Entanglement and Berry Phase in a Parameterized Three-Qubit System
Entanglement and Berry Phase in a Parameterized Three-Qubit System
复制标题
参数化三量子比特系统中的纠缠和浆果相
DOI：
10.1007/s10773-016-3206-5
复制
发表时间：
2017
影响因子：
1.4
通讯作者：
Xue Kang
中科院分区：
文献类型：
--
作者：
Shao Wenyi;Du Yangyang;Yang Qi;Wang Gangcheng;Sun Chunfang;Xue Kang
本文利用杨元化方法构造了酉矩阵的参数化形式。在三比特自然基上将该矩阵作为一个量子门，可以得到一组纠缠态，它们具有相同的纠缠值，依赖于参数λ1和λ2。特别地，这样的纠缠态可以产生一组关于π1=π 2=π/2的最大纠缠基Greenberger-Horne-Zeilinger（GHZ）态。选择一个有用的哈密顿量，可以研究本征态的演化和Berry相位的结果。我们不难发现，这个新的三量子比特系统的Berry相位与Bloch球上的立体角一致。
In this paper, we construct a parameterized form of unitarymatrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters𝜃1and𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to𝜃1=𝜃2=π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere.