The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
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Mutual information between non-contractible regions on the torus fully classifies long-range nonstabilizerness for toric-code states but leaves a finite subset undetected in the doubled-Fibonacci string-net model.
Geometric study of non-stabilizerness in few-qubit systems via trace distance to the stabilizer polytope, with state sampling, measure comparisons, an analytical expression, facet classification, and a concentration bound linking it to entanglement.
citing papers explorer
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Operational interpretation of the Stabilizer Entropy
The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
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Long-range nonstabilizerness of topologically encoded states from mutual information
Mutual information between non-contractible regions on the torus fully classifies long-range nonstabilizerness for toric-code states but leaves a finite subset undetected in the doubled-Fibonacci string-net model.
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A trace distance-based geometric analysis of the stabilizer polytope for few-qubit systems
Geometric study of non-stabilizerness in few-qubit systems via trace distance to the stabilizer polytope, with state sampling, measure comparisons, an analytical expression, facet classification, and a concentration bound linking it to entanglement.