| Full text | |
| Author(s): |
Zambon, Guilherme
;
Soares-Pinto, Diogo O.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW A; v. 109, n. 6, p. 11-pg., 2024-06-03. |
| Abstract | |
In the dynamics of open quantum systems, information may propagate in time through either the system or the environment, giving rise to Markovian and non-Markovian temporal correlations, respectively. However, despite their notable coexistence in most physical situations, it is not yet clear how these two quantities may limit the existence of one another. Here, we address this issue by deriving several inequalities relating the temporal correlations of general multitime quantum processes. The dynamics are described by process tensors, and the correlations are quantified by the mutual information between subsystems of their Choi states. First, we prove a set of upper bounds to the non-Markovianity of a process given the degree of Markovianity in each of its steps. This immediately implies a nontrivial maximum value for the non-Markovianity of any process, independent of its Markovianity. Finally, we determine how the non-Markovianity limits the amount of total temporal correlations that could be present in a given process. These results show that, although any multitime process must pay a price in total correlations to have a given amount of non-Markovianity, this price vanishes exponentially with the number of steps of the process, while the maximum non-Markovianity grows only linearly. This implies that even a highly non-Markovian process might be arbitrarily close to having the maximum amount of total correlations if it has a sufficiently large number of steps. (AU) | |
| FAPESP's process: | 17/03727-0 - Quantumness of composite systems: geometry, dynamics and thermodynamics |
| Grantee: | Diogo de Oliveira Soares Pinto |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 22/00993-9 - Exploring non-Markovian quantum processes within the process tensor framework |
| Grantee: | Guilherme Clarck Zambon |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |