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Information processing using a single dynamical node as complex system
Novel methods for information processing are highly desired in our information-driven society. Inspired by the brain's ability to process information, the recently introduced paradigm known asExpand
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Random numbers certified by Bell’s theorem
Randomness is a fundamental feature of nature and a valuable resource for applications ranging from cryptography and gambling to numerical simulation of physical and biological systems. RandomExpand
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Device-independent quantum key distribution secure against collective attacks
Device-independent quantum key distribution (DIQKD) represents a relaxation of the security assumptions made in usual quantum key distribution (QKD). As in usual QKD, the security of DIQKD followsExpand
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Device-independent security of quantum cryptography against collective attacks.
We present the optimal collective attack on a quantum key distribution protocol in the "device-independent" security scenario, where no assumptions are made about the way the quantum key distributionExpand
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Optimality of the genetic code with respect to protein stability and amino-acid frequencies
BackgroundThe genetic code is known to be efficient in limiting the effect of mistranslation errors. A misread codon often codes for the same amino acid or one with similar biochemical properties, soExpand
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Nonlocal correlations as an information-theoretic resource
It is well known that measurements performed on spatially separated entangled quantum systems can give rise to correlations that are nonlocal, in the sense that a Bell inequality is violated. TheyExpand
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Information Processing Capacity of Dynamical Systems
Many dynamical systems, both natural and artificial, are stimulated by time dependent external signals, somehow processing the information contained therein. We demonstrate how to quantify theExpand
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Bell inequalities for arbitrarily high-dimensional systems.
We develop a novel approach to Bell inequalities based on a constraint that the correlations exhibited by local variable theories must satisfy. This is used to construct a family of Bell inequalitiesExpand
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Optoelectronic Reservoir Computing
Reservoir computing is a recently introduced, highly efficient bio-inspired approach for processing time dependent data. The basic scheme of reservoir computing consists of a non linear recurrentExpand
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Linear vs. semidefinite extended formulations: exponential separation and strong lower bounds
We solve a 20-year old problem posed by Yannakakis and prove that there exists no polynomial-size linear program (LP) whose associated polytope projects to the traveling salesman polytope, even ifExpand
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