05706136

j

05706136 Jakubczyk, Pawe{\l} Topolewicz, Stanis{\l}aw Wal, Andrzej Lulek, Tadeusz Schwinger geometry, Bethe ansatz, and a magnonic qudit. Open Syst. Inf. Dyn. 16, No. 2-3, 221-233 (2009). 2009 World Scientific, Singapore EN

doi:10.1142/S1230161209000165

Summary: Schwinger approach of unitary geometry for a finite-dimensional Hilbert space is interpreted in terms of a magnonic qudit -- a hypothetic elementary unit of memory of a quantum computer. The space is interpreted within the Heisenberg model for a magnetic ring, its calculational basis as the classical configuration space for a single spin deviation, treated as a Bethe pseudoparticle, and the dual basis corresponds to quasimomenta, so that the classical phase space spans the quantum algebra of observables. Effects of the Schur-Weyl duality and Bethe ansatz exact eigenstates of the Heisenberg Hamiltonian for the XXX model on properties of the magnonic qudit are presented.