Connes spectral distances, quantum discord and coherence of qubits
Abstract
Abstract We construct spectral triples of one- and two-qubit states using the Hilbert-Schmidt operatorial formulation, and study the Connes spectral distances. We also construct the Dirac operator corresponding to the normal quantum trace distances. Based on the Connes spectral distances, we propose some definitions of quantum discord and coherence measure of quantum states, and explicitly calculate the coherence of one-qubit states. We also study some simple cases about two-qubit states, and the corresponding spectral distances satisfy the Pythagoras theorem. These results are significant for studies on physical relations and geometric structures of qubits and other quantum states.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Physica Scripta
- Publisher
- IOP Publishing
- Volume
- 101
- Issue
- 9
- Pages
- 095204–095204
- Publication date
- 20 February 2026
- Language
- EN