Unflattening by Flattening -- How Input Distributions Shape Output Variance in Angle-Encoded Circuits

arXiv:2610.01446 · quant-ph · Submitted 2026-10-01 · Read on arXiv

quant-ph

Submitted: 2026-10-01

Updated: 2026-10-01

Code: https://github.com/cirKITers/unflattening-by-flattenin

Terminology

• Clustering — 15× in this paper · explained in 2 episodes
• Quantum Circuits — 7× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode

Sources

• Exponentially many initializations to avoid barren plateaus
• Observable-Guided Generator Selection for Improving Trainability in Quantum Machine Learning with a $ \mathfrak{g} $-Purity Interpretation under Restricted Settings

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity