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pro vyhledávání: '"A, Scala"'
We compute an upper bound for the value of the $L^1$-relaxed area of the graph of the vortex map $u : B_l(0)\subset \mathbb R^2 \to \mathbb R^2$, $u(x):= x/\vert x\vert$, $x \neq 0$, for all values of $l>0$. Together with a previously proven lower bo
Externí odkaz:
http://arxiv.org/abs/2409.18143
Motivated by the study of the non-parametric area $\mathcal A$ of the graph of the vortex map $u$ (a two-codimensional singular surface in $\mathbb R^4$) over the disc $\Omega \subset \mathbb R^2$ of radius $l$, we perform a careful analysis of the s
Externí odkaz:
http://arxiv.org/abs/2409.14210
Shadow Quantum Linear Solver: A Resource Efficient Quantum Algorithm for Linear Systems of Equations
Finding the solution to linear systems is at the heart of many applications in science and technology. Over the years a number of algorithms have been proposed to solve this problem on a digital quantum device, yet most of these are too demanding to
Externí odkaz:
http://arxiv.org/abs/2409.08929
We develop an optimized hardware strategy to mitigate errors in a noisy qubit. Our scheme builds on the physical principle of error filtration and exploits auxiliary qubits. Both signal and ancillas are subject to local noise, yet constructive interf
Externí odkaz:
http://arxiv.org/abs/2409.01398
Autor:
Scala, Luca
We discuss the bicrossproduct structure of the quantum group $\varrho$-Poincar\'e and of the dual quantum universal enveloping algebra, expanding the construction to general Lie algebra-type deformations of Poincar\'e coming from classical $r$-matric
Externí odkaz:
http://arxiv.org/abs/2408.09837
We further investigate the properties of an approach to topological singularities through free discontinuity functionals of Mumford-Shah type proposed in \cite{DLSVG}. We prove the variational equivalence between such energies, Ginzburg-Landau, and C
Externí odkaz:
http://arxiv.org/abs/2407.08285
Autor:
Gigena, Nicolas, Panwar, Ekta, Scala, Giovanni, Araújo, Mateus, Farkas, Máté, Chaturvedi, Anubhav
The degree of experimentally attainable nonlocality, as gauged by the amount of loophole-free violation of Bell inequalities, remains severely limited due to inefficient detectors. We address an experimentally motivated question: Which quantum strate
Externí odkaz:
http://arxiv.org/abs/2405.08743
Autor:
Aineto, Diego, Scala, Enrico
Publikováno v:
Proceedings of the International Conference on Principles of Knowledge Representation and Reasoning, 21(1), 801-811, 2024
This paper studies the problem of action model learning with full observability. Following the learning by search paradigm by Mitchell, we develop a theory for action model learning based on version spaces that interprets the task as search for hypot
Externí odkaz:
http://arxiv.org/abs/2404.09631
Autor:
Pinto, Andrea, Scala, Antonio
Securitization is a financial process where the cash flows of income-generating assets are sold to institutional investors as securities, liquidating illiquid assets. This practice presents persistent challenges due to the absence of a comprehensive
Externí odkaz:
http://arxiv.org/abs/2404.05372
Powerful domain-independent planners have been developed to solve various types of planning problems. These planners often require a model of the acting agent's actions, given in some planning domain description language. Manually designing such an a
Externí odkaz:
http://arxiv.org/abs/2403.15251