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Analysis and Verification of Quantum Communication Protocols in UPPAAL

René Bødker Christensen, Nikolaj Rossander Kristensen, Kim Guldstrand Larsen, Marius Mikucionis, Jirí Srba, Loke Walsted

Abstract

Abstract We introduce a formal modeling methodology to analyze quantum communication protocols in the tool Uppaal . Our approach encodes quantum states, operations, and measurements into Uppaal timed automata with data extensions and external function calls, enabling both exhaustive verification in the ideal (noiseless) case and statistical model checking for realistic noisy scenarios. We apply our framework to the Beyond Superdense Coding protocol—a time-slotted variant of superdense coding—combined with quantum entanglement distillation, and demonstrate that Uppaal can deal with these protocols even under complex timing and decoherence constraints.

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