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quant-ph2024
Efficient classical simulation of quantum computation beyond Wigner positivity
Michael Zurel, Arne Heimendahl
We present the generalization of the CNC formalism, based on closed and noncontextual sets of Pauli observables, to the setting of odd-prime-dimensional qudits. By introducing new…
quant-ph2024
Wigner's Theorem for stabilizer states and quantum designs
Valentin Obst, Arne Heimendahl, Tanmay Singal +1
We describe the symmetry group of the stabilizer polytope for any number of systems and any prime local dimension . In the qubit case, the symmetry group coincides with the…
quant-ph2020
Stabilizer extent is not multiplicative
Arne Heimendahl, Felipe Montealegre-Mora, Frank Vallentin +1
The Gottesman-Knill theorem states that a Clifford circuit acting on stabilizer states can be simulated efficiently on a classical computer. Recently, this result has been generali…