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理论物理通讯：英文版

A Scheme of Controlled Quantum State Swapping

查新未, 邹志纯, 祁建霞, 宋海洋

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

A scheme for controlled quantum state swapping is presented using maximally entangled five-qubit state,i.e.,Alice wants to transmit an entangled state of particle a to Bob and at the same time Bob wants to transmit an entangled state of particle b to Alice via the control of the supervisor Charlie.The operations used in this swapping process including C-not operation and a series of single-qubit measurements performed by Alice,Bob,and Charlie.

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A scheme for controlled quantum state swapping is presented using maximally entangled five-qubit state,i.e.,Alice wants to transmit an entangled state of particle a to Bob and at the same time Bob wants to transmit an entangled state of particle b to Alice via the control of the supervisor Charlie.The operations used in this swapping process including C-not operation and a series of single-qubit measurements performed by Alice,Bob,and Charlie.
A bidirectional quantum controlled teleportation scheme using the entanglement property of six-qubit maximally entangled state was presented.In the theoretical scheme,the sixqubit maximally entangled state was employed as the quantum channel linking three legitimate participants.Users were both sender and receiver.Alice transmitted an arbitrary single qubit state of qubit ato Bob and Bob transmitted an arbitrary single qubit state of qubit bto Alice via the control of the supervisor Charlie.Users carried out the Bell state measurements on their own particles and publicly announced their measurement results via a classical channel.Then they operated proper unitary transformation on their own particles,respectively.The bidirectional quantum controlled teleportation was successfully realized.
Quantum controlled teleportation is the transmission of the quantum state under the supervision of a third party. This paper presents the theoretical and experimental results of an arbitrary two-qubit quantum controlled teleportation scheme, in which the sender Alice only needs to perform two Bell state measurements and the receiver Bob can perform an appropriate unitary operation to reconstruct the arbitrary two-qubit states under the control of the supervisor Charlie. The operation process of the scheme is verified on the IBM quantum experience platform, and the accuracy of the transmitted quantum state is further checked by performing quantum state tomography. Meanwhile, a good fidelity is obtained by using the theoretical density matrix and the experimental density matrix. A sequence of photonic states is introduced to analyze the possible intercept–replace–resend, intercept–measure–resend, and entanglement–measure–resend attacks on this scheme. The results proved that our scheme is highly secure.
The conventional approaches to controll quantum teleportation were based on maximally entangled quantum states.However,most of quantum states in reality were non-maximal entangled states due to environmental coupling in the preparation and transmission.A new method to controll quantum teleportation was presented by non-maximally entangled quantum channel.In the proposed approach,a non-maximally entangled 5-particle state was utilized as the quantum channel,one of the particles was selected as the controlling particle.The sender Alice makes Bell states measurement once and Hadamard measurements twice,and the controller Charlie performes an Hadamard measurement,so the receiver could get the quantum state which Alice wanted to send by performing appropriate unitary transformations determined by the sender and controller′s measurement results transmitted via classical channel.The scheme was a controlled quantum teleportation based on non-maximally entangled state with certain probabilisity and could be applied to remote quantum computation,quantum telecloning and quantum remote control.