WebAug 27, 2024 · Abstract. The spin-1/2 Kitaev model offers the exactly solvable example of quantum spin liquids. Possible material realizations of the spin-1/2 Kitaev systems and … WebApr 11, 2024 · The hierarchical equations of motion (HEOM) method is a numerically exact open quantum system dynamics approach. The method is rooted in an exponential expansion of the bath correlation function, which in essence strategically reshapes a continuous environment into a set of effective bath modes that allow for more efficient …
Holographic spin networks from tensor network states
In loop quantum gravity (LQG), a spin network represents a "quantum state" of the gravitational field on a 3-dimensional hypersurface. The set of all possible spin networks (or, more accurately, "s-knots" – that is, equivalence classes of spin networks under diffeomorphisms) is countable; it constitutes a basis of LQG Hilbert space. One of the key results of loop quantum gravity is quantization of areas: the operator of the area A … WebOct 15, 2016 · We find that the LQG spin-network states in a space Σ with boundary ∂Σ is an exact holographic mapping similar to the proposal in arXiv:1309.6282. The tensor … is texas tech a military school
Holographic spin networks from tensor network states
Web01_neural_network_regression_in_tensorflow.ipynb - Colaboratory. 01. Neural Network Regression with TensorFlow. In this notebook, we're going to set the foundations for how you can take a sample of inputs (this is our data), build a neural network to discover patterns in those inputs and then make a prediction (in form of a number) based on ... Tensor networks or tensor network states are a class of variational wave functions used in the study of many-body quantum systems. Tensor networks extend one-dimensional matrix product states to higher dimensions while preserving some of their useful mathematical properties. The wave function is … See more In general, a tensor network diagram (Penrose diagram) can be viewed as a graph where nodes (or vertices) represent individual tensors, while edges represent summation over an index. Free indices are depicted as edges … See more • Tensor • Tensor diagrams • Tensor contraction See more Tensor networks have been adapted for supervised learning, taking advantage of similar mathematical structure in variational studies in … See more WebIn addition to tensor contractions, one of the most pronounced computational bottlenecks in the nonorthogonally spin-adapted forms of the quantum chemistry ... and Françoise Beaufays. 2014. Long short-term memory recurrent neural network architectures for large scale acoustic modeling. In Proceedings of the 15th Annual Conference of the ... igbinedion university courses and fees