Quantum excess entropy and temporal entanglement

Determine the role of quantum excess entropy in the scaling behavior of temporal entanglement and its use for identifying quantum chaotic dynamics.

Background

Temporal entanglement is an existing measure whose characteristic scaling behavior has been observed to identify quantum chaotic dynamics. The paper notes a close relationship between temporal-entanglement scaling and temporal correlations, while proposing quantum excess entropy as another measure of temporal correlations in quantum processes.

The authors explicitly leave unresolved how quantum excess entropy contributes to or complements temporal-entanglement-based analyses of chaos and complexity.

References

Recent work shows a close relationship between the scaling of TE and temporal correlations, but the role of the quantum excess entropy remains to be explored.

— How much randomness in a quantum process can be explained using memory?  (2608.25878 - Chang et al., 26 Aug 2026) in Section 5, “Discussion”