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Performance evaluation of quantum Fourier transform on a modern quantum device

Sven Anderzén Rodenkirchen, Marcus Granström

Published Jan 1, 2018• 0 citations
OpenAlex

Abstract

Quantum computing has in the last decades gone from a purely theoretical concept to being implemented on actual devices in the real world. However, one of the major challenges of quantum computing ...

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The fast Fourier transform (FFT) is the unsung digital workhorse of modern life.It's a clever mathematical shortcut that makes possible the many signals in our device-connected world.Every minute of every video stream, for instance, entails computing some hundreds of FFTs.The FFT's importance to practically every data-processing application in the digital age explains why some researchers have begun exploring how quantum computing can run the FFT algorithm more efficiently still."The fast Fourier transform is an important algorithm that's had lots of applications in the classical world," says Ian Walmsley, physicist at Imperial College London."It also has many applications in the quantum domain.[So] it's important to figure out effective ways to be able to implement it."The first proposed killer app for quantum computers-finding a number's prime factors-was discovered by mathematician Peter Shor at AT&T Bell Laboratories in 1994.Shor's algorithm scales up its factorization of numbers more efficiently and rapidly than any classical computer anyone could ever design.And at the heart of Shor's phenomenal quantum engine is a subroutine called-you guessed it-the quantum Fourier transform (QFT).Here is where the terminology gets a little out of hand.There is the QFT at the center of Shor's algorithm, and then there is the QFFT-the quantum fast Fourier transform.They represent different calculations that produce different results, although both are based on the same core mathematical concept, known as the discrete Fourier transform.

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Q-BEAST: A Practical Course on Experimental Evaluation and Characterization of Quantum Computing Systems

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Quantum computing (QC) promises to be a transformative technology with impact on various application domains, such as optimization, cryptography, and material science. However, the technology has a sharp learning curve, and practical evaluation and characterization of quantum systems remains complex and challenging, particularly for students and newcomers from computer science to the field of quantum computing. To address this educational gap, we introduce Q-BEAST, a practical course designed to provide structured training in the experimental analysis of quantum computing systems. Q-BEAST offers a curriculum that combines foundational concepts in quantum computing with practical methodologies and use cases for benchmarking and performance evaluation on actual quantum systems. Through theoretical instruction and handson experimentation, students gain experience in assessing the advantages and limitations of real quantum technologies. With that, Q-BEAST supports the education of a future generation of quantum computing users and developers. Furthermore, it also explicitly promotes a deeper integration of High Performance Computing (HPC) and QC in research and education.

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Information processing with electronic devices has been the core of the development of technology for the last 60 years, having improvements, new applications, and advances year by year. With this search for new and more advanced ways to process information, a new concept appeared 40 years ago: Quantum computing, which has ceased to be just a concept and has become a reality in recent years, opening the door to new applications, implementations, algorithms, and methods for the development of new and more advanced technologies, with Quantum information science at the core. Quantum machine learning is one of these new fields of study that investigates the interaction of concepts from quantum computation and machine learning. The paradigm of quantum computing and artificial intelligence has been growing steadily in recent years and given the potential of this technology by recognizing the com- puter as a physical system that can take advantage of quantum mechanics for solving problems faster, more efficiently, and accurately, in this work, we present three imple- mentations of applied quantum machine learning: in parallel quantum computation to evaluate the speed-ups of quantum models, in cybersecurity systems for intrusion detection and the implementation of the algorithm quantum Fourier transform for quantum machine learning tasks. The results not only show how successfully quan- tum machine learning can solve current problems but also, progress on how these systems can significantly improve their performance, to achieve Quantum advantage over classical systems. All the experiments presented in this work were executed either on a Quantum simulator or real Quantum Hardware accessible from the plat- forms and frameworks from IBM Quantum, Amazon Web Services, and Xanadu Quantum Technologies Inc.
The fast Fourier transform (FFT) is the unsung digital workhorse of modern life.It's a clever mathematical shortcut that makes possible the many signals in our device-connected world.Every minute of every video stream, for instance, entails computing some hundreds of FFTs.The FFT's importance to practically every data-processing application in the digital age explains why some researchers have begun exploring how quantum computing can run the FFT algorithm more efficiently still."The fast Fourier transform is an important algorithm that's had lots of applications in the classical world," says Ian Walmsley, physicist at Imperial College London."It also has many applications in the quantum domain.[So] it's important to figure out effective ways to be able to implement it."The first proposed killer app for quantum computers-finding a number's prime factors-was discovered by mathematician Peter Shor at AT&T Bell Laboratories in 1994.Shor's algorithm scales up its factorization of numbers more efficiently and rapidly than any classical computer anyone could ever design.And at the heart of Shor's phenomenal quantum engine is a subroutine called-you guessed it-the quantum Fourier transform (QFT).Here is where the terminology gets a little out of hand.There is the QFT at the center of Shor's algorithm, and then there is the QFFT-the quantum fast Fourier transform.They represent different calculations that produce different results, although both are based on the same core mathematical concept, known as the discrete Fourier transform.
Quantum computing (QC) promises to be a transformative technology with impact on various application domains, such as optimization, cryptography, and material science. However, the technology has a sharp learning curve, and practical evaluation and characterization of quantum systems remains complex and challenging, particularly for students and newcomers from computer science to the field of quantum computing. To address this educational gap, we introduce Q-BEAST, a practical course designed to provide structured training in the experimental analysis of quantum computing systems. Q-BEAST offers a curriculum that combines foundational concepts in quantum computing with practical methodologies and use cases for benchmarking and performance evaluation on actual quantum systems. Through theoretical instruction and handson experimentation, students gain experience in assessing the advantages and limitations of real quantum technologies. With that, Q-BEAST supports the education of a future generation of quantum computing users and developers. Furthermore, it also explicitly promotes a deeper integration of High Performance Computing (HPC) and QC in research and education.