Answer to Question #148258 in Quantum Mechanics for Alfraid

Question

What is proprties of pauli matrices.

Answer 1

As the trace of a matrix is the sum of its diagonal elements, it’s obvious from their definitions that the pauli matrices are traceless.

$$[\sigma_i,\sigma_j]_+=0\\ [\sigma_x,\sigma_y]=2i\sigma_z\\ \sigma_i^2=I$$