On tensors of factorizable quantum channels with the completely
depolarizing channel
March 28, 2018
Mathematics
Physics
Operator Algebras
Mathematical Physics
Mathematical Physics
In this paper, we obtain results for factorizability of quantum channels.
Firstly, we prove that if a tensor T⊗Sk​ of a quantum channel T on
Mn​(C) with the completely depolarizing channel Sk​ is written as
a convex ...
On Difference-of-SOS and Difference-of-Convex-SOS Decompositions for
Polynomials
March 27, 2018
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Mathematics
Optimization and Control
In this article, we are interested in developing polynomial decomposition
techniques based on sums-of-squares (SOS), namely the
difference-of-sums-of-squares (D-SOS) and the
difference-of-convex-sums-of-squares (DC-SOS). In particular, the ...
Derivation of the Invariant Free-Energy Landscape Based on Langevin
Dynamics
March 23, 2018
Physics
Statistical Mechanics
Conventionally defined free-energy landscape (FEL) exhibits unphysical
dependence on the choice of reaction coordinates and hence lacks universal
predictive ability. We here show that three physically plausible requirements
uniquely determi...
Commensurating actions for groups of piecewise continuous
transformations
March 22, 2018
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Mathematics
Dynamical Systems
Group Theory
Geometric Topology
Dynamical Systems
Group Theory
Geometric Topology
We use partial actions, as formalized by Exel, to construct various
commensurating actions. We use this in the context of groups piecewise
preserving a geometric structure, and we interpret the transfixing property of
these commensurating a...
Motivic correlators, cluster varieties and Zagier's conjecture on
zeta(F,4)
March 22, 2018
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Mathematics
Number Theory
Algebraic Geometry
Number Theory
Algebraic Geometry
We prove Zagier's conjecture on the value at s=4 of the Dedekind
zeta-function of a number field F. For any field F, we define a map from the
appropriate pieces of algebraic K-theory of F to the cohomology of the weight 4
polylogarithmic mo...
Multiple Models for Recommending Temporal Aspects of Entities
March 21, 2018
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Computer Science
Information Retrieval
Machine Learning
Entity aspect recommendation is an emerging task in semantic search that
helps users discover serendipitous and prominent information with respect to an
entity, of which salience (e.g., popularity) is the most important factor in
previous w...
Transit Photometry as an Exoplanet Discovery Method
March 21, 2018
|
Physics
Earth and Planetary Astrophysics
Photometry with the transit method has arguably been the most successful
exoplanet discovery method to date. A short overview about the rise of that
method to its present status is given. The method's strength is the rich set of
parameters ...
Towards observation of three-nucleon short-range correlations in high
Q^2 A(e, e')X reactions
March 20, 2018
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Physics
Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
We present a detailed study of kinematical and dynamical conditions necessary
for probing highly elusive three-nucleon short range correlations~(3N-SRCs) in
nuclei through inclusive electron scattering. The kinematic requirements that
shoul...
Internal spin resistance of spin batteries
March 19, 2018
Physics
Mesoscale and Nanoscale Physics
For spin batteries we introduce the concept of internal spin resistance which
quantifies the amount of backflow from the load to the battery. It allows to
relate through a Thevenin-Norton relation, spin current sources to spin
accumulation ...
Lossless Analog Compression
March 19, 2018
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Mathematics
Computer Science
Functional Analysis
Information Theory
Information Theory
We establish the fundamental limits of lossless analog compression by
considering the recovery of arbitrary m-dimensional real random vectors x from
the noiseless linear measurements y=Ax with n x m measurement matrix A. Our
theory is inspi...