Treatment of non-Markovian effects to investigate non-locality, dense coding and non-local information. (English) Zbl 07823483
Summary: In this contribution, we explore the time-evolution of Bell non-locality, dense coding capacity, local and non-local information with an exact solution in a two-qubit system, for the case in which the second qubit is coupled to a Markovian reservoir. Our results reveal a significant relationship between dense coding capacity and the behavior of Bell non-locality. In particular, we observe that optimal dense coding occurs when the violation of Bell non-locality is at its maximum. Furthermore, we study the dynamics of both local and non-local information, considering different initial states, including maximally/partially entangled states. However, our outcomes indicate that all quantities are sensitive to temperature variations, where a temperature threshold is obtained. Beyond this threshold, all proposed quantities exhibit unstable behavior. Specifically, Bell non-locality and dense coding capacity stabilize eventually to steady values below their classical limits. Moreover, the non-Markovian behavior is more prominent when using partially entangled states compared to those used maximally.
MSC:
| 81P16 | Quantum state spaces, operational and probabilistic concepts |
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
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