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The lattice of trumping majorization for 4D probability vectors and 2D catalysts
(Nature Publishing Group, 2018-12)
The transformation of an initial bipartite pure state into a target one by means of local operations and classical communication and entangled-assisted by a catalyst defines a partial order between probability vectors. ...
Extremal elements of a sublattice of the majorization lattice and approximate majorization
(IOP Publishing, 2020-04)
Given a probability vector x with its components sorted in non-increasing order, we consider the closed ball B p ǫ (x) with p > 1 formed by the probability vectors whose ℓ p -norm distance to the center x is less than or ...
Optimal common resource in majorization-based resource theories
(IOP Publishing, 2019-08)
We address the problem of finding the optimal common resource for an arbitrary family of target states in quantum resource theories based on majorization, that is, theories whose conversion law between resources is determined ...
Approximate transformations of bipartite pure-state entanglement from the majorization lattice
(Elsevier Science, 2017-05)
We study the problem of deterministic transformations of an initial pure entangled quantum state, |ψ〉, into a target pure entangled quantum state, |ϕ〉, by using local operations and classical communication (LOCC). A ...
New lattice models for dynamic fracture problems of anisotropic materials
(Elsevier, 2019-05)
In this paper we present a two-dimensional lattice model to simulate dynamic fracture problems in anisotropic materials. The model is based on the equivalence of strain energy stored in a representative unit cell to its ...
Optical spatial soliton propagation through optical lattices with elliptic and circular symmetries
(Instituto Tecnológico y de Estudios Superiores de Monterrey, 2010-05-01)
This work is devoted to optical spatial soliton propagation through optical lattices induced by nondiffracting beams. The model employed for such was the nonlinear Schrödinger equation, found as a viable and reliable model ...
Statistics of opinion domains of the majority-vote model on a square lattice
(AMER PHYSICAL SOC, 2010)
The existence of juxtaposed regions of distinct cultures in spite of the fact that people's beliefs have a tendency to become more similar to each other's as the individuals interact repeatedly is a puzzling phenomenon in ...