6 papers
Comment on 'Quantum Monge-Kantorovich Problem and Transport Distance between Density Matrices'
Tomasz Miller
Friedland et al. [PRL 129, 110402 (2022)] proposed and studied a quantum analogue of the -Wasserstein distance based on quantum cost matrices and quantum couplings. They conject…
The operational no-signalling constraints and their implications
Michał Eckstein, Tomasz Miller, Ryszard Horodecki +2
The study of quantum correlations within relativistic spacetimes, and the consequences of relativistic causality on information processing using such correlations, has gained much…
The max-type quasimetrics on probability simplices
Michał Eckstein, Tomasz Miller, Karol Życzkowski
Quasimetric spaces form a natural framework to study distance problems with an inherent directional asymmetry. We introduce a simple novel class of quasimetrics on probability simp…
Distances between pure quantum states induced by a distance matrix
Tomasz Miller, Rafał Bistroń
Given an distance matrix, we construct an infinite family of distances (where ) on the complex projective space modelling th…
A new class of distances on complex projective spaces
Rafał Bistroń, Michał Eckstein, Shmuel Friedland +2
The complex projective space can be interpreted as the space of all quantum pure states of size . A distance on this space, interesting from the persp…
On the diagonal product of special unitary matrices
Tomasz Miller
We study the image of under the diagonal product map. Using only elementary tools of linear algebra, analysis and general topology, we find the analytical formula…