4 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…
Distances between pure quantum states induced by a distance matrix
Tomasz Miller, RafaÅ BistroÅ
With the help of a given distance matrix of size , we construct an infinite family of distances (where ) on the complex projective space $\mathbb{P}(\mathbb{C}^n…
The operational no-signalling constraints and their implications
MichaÅ 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
MichaŠEckstein, 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…