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QI: Fachverband Quanteninformation

QI 26: Quantum Communication I: Theory

QI 26.6: Talk

Thursday, March 13, 2025, 12:30–12:45, HS IX

Security of Super Dense Coding under Pauli Noise — •Ghislaine Coulter-de Wit, Hermann Kampermann, and Dagmar Bruß — Institute for Theoretical Physics III, Heinrich Heine University Düsseldorf, D-40225 Düsseldorf, Germany

Super dense coding is a form of quantum communication utilizing shared entanglement such that - in the simplest formulation - Bob receives a message 2 bits long from one qubit sent by Alice.

The real world contains noise and untrustworthy parties (eavesdroppers). Building off the work of Zarah Shadman et al. [New Journal of Physics 12, 073042 (2010)] on noisy super dense coding, we are interested in the security of the transmitted classical data. As such, we focus on the amount of information that a disreputable party could determine. To do this, we consider Pauli noise for different scenarios of the entanglement distribution. We compare and contrast the super dense coding capacity for the given scenarios through the Holevo quantity and explore bounds on the information which an eavesdropper can obtain.

Keywords: Super Dense Coding; Security; Direct Quantum Communication; Holevo bound; Mutual Information

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