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Einstein-Podolsky-Rosen steering is a form of quantum nonlocality which isweaker than Bell nonlocality, but stronger than entanglement. Here we present amethod to check Einstein-Podolsky-Rosen steering in the scenario where thesteering party performs two black-box measurements and the trusted partyperforms projective qubit measurements corresponding to two arbitrary mutuallyunbiased bases. This method is based on decomposing the measurementcorrelations in terms of extremal boxes of the steering scenario. In thiscontext, we propose a measure of steerability called steering cost. We showthat our steering cost is a convex steering monotone. We illustrate our methodto check steerability with two families of measurement correlations and findout their steering cost.

Cost of Einstein-Podolsky-Rosen steering in the context of extremal boxes