13,732 research outputs found
CROSS PRODUCT CENSORING IN A DEMAND SYSTEM WITH LIMITED DEPENDENT VARIABLES: A MULTIVARIATE PROBIT MODEL APPROACH
Demand and Price Analysis,
Relating AdS solutions in type IIB supergravity
In this note we show that the IIB supergravity solutions of the form
AdS found by Apruzzi et al. are related to the local solutions
found by D'Hoker et al. We also discuss how the global regular solutions found
by D'Hoker et al. are mapped to the parameterization of Apruzzi et al.Comment: 22 pages, 10 figure
Error Correction in DNA Computing: Misclassification and Strand Loss
We present a method of transforming an extract-based DNA computation that is error-prone into one that is relatively error-free. These improvements in error rates are achieved without the supposition of any improvements in the reliability of the underlying laboratory techniques. We assume that only two types of errors are possible: a DNA strand may be incorrectly processed or it may be lost entirely. We show to deal with each of these
errors individually and then analyze the tradeoff when both must be optimized simultaneously
Universal entanglement signatures of foliated fracton phases
Fracton models exhibit a variety of exotic properties and lie beyond the
conventional framework of gapped topological order. In a previous work, we
generalized the notion of gapped phase to one of foliated fracton phase by
allowing the addition of layers of gapped two-dimensional resources in the
adiabatic evolution between gapped three-dimensional models. Moreover, we
showed that the X-cube model is a fixed point of one such phase. In this paper,
according to this definition, we look for universal properties of such phases
which remain invariant throughout the entire phase. We propose multi-partite
entanglement quantities, generalizing the proposal of topological entanglement
entropy designed for conventional topological phases. We present arguments for
the universality of these quantities and show that they attain non-zero
constant value in non-trivial foliated fracton phases.Comment: 17 pages, 7 figure
Foliated fracton order in the checkerboard model
In this work, we show that the checkerboard model exhibits the phenomenon of
foliated fracton order. We introduce a renormalization group transformation for
the model that utilizes toric code bilayers as an entanglement resource, and
show how to extend the model to general three-dimensional manifolds.
Furthermore, we use universal properties distilled from the structure of
fractional excitations and ground-state entanglement to characterize the
foliated fracton phase and find that it is the same as two copies of the X-cube
model. Indeed, we demonstrate that the checkerboard model can be transformed
into two copies of the X-cube model via an adiabatic deformation.Comment: 8 pages, 9 figure
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