Environment-aware transverse transport geometry for non-Gaussian oscillator states

arXiv:2609.19026 · quant-ph · Submitted 2026-07-19 · Read on arXiv

quant-ph

Submitted: 2026-07-19

Updated: 2026-07-19

Terminology

• Trace — 14× in this paper · explained in 2 episodes
• Regularization — 9× in this paper · explained in 3 episodes
• Wasserstein Distance — 8× in this paper · explained in 4 episodes
• Gradient Flow — 7× in this paper · explained in 2 episodes
• Wigner function — 6× in this paper · explained in 2 episodes
• Homogeneity — 4× in this paper · explained in 2 episodes
• Optimal Transport — 4× in this paper · explained in 5 episodes
• Adaptation — 3× in this paper · explained in 1 episode
• Non-Gaussianity — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Reconstruction Error — 1× in this paper · explained in 2 episodes

Sources

• Gaussian Quantum Information
• Non-Gaussian Quantum States and Where to Find Them
• Resource theory of quantum non-Gaussianity and Wigner negativity
• Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
• A Noncommutative Transport Metric and Symmetric Quantum Markov Semigroups as Gradient Flows of the Entropy
• From State-Space Transport to Measurement-Aware Distinguishability in Quantum Sensing
• The Quantum Wasserstein Distance of Order 1

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