(1 December, 1998) | Mark Hillery1, Vladimír Bužek2, and André Berthiaume3
The paper discusses the application of GHZ states in quantum secret sharing, a method to split a message into multiple parts such that no subset of parts can reveal the original message, but all parts together can. The authors demonstrate how GHZ states can be used to implement this procedure, ensuring that the presence of an eavesdropper can be detected through introduced errors. They also show how GHZ states can be used to split quantum information into two parts, requiring both parts to be combined to reconstruct the original qubit. The paper explores the security of these protocols against eavesdropping and cheating, proving that if an eavesdropper entangles an ancilla with the GHZ state, it will inevitably introduce errors, detectable by the parties involved. Additionally, the authors extend the concept to more than two parties, specifically a four-party scenario, and demonstrate how to generate a shared key among all parties while maintaining security. The key takeaway is that multiparticle entangled states can effectively split and secure information, offering a novel approach to quantum information processing and security.The paper discusses the application of GHZ states in quantum secret sharing, a method to split a message into multiple parts such that no subset of parts can reveal the original message, but all parts together can. The authors demonstrate how GHZ states can be used to implement this procedure, ensuring that the presence of an eavesdropper can be detected through introduced errors. They also show how GHZ states can be used to split quantum information into two parts, requiring both parts to be combined to reconstruct the original qubit. The paper explores the security of these protocols against eavesdropping and cheating, proving that if an eavesdropper entangles an ancilla with the GHZ state, it will inevitably introduce errors, detectable by the parties involved. Additionally, the authors extend the concept to more than two parties, specifically a four-party scenario, and demonstrate how to generate a shared key among all parties while maintaining security. The key takeaway is that multiparticle entangled states can effectively split and secure information, offering a novel approach to quantum information processing and security.