Matrix product operator symmetries and intertwiners in string-nets with domain walls
SciPost Physics, 2021 We provide a description of virtual non-local matrix product operator (MPO) symmetries in projected entangled pair state (PEPS) representations of string-net models.
Laurens Lootens, Jürgen Fuchs, Jutho Haegeman, Christoph Schweigert, Frank Verstraete
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Classifying phases protected by matrix product operator symmetries using matrix product states [PDF]
Quantum, 2023 We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a local characterization of how the MPSs, that generate a ground space, remain ...
José Garre-Rubio +2 more
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A Multiplicative Version of Forgotten Topological Index [PDF]
Mathematics Interdisciplinary Research, 2019 In this paper, we present upper bounds for the multiplicative forgotten topological index of several graph operations such as sum, Cartesian product, corona product, composition, strong product, disjunction and symmetric difference in terms of the F ...
Asghar Yousefi +3 more
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Thermodynamic phase transition driven by topological excitations and their tensor network approach
Acta Physica Sinica, 2023 The fundamental concepts of phases and phase transitions constitute the cornerstone of our understanding of the physical universe. The historical development of the phase transition theory from Landau's spontaneous symmetry breaking paradigm to modern ...
Song Feng-Feng, Zhang Guang-Ming
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The Second Hyper-Zagreb Coindex of Chemical Graphs and Some Applications
Journal of Chemistry, 2021 The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a molecule from its molecular graph. In this current study, we shall evaluate the second hyper-Zagreb coindex of some chemical graphs. In this study, we compute
Ahmed Ayache +3 more
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Entanglement of valence-bond-solid state models on topological surfaces
Results in Physics, 2022 We investigated the scaling behaviors of entanglements on the two-leg ladder lattice structure implemented with Affleck–Kennedy–Lieb–Tasaki (AKLT) model on six types of topological surfaces, namely, torus, sphere, real projective plane, Klein bottle ...
Wuttichai Pankeaw +2 more
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Wiener Polarity Index of Tensor Product of Graphs [PDF]
Mathematics Interdisciplinary Research, 2016 Mathematical chemistry is a branch of theoretical chemistry for discussion and prediction of the molecular structure using mathematical methods without necessarily referring to quantum mechanics.
Mojgan Mogharrab +2 more
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Algebraic Representation of Topologies on a Finite Set
Mathematics, 2022 Since the 1930s, topological counting on finite sets has been an interesting work so as to enumerate the number of corresponding order relations on the sets.
Hongfeng Guo +3 more
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ARENS REGULARITY OF PROJECTIVE TENSOR PRODUCT
, 2021 In this paper, we study approximate identity properties, some propositions from Baker, Dales, Lau in general situations and we establish some relationships between the topological centers of module actions and factorization properties with some results ...
M. S. Kojanaghi, K. Azar
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Hybrid Berezinskii-Kosterlitz-Thouless and Ising topological phase transition in the generalized two-dimensional XY model using tensor networks [PDF]
, 2020 In tensor network representation, the partition function of a generalized two-dimensional XY spin model with topological integer and half-integer vortex excitations is mapped to a tensor product of one-dimensional quantum transfer operator, whose ...
F. Song, Guang-Ming Zhang
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