[2606.29443] Stabilizer entropy is reliable for blended states

View a PDF of the paper titled Stabilizer entropy is reliable for blended states, by Gianluca Esposito and a couple of different authors

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Summary:Quantifying non-stabilizerness in blended states is provably intractable, as any strict monotone requires superexponential time. We suggest a linear Stabilizer Entropy that acts as a correct non-stabilizerness monotone with overwhelming likelihood when restricted to non-adaptive Clifford channels performing on flat blended stabilizer states. Analytical and numerical outcomes for Haar-random states, Clifford orbits, and random matrix product states present that monotonicity violation possibilities decay as $exp-eta N$. We additionally show the validity of Stabilizer Entropy in particular many-body programs present process partial measurements, the place the quantity of useful resource by no means will increase for every measurement consequence in addition to when averaged over consequence possibilities. Given the hardness of strict options, Stabilizer Entropy emerges as a sensible and theoretically justified useful resource measure.