Dear Colleagues,

Wigner’s “unreasonable effectiveness of mathematics” applies to foundational problems in quantum information theory (QIT) and the puzzles of quantum mechanics (EPR, Kochen-Specker, Schr¨odinger’s cat). Advanced mathematical concepts such as finite simple groups and the related finite geometries, algebraic combinatorics, number theory, the modularity theorem and operator algebras have been shown to play a significant role in QIT. Finding efficient quantum codes and algorithms, modeling quantum communication channels, generalized quantum measurements (POVMs) and the representation of quantum computing are some instances of the usefulness of mathematics in quantum physics. Finally quantum-like cognition and the quantum mind are valid concepts pertaining to the boundary of mathematics and the human mind that needs further study.

The Guest Editor solicits papers dealing with these challenging questions in the language of mathematics.

Prof. Dr. Michel Planat
Guest Editor

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• Quantum information theory (QIT)
• Foundations of quantum mechanics
• Quantum entanglement
• Quantum contextuality
• Quantum channels
• Quantum codes
• Quantum computing
• Quantum cognition
• Informationally complete POVMs
• Phase space methods
• Quantum probability
• Group theory
• Number theory
• Operator algebras