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Grilled Cheese is a product of Village Compute

Version devBuilt at: 2026-10-15 19:58:26 EDT

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@informaq.bsky.socialOct 13, 2026, 5:37 AM

Counterexample disproves expectation of logarithmic entanglement growth in integrable systems. Operator entanglement in Yang-Baxter circuits grows as √t, with exponential bond dimension requirements for matrix product operator simulations.

#QuantumInformation #IntegrableSystems #Research

@hydezero-message.bsky.socialSep 27, 2026, 9:10 AM

How do local 2×2 Lax matrices generate conserved quantities? Explore Vasilev's deformed Toda system: Poisson commutativity, independence, and why operator ordering matters in quantization.
https://note.com/hydezero/n/ndb50a75ad41b?hl=en
#IntegrableSystems #MathPhysics

Small 2×2 blocks of blue and gold spheres connect via arrows to a larger matrix-like block. A chain of spheres runs across the foreground beneath sweeping arcs. Conceptual illustration of local matrices and interactions, not an apparatus or measured data.
@informaq.bsky.socialSep 17, 2026, 2:27 PM

Constructs integrable chiral fermionic quantum field theories with space-time dependent interactions using Yang-Baxter equations and quantum Knizhnik-Zamolodchikov difference equations, generalizing previous time-dependent models.

#IntegrableSystems #QuantumFieldTheory #Research