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Topological Quantum Computing
Open Quantum Systems Decoherence
Quantum Simulation
Entanglement Theory Quantum Correlations
The weakly interacting tenfold way
arXiv
Authors: Lucas C. P. A. M. Müssnich, Renato Vasconcellos Vieira
Year
2026
Paper ID
30675
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
We present implementations of the topological K-theory spectra KU and KO in terms of time evolution operators of irreducible free fermion systems with symmetries, with explicit formulas for the structural suspension maps. We also introduce a geometric definition of weakly interacting time evolution operators, and show how associated spectra KUwi and KOwi deformation retract to KU and KO. We thus have a stable homotopy theoretical proof that the tenfold way is stable to weak interactions.
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- We present implementations of the topological K-theory spectra KU and KO in terms of time evolution operators of irreducible free fermion systems with symmetries, with explicit...
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