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Prolate Spheroidal Wave Functions
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The article was published on 2017-01-01 and is currently open access. It has received 185 citations till now.read more
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Journal ArticleDOI
MUSIC for single-snapshot spectral estimation: Stability and super-resolution
TL;DR: In this paper, the authors studied the problem of line spectral estimation in the continuum of a bounded interval with one snapshot of array measurement and proposed the MUSIC algorithm to find the null space (the noise space) of the adjoint of the Hankel matrix, forming the noise-space correlation function and identifying the s smallest local minima of the correlation as the frequency set.
Proceedings ArticleDOI
Super-resolution, Extremal Functions and the Condition Number of Vandermonde Matrices
TL;DR: In this paper, a sharp phase transition for the relationship between the cutoff frequency (m) and the separation (Δ) is established, and the estimator converges to the true values at an inverse polynomial rate in terms of the magnitude of the noise.
Journal ArticleDOI
Quantum-secure covert communication on bosonic channels.
Boulat A. Bash,Andrei Gheorghe,Andrei Gheorghe,Andrei Gheorghe,Monika Patel,Jonathan L. Habif,Dennis Goeckel,Don Towsley,Saikat Guha +8 more
TL;DR: This work characterize the ultimate limit of how much data can be reliably and covertly communicated over the lossy thermal-noise bosonic channel (which models various practical communication channels) and shows that whenever there is some channel noise that cannot in principle be controlled by an otherwise arbitrarily powerful adversary, the number of reliably transmissible covert bits is at most proportional to the square number of orthogonal modes available in the transmission interval.
Journal ArticleDOI
Rényi Generalization of the Accessible Entanglement Entropy.
TL;DR: This work derives a generalization of the operationally accessible entanglement that is both computationally and experimentally measurable and investigates its scaling with the size of a spatial subregion for free fermions and finds a logarithmically violated area law scaling, similar to the spatialEntanglement entropy.
Posted Content
The recoverability limit for superresolution via sparsity.
Laurent Demanet,Nam H. Nguyen +1 more
TL;DR: In the presence of additive deterministic noise of norm $\sigma$, upper and lower bounds on the minimax error rate that both scale like $(SRF)^{2k-1} \sigma$ are shown, providing a partial answer to a question posed by Donoho in 1992.
Related Papers (5)
Prolate spheroidal wave functions, fourier analysis and uncertainty — II
David Slepian,H. O. Pollak +1 more