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Optimizing quantum cloning circuit parameters based on adaptive guided differential evolution algorithm.

Essam H Houssein1, Mohamed A Mahdy2, Manal G Eldin3

  • 1Faculty of Computers and Information, Minia University, Minia, Egypt.

Journal of Advanced Research
|April 12, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces the Adaptive Guided Differential Evolution (AGDE) algorithm to improve approximate quantum state cloning fidelity. AGDE significantly enhances cloning accuracy, outperforming other meta-heuristic algorithms in extensive experiments.

Keywords:
AGDEAdaptive guided differential evolutionCloned qubitsCloning fidelityMeta-heuristicsQuantum cloning

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Area of Science:

  • Quantum Information Science
  • Computational Physics
  • Optimization Algorithms

Background:

  • The no-go theorem initially prohibited exact quantum state cloning.
  • Approximate quantum state cloning is achievable but limited by errors.
  • Optimizing cloning circuit parameters is crucial for enhancing fidelity.

Purpose of the Study:

  • To apply the Adaptive Guided Differential Evolution (AGDE) meta-heuristic algorithm for the first time to optimize quantum cloning circuit parameters.
  • To enhance the fidelity of approximate quantum state cloning.
  • To evaluate AGDE's performance against established meta-heuristic algorithms.

Main Methods:

  • Utilizing the Adaptive Guided Differential Evolution (AGDE) algorithm to tune quantum cloning circuit parameters.
  • Conducting extensive experiments to compare AGDE with algorithms like ELSHADE-SPACMA, PaDE, IMODE, PALM, QUATRE, PSO, GSA, CS, BA, GWO, and WOA.
  • Analyzing qualitative and quantitative measurements, including average, standard deviation, and convergence curves over 30 independent runs.

Main Results:

  • The AGDE algorithm successfully minimized the quantum cloning difference error.
  • Achieved a significant improvement in quantum cloning fidelity.
  • Demonstrated superior performance compared to all tested meta-heuristic algorithms.

Conclusions:

  • The Adaptive Guided Differential Evolution (AGDE) algorithm is highly effective for enhancing quantum cloning fidelity.
  • AGDE provides a robust and superior method for optimizing quantum cloning circuits.
  • Experimental results validate the superiority of AGDE in improving approximate quantum state cloning accuracy.