Quantum entanglement, Calabi-Yau manifolds, and noncommutative algebraic   geometry
  We relate SLOCC equivalence classes of qudit states to moduli spaces of Calabi-Yau manifolds equipped with a collection of line bundles. The cases of 3 qutrits and 4 qubits are also related to noncommutative algebraic geometry. 
Shinnosuke Okawa, Kazushi Ueda
quant-ph math.AG