SAMOP 2021 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 3: Quantum Information and Foundations I

QI 3.4: Vortrag

Montag, 20. September 2021, 15:15–15:30, H4

Self-testing maximally-dimensional genuinely entangled subspaceswithin the stabilizer formalism — •Owidiusz Makuta and Remigiusz Augusiak — Center for Theoretical Physics, Polish Academy of Sciences, Warsaw, Poland

The main goal of our work is to identify the largest genuinely entangled stabilizer subspaceand to show that such a subspace can be self-tested. To this end, we first introduce a frameworkallowing to efficiently check whether a given stabilizer subspace is genuinely entangled. Building on it, wethen determine the maximal dimension of genuinely entangled subspaces that can be constructed within thestabilizer subspaces and provide an exemplary construction of such maximally-dimensional subspaces for anynumber of qubits. Third, we construct Bell inequalities that are maximally violated by any entangled state fromthose subspaces and thus also any mixed states supported on them, and we show these inequalities to be usefulfor self-testing. Interestingly, our Bell inequalities allow for identification of higher-dimensional face structuresin the boundaries of the sets of quantum correlations in the simplest multipartite Bell scenarios in which everyobserver performs two dichotomic measurements.