Enhancing performance and operational regimes of the quantum Otto refrigerator with heat bath algorithmic cooling

We propose two algorithmic quantum Otto refrigerators (AQOR) in which the standard isochoric cooling stroke is replaced by two distinct heat-bath algorithmic cooling (HBAC) protocols based on the partner-pairing algorithm (PPA). For each protocol, we derive closed-form expressions for the target qubit's asymptotic polarization and explicitly incorporate the work performed by HBAC into the coefficient of performance (COP). We further quantify the thermodynamic cost of the HBAC stroke and Landauer's bound for both protocols. Our analytical COP curves reveal parameter regimes where the AQOR surpasses the conventional Otto refrigerator. Furthermore, we show that, by tuning the auxiliary qubit's transition frequency and adjusting external control parameters, both protocols achieve enhanced COP and extend the operational window across a wider range of bath temperature differences. Therefore, the AQORs present a tradeoff between achieving high performance in specific regimes and maintaining enhanced applicability. These results demonstrate that algorithmic cooling can be seamlessly integrated into Otto cycles to realize quantum thermal machines with improved practicality on near-term hardware.