Quantum thermometry for the Hamiltonians constructed by quantum Yang-Baxter equation

Without a doubt, temperature control and measurement are crucial for every prospective application in various quantum-operating systems and platforms. The theory of quantum thermometry will have a significant influence on and shape the upcoming quantum technologies, together with the advancement of measurement procedures and new experimental techniques. At the intersection of quantum metrology, open quantum systems and quantum many-body physics, the theory of quantum thermometry is constructed under a unifying framework, despite the fact that current quantum thermometric methods vary greatly depending on the experimental platform, the achievable precision and the temperature range of interest. Finding the absolute limits and scaling rules that restrict the accuracy of temperature estimation for systems in and out of thermal equilibrium is at the core of theoretical quantum thermometry. Although quantum Fisher information is monotonically decreasing under the action of a quantum channel or noises, we address that the information losses under any quantum operation by offering relative improvements to minimize uncertainty for estimating of temperature for different output states obtained by Hamiltonians constructed with the quantum Yang-Baxter equation can be mitigated.