Under the actions of different Hamiltonians on the different two-qubit input states by using the quantum Yang-Baxterization approach, we investigate the behaviors of the fidelity and the trace distance as measures of ‘closeness’ and distinguishability of two quantum states. The results show that the fidelity that is the main figure of merit for any communication and computing process can be kept to high values depending on the choice of the initial states and the Hamiltonians constructed by the Yang-Baxter equation. On the other hand, by choosing the initial states and Yang-Baxter systems which are the various extensions of the Yang-Baxter equations for several matrices, these quantifiers can be adjusted as desired to achieve many quantum computing and computational tasks. Furthermore, to quantify the performance of quantum teleportation we examine the teleportation fidelity for the outputs that correspond to the different two-qubit X-type states under the actions of the different Hamiltonians. It is possible to obtain high fidelity to use the quantum teleportation process.

通过使用量子杨-巴克斯特化方法，在不同的哈密顿量对不同的两个量子比特输入态的作用下，我们研究了保真度和迹距的行为，作为两个量子态的“接近度”和可区分性的度量​​。结果表明，根据初始状态的选择和由杨-巴克斯特方程构造的哈密顿量，作为任何通信和计算过程的主要品质因数的保真度可以保持在较高的值。另一方面，通过选择初始状态和 Yang-Baxter 系统，它们是几个矩阵的 Yang-Baxter 方程的各种扩展，这些量词可以根据需要进行调整，以实现许多量子计算和计算任务。此外，为了量化量子隐形传态的性能，我们检查了在不同哈密顿量的作用下对应于不同双量子位 X 型态的输出的隐形传态保真度。使用量子隐形传态过程可以获得高保真度。