Transport distance between Grover walks on graphs and coarse Ricci curvature
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Publication:6550793
DOI10.1007/S11128-024-04373-2zbMATH Open1542.81461MaRDI QIDQ6550793
Yasuaki Fujitani, Chusei Kiumi
Publication date: 5 June 2024
Published in: Quantum Information Processing (Search for Journal in Brave)
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Optimal transportation (49Q22)
Cites Work
- Title not available (Why is that?)
- Spectral and asymptotic properties of Grover walks on crystal lattices
- Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices
- Ricci curvature of graphs
- Ricci curvature of Markov chains on metric spaces
- Needle decompositions and isoperimetric inequalities in Finsler geometry
- Quantum walks on hypergraphs
- A new transport distance and its associated Ricci curvature of hypergraphs
- Geometric and spectral properties of directed graphs under a lower Ricci curvature bound
- Quantum optimal transport with quantum channels
- Ollivier's Ricci curvature, local clustering and curvature-dimension inequalities on graphs
- Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems
- Quantum random walks in one dimension
- Foundation of quantum optimal transport and applications
- The Ricci curvature on directed graphs
- Quantum graph walks I: mapping to quantum walks
- Quantum walks on graphs
- Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
- Quantum speedup of Monte Carlo methods
- Optimal Transport
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