Year: 2026
Type: preprint
Abstract: The quantum Wasserstein distances defined by Golse, Mouhot, Paul, and Caglioti and by De Palma and Trevisan coincide for qubits when a single operator appears in the cost function. As a consequence, the square of the self-distance equals the Wigner-Yanase skew information in this case. Moreover, for finite-dimensional systems of dimension $d\ge2$ and any number of operators, we show that the Golse-Mouhot-Paul-Caglioti self-distance is bounded from below by the De Palma-Trevisan self-distance.
Source: arXiv (Cornell University)
Authors: Tóth, Géza, Pitrik, József
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: Ministerio de Ciencia, Innovación y Universidades, Eusko Jaurlaritza, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, QuantERA, European Regional Development Fund, Agencia Estatal de Investigación, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap, National Research, Development and Innovation Office
Awards: G12026128, G1236318949, G1273142707, G134384773, G1622782223, G2009008446, G2953162778, G298428782, G3480869486, G3777708657, G3861891927, G41237254, G4428170828, G4511769669, G4519987371, G4526231891, G4568777066, G4783321415, G4833133300, G5635532810, G5914662731, G6293336981, G67347242, G7084143925, G7694217703, G785787759, G8953647516
OpenAlex ID: W7160419785