  Entangled states, such as the Bell and GHZ states, are generated from
separable states using matrices known to satisfy the Yang-Baxter equation and
its generalization. This remarkable fact hints at the possibility of using
braiding operators as quantum entanglers, and is part of a larger speculated
connection between topological and quantum entanglement. We push the analysis
of this connection forward, by showing that supersymmetry algebras can be used
to construct large families of solutions of the spectral parameter-dependent
generalized Yang-Baxter equation. We present a number of explicit examples and
outline a general algorithm for arbitrary numbers of qubits. The operators we
obtain produce, in turn, all the entangled states in a multi-qubit system
classified by the Stochastic Local Operations and Classical Communication
protocol introduced in quantum information theory.
