The fermionic state sum as a tensor network
State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter
... between fermionic phases of matter and bosonic phases equipped with a special fermionic quasi-particle was proposed in [ 8 – 10 ] as a form of “gauging fermionic ...“gauging fermionic parity” ...
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Parameterization of Tensor Network Contraction
... the tensor network corresponding to hx|C|yi slightly ...entire tensor network, we remove a single wire and replace it with |bi hb| for b ∈ {0, ...original network is the sum of ...
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Tensor Network Wavefunctions for Topological Phases
... ground state would remain unique on manifolds of nontrivial topology, thereby ruling out the possibility that the wavefunction describes a topologically ordered ...
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Tensor Network Methods for Quantum Phases
... with its antiparticle back to the vacuum. The study of such domain walls and twists is the topic of Chapter 5. 1.1.4 Many-body models and computation One of the primary motivations to study the exotic materials ...
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State sum models for quantum gravity
... the tensor product of all five ...the tensor product is ...spin network diagram, which is constructed by connecting the vertices together on S 3 , and then projecting S 3 → R 2 to give a generalised ...
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Tensor Fusion Network for Multimodal Sentiment Analysis
... termed Tensor Fusion Network, which learns both such dynam- ics ...outperforms state-of- the-art approaches for both multimodal and unimodal sentiment ...
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Symmetric topological phases and tensor network states:
... ground state manifold in 2+1D and the statistics of quasiparticles was further exposed by the introduction of minimum entropy states (MES), a special choice of basis in ground state ...
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Isometric Tensor Network States in Two Dimensions.
... of the isoTNS ansatz, as well as implementing a varia- tional ground state algorithm, DMRG 2 , by nesting the standard 1D algorithm. We thank B. Bauer, M. Fishman, J. Haah, S. Lin, R. Mong, M. Stoudenmire, A. ...
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Tensor network methods for Radiotherapy Dose Optimization
... In the first part of the study, we wrote an algorithm to perform iterative-search of the lowest energy eigenvalue along the diagonal of the Hamiltonian, with the aim of validating the mapping procedure from the classical ...
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Text Understanding with the Attention Sum Reader Network
... {rudolf kadlec,martin.schmid,obajgar,jankle}@cz.ibm.com Abstract Several large cloze-style context-question- answer datasets have been introduced re- cently: the CNN and Daily Mail news data and the Children’s Book Test. ...
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Multimodal Relational Tensor Network for Sentiment and Emotion Classification
... Relational Tensor Network archi- tecture where we use the inter-modal in- teractions within a segment and also con- sider the sequence of segments in a video to model the inter-segment inter-modal in- ...
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T3NS : three-legged tree tensor network states
... tree tensor net- work state (TTNS) ansatz, the three-legged tree tensor network state ...product state (MPS) ansatz of the density ma- trix renormalization group ...
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Majorana-Based Fermionic Quantum Computation
... TABLE I. Basic circuit elements we allow in our computation scheme. The above is sufficient to generate universal quantum computation in the single-parity sector. Computational degrees of freedom are formed by two ...
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Fermionic multiscale entanglement renormalization ansatz
... In a recent contribution 关P. Corboz, G. Evenbly, F. Verstraete, and G. Vidal, arXiv:0904.4151 共unpublished兲兴 entanglement renormalization was generalized to fermionic lattice systems in two spatial dimensions. En- ...
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Topic Tensor Network for Implicit Discourse Relation Recognition in Chinese
... topic tensor network to recognize Chinese im- plicit discourse relations with both sentence- level and topic-level ...convolutional network to obtain sentence-level representations, we train a ...
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Max Margin Tensor Neural Network for Chinese Word Segmentation
... Experiment results show that our model outper- forms other neural network models. Although we focus on the question that how far we can go without using feature engineering in this paper, the study of deep ...
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Tensor Network study of the (1+1)-dimensional Thirring Model
... 32]. It has been found that the topological excitations, vortices and anti-vortices, play an important role in this system. At low temperatures, a vortex forms a bound state with an anti-vortex. The vortex- ...
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A New Time–Frequency Attention Tensor Network for Language Identification
... frequency tensor attention network ...residual network, which itself was found to perform well for an LID task, yield results which improve upon the current state-of-the-art DBF DNN i-vector ...
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A simple tensor network algorithm for two-dimensional steady states
... The computational cost of this algorithm is the one of the chosen iPEPS strategy. In our case, we work with a simple update for the evolution with a two-site unit cell, which has a cost of O (d 4 D 5 +d 12 D 3 ), and ...
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Symmetries in topological tensor network states: classification, construction and detection
... always exists an n such that the dimensions of the irreps do not change. Then, using Lemma 2.21 we conclude that there is an invertible matrix realizing the isomorphism as a conjugation. 2 2.5 Discussion In this ...
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