FINITE GEOMETRIES IN QUANTUM THEORY: FROM GALOIS (FIELDS) TO HJELMSLEV (RINGS)

DOI10.1142/S0217979206034388zbMath1093.81045OpenAlexW2076147499MaRDI QIDQ5484214

Metod Saniga, Michel Planat

Publication date: 24 August 2006

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979206034388

zbMATH Keywords

Galois ringsconicsmutually unbiased basesprojective Hjelmslev planes

Mathematics Subject Classification ID

Quantum computation (81P68) General quantum mechanics and problems of quantization (81S99) Finite fields (field-theoretic aspects) (12E20) Finite geometry and special incidence structures (51E99) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Related Items (3)

Projective line over the finite quotient ring \(\text{GF}(2)[x/\langle x^{3} - x\rangle\) and quantum entanglement: theoretical background] ⋮ Projective line over the finite quotient ring \(\mathrm{GF}(2)[x/\langle x^{3}-x\rangle \) and quantum entanglement: the Mermin ``magic square/pentagram] ⋮ THE VELDKAMP SPACE OF THE SMALLEST SLIM DENSE NEAR HEXAGON

Cites Work

• Unnamed Item
• Viewing sets of mutually unbiased bases as arcs in finite projective planes
• Projektive und affine Ebenen mit Nachbarelementen
• About mutually unbiased bases in even and odd prime power dimensions
• Mutually Unbiased Bases and the Complementarity Polytope
• On arcs in projective Hjelmslev planes

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