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quant-ph2023
An algebraic formulation of nonassociative quantum mechanics
Peter Schupp, Richard J. Szabo
We develop a version of quantum mechanics that can handle nonassociative algebras of observables and which reduces to standard quantum theory in the traditional associative setting…
quant-ph2000
Duality and Decoherence Free Subspaces
David D. Song, Richard J. Szabo
Quantum error avoiding codes are constructed by exploiting a geometric interpretation of the algebra of measurements of an open quantum system. The notion of a generalized Dirac op…