# Quantum computation and measurements from an exotic space-time R4

22 Jan 2020 Planat Michel Aschheim Raymond Amaral Marcelo. M. Irwin Klee

The authors previously found a model of universal quantum computation by making use of the coset structure of subgroups of a free group $G$ with relations. A valid subgroup $H$ of index $d$ in $G$ leads to a 'magic' state $\left|\psi\right\rangle$ in $d$-dimensional Hilbert space that encodes a minimal informationally complete quantum measurement (or MIC), possibly carrying a finite 'contextual' geometry... (read more)

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• GEOMETRIC TOPOLOGY
• QUANTUM PHYSICS