Groups, Geometry and Topology for Quantum Computations

Dear Colleagues,

In recent work pertaining to digital quantum computations—the quantum parallel to classical computations—algebraic concepts are being introduced as a resource. This goes from an extensive use of group theory (finite groups such as Paulis and Cliffords, free groups with relations, group covariance in generalized quantum measurements, etc.), of geometry (e.g., finite geometries for modeling quantum commutation, entanglement, and contextuality) and of topology for adapting quantum error correction to nonlocality. Further, topological order and braids are being investigated for quantum computing in 2D (in anyons) and in 3D (with 3-manifolds).

We welcome papers in the aforementioned and related areas.

Prof. Dr. Michel Planat
Guest Editor

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