A Closed-Form Parameter Determination Method for Quantum State Preparation Circuit

Designing a quantum circuit that prepares userspecific states is a fundamental task in quantum computation. This involves loading user-provided data into the initial superposition state of a quantum register, enabling further processing by quantum algorithms. To address this state preparation problem, a quantum circuit utilizing rotation Y gates and controlled rotation Y gates has been previously proposed. However, the method for determining the rotation angles of these Y gates has not been detailed. This paper introduces a closed-form method for computing these angle parameters based on user-provided data. Numerical examples demonstrate the ease of use of the proposed method, which is implemented using IBM’s quantum information software kit (Qiskit). Additionally, real-world feature data from iris flowers is used to show that the feature data can be accurately loaded into the quantum register, facilitating tasks such as machine learning, dimensionality reduction, or pattern recognition through quantum computation.