Develops an invariant-based framework connecting Pauli Lie algebras to transvection-generated Clifford subgroups for quantum reachability and dynamics analysis.
Clifford Algebras and Graphs
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
I show how to associate a Clifford algebra to a graph. I describe the structure of these Clifford graph algebras and provide many examples and pictures. I describe which graphs correspond to isomorphic Clifford algebras and also discuss other related sets of graphs. This construction can be used to build models of representations of simply-laced compact Lie groups.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
A perturbation of two Ising chains (or interpolation between Jordan-Wigner and Fendley FFD models) yields an FFD-solvable spin chain without exponential degeneracies for generic couplings.
Derives path-product expansion for free-fermion modes and local conserved charges in generalized free-fermion models from Krylov basis generating function.
citing papers explorer
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From Pauli Strings to Quantum Dynamics: A Unified Characterization
Develops an invariant-based framework connecting Pauli Lie algebras to transvection-generated Clifford subgroups for quantum reachability and dynamics analysis.
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Free fermions in disguise without exponential degeneracies
A perturbation of two Ising chains (or interpolation between Jordan-Wigner and Fendley FFD models) yields an FFD-solvable spin chain without exponential degeneracies for generic couplings.
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Solving models with generalized free fermions II: Path-product expansion and conserved charges
Derives path-product expansion for free-fermion modes and local conserved charges in generalized free-fermion models from Krylov basis generating function.