Mathematical Foundations of Quantum Computing
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 January 2026 | Viewed by 18
Special Issue Editors
Interests: quantum computing; quanutm information; operator theory
Special Issue Information
Dear Colleagues,
Since John von Neumann established the mathematical foundations of quantum mechanics, modern mathematics has provided a rich and powerful means for understanding and developing quantum computing theory and technology. This Special Issue explores the mathematical foundations of quantum computing, focusing on the theoretical frameworks that support progress in this field. Its scope covers, but is not limited to, quantum algorithms, quantum error correction, quantum complexity theory, quantum networks, and the interplay between quantum information and mathematical disciplines (such as topology, algebra, and functional analysis). The aim is to provide a platform to deepen our understanding of quantum computing through rigorous mathematical contributions, while fostering connections between pure mathematics and applied quantum technology.
This Special Issue will complement existing literature in the following ways:
- Integrating the latest theoretical breakthroughs in quantum computing that are not comprehensively reported in current publications.
- Bridging the gap between abstract mathematical research and practical quantum computing challenges.
- Encouraging interdisciplinary dialogue by emphasizing how advanced mathematical tools (e.g., category theory, representation theory) can advance quantum information science.
By compiling cutting-edge research, this Special Issue aims to be an important reference for mathematicians, physicists, and computer scientists working at the intersection of theory and quantum computing.
Prof. Dr. Kan He
Prof. Dr. Zhihua Guo
Guest Editors
Manuscript Submission Information
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Keywords
- mathematical foundations of quantum computing
- quantum algorithms
- quantum error correction
- quantum complexity theory
- quantum networks
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