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Caesnan M. G. Leditto

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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

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