正则变量的量子隐形传态

Quantum teleportation of canonical variables

利用位置和动量、相位和粒子数这两对正则共轭可观察量,研究了两种不同类型的量子隐形传态方案,把连续变量和分离变量的量子隐形传态统一到正则量子隐形传态的框架中。正则共轭可观察量在量子隐形传态中扮演了三重角色:首先,两个对易的正则可观察量,如相位差和粒子数和的共同本征态提供了一个两系统间的量子通道;其次,对另外两系统的一对正则可观察量进行了Bell基测量;最后,由单个系统的正则共轭观察量构成了两个局域的么正变换以恢复这个未知的量子态。

Two different teleportation protocols are investigated by using two pairs of canonically conjugated observables such as position-momentum and phase-number. The discrete variable and continuous variable quantum teleportation are unified in the framework of canonical quantum teleportation. Canonically conjugated observables are found to play a 3-fold role in the quantum teleportation. Firstly, the common eigenstate of two commuting canonical observables like phase-difference and number-sum provides the quantum channel between two systems. Secondly, a similar pair of canonical observables from another two systems is measured in the Bell operator measurements. Finally, two translations generated by the canonically conjugated observables of a single system constitute the local unitary operation to recover the unknown state.