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Efficient realization of quantum primitives for Shor's algorithm using PennyLane library
A V Antipov1,2, E O Kiktenko1,2, A K Fedorov1,2
1Russian Quantum Center, Skolkovo, Moscow, Russia.
Plos One
|July 14, 2022
Summary
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.
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.
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