Enhancement of the Quantum Parameter Estimation in Yang-Baxter Systems


Since Yang-Baxter systems are easy to prepare and manipulate in quantum information experiments they are of increasing interest in the estimation of physical parameters. We investigate the dynamics of quantum Fisher information for the optimal estimation of parameters using two-qubit pure and different mixed states under action of the Yang-Baxter matrices. Although quantum Fisher information is monotonically decreasing under the action of a quantum channel, we have shown that mitigation of these decreases providing relative enhancements in quantum Fisher information is possible by means of Yang-Baxter matrices which model uniter quantum channels or noises.

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  1. 1.

    Another unitary solutions to the YBE as quantum gates comes from using extra physical parameters (rapidity parameter) that are related to statistical physics. The solutions to the YBE with the rapidity parameter allow many new unitary solutions [39].


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This work was supported in part by the Scientific and Technological Research Council of Turkey (TUBITAK).

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Correspondence to Durgun Duran.

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Duran, D. Enhancement of the Quantum Parameter Estimation in Yang-Baxter Systems. Int J Theor Phys 59, 2091–2100 (2020). https://doi.org/10.1007/s10773-020-04481-6

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  • Quantum Fisher information
  • Yang-Baxter equation
  • Quantum parameter estimation