Machine Learning and Quantum Computing

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".

Deadline for manuscript submissions: closed (30 November 2024) | Viewed by 6804

Special Issue Editor


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Guest Editor
School of Computing, Australian National University, Acton 2601, Australia
Interests: categorical duality theory; foundations of mathematics; physics and informatics; artificial intelligence and machine learning; quantum physics and quantum computing

Special Issue Information

Dear Colleagues,

Machine learning and quantum computing are transforming the world. That said, their mathematical foundations still remain unclear despite their engineering success, and fundamental questions remain unanswered. For example, why are specific types of neural networks effective for specific types of data? Transformers and CNNs are often used for text and image data, respectively, but is there any mathematical rationale for doing so? It is broadly agreed that quantum contextuality and non-locality are useful resources for quantum computing. However, what fundamental principle exactly allows us to characterise quantum contextually and non-locality is still debated. Some information–physical and other principles have been proposed, but there has been no clear agreement so far.

The aim of this Special Issue is to shed light on foundational issues in machine learning and quantum computing and explore the space of potential solutions to them. Any papers addressing any foundational aspect of machine learning or quantum computing are more than welcome for the Special Issue. Proposed solutions do not have to be complete solutions as long as they address fundamental questions, and we welcome speculative papers that might contribute to pinning down the truth in the future. We hope that theoretical foundational research helps us better understand their underlying principles and thereby contributes to further innovation in engineering applications as well as scientific understanding.

Dr. Yoshihiro Maruyama
Guest Editor

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Keywords

  • machine learning
  • quantum computing
  • category theory
  • quantum foundations
  • artificial general intelligence

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Published Papers (1 paper)

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Review

32 pages, 636 KiB  
Review
Quantum Machine Learning: Exploring the Role of Data Encoding Techniques, Challenges, and Future Directions
by Deepak Ranga, Aryan Rana, Sunil Prajapat, Pankaj Kumar, Kranti Kumar and Athanasios V. Vasilakos
Mathematics 2024, 12(21), 3318; https://doi.org/10.3390/math12213318 - 23 Oct 2024
Cited by 9 | Viewed by 6188
Abstract
Quantum computing and machine learning (ML) have received significant developments which have set the stage for the next frontier of creative work and usefulness. This paper aims at reviewing various data-encoding techniques in Quantum Machine Learning (QML) while highlighting their significance in transforming [...] Read more.
Quantum computing and machine learning (ML) have received significant developments which have set the stage for the next frontier of creative work and usefulness. This paper aims at reviewing various data-encoding techniques in Quantum Machine Learning (QML) while highlighting their significance in transforming classical data into quantum systems. We analyze basis, amplitude, angle, and other high-level encodings in depth to demonstrate how various strategies affect encoding improvements in quantum algorithms. However, they identify major problems with encoding in the framework of QML, including scalability, computational burden, and noise. Future directions for research outline these challenges, aiming to enhance the excellence of encoding techniques in the constantly evolving quantum technology setting. This review shall enable the researcher to gain an enhanced understanding of data encoding in QML, and it also suggests solutions to the current limitations in this area. Full article
(This article belongs to the Special Issue Machine Learning and Quantum Computing)
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