3 papers
quant-ph2026
The Fermionic Cohomology Problem on the Full Fock Space Is -Complete
Yibin Wang
Fermionic cohomology detects zero-energy states of supersymmetric Hamiltonians. Previous work showed that deciding nonzero cohomology in an input-specified particle-number sector i…
quant-ph2026
A Quantum Algorithm for the Radical of a Lie Algebra: Kernel Projection and Conditioning
Yibin Wang
Every finite-dimensional real or complex Lie algebra has a largest solvable ideal, its radical. In the compact dynamical Lie algebra (DLA) of a closed quantum system, this radical…
quant-ph2026
Zero-Energy Problems for Supersymmetric Hamiltonians on a Chain Are -Complete
Yibin Wang
We study exact zero modes of supersymmetric quantum systems whose interactions are arranged on a one-dimensional chain. For Hermitian supercharges, deciding whether a zero mode exi…