Author

Caesnan M. G. Leditto

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Preprint Sep 2026

Double Localization for Quantum Gibbs Sampler Gaps: From an Abstract Framework to Finite-Group Models

We introduce double localization, a framework for proving spectral gaps of quantum Gibbs samplers through two complementary operations: geometric localization, which selects updates supported in small spatial regions, and interface localization, which focuses on a model-defined subspace of observables while remaining g...

Ryu Hayakawa, A. Southwell, Caesnan M. G. Leditto et al. · 0 citations

Preprint Oct 2026

From Heat to Homology: Spectral Gap Transfer for Exact Quantum Gibbs Sampling at All Temperatures

Preparing Gibbs states through dissipative dynamics requires controlling convergence for the chosen Hamiltonian $H$ and coupling operators. However, efficient implementation requires convergence guarantees from the spectral gap of the generator of the dynamics, which remains a crucial challenge. Recent results address...

Caesnan M. G. Leditto, Kuo-Chin Chen, Min-Hsiu Hsieh · 0 citations

Preprint Oct 2026

Quantum Complexity of Solving Linear Equations on Higher-Order Networks

Higher-order networks (HONs) represent interactions among groups of objects, supporting the study of collective behaviour that pairwise models can miss. In simplicial models of these networks, Hodge Laplacian linear systems provide a common mathematical framework for analysis, for example, for solving statistical ranki...

Caesnan M. G. Leditto · 0 citations