Quantum U-statistics enable optimal state estimation from limited copies with variance scaling as O(1/n²), achieving fundamental quantum mechanical limits without complex state preparation.
@informaq.bsky.social
@informaq.bsky.socialQuantum U-statistics enable optimal state estimation from limited copies with variance scaling as O(1/n²), achieving fundamental quantum mechanical limits without complex state preparation.
@informaq.bsky.socialProves continuity of regularized channel Rényi divergence at α=1, enabling computability of channel relative entropy and new results in quantum channel discrimination through novel spectral confinement techniques.
@informaq.bsky.socialTheoretical proof that rational agents in quantum theory cannot agree to disagree, extending Aumann's classical theorem. Result holds for all generalized probability theories and reveals agreement determined by information conditioning mechanics.
@informaq.bsky.socialProves exponential decay of entanglement-transmission fidelity beyond quantum capacity for all finite-dimensional channels via quantum blowing-up lemma and polynomial projector approximations.
#QuantumInformationTheory #QuantumCommunication #QuantumCapacity
@informaq.bsky.socialFundamental proof that information transmission over quantum channels fails exponentially above capacity. New integral representations of Rényi measures establish that channel capacity marks a sharp phase transition for reliable communication.
@informaq.bsky.socialResolves open question in quantum state tomography by proving tight lower bounds for protocols where each measurement acts on k copies, removing earlier restrictions and determining optimal copy complexity.