ON UNCERTAINTY, BRAIDING AND ENTANGLEMENT IN GEOMETRIC QUANTUM MECHANICS

DOI10.1142/S0129055X06002863zbMath1124.81026OpenAlexW2000443761MaRDI QIDQ3422248

Mauro Spera, Alberto Benvegnù

Publication date: 9 February 2007

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x06002863

zbMATH Keywords

elliptic curvesJacobi fieldslinksquantum entanglementgeometric quantum mechanicsArtin's braid groupSegre and veronese maps

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Quantum measurement theory, state operations, state preparations (81P15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Elliptic functions and integrals (33E05)

Related Items (4)

\(\ell_1\)-norm in three-qubit quantum entanglement constrained by Yang-Baxter equation ⋮ Topological basis associated with B-M-W algebra: two-spin-1/2 realization ⋮ Yang-Baxter equations and quantum entanglements ⋮ Hamiltonian monodromy via geometric quantization and theta functions

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