From the course: Quantum Computing Fundamentals

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Parameterized rotation gates

Parameterized rotation gates

From the course: Quantum Computing Fundamentals

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Parameterized rotation gates

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- The family of S and T gates, the Hadamard gate and the Pauli X, Y, and Z gates, let us rotate qubits by common fixed amounts. We can do a lot with those gates, but there's still a lot of Bloch sphere we haven't visited yet. What if we want to put this qubit into a super position between the z and y-axes? - Easy; to get there, we can use a parameterized rotation operator. These parameterized gates let us rotate our qubit state by an arbitrary number of degrees or radians around one of the three major axes. They're symbolically represented in quantum circuit diagrams as Rx, Ry, and Rz blocks which indicate the number of radians for rotation. - So with a qubit starting in the zero state, if we apply the Rx gate to rotate it by pi over four radians, which is 45 degrees, that rotates the qubit around the x-axis transitioning it to a state halfway between cat zero and the negative side of the y-axis. - Exactly, and if…

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