Research On The Property Extensions Of GHZ State And Its Typical Applications

This paper mainly studies the quantum entangled resource GHZ states,analyzes the GHZ initial state and measurement state,and summarizes the general expression.GHZ-like state combined with quantum fully homomorphic encryption technology and GHZ state combined with quantum key agreement technology were applied.This paper includes the following four aspects:1.According to qubit and EPR states,a single group of three-particle GHZ states is constructed,and a general expression of a single group of three-particle GHZ states is derived.The two groups,three groups,and four groups of three-particle GHZ states exchanged one particle and two particles,and further summarized the expressions satisfied after multiple groups of three-particle GHZ states exchanged particles.2.The four-particle GHZ state measurement truth value is derived,and the four-particle GHZ state general expression is derived.Several groups of four-particle GHZ states exchange particles were analyzed,and the expressions satisfied after multiple groups of four-particle GHZ state exchange particles were summarized to achieve two-party and three-party efficient quantum key agreement.3.Combined with the three-particle GHZ-like state,it realizes the secure distribution of encryption keys between doctor and patient.The scheme uses quantum one-time pad encryption at a time to enhance ciphertext security,uses different quantum logic gates to construct a general quantum circuit to achieve arbitrary quantum transformation,and evaluates the algorithm in quantum homomorphic encryption technology to operate on encrypted data without revealing any original data information.4.A novel three-party mutual authentication quantum key agreement protocol based on three-particle GHZ states is proposed.In this scheme,participants do not need to share any information in advance,construct a new encoding method corresponding to the private key and Pauli operation,realize participant interactive authentication,and realize quantum key agreement in an unreliable communication environment.Finally,the theoretical research and specific application of quantum entangled state are considered and summarized.In the future,research on quantum entanglement theory will become more and more abundant,and quantum entanglement states will also be deeply integrated and developed together with more and more quantum security protocols,and have broad application prospects.