the CP-indivisible regime. Additionally, we propose a measure of CP-indivisibility based on the incompatibility robustness of quantum channels. Our investigation provides valuable insights into the nature of quantum dynamical maps and their relevance in information-theoretic applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_10806 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relating CP divisibility of dynamical maps with compatibility of channels Mitra, Arindam Saha, Debashis Bhattacharya, Samyadeb Majumdar, A. S. Quantum Physics The role of CP-indivisibility and incompatibility as valuable resources for various information-theoretic tasks is widely acknowledged. This study delves into the intricate relationship between CP-divisibility and channel compatibility. Our investigation focuses on the behaviour of incompatibility robustness of quantum channels for a pair of generic dynamical maps. We show that the incompatibility robustness of channels is monotonically non-increasing for a pair of generic CP-divisible dynamical maps. Further, our explicit study of the behaviour of incompatibility robustness with time for some specific dynamical maps reveals non-monotonic behaviour in the CP-indivisible regime. Additionally, we propose a measure of CP-indivisibility based on the incompatibility robustness of quantum channels. Our investigation provides valuable insights into the nature of quantum dynamical maps and their relevance in information-theoretic applications. |
| title | Relating CP divisibility of dynamical maps with compatibility of channels |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2309.10806 |