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Quantum Logic Gates: Roots, Exponents, and Eigensystems

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

Contributed by: Rudolf Muradian (December 2009)
Open content licensed under CC BY-NC-SA

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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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