Enhancement of the quantum parameter estimation in Yang-Baxter systems. (English) Zbl 1447.62005
Summary: 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 universal quantum channels or noises.
MSC:
| 62B10 | Statistical aspects of information-theoretic topics |
| 62F10 | Point estimation |
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 16T25 | Yang-Baxter equations |
| 94A17 | Measures of information, entropy |
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