Quantum circuit for three-qubit random states
Olivier Giraud, Marko Žnidarič, Bertrand Georgeot · Physical Review A · 2009
We explicitly construct a quantum circuit, which exactly generates random three-qubit states. The optimal circuit consists of three CNOT gates and fifteen single-qubit elementary rotations, parametrized by fourteen independent angles. The explicit distribution of these angles is derived, showing that the joint distribution is a product of independent distributions of individual angles apart from four angles.