Abstract:

The purpose of this paper is to discuss the controlled teleportation of unknown single-particle states by using high-dimensional entangled states as quantum channels. A controlled teleportation protocol for two-dimensional arbitrary single-particle state is proposed by using three-dimensional entangled state as channel. A teleportation protocol of a [t]-dimensional arbitrary single-particle state is presented by using an arbitrary [d]-dimensional entangled state [(t<d)] as the quantum channel, which is a direct generalization of the previous protocol. The main strategy of these protocols is teleportation of an unknown single-particle state, which consists of asymmetric basic measurement, generalized projective measurement and corresponding local transformation.

Key words: quantum communication, controlled teleportation, high-dimensional entangled state, asymmetric basis measurement, generalized projective measurement

摘要：

目的是利用高维量子纠缠态为量子信道，讨论未知单粒子态的受控隐形传输问题。以三维量子纠缠态为信道，提出一个二维任意单粒子态的受控隐形传输协议。提出了以任意[d]-维量子纠缠态为量子信道，[t]-维任意单粒子态的隐形传输协议[(t<d)]，它是前一个协议的直接推广。这些协议的主要策略是传送未知的单粒子态，包括非对称基测量、广义投影测量和相应的局部变换。

关键词: 量子通信, 受控隐形传态, 高维纠缠态, 非对称基测量, 广义投影测量