Quantum Discord Witness With Uncharacterized Devices
March 20, 2023
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Physics
Quantum Physics
Quantum Physics
Quantum discord represents a correlation beyond classicality that could be
useful for many quantum information tasks, and therefore is viewed as a
valuable quantum resource. Theoretically, whether a bipartite quantum state has
a non-zero am...
Determining probability density functions with adiabatic quantum
computing
March 20, 2023
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Physics
Quantum Physics
High Energy Physics - Phenomenology
Quantum Physics
High Energy Physics - Phenomenology
The two main approaches to quantum computing are gate-based computation and
analog computation, which are polynomially equivalent in terms of complexity,
and they are often seen as alternatives to each other. In this work, we present
a meth...
Unusual functorialities for weakly constructible sheaves
March 20, 2023
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Mathematics
Algebraic Geometry
Algebraic Geometry
We prove that various morphisms related to the six Grothendieck operations on
sheaves become isomorphisms when restricted to (weakly) constructible sheaves.
To this end, we first study some properties of weakly cohomologically
constructible...
Energy equality for the compressible Primitive Equations with vacuum
March 20, 2023
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Mathematics
Analysis of PDEs
Analysis of PDEs
The paper deals with the problem of the energy conservation for the weak
solutions to the compressible Primitive Equations (CPE) system with degenerate
viscosity. The sufficient conditions on the regularity of weak solutions for
the energy ...
Almost flat highest weights and application to Wilson loops on compact
surfaces
March 20, 2023
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Physics
Mathematics
Mathematical Physics
Mathematical Physics
Probability
Representation Theory
Mathematical Physics
Mathematical Physics
Probability
Representation Theory
We derive new formulas for the expectation and variance of Wilson loops for
any contractible simple loop on a compact orientable surface of genus 1 and
higher, in the model of two-dimensional Yang--Mills theory with structure group
$\math...
Decomposed Prototype Learning for Few-Shot Scene Graph Generation
March 20, 2023
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Computer Science
Computer Vision and Pattern Recognition
Computer Vision and Pattern Recognition
Today's scene graph generation (SGG) models typically require abundant manual
annotations to learn new predicate types. Therefore, it is difficult to apply
them to real-world applications with massive uncommon predicate categories
whose ann...
A Bayesian Approach To The Halo-Galaxy-SMBH Connection Through Cosmic
Time
March 20, 2023
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Physics
Astrophysics of Galaxies
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
Cosmology and Nongalactic Astrophysics
We study the co-evolution of dark matter halos, galaxies and supermassive
black holes using an empirical galaxy evolution model from z=0 -- 10. We
demonstrate that by connecting dark matter structure evolution with simple
empirical pres...
Opening the Black Box Inside Grover's Algorithm
March 20, 2023
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Physics
Quantum Physics
Strongly Correlated Electrons
Grover's algorithm is a primary algorithm offered as evidence that quantum
computers can provide an advantage over classical computers. It involves an
"oracle" specified for a given application whose structure is not part of the
formal scal...
Non-Euclidean Monotone Operator Theory and Applications
March 20, 2023
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Mathematics
Optimization and Control
While monotone operator theory is often studied on Hilbert spaces, many
interesting problems in machine learning and optimization arise naturally in
finite-dimensional vector spaces endowed with non-Euclidean norms, such as
diagonally-weigh...
Location-Free Scene Graph Generation
March 20, 2023
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Computer Science
Computer Vision and Pattern Recognition
Scene Graph Generation (SGG) is a visual understanding task, aiming to
describe a scene as a graph of entities and their relationships with each
other. Existing works rely on location labels in form of bounding boxes or
segmentation masks, ...