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We study the commutation structure within the Pauli groups built on all decompositions of a given Hilbert space dimension q, containing a square, into its factors.
Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?
Pauli graphs Hilbert space dimension
2010/12/9
We study the commutation relations within the Pauli groups built on all decompositions of a given Hilbert space dimension q, containing a square, into its factors.
For x > 0, let Γ(x) be the Euler’s gamma function, and ψ(x) = Γ(x)/Γ(x) the psi function. In this paper, we prove that |ψ(n)(b) −ψ(n)(a)| < (b − L(a, b))|ψ(n+1)(b)| + (L(a, b) − a)|...