Stochastic Collisional Quantum Thermometry

We extend collisional quantum thermometry schemes to allow for stochasticity in the waiting time between successive collisions. We establish that introducing randomness through a suitable waiting time distribution, the Weibull distribution, allows us to significantly extend the parameter range for which an advantage over the thermal Fisher information is attained. These results are explicitly demonstrated for dephasing interactions and also hold for partial swap interactions. Furthermore, we show that the optimal measurements can be performed locally, thus implying that genuine quantum correlations do not play a role in achieving this advantage. We explicitly confirm this by examining the correlation properties for the deterministic collisional model.

Automated summary

By introducing stochasticity in the waiting time distribution, such as the Weibull distribution, collisional quantum thermometry can significantly expand the parameter range. Optimal measurements can be performed locally without the need for genuine quantum correlations. This advantage holds true for both dephasing interactions and partial swap interactions.