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4 papers · 2 filters
Optimal estimation of qubit states with continuous time measurements
Madalin Guta, Bas Janssens, Jonas Kahn
We propose an adaptive, two steps strategy, for the estimation of mixed qubit states. We show that the strategy is optimal in a local minimax sense for the trace norm distance as w…
Bohr-Heisenberg Reality and System-Free Quantum Mechanics
George Jaroszkiewicz, Jon Eakins
Motivated by Heisenberg's assertion that electron trajectories do not exist until they are observed, we present a new approach to quantum mechanics in which the concept of observer…
Local asymptotic normality in quantum statistics
Madalin Guta, Anna Jencova
The theory of local asymptotic normality for quantum statistical experiments is developed in the spirit of the classical result from mathematical statistics due to Le Cam. Roughly…
A Bayesian Analogue of Gleason's Theorem
Thomas Marlow
We introduce a novel notion of probability within quantum history theories and give a Gleasonesque proof for these assignments. This involves introducing a tentative novel axiom of…