Measurement - induced qudit geometric discord

Abstract

We study the measurement-induced geometric discord based on the trace norm and generalize some properties known for qutrits to qudits. Previous preliminary results for bipartite qutrit systems (i.e. d=3 systems) are here strictly proved for arbitrary d. Present study supports observations, coming also from other approaches, that systems with $d\ge 3$ show similar behaviour when quantum correlations are concerned, but there is pronounced difference between d=2 and d=3. Qubit systems are exceptionally simple. Underlying geometry of state spaces and related Lie groups are responsible for that.

Published version

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Cited by in corpus (4)

• Quantum discord and its allies: a review
• Determining quantum correlations in bipartite systems - from qubit to qutrit and beyond
• Two-qubit trace-norm geometric discord: the complete solution
• Multipartite Generalization of Geometric measure of Discord