量子行走中硬币与行走者纠缠关联的研究  

Research on entanglement between coin and walker in quantum walk

作　　者：张融[1] 凌凯 ZHANG Rong;LING Kai(School of Optoelectronic Engineering,Nanjing University of Posts and Telecommunications,Nanjing 210000,China)

机构地区：[1]南京邮电大学光电工程学院,江苏南京210000

出　　处：《量子电子学报》2022年第3期446-451,共6页Chinese Journal of Quantum Electronics

基　　金：国家自然科学青年科学基金,11705096。

摘　　要：量子纠缠态是量子计算与量子通信的重要资源。量子行走中的条件行走操作是非局域算符,导致行走者和硬币之间产生纠缠关联。对于演化操作随时间不变的有序量子行走模型,纠缠关联与系统演化操作、初态以及演化时间都有关。分别计算了这些因素对纠缠熵的影响。计算结果表明当选择合适的演化操作和初态时,经过较少步数就能得到最大纠缠态。所提出理论方案通过在空间不同位置添加相位因子,为实验制备高维纠缠态调控提供了更加易于实现的方法。Quantum entangled state is an important resource for quantum computation and quantum communication.The conditional shift operation in quantum walk is a non-local operator,which can lead to entanglement between walker and coin.For the ordered quantum walk where evolution operation is constant with time,the entanglement depends on the evolution operation,initial state and evolution time of the system.The effects of these factors on the entanglement entropy are calculated respectively in this work.The calculation results show that when the appropriate evolution operation and initial state are selected,the maximal entangled state can be obtained after a few steps.By adding phase factors at different positions in space,the proposed method provides an efficient production of entanglement which can be realized in simpler setup.

关 键 词：量子光学 量子行走 相干叠加态 纠缠态 

分 类 号：O431.2[机械工程—光学工程]