Research On Teleportation Protocols Of Multiple Qubits Based On Schmidt Decomposition

Quantum communication is a new developing discipline constituting with quantum mechanics and information science.The classical information is transmitted through the communication system via the properties of quantum state aimed at the improvement of security and reliability.The quantum teleportation system realizes a higher value on theoretical and practical than classical information theory,for which is transmitting auxiliary information assisted with classical channels,relying on quantum channels for the distribution and transmission of quantum states.Quantum network and quantum computing will implement further development promoted by quantum teleportation.The dominating research contents of this work is about: 1.The basic theory of quantum teleportation is mastered in depth.We verify the complete orthogonal property of computing bases in quantum Fourier transform assuring with its physical properties.With the Schmidt decomposition,the different relationships of Schmidt ranks divide quantum systems into two categories,which are equivalent relationship and inequivalent one respectively.2.Research on the equivalent relationship firstly,which is constituted with the Schmidt rank of quantum system and the Schmidt rank of quantum state to be transmitted,the teleportation protocol of four qubits GHZ state transmitted with five qubits Brown state as the quantum channel is proposed.We find a linear transform to explore the corresponding relationship between projective measurement bases and unitary operation for a quantum system.The linear transform provides an universality for specific quantum teleportation protocols.Furthermore,with the promotion of n-dimensional qubits GHZ state,the accuracy of linear transform based on the equivalent relationship of Schmidt rank can be generally verified.3.Research on the inequivalent relationship for a next one,the teleportation protocol of three qubits W state transmitted with five qubits Brown state as the quantum channel is proposed,which is comprising with the Schmidt rank of quantum system and the Schmidt rank of quantum state to be transmitted.The quantum Fourier transform is explored for corresponding relationship between projective measurement bases and unitary operation for a quantum system.Compared with the existing computing methods of system transforms,quantum Fourier transform can be appropriate for more complex structure of particles,which will be simplified as well.In addition,with the promotion of n-dimensional qubits W state,the accuracy of quantum Fourier transform based on the inequivalent relationship of Schmidt rank can likewise be generally verified.