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: closed (31 January 2025) | Viewed by 2529
Special Issue Editor
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This Special Issue will accept unpublished original papers and comprehensive reviews that focus on (but not restricted to) the following research areas: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
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Keywords
- quantum cellular automata
- quantum walks
- discrete quantum models
- quantum computation
- quantum simulation
- quantum field theory
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