Quantum Logic Gates: Roots, Exponents, and Eigensystems

This Demonstration explores the properties of one-, two-, and three-qubit quantum logic gates.


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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 .
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