Quantum circuit for three-qubit random states

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.

7 pages, 2 figures

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Cited by in corpus (6)

• Quantum Circuits for Isometries
• Entanglement of three-qubit random pure states
• Introduction to UniversalQCompiler
• Generation of Pseudo-Random Quantum States on Actual Quantum Processors
• A trace distance-based geometric analysis of the stabilizer polytope for few-qubit systems
• Three-Qubit State Preparation: Classification and Explicit Circuits