The ℓ₁-norm in quantum information via the approach of Yang-Baxter Equation
Niu, Kai · Xue, Kang · Zhao, Qing · Ge, Mo-Lin
الأصل · EN
The role of ℓ₁-norm in Quantum Mechanics (QM) has been studied through Wigner's D-functions where ℓ₁-norm means ∑ᵢ|Cᵢ| for |Ψ =∑ᵢCᵢ|ψᵢ if |ψᵢ are uni-orthogonal and normalized basis. It was shown that the present two types of transformation matrix acting on the natural basis in physics consist in an unified braiding matrix, which can be viewed as a particular solution of the Yang-Baxter equation (YBE). The maximum of the ℓ₁-norm is connected with the maximally entangled states and topological quantum field theory (TQFT) with two-component anyons while the minimum leads to the permutation for fermions or bosons.
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