Device-independent tests of entropy.
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This work considers a prepare-and-measure scenario with classical or quantum communication, and develops two different methods for placing lower bounds on the communication entropy, given observable data, based on the framework of causal inference networks.Abstract:
We show that the entropy of a message can be tested in a device-independent way. Specifically, we consider a prepare-and-measure scenario with classical or quantum communication, and develop two different methods for placing lower bounds on the communication entropy, given observable data. The first method is based on the framework of causal inference networks. The second technique, based on convex optimization, shows that quantum communication provides an advantage over classical communication, in the sense of requiring a lower entropy to reproduce given data. These ideas may serve as a basis for novel applications in device-independent quantum information processing.read more
Citations
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Self-testing quantum states and measurements in the prepare-and-measure scenario
TL;DR: Self-testing methods for quantum prepare-and-measure experiments, thus not necessarily relying on entanglement and/or violation of a Bell inequality are developed, assuming an upper bound on the Hilbert space dimension.
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Semi-device-independent framework based on natural physical assumptions
TL;DR: The existence of quantum correlations exceeding the set of classical correlations that can be produced by devices behaving in a purely pre-determined fashion is uncovered and suggests immediate applications to certified randomness generation.
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Towards Device-Independent Information Processing on General Quantum Networks.
TL;DR: The violation of recently derived polynomial Bell inequalities will be shown to allow for device independence on multisource networks, secure against nonsignaling eavesdroppers.
Journal ArticleDOI
Semi-device-independent framework based on natural physical assumptions
TL;DR: In this paper, the authors proposed a semi-device-independent approach for prepare-and-measure quantum protocols using devices whose behavior must not be characterized nor trusted, except for a single assumption on the dimension of the Hilbert space characterizing the quantum carriers.
Journal ArticleDOI
Self-testing nonprojective quantum measurements in prepare-and-measure experiments
TL;DR: In this article, the authors theoretically and experimentally investigate self-testing of non-projective quantum measurements and show that their experimental data imply that the implemented measurements are very close to certain ideal three and four-outcome qubit POVMs and hence nonprojective.
References
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Causality: models, reasoning, and inference
TL;DR: The art and science of cause and effect have been studied in the social sciences for a long time as mentioned in this paper, see, e.g., the theory of inferred causation, causal diagrams and the identification of causal effects.
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Device-independent security of quantum cryptography against collective attacks.
TL;DR: The main result is a tight bound on the Holevo information between one of the authorized parties and the eavesdropper, as a function of the amount of violation of a Bell-type inequality.
Journal ArticleDOI
Random numbers certified by Bell's theorem.
Stefano Pironio,Stefano Pironio,Antonio Acín,Serge Massar,A. Boyer de la Giroday,Dzmitry Matsukevich,Peter Maunz,Steven Olmschenk,David Hayes,Le Luo,T. A. Manning,Christopher Monroe +11 more
TL;DR: It is shown that the non-local correlations of entangled quantum particles can be used to certify the presence of genuine randomness, and it is thereby possible to design a cryptographically secure random number generator that does not require any assumption about the internal working of the device.
Journal ArticleDOI
Information processing in generalized probabilistic theories
TL;DR: A framework in which a variety of probabilistic theories can be defined, including classical and quantum theories, and many others, is introduced, and a tensor product rule for combining separate systems can be derived.