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Topology and entanglement are two powerful principles for characterizing the structure of complex quantum states. In a new paper in the journal Physical Review X, researchers from the University of Pe...
The Super Operator System Structures and their applications in Quantum Entanglement Theory
operator system operator space quantum information theory quantum entanglement Schmidt number
2011/9/5
Abstract: An operator system $\cl S$ with unit $e$, can be viewed as an Archimedean order unit space $(\cl S,\cl S^+,e)$. Using this Archimedean order unit space, for a fixed $k\in \bb N$ we construct...
Optimal entanglement witnesses from generalized reduction and Robertson maps
Optimal entanglement witnesses generalized reduction Robertson maps
2011/3/4
We provide a generalization of the reduction and Robertson positive maps in matrix algebras. They give rise to a new class of optimal entanglement witnesses. Their structural physical approximation is...
It is shown, non–rigorously, that the effective action on Z q– factored odd spheres (lunes) has a vanishing derivative at q = 1. This leaves the effective action on the ordinary sphere as (minus) the ...
Information Geometric Modeling of Scattering Induced Quantum Entanglement
Information Geometric Modeling Quantum Entanglement
2011/2/24
We present an information geometric analysis of quantum entanglement generated by an s-wave scattering event between two minimum uncertainty Gaussian wave packets.
We propose a method which we call “Isotropic Entanglement” (IE), that takes inspiration
from Free Probability Theory and other ideas in Random Matrix Theory to predict the eigenvalue
distribution of...
Asymptotic entanglement in 1D quantum walks with a time-dependent coined
Asymptotic entanglement 1D quantum walks time-dependent coined
2011/3/3
In this paper we investigate the asymptotic behavior of coin position entanglement (CPE) of a discrete-time quantum walk in one dimensional lattice using a time-dependent unitary coin operator.
Yang-Baxter $\breve{R}$ matrix, Entanglement and Yangian
Yang-Baxter $\breve{R}$ matrix Entanglement Yangian
2011/1/19
We present a method to construct “X” form unitary Yang-Baxter ˘R matrices, which act on the tensor product space V j1\ i ⊗V j2 i+1. We can obtain a set of entangled states for (2 j1+1)×(2 j...
Entanglement can increase asymptotic rates of zero-error classical communication over classical channels
asymptotic rates of zero-error classical classical channels
2010/12/15
It is known that the number of di erent classical messages which can be communicated
with a single use of a classical channel with zero probability of decoding error can sometimes
be increased by us...
The coefficient of the logarithmic term in the entropy on even spheres is re–computed by the local technique of integrating the finite temperature energy density up to the horizon on static d–dimensio...