Quantum state exclusion for group-generated ensembles of pure states

• URL: http://arxiv.org/abs/2503.02568v1
• Date: Tue, 04 Mar 2025 12:47:02 GMT
• Title: Quantum state exclusion for group-generated ensembles of pure states
• Authors: Arnau Diebra, Santiago Llorens, Emili Bagan, Gael Sentís, Ramon Muñoz-Tapia,
• Abstract summary: We provide a complete solution to optimal quantum state exclusion for arbitrary sets of pure states generated by finite groups.<n>When perfect exclusion is impossible, we introduce two natural extensions: minimum-error and unambiguous exclusion.<n>For both, we derive the optimal protocols and present analytical expressions for the corresponding failure probabilities and measurements.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum state exclusion is the task of determining which states from a given set a system was not prepared in. We provide a complete solution to optimal quantum state exclusion for arbitrary sets of pure states generated by finite groups, establishing necessary and sufficient conditions for perfect (zero-error conclusive) exclusion. When perfect exclusion is impossible, we introduce two natural extensions: minimum-error and unambiguous exclusion. For both, we derive the optimal protocols and present analytical expressions for the corresponding failure probabilities and measurements, offering a new perspective on how quantum states encode information.

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