Establishes global Bayes optimality for quantum state prediction: highest-weight measurements provably maximize information from measured quantum copies to predict unmeasured ones, with exact fundamental performance bounds.

#QuantumInference #QuantumMeasurement #Research

Extends categorical axioms for quantum retrodiction to infinite-dimensional systems, rigorously proving Petz recovery maps function as universal quantum Bayes' rules satisfying complete functoriality on von Neumann algebras.

#QuantumInference #VonNeumannAlgebras #Research

Coherent quantum protocols achieve exponentially lower sample complexity than measurement-mediated approaches—O(1/ε) vs Ω(d/ε)—revealing fundamental advantages of preserving quantum coherence in information processing.

#QuantumInference #QuantumAlgorithms #Research