New Directions in Quantum Statistics



Organising group(s): 

3rd AQuA Student Congress 2013

We are currently entering a new technological era where quantum mechanics is used not only to predict physical behaviour but increasingly to exploit quantum resources in applications such as Quantum Communication, Cryptography, Computation and Metrology. Due to the probabilistic nature of quantum measurements, statistical inference based on measurement data plays an increasing role in analysing and validating the results of quantum experiments. In recent years there has been a renewed interest in developing techniques for quantum state and channel tomography (estimation), quantum system identification, establishing error bars (confidence intervals) but also in developing the mathematical theory of quantum statistics seen as a non-commutative version of classical statistical decision theory.

This meeting brings together leading workers in Quantum Statistics representing the different research strands: experimental physics, quantum information and mathematical physics, and statistics. The goal is to foster a dialogue and establish a common language across the different backgrounds, disseminate recent results, debate current methodology, and identify future research opportunities. The topics include: efficient methods for estimating large dimensional quantum states, validation of the measurement statistical models, confidence intervals, quantum system identification, informationally complete observables, estimation with sparsity assumptions.