Two-way Controllable Quantum Teleportation Based On The Six-particle State

With the constant attention paid by modern people to the security of personal information,quantum communication has gradually entered people's field of vision.Quantum communication is a new discipline that combines the basic principles of quantum mechanics with modern communication technologies.Quantum teleportation is an important part of quantum communication.Quantum teleportation can transmit the quantum state possessed by the sender to the receiver,thus realizing the transmission of quantum states.At the same time,the quantum teleportation follows the Heisenberg uncertainty and the unknown quantum state unclonable principle,so the quantum teleportation is absolutely safe and reliable.In reality,the quantum teleportation scheme realizes the transmission of quantum states by selecting different quantum states as quantum channels and selecting different measurement bases.The selection of different quantum states as channels and measurement bases have become the focus of quantum teleportation schemes,and suitable channels and measurement bases can effectively reduce quantum losses and improve the efficiency of quantum communication.In this paper,we propose to use the double three-particle GHZ state and the six-particle state as communication channels to realize symmetric bidirectional controllable quantum teleportation and asymmetric bidirectional controllable quantum teleportation.The first part mainly introduces the bidirectional controllable quantum teleportation scheme based on GHZ state,which includes one scheme of bidirectional controllable quantum teleportation with three parts participated and another scheme of bidirectional controllable quantum teleportation with four parts participated.The GHZ state is used as a quantum channel in both schemes,but the difference is in the number of controllers,and the difference of controller numbers will provide different guarantees for the security of the teleportation.In the teleportation,the sender measures the particles which she possesses by the appropriate measurement basis,and then informs the controller and the receiver of the measurement basis.If the controller wishes to continue the quantum teleportation,he will continue to measure the particles which he possesses under a suitable measurement basis and the results of the measurements are communicated to the receiver.The receiver will perform the corresponding positive operation on the particles owned by himself according to the information provided by the sender and the controller to restore the quantum state to be sent by the sender,thereby realizing the controllable quantum teleportation.The scheme implements symmetric quantum bidirectional controllable teleportation,that is,in th is scheme,the number of particles transmitted by the sender and the receiver is the same.However,in reality communication,information transmission is not necessarily equivalent,and an asymmetric bidirectional controllable teleportation is needed.The second part mainly explains the asymmetric bidirectional controllable quantum teleportation based on the six-particle entangled state.Compared with the symmetric bidirectional quantum teleportation,the asymmetric bidirectional quantum teleportation can provide more choices in quantum information transmission.At the same time,the sender and the receiver can have more possibilities in the form of transmitting information.In this scheme,the sender Alice will transmit the quantum state of a two-particle to the receiver Bob,and Bob will transmit the quantum state of a single particle to Alice.This transmission scheme can make better use of quantum resources to achieve a focused information transmission.In the case of a limited number of particles,asymmetric bidirectional quantum teleportation can achieve information transmission more effectively.