Quantum Computing Applications
In quantum information processing the Hadamard transformation, more often called Hadamard gate in this context (cf. quantum gate), is a one-qubit rotation, mapping the qubit-basis states and to two superposition states with equal weight of the computational basis states and . Usually the phases are chosen so that we have
in Dirac notation. This corresponds to the transformation matrix
in the basis.
Many quantum algorithms use the Hadamard transform as an initial step, since it maps n qubits initialized with to a superposition of all 2n orthogonal states in the basis with equal weight.
Read more about this topic: Hadamard Transform
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