Enhanced Heat-Bath Algorithmic Cooling

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The field of quantum information has inspired new methods for cooling physical systems at the quantum scale, such as heat-bath algorithmic cooling. These methods provide fundamental insights into quantum thermodynamics and bring important applications in quantum science and technologies. One of the most promising practical applications in quantum computing is for increasing quantum states' purity. Indeed, purification is required to prepare the initial states for most quantum algorithms and to provide a reliable supply of low-noise states that satisfy the fault-tolerance threshold for quantum error correction.
In this talk, I will first review the basic ideas of algorithmic cooling and give analytical results for the achievable cooling for the conventional heat-bath version. Then, I will show how the limitations can be circumvented by using correlations. In one algorithm, I take advantage of correlations that can be created during the thermalization step with the heat-bath, and in another, I use correlations present in the initial state induced by the internal interactions of the system. These two algorithms show how correlations can be used to improve cooling.