Research On Controlled Teleportation And Quantum Operation Sharing By Quantum Entanglement

Quantum information science is based on the principle of quantum mechanics,so the carrier for transmission of quantum information is no longer the carrier in classical communication,but the quantum bits or quantum states in the microscopic system.The computation and coding of quantum information also follow the basic principles of quantum mechanics.In the field of quantum information research,there are two small branches,namely quantum teleportation and quantum operation sharing.The research direction of this paper belongs to these two branches,specifically studying how to realize controlled teleportation and quantum operation sharing based on quantum entanglement.The main contents are as follows(1)We take the absolute maximal entanglement(AME)state of six particles in[W Helwig et al.,Phys.Rev.A 86,052335(2012)]as the channel to realize the deterministic bidirectional quantum controlled teleportation(BQCT),give the specific implementation steps of the scheme,and analyze the experimental feasibility of the scheme(2)We propose for the first time how to use the AME state to carry out circular communication among three parties,assuming that three nodes in the quantum network has two qubits each.Six qubits are in the maximally entangled state.Using different quantum entanglement structures,three deterministic schemes of BQCT are proposed.That is,with any node as the control party,the scheme of BQCT can be implemented in a deterministic way between the other two nodes.In addition,the capacity of the AME state transmission channel is revealed in the three entanglement structures.Finally,we also described the existing experimental operation,and analyzed the feasibility and safety of the scheme(3)We propose a scheme of quantum operation sharing(QOS)under symmetric particle distribution by using the genuinely six-qubit entangled state proposed by Chen et al in[Phys Rev.A 74,032324,2006]as a channel.In the specific steps,we analyzed how the quantum channel was formed after the local unitary operation,and also analyzed the prerequisite for the success of the scheme and the necessity of tripartite cooperation(4)We studied how to realize the scheme of QOS under asymmetric distribution of particles,the implementation steps are given as well as optimizes the step,make the whole plan more concise.In this section by using the principle of the quantum secret sharing,higher request in the cooperation degree,finally the safety and feasibility of the experiment is analyzed and discussed.