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This research establishes a fundamental upper bound on predicting the parity of shared data when parties cannot communicate directly, refining our understanding of secure information handling in quantum scenarios. The findings quantify how local measurement capabilities constrain collective prediction accuracy, providing critical limits for protocols like unclonable encryption and quantum copy-protection systems. By moving beyond chance-based outcomes to a specific mathematical limit dependent on recovery probability, the work advances theoretical frameworks for secure distributed quantum technologies.
Researchers Bound Non-Local Parity Prediction Accuracy

Predicting a shared secret becomes marginally more reliable, even without direct communication between parties. This work establishes that success in guessing this hidden value is limited by a quantifiable bound, no greater than one half plus five times the twenty-second root of their ability to reconstruct the original data. It refines understanding of secure information handling where communication is prohibited.
Prabhanjan Ananth London & Kavli Institute. Definitive limits on predicting shared data without communication have now been established; Barbara’s team has achieved a quantifiable upper bound on success in these scenarios for the first time. The work shows that if two parties can both recover a hidden string with probability p using only local measurements, then their ability to predict its parity, a key property used in cryptography, is limited by min{1, ½ + 5p/22}. A new…
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