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Towards Quantum Control with Advanced Quantum Computing: A Perspective.

Yongcheng Ding1,2, Yue Ban3, Xi Chen2,4

  • 1International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, China.

Entropy (Basel, Switzerland)
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Summary
This summary is machine-generated.

We introduce a hybrid quantum-classical approach combining digital quantum simulation and variational quantum algorithms for efficient quantum control problem-solving. This method shows promise for noisy intermediate-scale quantum devices, enabling studies of complex control tasks.

Keywords:
quantum computingquantum controlquantum simulationvariational quantum algorithmvariational quantum circuit

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Area of Science:

  • Quantum Computing
  • Quantum Control Theory
  • Computational Physics

Background:

  • Classical numerical methods struggle with complex quantum dynamics.
  • Digital quantum simulation offers a powerful alternative for simulating quantum systems.
  • Variational quantum algorithms (VQAs) are emerging as a key tool in quantum computation.

Purpose of the Study:

  • To propose and analyze a hybrid quantum-classical framework for quantum control.
  • To leverage digital quantum simulation and VQAs for enhanced efficiency.
  • To assess the feasibility of this approach in the current noisy intermediate-scale quantum (NISQ) era.

Main Methods:

  • Combining digital quantum simulation with variational quantum algorithms.
  • Developing a hybrid quantum-classical framework for quantum dynamics simulation.
  • Analyzing algorithm trainability and performance through preliminary studies.

Main Results:

  • The proposed hybrid approach offers efficient quantum dynamics simulation compared to classical algorithms.
  • Specific quantum control problems, like bang-bang control switching times and quantum annealing schedules, are addressable.
  • The framework demonstrates potential for application even in the NISQ era.

Conclusions:

  • The hybrid quantum-classical approach is a viable and efficient alternative for quantum control.
  • This method can already tackle specific quantum control challenges on current quantum hardware.
  • Further advancements in quantum hardware will significantly enhance the precision and applicability of these algorithms for quantum control.