基于(2m+1)粒子纠缠态的任意m粒子态量子可控离物传态(英文)

提出了一个基于高维2m+1粒子纠缠态的任意m粒子态量子可控离物传态方案,发送方Alice对需传送的未知态量子系统和手中的纠缠粒子执行m个广义Bell基测量,控制方执行广义X基测量,依据预先共享量子纠缠态非定域相关性,接收方对手中的粒子执行相应的幺正操作就可以重建原来未知量子态.与其他方案相比,方案减少了任意高维多粒子态可控离物传送所需传送粒子数.我们进一步讨论了基于纯纠缠信道的概率量子可控离物传态方案,通过与发送方和控制方合作,接收方只需对手中的纠缠粒子和引入的附加粒子执行联合幺正演化和投影测量,就可以在他的粒子上概率的重建原来的未知量子态,最后,方案计算讨论了基于纯纠缠态量子可控离物传态成功概率与信道纠缠度之间的关系.

Quantum Controlled Teleportation of an Arbitrary m-particle State Using a (2m+1)-particle Entangled State as Quantum Channel

A general scheme for controlled teleportation of an arbitrary m-qubit (high-dimensional quantum system) state with a d-dimensional (2m+1)-particle entangled state is presented. The arbitrary m-qubit state can be teleported if the sender (Alice) performs m generalized Bell state measurements on his particles and the controller (Bob) performs single particle generalized X-basis measurement on his particle. The original m-qubit state can be reconstructed on the receiver′s particles if the receiver (Charlie) performs corresponding unitary operations on his particles according to the measurement results of the sender and the controller. The scheme has the advantage of transmitting much less particles for controlled teleportation of an unknown m-qubit state than others. Moreover, the application of the scheme by using a nonmaximally entangled state as its quantum channel is discussed. The original m-qubit state can be probabilistically reconstructed on the receiver′s particles if the receiver introduces an auxiliary qubit and performs the general unitary transformation on his entangled particles and the auxiliary qubit. The relationship between the success probability that the receiver obtains the originally m-qubit state and the coefficients of the pure entangled quantum channel is also discussed.