Quantum circuit for three-qubit random states

TL;DR

This paper presents an explicit quantum circuit design that efficiently generates random three-qubit states, with a detailed parameter distribution analysis, advancing quantum state preparation techniques.

Contribution

The paper introduces a specific quantum circuit for three-qubit random states and derives the distribution of its parameters, providing a precise method for state generation.

Findings

Circuit uses three CNOT gates and fifteen rotations.

Angles' distribution is mostly independent, with four exceptions.

Exact generation of random three-qubit states achieved.

Abstract

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.