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In quantum computing, knowing the symmetries a given system or state obeys or disobeys is often useful. For example, Hamiltonian symmetries may limit allowed state transitions or simplify learning parameters in machine learning applications, and cert
Externí odkaz:
http://arxiv.org/abs/2407.17563
A pure state of fixed Hamming weight is a superposition of computational basis states such that each bitstring in the superposition has the same number of ones. Given a Hilbert space of the form $\mathcal{H} = (\mathbb{C}_2)^{\otimes n}$, or an $n$-q
Externí odkaz:
http://arxiv.org/abs/2404.07151
The widely popular transformer network popularized by the generative pre-trained transformer (GPT) has a large field of applicability, including predicting text and images, classification, and even predicting solutions to the dynamics of physical sys
Externí odkaz:
http://arxiv.org/abs/2403.14753
Autor:
Ducasse, Romain, Laborde, Maxime
We study the long-time behavior of solutions of the SIRS model, a reaction-diffusion system that appears in epidemiology to describe the spread of epidemics. We allow the system to be heterogeneous periodic. Under some hypotheses on the coefficients,
Externí odkaz:
http://arxiv.org/abs/2402.00405
Autor:
VÁZQUEZ M., FERNÁNDEZ S., MALDONADO C., MÉNDEZ M., ROSSI C., ORRO F., NEGRÍN A., FAGIOLINO P., LABORDE A
Publikováno v:
Revista Brasileira de Farmácia Hospitalar e Serviços de Saúde, Vol 2, Iss 2 (2019)
Objetivos: Contribuir para a compreensão dos erros de medicação (EM) identificação e análise e desenvolvimento de recomendações de prevenção. Métodos: Estudo retrospectivo observacional de notificações recebidos pela Informação Naci
Externí odkaz:
https://doaj.org/article/b743000885a9421288a3b0ee13914f13
Testing the symmetries of quantum states and channels provides a way to assess their usefulness for different physical, computational, and communication tasks. Here, we establish several complexity-theoretic results that classify the difficulty of sy
Externí odkaz:
http://arxiv.org/abs/2309.10081
Out-of-domain (OOD) detection is a crucial component in industrial applications as it helps identify when a model encounters inputs that are outside the training distribution. Most industrial pipelines rely on pre-trained models for downstream tasks
Externí odkaz:
http://arxiv.org/abs/2309.03047
In this position paper, we advocate for the idea that courses and exams in the AI era have to be designed based on two factors: (1) the strengths and limitations of AI, and (2) the pedagogical educational objectives. Based on insights from the Delors
Externí odkaz:
http://arxiv.org/abs/2308.02441
We assign an arbitrary density matrix to a weighted graph and associate to it a graph zeta function that is both a generalization of the Ihara zeta function and a special case of the edge zeta function. We show that a recently developed bipartite pur
Externí odkaz:
http://arxiv.org/abs/2307.03321
Autor:
LaBorde, Margarite L.
This thesis aims to establish notions of symmetry for quantum states and channels as well as describe algorithms to test for these properties on quantum computers. Ideally, the work will serve as a self-contained overview of the subject. We begin by
Externí odkaz:
http://arxiv.org/abs/2305.14560