UniformlyControlledRz

Uniformly controlled Rz gate as introduced in arXiv:quant-ph/0312218.

This is an n-qubit gate. There are n-1 control qubits and one target qubit. This gate applies Rz(angles(k)) to the target qubit if the n-1 control qubits are in the classical state k. As there are 2^(n-1) classical states for the control qubits, this gate requires 2^(n-1) (potentially different) angle parameters.

Example: .. code-block:: python

controls = eng.allocate_qureg(2) target = eng.allocate_qubit() UniformlyControlledRz(angles=[0.1, 0.2, 0.3, 0.4]) | (controls, target)

Note: The first quantum register are the contains qubits. When converting the classical state k of the control qubits to an integer, we define controls[0] to be the least significant (qu)bit. controls can also be an empty list in which case the gate corresponds to an Rz.

Args: angles(list[float]): Rotation angles. Rz(angles[k]) is applied conditioned on the control qubits being in state k.