Deterministic sensing matrices arising from near orthogonal systems
Compressed sensing is a novel sampling theory, which provides a fundamentally new
approach to data acquisition. It asserts that a sparse or compressible signal can be …
approach to data acquisition. It asserts that a sparse or compressible signal can be …
Compressed sensing matrices from Fourier matrices
The class of Fourier matrices is of special importance in compressed sensing (CS). This
paper concerns deterministic construction of CS matrices from Fourier matrices. Using …
paper concerns deterministic construction of CS matrices from Fourier matrices. Using …
Almost Perfect mutually unbiased bases that are sparse
Selected ideas of statistical designs are exploited in this paper in constructions related to
Mutually Unbiased Bases (MUBs). In dimension d, MUBs are a collection of orthonormal …
Mutually Unbiased Bases (MUBs). In dimension d, MUBs are a collection of orthonormal …
Bell inequality violations with random mutually unbiased bases
We examine the problem of exhibiting Bell nonlocality for a two-qudit entangled pure state
using a randomly chosen set of mutually unbiased bases (MUBs). Interestingly, even if we …
using a randomly chosen set of mutually unbiased bases (MUBs). Interestingly, even if we …
Resolvable block designs in construction of approximate real MUBs that are sparse
Abstract Several constructions of Mutually Unbiased Bases (MUBs) borrow tools from
combinatorial objects. In this paper we focus on how one can construct Approximate Real …
combinatorial objects. In this paper we focus on how one can construct Approximate Real …
Algorithms for change detection with sparse signals
A Jain, P Sarvepalli, S Bhashyam… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
We consider the change detection problem where the pre-change observation vectors are
purely noise and the post-change observation vectors are noise-corrupted compressive …
purely noise and the post-change observation vectors are noise-corrupted compressive …
Novel AMUB Sequences for Massive Connection IIoT Systems
In this study, we design novel approximately mutually unbiased bases (AMUB) sequences
with arbitrary lengths and large family sizes for massive connection systems. Sequences …
with arbitrary lengths and large family sizes for massive connection systems. Sequences …
Further Constructions of AMUBs for Non-prime power Composite Dimensions
Construction of a large class of Mutually Unbiased Bases (MUBs) for non-prime power
composite dimensions ($ d= k\times s $) is a long standing open problem, which leads to …
composite dimensions ($ d= k\times s $) is a long standing open problem, which leads to …
On approximate real mutually unbiased bases in square dimension
Abstract Construction of Mutually Unbiased Bases (MUBs) is a very challenging
combinatorial problem in quantum information theory with several long standing open …
combinatorial problem in quantum information theory with several long standing open …
Complementarity in quantum walks
The eigenbases of two quantum observables, $\{| a_i\rangle\} _ {i= 1}^ D $ and $\{|
b_j\rangle\} _ {j= 1}^ D $, form mutually unbiased bases (MUB) if $|\langle a_i| b_j\rangle …
b_j\rangle\} _ {j= 1}^ D $, form mutually unbiased bases (MUB) if $|\langle a_i| b_j\rangle …