One-to-Many Simultaneous Secure Quantum Information Transmission

Abstract

This paper presents a new quantum protocol designed to simultaneously transmit information from one source to many recipients. The proposed protocol, which is based on the phenomenon of entanglement, is completely distributed and is provably information-theoretically secure. Numerous existing quantum protocols guarantee secure information communication between two parties but are not amenable to generalization in situations where the source must transmit information to two or more parties, so they must be applied sequentially two or more times in such a setting. The main novelty of the new protocol is its extensibility and generality to situations involving one party that must simultaneously communicate different, in general, messages to an arbitrary number of spatially distributed parties. This is achieved by the special way employed to encode the transmitted information in the entangled state of the system, one of the distinguishing features compared to previous protocols. This protocol can prove expedient whenever an information broker, say, Alice, must communicate distinct secret messages to her agents, all in different geographical locations, in one go. Due to its relative complexity, compared to similar cryptographic protocols, as it involves communication among $n$ parties, and relies on $GH{Z}_n$ tuples, we provide an extensive and detailed security analysis so as to prove that it is information-theoretically secure. Finally, in terms of its implementation, the prevalent characteristic of the proposed protocol is its uniformity and simplicity because it only requires CNOT and Hadamard gates, and the local quantum circuits are identical for all information recipients.

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