A graph-theoretic analysis of non-generic free-fermion solvability by Krylov decompositions
quant-ph
Submitted: 2026-10-02
Updated: 2026-10-02
Comments: 43 pages, 7 figures
Code: https://github.com/taeruh/nongeneric_free_fermions
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Sources
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- Anyons in an exactly solved model and beyond
- Jordan-Wigner transformations for tree structures
- Generalized Jordan-Wigner Transformations
- Particle exchange statistics beyond fermions and bosons
- Fermionic Linear Optics and Matchgates
- Fermionic quantum computation
- Classical simulation of noninteracting-fermion quantum circuits
- Fermionic Linear Optics Revisited
- Fermion Sampling: a robust quantum computational advantage scheme using fermionic linear optics and magic input states
- A Description of Kitaev's Honeycomb Model with Toric-Code Stabilizers
- Arbitrary Dimensional Majorana Dualities and Network Architectures for Topological Matter
- Jordan-Wigner Dualities for Translation-Invariant Hamiltonians in Any Dimension: Emergent Fermions in Fracton Topological Order
- Free-Fermion Subsystem Codes
- Mapping local Hamiltonians of fermions to local Hamiltonians of spins
- Optimizing fermionic encodings for both Hamiltonian and hardware
- A Compact Fermion to Qubit Mapping Part 2: Alternative Lattice Geometries
- A Sierpinski Triangle Fermion-to-Qubit Transform
- Free fermions in disguise
- Quantum circuits with free fermions in disguise
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