Qutrit Operation Sharing

Quantum operation sharing (QOS) is recently proposed as a new kind of quantum remote control and has been forming a new branch of quantum information. This newly developing topic has attracted much attention recently. This article mainly divides into four parts, the first part introduces the development of quantum information, second briefly reviews the concept of QOS and detailedly introduces its history and present situation. Mainly shows the quantum operation sharing scheme. The second part mainly introduces the four basic concepts of quantum information. The third part mainly describes the research work made during the period of graduate student. During the last for the master’s work has carried on the simple summarization. The main content of this article is in the third part is as follows:Two three-party schemes applicable for sharing quantum operations on a remote qutrit are put forward by utilizing two configurations of partially entangled states as quantum channels. The schemes are treated and compared from the four aspects of quantum and classical resource consumption, necessary-operation complexity, success probability and efficiency. It is found that the second scheme is overall more optimal than the first one as far as a restricted set of operations is concerned. In addition, comparisons of both schemes with other four relevant ones are also made to show their two generalization features. Furthermore, some concrete discussions on both schemes are made to expose their important features of security, symmetry and experimental feasibility. Particularly, it is revealed that the success probabilities and intrinsic efficiencies in both schemes are completely determined by the shared entanglement.