基于团簇态和贝尔态的不对称双向远程制备

Asymmetric bidirectional remote state preparation via cluster state and Bell state

提出了一种利用1个团簇态和3个贝尔态纠缠在一起的特殊量子信道来进行不对称双向远程制备的理论方案。Alice和Bob既是远程量子信息的发送者,也是接收者。Alice帮助Bob远程制备任意一个三粒子的纠缠态,同时Bob也帮助Alice远程制备一个四粒子的团簇态。Alice和Bob分别利用与量子信道相匹配的正交测量基对量子位(1,3,5)位和(8,b)位投影测量;接收方收到对方的测量结果后,对每一种测量结果进行与测量基相对应的幺正变换操作,直接成功制备的概率为1/8。随后给出了提高成功制备概率的方法:选取特定的系数取值,之后重复上述操作,完成任意三粒子纠缠态和四粒子团簇态的不对称双向远程制备。经过计算和验证,对方案进行概率提升后,成功制备的概率可达100%,系统的信息传送效率为36.84%。

A theoretical scheme for asymmetric bidirectional remote preparation is proposed by using a special quantum channel with one cluster state and three Bell states entangled together.In this scheme,Alice and Bob are both senders and receivers of remote quantum information.Alice helps Bob to prepare a three-qubit entangled state remotely.Meanwhile,Bob also helps Alice to prepare a four-qubit cluster state remotely.Alice and Bob use the orthogonal measurement basis matched with the quantum channel to measure the projection of the qubits(1,3,5) and(8,b).After receiving the measurement result of the other party,the receiver carries out unitary transformation operation corresponding to the measurement basis for each measurement result,and the probability of direct and successful preparation is 1/8.Then,the method to improve the probability of successful preparation is given,in which a specific coefficient is selected firstly,then the above operation is repeated to complete the asymmetric bidirectional remote preparation of an arbitrary three-qubit entangled state and a four-qubit cluster state.After calculation and verification,the probability of successful preparation is up to 100%,and the information transmission efficiency of the system is 36.84%.