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pro vyhledávání: '"Shu, Heng"'
The Learning-to-Defer approach has been explored for classification and, more recently, regression tasks separately. Many contemporary learning tasks, however, involves both classification and regression components. In this paper, we introduce a Lear
Externí odkaz:
http://arxiv.org/abs/2410.15729
In the 1+1D ultra-local lattice Hamiltonian for staggered fermions with a finite-dimensional Hilbert space, there are two conserved, integer-valued charges that flow in the continuum limit to the vector and axial charges of a massless Dirac fermion w
Externí odkaz:
http://arxiv.org/abs/2409.12220
Tensor networks provide a natural language for non-invertible symmetries in general Hamiltonian lattice models. We use ZX-diagrams, which are tensor network presentations of quantum circuits, to define a non-invertible operator implementing the Wegne
Externí odkaz:
http://arxiv.org/abs/2406.12978
We explore exact generalized symmetries in the standard 2+1d lattice $\mathbb{Z}_2$ gauge theory coupled to the Ising model, and compare them with their continuum field theory counterparts. One model has a (non-anomalous) non-invertible symmetry, and
Externí odkaz:
http://arxiv.org/abs/2405.13105
Autor:
Seifnashri, Sahand, Shao, Shu-Heng
We show that the standard 1+1d $\mathbb{Z}_2\times \mathbb{Z}_2$ cluster model has a non-invertible global symmetry, described by the fusion category Rep(D$_8$). Therefore, the cluster state is not only a $\mathbb{Z}_2\times \mathbb{Z}_2$ symmetry pr
Externí odkaz:
http://arxiv.org/abs/2404.01369
Publikováno v:
SciPost Phys. 16, 154 (2024)
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+1d lattice models on a tensor product Hilbert space of qubits. This symmetry is associated with a topological defect and a conserved operator, and the latter can be presented as a matr
Externí odkaz:
http://arxiv.org/abs/2401.12281
Publikováno v:
Phys. Rev. Lett. 132, 121601 (2024)
We derive model-independent quantization conditions on the axion couplings (sometimes known as the anomaly coefficients) to the Standard Model gauge group $[SU(3)\times SU(2)\times U(1)_Y]/\mathbb{Z}_q$ with $q=1,2,3,6$. Using these quantization cond
Externí odkaz:
http://arxiv.org/abs/2309.03937