Resource-exploitation mechanism of entangled initial states

Investigate whether entangled initial states more effectively exploit local dissipative baths and thereby constitute a significant contributing factor to the observed Mpemba effect in multi-qubit reset dynamics.

Background

The paper compares the reset dynamics of entangled multi-qubit states in the full register state space with the reduced dynamics of individual qubits. Although entangling operations can make the global trajectory less geometrically optimal, the reduced single-qubit states can follow geodesic paths under local dissipative channels. This suggests that the relevant advantage may arise from how entangled states distribute coherences and excitations so as to exploit the available local baths, rather than from global geometric optimality alone.

The authors explicitly formulate this interpretation as a conjecture, leaving unresolved whether enhanced exploitation of local dissipative resources is indeed a significant causal mechanism underlying the observed Mpemba acceleration.