Hjelmslev geometry of mutually unbiased bases
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Publication:3373157
DOI10.1088/0305-4470/39/2/013zbMath1086.51004arXivmath-ph/0506057OpenAlexW2036781212MaRDI QIDQ3373157
Publication date: 13 March 2006
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0506057
Quantum measurement theory, state operations, state preparations (81P15) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)
Related Items (11)
Galois quantum systems, irreducible polynomials and Riemann surfaces ⋮ Projective line over the finite quotient ring \(\text{GF}(2)[x/\langle x^{3} - x\rangle\) and quantum entanglement: theoretical background] ⋮ An Algorithm for Constructing Hjelmslev Planes ⋮ A survey of finite algebraic geometrical structures underlying mutually unbiased quantum measurements ⋮ An analytic function approach to weak mutually unbiased bases ⋮ Mutually unbiased projectors and duality between lines and bases in finite quantum systems ⋮ Projective line over the finite quotient ring \(\mathrm{GF}(2)[x/\langle x^{3}-x\rangle \) and quantum entanglement: the Mermin ``magic square/pentagram] ⋮ Harmonic analysis on a Galois field and its subfields ⋮ Projective planes over ``Galois double numbers and a geometrical principle of complementarity ⋮ MORE CONSTRUCTIONS OF APPROXIMATELY MUTUALLY UNBIASED BASES ⋮ Hamiltonians of quantum systems with positions and momenta in GF(pℓ)
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