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the IBMQ has a initialize function to provide input to the quantum circuit. I am not understanding the logic used in the initialization function? Please give me some link related to some useful paper.

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This should be what you are looking for: Arbitrary initialization

Qiskit uses the method proposed in this paper: Synthesis of Quantum Logic Circuits


Other related papers:

  1. Quantum-state preparation with universal gate decompositions

  2. Transformation of quantum states using uniformly controlled rotations

  3. Quantum Circuits for Isometries

  4. Constructive Quantum Shannon Decomposition from Cartan Involutions

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  • $\begingroup$ Thank you @KAJ226 for sharing these papers. $\endgroup$ Feb 9 at 6:01

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