278 citations · 679 across the 13 of their papers we have counts for
13 papers
Asymptotic inference in a stationary quantum time series
Michael Nussbaum, Arleta Szkoła
We consider a statistical model of a n-mode quantum Gaussian state which is shift invariant and also gauge invariant. Such models can be considered analogs of classical Gaussian st…
An asymptotic error bound for testing multiple quantum hypotheses
Michael Nussbaum, Arleta Szkoła
We consider the problem of detecting the true quantum state among possible ones, based of measurements performed on copies of a finite-dimensional quantum system. A special…
Process Dimension of Classical and Non-Commutative Processes
Wolfgang Löhr, Arleta Szkoła, Nihat Ay
We treat observable operator models (OOM) and their non-commutative generalisation, which we call NC-OOMs. A natural characteristic of a stochastic process in the context of classi…
Effective complexity of stationary process realizations
Nihat Ay, Markus Mueller, Arleta Szkola
The concept of effective complexity of an object as the minimal description length of its regularities has been initiated by Gell-Mann and Lloyd. The regularities are modeled by me…
Effective Complexity and its Relation to Logical Depth
Nihat Ay, Markus Mueller, Arleta Szkola
Effective complexity measures the information content of the regularities of an object. It has been introduced by M. Gell-Mann and S. Lloyd to avoid some of the disadvantages of Ko…
Asymptotic Error Rates in Quantum Hypothesis Testing
K. M. R. Audenaert, M. Nussbaum, A. Szkola +1
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for t…