3 papers
math-ph2026
Tensor network manifolds and Riemannian fundamental theorem for tensor networks
Pablo Páez-Velasco
Tensor networks provide a powerful framework for efficiently representing high-dimensional data and many-body quantum states. Endowing tensor networks with a Riemannian manifold st…
quant-ph2026
Efficient and simple Gibbs state preparation of the 2D toric code via duality to classical Ising chains
Pablo Páez-Velasco, Niclas Schilling, Samuel O. Scalet +2
We introduce the notion of polynomial-depth duality transformations, which relates two sets of operator algebras through a conjugation by a poly-depth quantum circuit, and make use…
math-ph2026
Rapid mixing for Gibbs measures in Riemannian manifolds
Ãngela Capel, Marco Castrillón-López, Sofyan Iblisdir +3
Langevin dynamics on Riemannian manifolds is analyzed. Conditions ensuring the existence of a suitable logarithmic Sobolev inequality (rapid mixing to the Gibbs measure) are identi…