Relating CP divisibility of dynamical maps with compatibility of channels
| Autor: | Mitra, Arindam, Saha, Debashis, Bhattacharya, Samyadeb, Majumdar, A. S. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 109, 062213 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.109.062213 |
| Popis: | 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. Comment: 12 pages, 7 figures, typos fixed |
| Databáze: | arXiv |
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