On distributional symmetries on the CAR algebra
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
TL;DR
This paper demonstrates that spreadable, exchangeable, and rotatable states on the CAR algebra are equivalent, unifying different symmetry concepts within this mathematical framework.
Contribution
It establishes the equivalence of various symmetry conditions on the CAR algebra, providing a unified understanding of these states.
Findings
Spreadable, exchangeable, and rotatable states are shown to be the same.
Unification of symmetry concepts in the CAR algebra.
Simplification of the classification of states based on symmetries.
Abstract
Spreadable, exchangeable, and rotatable states on the CAR algebra are shown to be the same.
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Taxonomy
TopicsQuantum Mechanics and Applications · Algebraic structures and combinatorial models · Quantum Information and Cryptography