Berlin 2024 – scientific programme
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QI: Fachverband Quanteninformation
QI 12: Poster I
QI 12.15: Poster
Tuesday, March 19, 2024, 11:00–14:30, Poster B
Relating CP divisibility of dynamical maps with compatibility of channels — •Arindam Mitra1,2,3, Debashis Saha4, Samyadeb Bhattacharya5, and Archan S. Majumdar6 — 1The Institute of Mathematical Sciences, Chennai, India. — 2Homi Bhabha National Institute, Mumbai, India. — 3Indian Institute of Technology Bombay, Mumbai, India. — 4Indian Institute of Science Education and Research Thiruvananthapuram, Kerala, India — 5International Institute of Information Technology-Hyderabad, Gachibowli, Hyderabad, India. — 6S. N. Bose National Centre for Basic Sciences, Kolkata, India
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. Ref.- arXiv:2309.10806 [quant-ph]
Keywords: Quantum foundations; Open quantum systems; Incompatibility of quantum channels; CP-divisibility of dynamical maps