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Recent Advances and Challenges in Quantum Cellular Automata

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: 30 September 2024 | Viewed by 66

Special Issue Editor


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Guest Editor
Electrical and Computer Engineering, Computer Science, and Physics & Astronomy, University of Southern California, Los Angeles, CA 90089, USA
Interests: quantum theory; quantum computation; quantum information; quantum error correction; open quantum systems

Special Issue Information

Dear Colleagues,

Quantum walks and quantum cellular automata are discrete, idealized quantum systems that can illuminate important questions in quantum physics and quantum computation. Quantum walks are unitary analogs of classical random walks and have been extensively studied both as elements of quantum algorithms and also as fascinating systems in their own right. For example, it has been shown that quantum walks exhibit wavelike solutions that can recover relativistic wave equations in the long-wavelength limit. Quantum cellular automata, in which many identical quantum systems evolve in discrete steps by local unitary transformations, are important for quantum algorithms and as computational models, but can also act as second-quantized versions of quantum walks or as discrete quantum fields.

These relatively simple models can exhibit a wide range of nontrivial behavior. They can be the basis for quantum algorithms, such as simulations of quantum field theories, but can also directly touch on fundamental properties of quantum systems, such as entanglement, locality, entropy, bosonic and fermionic statistics, and fundamental and effective symmetries. With the development of ever-larger and more capable quantum computers, they also open up new realms for the computational treatment of quantum systems.

This Special Issue will accept unpublished original papers and comprehensive reviews that focus on (but not restricted to) the following research areas:

  • General properties of quantum cellular automata and quantum walks;
  • Quantum cellular automata as discrete models of fundamental physics, relativistic quantum mechanics, and quantum field theory;
  • Fermionic and bosonic quantum cellular automata;
  • Quantum cellular automata as models of quantum computation;
  • Quantum algorithms based on quantum cellular automata and quantum walks;
  • Implementation of quantum cellular automata on near- and long-term quantum computers;
  • Symmetry in quantum walks and quantum cellular automata;
  • Thermodynamics and entropy of quantum cellular automata.

Prof. Dr. Todd Brun
Guest Editor

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. Entropy 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 2600 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

  • quantum cellular automata
  • quantum walks
  • discrete quantum models
  • quantum computation
  • quantum simulation
  • quantum field theory

Published Papers

This special issue is now open for submission.
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