Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing

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We assume implicitly that Alice’s observables are of the form A x ⊗ 𝕀 A_{x}\otimes{\mathbb{I}} and those of Bob of the form 𝕀 ⊗ B y {\mathbb{I}}\otimes B_{y}
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