Comparison and Analysis of the Control Power Between Two Different Perfect Controlled Teleportation Schemes Using Four-particle Cluster State

• Published in: International journal of theoretical physics 2017-10, Vol.56 (10), p.3084-3091
• Main Authors: Jiang, Yu-ting, Mo, Zhi-wen
• Format: Article
• Language: English
• Subjects: Clusters; Elementary Particles; Mathematical analysis; Mathematical and Computational Physics; Physics; Physics and Astronomy; Quantum Field Theory; Quantum Physics; Teleportation; Theoretical
• ISSN: 0020-7748; 1572-9575
• DOI: 10.1007/s10773-017-3474-8

Control power is used to discuss about the controller’s measurable authority. It’s a new index to describe the controlled teleportation schemes from the point of view of the controller. In this paper, we introduce two perfect controlled teleportation schemes and calculate the control power under different control particles. In scheme 1, the controller just controls one particle, which is particle 2. And in scheme 2, the controller controls the particles 2 and 3. They both use the cluster state | ψ 〉 1234 = 1 2 ( | 0000 〉 + | 0011 〉 + | 1100 〉 − | 1111 〉 ) 1234 as communication channel. By calculating the control power between two schemes, the control power of scheme 1 is 1/3, which is the minimal value of control power. On the contrary, the control power of scheme 2 is maximal, 1/2. Scheme 2 which controls two particles successfully promotes the control power comparing with scheme 1. It’s evidently that controlling particle 2 is a necessary condition. And controlling particle 3 can gain the control power but the controller cannot control it solely.