\(\ell _1\)-norm in three-qubit quantum entanglement constrained by Yang-Baxter equation

  title={\(\ell \_1\)-norm in three-qubit quantum entanglement constrained by Yang-Baxter equation},
  author={Li-Wei Yu and Mo-Lin Ge},
  journal={Quantum Inf. Process.},
Usually the $\ell_2$-norm plays vital roles in quantum physics, acting as the probability of states. In this paper, we show the important roles of $\ell_1$-norm in Yang-Baxter quantum system, in connection with both the braid matrix and quantum entanglements. Concretely, we choose the 2-body and 3-body S-matrices, constrained by Yang-Baxter equation. It has been shown that for 2-body case, the extreme values of $\ell_1$-norm lead to two types of braid matrices and 2-qubit Bell states. Here we… 


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