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Device-independent characterization of quantum instruments

2018/12/31 by Sebastian Wagner, Jean-Daniel Bancal, Nicolas Sangouard +1 · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.22331/q-2020-03-19-243

published as Quantum 4, 243 (2020) · 8+4 pages, 5+1 figures

arxiv created 2020/03/16 · arxiv updated 2020/03/20

Abstract

Among certification techniques, those based on the violation of Bell inequalities are appealing because they do not require assumptions on the underlying Hilbert space dimension and on the accuracy of calibration methods. Such device-independent techniques have been proposed to certify the quality of entangled states, unitary operations, projective measurements following von Neumann's model and rank-one positive-operator-valued measures (POVM). Here, we show that they can be extended to the characterization of quantum instruments with post-measurement states that are not fully determined by the Kraus operators but also depend on input states. We provide concrete certification recipes that are robust to noise.

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