Quantum entanglement, Calabi-Yau manifolds, and noncommutative algebraic geometry
classification
🪐 quant-ph
math.AG
keywords
algebraiccalabi-yaugeometrymanifoldsnoncommutativebundlescasesclasses
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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.
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