Quantum Logic Gates: Roots, Exponents, and Eigensystems
This Demonstration explores the properties of one-, two-, and three-qubit quantum logic gates.
It is interesting to note that fundamental properties of the Hadamard operator can be expressed in a neat form, using trigonometric functions of the angle . Its eigenvectors and eigenvalues are . A Hadamard gate can be represented in exponential form as and its square root takes the form . Here and .