确定性地实现非局域高维量子Toffoli门的网络设计与优化  

Quantum networks for implementing locally and conclusively a nonlocal qudit Toffoli gate:Designing and optimizing

作　　者：陈立冰[1] 路洪[1] 

机构地区：[1]佛山科学技术学院光电子与物理学系,佛山528000

出　　处：《中国科学：物理学、力学、天文学》2016年第11期35-43,共9页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：广东省自然科学基金资助项目(编号:06029431)

摘　　要：本文提出确定性地实现非局域高维量子Toffoli门的操作方案.分别设计两个量子网络实现该非局域门.方案一是Eisert等人方案的高维推广.该方案的缺陷是需在靶端执行一个高维三体门.直接实现多体高维量子门,在目前的技术条件下仍存在一定的困难.在不改变网络功能的条件下,对方案一进行了优化.通过在靶端引入辅助的三维粒子(Qutrit),有效地降低了网络的复杂度.方案二的简单性及其对资源的有效利用等特点,使其在目前的实验条件下更具可行性和更加适用于大规模量子网络.Local implementation of a nonlocal d-dimensional quantum Toffoli gate is considered. We construct respectively two quantum networks for realizing this nonlocal quantum gate conclusively. The first one is based on Eisert＇s insight but follow a different pathway which results in a nonlocal d-dimensional Toffoli gate design. This scheme involves a local d-dimensional three-body interaction, which does not appear naturally in physical system. The other one can improve significantly the local implementation of this nonlocal gate if the target node harnesses a qutrit as a catalyser. In its simplest form this quantum network that does the improved scheme is built entirely of local single-body and two-body elementary gates, and with only 3 two-body elementary gates at the target node. The latter is simpler but conclusive, and more efficient but with less resource, which will make it more feasible with the current experimental technology and more suitable for large-scale quantum network.

关 键 词：d维量子态 非局域Toffoli门 量子网络 优化 

分 类 号：O413[理学—理论物理]