Quantum advantage in learning single mode bosonic channels

arXiv:2609.30374 · quant-ph · Submitted 2026-09-24 · Read on arXiv

quant-ph

Submitted: 2026-09-24

Updated: 2026-09-24

Comments: 9 pages, comments and suggestions very welcome

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Sample Complexity — 50× in this paper · explained in 20 episodes
• Entanglement — 25× in this paper · explained in 4 episodes
• Calibration — 12× in this paper · explained in 9 episodes
• Trace — 6× in this paper · explained in 2 episodes
• Log-Likelihood Ratio — 5× in this paper
• Reconstruction Error — 4× in this paper · explained in 2 episodes
• Temporal Correlations — 4× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Adaptive Strategy — 2× in this paper
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Ancillary Qubits — 1× in this paper
• Benchmark — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• $100\pm\Delta t$ Years of Quantum Uncertainty: From Origins to Modern Insights
• Exponential Separations between Quantum Learning with and without Purification
• Entanglement-enhanced learning of quantum processes at scale
• What resources are needed for optimal learning of bosonic Gaussian states?
• Advances in quantum learning theory with bosonic systems
• Exponential quantum advantage for learning signals with a single qubit

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