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This study introduces novel quantum algorithms for quantum control, utilizing only single qubit measurements to bypass complex procedures. These methods enhance efficiency and reduce noise in quantum computations.

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Area of Science:

  • Quantum Computing
  • Quantum Control Systems
  • Algorithm Development

Background:

  • Traditional quantum control often requires complex, tomographically complete measurements.
  • Evaluating overlaps and transition matrices is crucial for designing quantum control algorithms.
  • Existing methods can be resource-intensive and susceptible to noise.

Purpose of the Study:

  • To develop primitive algorithms for evaluating overlaps and transition matrix time series.
  • To construct novel quantum-assisted quantum control algorithms using these primitives.
  • To analyze the circuit complexity and noise sources in the proposed algorithms.

Main Methods:

  • Developed two primitive algorithms for time series evaluation.
  • Utilized solely single qubit measurements, avoiding tomographically complete measurements.
  • Analyzed composed algorithm circuit complexity and Trotterization/measurement errors.

Main Results:

  • Successfully constructed several quantum-assisted quantum control algorithms.
  • Demonstrated a method that bypasses the need for tomographically complete measurements.
  • Identified and analyzed noise sources including Trotterization and measurement errors.

Conclusions:

  • The proposed method offers a more efficient approach to quantum control algorithm construction.
  • Reliance on single qubit measurements simplifies experimental requirements.
  • Understanding noise sources is key to optimizing future quantum control strategies.