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Self-testing quantum states and measurements in the prepare-and-measure scenario

Kaniewski, Jędrzej
Published in Physical Review. A. 2018, vol. 98, no. 062307
Abstract The goal of self-testing is to characterize an a priori unknown quantum system based solely on measurement statistics, i.e. using an uncharacterized measurement device. Here we develop self-testing methods for quantum prepare-and-measure experiments, thus not necessarily relying on entanglement and/or violation of a Bell inequality. We present noise-robust techniques for self-testing sets of quantum states and measurements, assuming an upper bound on the Hilbert space dimension. We discuss in detail the case of a 2→1 random access code with qubits, for which we provide analytically optimal self-tests. The simplicity and noise robustness of our methods should make them directly applicable to experiments.
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TAVAKOLI, Armin et al. Self-testing quantum states and measurements in the prepare-and-measure scenario. In: Physical Review. A, 2018, vol. 98, n° 062307. doi: 10.1103/PhysRevA.98.062307 https://archive-ouverte.unige.ch/unige:127273

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Deposited on : 2019-12-03

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