Work

Quantum Wasserstein isometries with a single observable generating the transport cost

Year: 2026

Type: article

Abstract: We consider quantum Wasserstein distances where the transport cost is generated by a single observable quantity, and study the isometries of quantum state spaces with respect to these distances. The main result is an extension of Theorem 2 in [R. Simon, D. Virosztek, Linear Algebra Appl. 714 (2025), 1–14], which describes the qubit Wasserstein isometries induced by a single observable, to finite quantum systems of arbitrary dimensions.

Source: Acta Scientiarum Mathematicarum

DOI: 10.1007/s44146-026-00254-5

Authors: Eszter Szabó, Dániel Virosztek

Institutions: Eötvös Loránd University, HUN-REN Alfréd Rényi Institute of Mathematics

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Magyar Tudományos Akadémia, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, H2020 European Research Council