Controlled Quantum Remote Control by Using Maximal Slice States as Channel

doi:10.3778/j.issn.1673-9418.2004019

Abstract

Abstract:

Using the three-qubit maximal slice state as the quantum channel, two protocols for the controlled remote implementation of single-qubit unitary operations are proposed. Firstly, the controlled teleportation scheme for an arbitrary single-qubit unitary operation by using bidirectional quantum state teleportation (BQST) is given. The result shows that the sender can remotely execute an arbitrary single-qubit unitary operation on the quantum system of the remote receiver via non-maximally entangled channel. If the sender and the controller perform appropriate projective measurements on their respective qubits, the success probability for controlled remote implementation of quantum operation can reach 1. Secondly, a controlled remote control protocol for some partially unknown operations without using BQST method is proposed. This protocol reduces the quantum entanglement and classical communication cost because some unknown operations are from two restriction sets. In these schemes, if and only if the controller is willing to help the receiver operate remotely, the controlled remote execution of quantum operations can be completed.

Key words: quantum communication, controlled remote implementation, arbitrary single-qubit operation, partially unknown unitary operation, non-maximally entangled state

摘要：

利用三量子最大slice态作为量子信道，提出了单量子酉算子的受控远程执行的两个协议。首先，利用双向量子隐形传态（BQST），给出了一个任意单量子酉算子的受控隐形传输方案。结果表明，通过非最大纠缠信道，发送者能够在遥远的接受者的量子系统上远程地执行一个任意单量子酉算子。如果发送者和控制者对各自量子执行恰当的投影测量，那么量子算子的受控远程执行的成功概率就能达到1。其次，提出了一种不使用BQST方法的部分未知算子的受控远程控制协议。此协议因部分未知算子取自于两个限制集，减少了量子纠缠和经典通信耗费。在这些方案中，当且仅当控制者愿意帮助接受者远程操作，量子算子的受控远程执行才能完成。

关键词: 量子通信, 受控远程执行, 任意单量子算子, 部分未知酉算子, 非最大纠缠态

PENG Jiayin. Controlled Quantum Remote Control by Using Maximal Slice States as Channel[J]. Journal of Frontiers of Computer Science and Technology, 2021, 15(3): 577-582.

彭家寅. 以最大slice态为信道的受控量子远程控制[J]. 计算机科学与探索, 2021, 15(3): 577-582.

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