| Quantum communication is a current research hotspot in the field of secure communication.Its security is based on the basic principles of quantum mechanics,which makes it have advantages that classical communication does not have,and its application in national security,financial information and other security fields has significant value.Quantum entanglement is an important resource in quantum communication,and distributing entanglement over long distances between communicating parties can be a prerequisite for various applications.As an important branch of quantum communication,the main idea of quantum secret sharing is that the secret distributor splits the secret into several sub-codes and distributes them to several participants with the help of quantum states as carriers,and only participants work together to recover the secret.Although quantum secret sharing is theoretically unconditionally secure,the imperfection of measurement devices in actual quantum secret sharing systems makes the systems vulnerable to eavesdropper attacks.At the same time,the communication system has a low rate of security key generation.In order to solve the above problems,this paper proposes a quantum secret sharing scheme based on single photon and hyper-entanglement assistance,and the main work is as follows.The first work in this paper presents a single-photon multi-degree-of-freedom-based measurement-device-independent quantum secret sharing(MDI-QSS)scheme.We use the polarization and spatial mode degrees of freedom of photons to randomly select and prepare quantum states from two preparation bases.And the three parties send the prepared single photons to a fourth-party measurement device.In addition,in this paper,we use nonlinear optics of super entangled Greenberger–Horne– Zeilinger(GHZ)state measurement to implement the scheme.The scheme in this paper has a higher secure key generation rate,improves the communication efficiency and extends the communication distance.The second work in this paper proposes a quantum secret sharing(QSS)scheme based on hyperentanglement assistance.We use momentum degree of freedom to assist the polarization degree of freedom and employ the current hyperentangled GHZ state measurement achievable under linear optical conditions to achieve secret sharing between three parties.This scheme significantly increases the channel capacity and improves the feasibility of quantum communication. |
