A Phase-Space Geometric Measure of Magic in Qubit Systems
The study investigates 'magic,' a resource for quantum advantage beyond stabilizer circuits, by measuring its geometric distance using the $\ell_1$ metric between discrete Wigner functions and stabilizer Wigner functions. It finds exact geometries for single qubits and derives bounds for tensor products, revealing a tetrahedral dichotomy governing superadditivity and linking the measure to logical Pauli operators in quantum error correction.