Superunsteerability is a particular kind of spatial quantum correlation that can be observed in steering scenario the presence limited shared randomness. In this work, we define an experimentally measurable quantity to certify superunsteerability. context certification randomness with scenario, demonstrate such superunsteerability provides bound on amount genuine generation. On other hand, supe...

We examine the ground state of the random quantum Ising model in a transverse field using a generalization of the Ma-Dasgupta-Hu renormalization group ~RG! scheme. For spatial dimensionality d52, we find that at strong randomness the RG flow for the quantum critical point is towards an infinite-randomness fixed point, as in one dimension. This is consistent with the results of a recent quantum ...

Abstract In 1909 Borel defined normality as a notion of randomness the digits representation real number over certain base (fractional expansion). If we think an infinite sequence symbols from finite alphabet A , can define directly for words : word x is normal to if every block appears with same asymptotic frequency in other length. Many examples have been found since its definition, being Cha...

Two fundamentally different sources o f randomness exist on which design and inference in spatial sampling can be based: (a) variation that wouM occur on resampling the same spatial population with other sampling configurations generated by the same design, and (b) variation occurring on sampling other populations, hypothetically generated by the same spatial model, using the same sampling conf...

The coded aperture snapshot spectral imaging (CASSI) architecture has been employed widely for capturing hyperspectral video. Despite allowing concurrent capture of hyperspectral video, spatial modulation in CASSI sacrifices image resolution significantly while reconstructing spectral projection via sparse sampling. Several multiview alternatives have been proposed to handle this low spatial re...

The nervous system is a complex, highly-ordered, integrated network of cells. Dispersed cultures of neurons enable investigations into intrinsic cellular functions without the complexities inherent in the intact nervous system. This culture process generates a homogeneously dispersed population that is assumed to be spatially random. Despite the vast number of studies utilizing dispersed neuron...

We analyze complexity in spatial network ensembles through the lens of graph entropy. Mathematically, we model a spatial network as a soft random geometric graph, i.e., a graph with two sources of randomness, namely nodes located randomly in space and links formed independently between pairs of nodes with probability given by a specified function (the “pair connection function”) of their mutual...