31 citations · 65 across the 7 of their papers we have counts for
9 papers
From minimal informationally complete measurements to orthocentric simplices and back again
Piotr Bereza, Wojciech Słomczyński, Anna Szymusiak
The reconstruction of unknown quantum states via minimal informationally complete measurements (MICs) is a cornerstone of quantum tomography. Although the statistical properties of…
Beyond morphophoricity: -tight IC measurements in geometric generalised probabilistic theories
Anna Szymusiak
The analysed in this paper new class of -tight IC measurements contains both morphophoric measurements, preserving the geometry of the states space, and tight IC measurements, i…
Can QBism exist without Q? Morphophoric measurements in generalised probabilistic theories
Anna Szymusiak, Wojciech Słomczyński
In a Generalised Probabilistic Theory (GPT) equipped additionally with some extra geometric structure we define the morphophoric measurements as those for which the measurement map…
Morphophoric POVMs, generalised qplexes, and 2-designs
Wojciech Słomczyński, Anna Szymusiak
We study the class of quantum measurements with the property that the image of the set of quantum states under the measurement map transforming states into probability distribution…
Pure states of maximum uncertainty with respect to a given POVM
Anna Szymusiak
One of the differences between classical and quantum world is that in the former we can always perform a measurement that gives certain outcomes for all pure states, while such a s…
Communication capacity of mixed quantum t designs
Sarah Brandsen, Michele Dall'Arno, Anna Szymusiak
We operationally introduce mixed quantum t-designs as the most general arbitrary-rank extension of projective quantum t-designs which preserves indistinguishability from the unifor…
Informational power of the Hoggar SIC-POVM
Anna Szymusiak, Wojciech Słomczyński
We compute the informational power for the Hoggar SIC-POVM in dimension 8, i.e. the classical capacity of a quantum-classical channel generated by this measurement. We show that th…
Maximally informative ensembles for SIC-POVMs in dimension 3
Anna Szymusiak
In order to find out for which initial states of the system the uncertainty of the measurement outcomes will be minimal, one can look for the minimizers of the Shannon entropy of t…
Highly symmetric POVMs and their informational power
Wojciech Słomczyński, Anna Szymusiak
We discuss the dependence of the Shannon entropy of normalized finite rank-1 POVMs on the choice of the input state, looking for the states that minimize this quantity. To distingu…