Entanglement and Berry Phase in a Parameterized Three-Qubit System
详细信息 查看全文
- 作者：Wenyi Shao ; Yangyang Du ; Qi Yang…
- 关键词：Quantum entanglement ; Berry phase ; GHZ state
- 刊名：International Journal of Theoretical Physics
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：56
- 期：3
- 页码：643-651
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics, general; Quantum Physics; Elementary Particles, Quantum Field Theory; Theoretical, Mathematical and Computational Physics;
- 出版者：Springer US
- ISSN：1572-9575
- 卷排序：56
文摘
In this paper, we construct a parameterized form of unitary \(\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )\) matrix 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 parameters 𝜃1 and 𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 𝜃1 = 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.