Device-independent characterization of quantum instruments

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.

arXiv comment8+4 pages, 5+1 figures

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Cited by in corpus (24)

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• A weak form of self-testing
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• Custom Bell inequalities from formal sums of squares
• Quantum correlations on the no-signaling boundary: self-testing and more
• Certifying sets of quantum observables with any full-rank state
• Towards the device-independent certification of a quantum memory
• Naturally restricted subsets of nonsignaling correlations: typicality and convergence
• Self-testing two-qubit maximally entangled states from generalized CHSH tests
• Characterizing quantum instruments: from non-demolition measurements to quantum error correction
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• Certifying high-dimensional quantum channels
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• Trading symmetry for Hilbert-space dimension in Bell-inequality violation
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• Robust self-testing and certified randomness based on chained Bell inequality