Uhlmann Geometry of Fixed-Rank Density Matrices: A Fiber-Bundle Approach

arXiv:2609.21875 · quant-ph · Submitted 2026-09-18 · Read on arXiv

quant-ph

Submitted: 2026-09-18

Updated: 2026-09-30

Terminology

Holonomy — 61× in this paper · explained in 2 episodes
Chern Number — 19× in this paper · explained in 4 episodes
Trace — 15× in this paper · explained in 2 episodes
Degeneracy — 11× in this paper · explained in 3 episodes
Phase Transitions — 6× in this paper · explained in 2 episodes
Adiabatic Evolution — 2× in this paper · explained in 2 episodes
Generalization — 2× in this paper · explained in 13 episodes
Hilbert Space — 2× in this paper · explained in 2 episodes
Lindblad Dynamics — 2× in this paper · explained in 2 episodes
Alignment — 1× in this paper · explained in 1 episode
Berry Curvature — 1× in this paper · explained in 3 episodes
Consistency — 1× in this paper · explained in 3 episodes
Entanglement — 1× in this paper · explained in 3 episodes
Fidelity — 1× in this paper · explained in 2 episodes
Gauge Freedom — 1× in this paper · explained in 2 episodes
Quantization — 1× in this paper · explained in 12 episodes
Quantum Physics — 1× in this paper · explained in 10 episodes
Spectral Gap — 1× in this paper · explained in 5 episodes
Spectral Geometry — 1× in this paper · explained in 2 episodes
Verification — 1× in this paper · explained in 2 episodes

Sources

Measuring Mixed-State Topological Invariant in Open Photonic Quantum Walk

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