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 20
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
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- mathematical foundations of quantum computing
- quantum algorithms
- quantum error correction
- quantum complexity theory
- quantum networks
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
