The Construction Of Quantum Network And Its Potential Application In Classical Decision Making

As a pivotal medium to transmit quantum information and construct quantum correlations between quantum systems,quantum networks meet the demands of quantum systems extension and play an important role in the application of quantum technology.This dissertation concentrates on typical issues in constructing quantum networks and extending their utilization,including the modeling and analysis of decoherence dynamics,the storage and transmission of quantum states,the depression of quantum decoherence,remote games based on quantum netweorks,and the quantization of classical games.The main contents are as follows:(1)We investigate the evolution of a typical two-qubits open quantum system.Firstly,we develop the decoherence dynamic model of two interacting qubits coupling with a non-Markovian vacuum field,and simplify this model through Markovian approximation and n-th order approximation method.Then the state dynamic equation is analytically derived for the extended Werner-like(EWL)state system coupled with the Lorentzian field environment.Finally,a discussion of the entanglement evolution and the influence of internal interaction is conducted based on the measure of concurrence.(2)A novel quantum memory scheme is proposed in order to improve the efficiency of quantum data buses.The scheme is based on the hybrid quantum system of superconducting circuits coupling with nitrogen-vacancy center ensemble.Firstly we introduce this system,analyze its evolution and present the control sequence for state storage.Subsequently,the robustness of the system is discussed with respect to frequency detuning caused by magnetic noises.At last,we compare the hybrid memory scheme with the previous scheme,and show the improvement of the hybrid scheme in transmission time and state fidelity.(3)The depression of phase damping decoherence is studied when perfect projective measurements are unavailable.Inspired by the idea of soft optimization,we propose a “relaxed” control goal,and solve this decoherence depression problem by combining simple open-loop control with periodic imperfect projective measurements.The necessary conditions and the sufficient conditions for the existence of solutions are further established and discussed.(4)Schemes for remote quantum games are proposed based on quantum networks.We first study the realization of two-player quantum games.The client-server(C-S)scheme and the peer-to-peer(P2P)scheme are devised based on states transmission and remote quantum operations,respectively.In addition,we extend the issue to multi-player games.By combing the C-S scheme with the P2 P scheme,a server-assisted remote game model is further developed for the multi-player case.(5)We present a two-stage framework of quantum games by summarizing typical quantization schemes.The new framework can help players take full advantage of quantum strategies.As an example,the quantum prisoners' dilemma(PD)is generalized according to our two-stage quantum game framework.From the viewpoint of Bayesian games,we discuss the influence of players' deviation action and analyze the positiveness of quantum information in strategy making.At last,we summary our work in this dissertation and suggest possible investigations for future research.