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19962026
most citedMonge Metric on the Sphere and Geometry of Quantum States

86 citations · 411 across the 26 of their papers we have counts for

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quant-ph2026

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…

quant-ph2023

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…

quant-ph2020★ 1 cited

Orthogonal Projections on Hyperplanes Intertwined With Unitaries

Wojciech Słomczyński, Anna Szczepanek

Fix a point in a finite-dimensional complex vector space and consider the sequence of iterates of this point under the composition of a unitary map with the orthogonal projection o…

quant-ph2019★ 4 cited

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…

quant-ph2016★ 11 cited

Quantum dynamical entropy, chaotic unitaries and complex Hadamard matrices

Wojciech Słomczyński, Anna Szczepanek

We introduce two information-theoretical invariants for the projective unitary group acting on a finite-dimensional complex Hilbert space: PVM- and POVM-dynamical (quantum) entropi…

quant-ph2015★ 31 cited

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…