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Efficient realization of quantum primitives for Shor's algorithm using PennyLane library.

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Summary
This summary is machine-generated.

This study introduces a new software package for quantum computing, simplifying quantum algorithm implementation and resource analysis for trapped-ion processors. It enables efficient execution of Shor's algorithm using native quantum gates.

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Area of Science:

  • Quantum Computing
  • Quantum Software Engineering
  • Computational Complexity

Background:

  • Efficient realization of quantum algorithms is crucial for practical quantum computing.
  • Existing software frameworks offer various tools but may lack specific optimizations for hardware.

Purpose of the Study:

  • To present a software package with quantum gate and algorithm implementations using the PennyLane library.
  • To develop and implement a simplified technique for decomposing quantum algorithms into native gates for trapped-ion processors.
  • To analyze the resource requirements for Shor's algorithm on trapped-ion quantum computers.

Main Methods:

  • Implementation of quantum gates and algorithms using the PennyLane library.
  • Development of a simplified decomposition technique for mapping algorithms to native trapped-ion gates.
  • Derivation of coefficients for the gate decomposition.
  • Analysis of resource requirements for Shor's algorithm, including modular exponentiation and quantum Fourier transform.

Main Results:

  • A software package containing quantum gate and algorithm implementations in PennyLane.
  • A novel, simplified technique for decomposing quantum algorithms into native trapped-ion gates.
  • Detailed analysis of resource requirements for Shor's algorithm on trapped-ion hardware.
  • Templates for modular exponentiation and quantum Fourier transform adaptable to user-specified qubit numbers.

Conclusions:

  • The developed software package and decomposition technique facilitate efficient quantum algorithm realization on trapped-ion processors.
  • The resource analysis provides insights into the practical implementation of Shor's algorithm.
  • The provided templates can be integrated into QNode definitions for quantum computation.