Symplectic geometry of unbiasedness and critical points of a potential

DOI10.2969/aspm/08310001zbMath1453.53074arXiv1507.00081OpenAlexW3025787759MaRDI QIDQ2212249

Ilya Zhdanovskiy, Alexey Bondal

Publication date: 19 November 2020

Full work available at URL: https://arxiv.org/abs/1507.00081

zbMATH Keywords

toric varietiesmirror symmetryFano varietysymplectic reductionLagrangian submanifoldmomentum mapquantum informationmutually unbiased basesNewton polyhedraLandau-Ginzburg potential

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Momentum maps; symplectic reduction (53D20) Fano varieties (14J45) Lagrangian submanifolds; Maslov index (53D12) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Ginzburg-Landau equations (35Q56) Mirror symmetry (algebro-geometric aspects) (14J33) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (6)

Coherence of relatively quasi-free algebras ⋮ Partial abelianization of free product of algebras ⋮ Some algebraic and geometric aspects of quantum measurements ⋮ Homotopes of finite-dimensional algebras ⋮ Algebras of projectors and mutually unbiased bases in dimension 7 ⋮ Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves

Cites Work

• Some connections between frames, mutually unbiased bases, and POVM's in quantum information theory
• Noncommutative geometry and quiver algebras
• Coherence of relatively quasi-free algebras
• Orthogonal decompositions and integral lattices
• ON MUTUALLY UNBIASED BASES
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