MUBs inequivalence and affine planes
From MaRDI portal
Publication:2861743
DOI10.1063/1.3690050zbMath1274.46059arXiv1104.3370OpenAlexW2053377743MaRDI QIDQ2861743
Publication date: 11 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.3370
Finite affine and projective planes (geometric aspects) (51E15) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Inner product spaces and their generalizations, Hilbert spaces (46C99) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items (16)
Classical codes in quantum state space ⋮ Equiangular lines in Euclidean spaces ⋮ A note on commutators in compact semisimple Lie algebras ⋮ Welch bound equality sets with few distinct inner products from Delsarte-Goethals sets ⋮ An analytic function approach to weak mutually unbiased bases ⋮ On maximal symplectic partial spreads ⋮ Entanglement breaking rank and the existence of SIC POVMs ⋮ Extreme points and factorizability for new classes of unital quantum channels ⋮ Clifford tori and unbiased vectors ⋮ A Characterization of Projective Unitary Equivalence of Finite Frames and Applications ⋮ Optimal quantum tomography with constrained measurements arising from unitary bases ⋮ Erratum: “States that ‘look the same’ with respect to every basis in a mutually unbiased set” [J. Math. Phys. 55, 122206 (2014)] ⋮ Cyclic mutually unbiased bases, Fibonacci polynomials and Wiedemann's conjecture ⋮ Large sets of complex and real equiangular lines ⋮ Isolated Hadamard matrices from mutually unbiased product bases ⋮ Symplectic spreads, planar functions, and mutually unbiased bases
Cites Work
- Symplectic semifield spreads of \(\mathrm{PG}(5,q)\) and the Veronese surface
- New commutative semifields defined by new PN multinomials
- Planar functions and planes of Lenz-Barlotti class II
- Commutative semifields from projection mappings
- Nice error bases, mutually unbiased bases, induced representations, the Heisenberg group and finite geometries
- A family of skew Hadamard difference sets
- Ovoides et groupes de Suzuki
- Commutative semifields, two dimensional over their middle nuclei
- Partitions and their stabilizers for line complexes and quadrics
- Projective planes of order \(q\) whose collineation groups have order \(q^ 2\)
- Spreads and ovoids in finite generalized quadrangles
- Symplectic groups, symplectic spreads, codes, and unimodular lattices
- Commutative semifields and symplectic spreads.
- Ovoids of parabolic spaces
- A new proof for the existence of mutually unbiased bases
- Symplectic spreads
- Quaternionic line-sets and quaternionic Kerdock codes
- New flag-transitive affine planes of even order
- New families of perfect nonlinear polynomial functions
- Equiangular lines, mutually unbiased bases, and spin models
- Nearly flag-transitive affine planes
- Weighted complex projective 2-designs from bases: Optimal state determination by orthogonal measurements
- Classes of Quadratic APN Trinomials and Hexanomials and Related Structures
- Complex sequences with low periodic correlations (Corresp.)
- Ovoids and Translation Planes
- Spreads, Translation Planes and Kerdock Sets. I
- Z4 -Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets
- Symplectic semifield planes and ℤ₄–linear codes
This page was built for publication: MUBs inequivalence and affine planes
