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A universal set of qubit quantum channels 27 Aug 2013 | 12:19 am
We investigate the set of quantum channels acting on a single qubit. We provide a compact generalization of the Fujiwara-Algoet conditions for complete positivity to non-unital qubit channels, which w...
Almost one bit violation for the additivity of the minimum output entropy 27 Aug 2013 | 12:16 am
In a previous paper, we proved that the limit of the collection of possible eigenvalues of output states of a random quantum channel is a deterministic, compact set K_{k,t}. We also showed that the se...
Area law for random graph states 27 Aug 2013 | 12:10 am
Random pure states of multi-partite quantum systems, associated with arbitrary graphs, are investigated. Each vertex of the graph represents a generic interaction between subsystems, described by a ra...
Analytic aspects of the circulant Hadamard conjecture 27 Aug 2013 | 12:09 am
We investigate the problem of counting the real or complex Hadamard matrices which are circulant, by using analytic methods. Our main observation is the fact that for $|q_0|=...=|q_{N-1}|=1$ the quant...
Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels 27 Aug 2013 | 12:08 am
It is now well-known that, with high probability, the additivity of minimum output entropy does not hold for a pair of a random quantum channel and its complex conjugate. We investigate asymptotic beh...
Almost Hadamard matrices: the case of arbitrary exponents 27 Aug 2013 | 12:04 am
In our previous work, we introduced the following relaxation of the Hadamard property: a square matrix $H\in M_N(\mathbb R)$ is called "almost Hadamard" if $U=H/\sqrt{N}$ is orthogonal, and locally ma...
h-ubu: An Industrial-Strength Service-Oriented Component Framework for JavaScript Applications 26 Aug 2013 | 10:16 pm
In the last years, we developed web applications requiring a large amount of JavaScript code. These web applications present adaptation requirements. In addition to platform-centric adaptation, applic...
Gaussian type bounds for the Neumann-Green function of a general parabolic operator 26 Aug 2013 | 09:41 pm
Based on the fact that the Neumann-Green function can be constructed as a perturbation of the fundamental solution by a single-layer potential, we establish a gaussian lower bound and a gaussian type ...
Propriétés cinématiques des vagues déferlantes sur une plage inclinée / Breaking wave kinematics on sloping beaches 26 Aug 2013 | 07:39 pm
Des mesures de champs de vitesses utilisant la technique de vélocimétrie par image de particules ont été réalisées pour des vagues déferlantes sur une plage inclinée. Le problème dans ce type d'écoule...
Brief Announcement: Waiting in Dynamic Networks 26 Aug 2013 | 07:35 pm
We consider infrastructure-less highly dynamic networks, where connectivity does not necessarily hold, and the network may actually be disconnected at every time instant. These networks are naturally ...