Universal holonomic control of algebras of observables

arXiv:2609.28662 · quant-ph · Submitted 2026-09-23 · Read on arXiv

quant-ph

Submitted: 2026-09-23

Updated: 2026-09-23

Comments: 14 pages, 1 figure; includes appendices and numerical verification code as ancillary files

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

Terminology

• Holonomy — 60× in this paper · explained in 2 episodes
• Trace — 7× in this paper · explained in 2 episodes
• Entanglement — 3× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Adiabatic Evolution — 1× in this paper · explained in 2 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Picturing general quantum subsystems
• Orbits of conditional expectations
• Smooth paths of conditional expectations
• Quantum scrambling of algebras of observables: the $\mathbb{Z}_2$-symmetric case
• Stabilizer Codes and Quantum Error Correction

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