Results 61 to 70 of about 455,174 (314)
AKLT-States as ZX-Diagrams: Diagrammatic Reasoning for Quantum States
From Feynman diagrams to tensor networks, diagrammatic representations of computations in quantum mechanics have catalyzed progress in physics. These diagrams represent the underlying mathematical operations and aid physical interpretation, but cannot ...
Richard D.P. East+3 more
doaj +1 more source
The paper discusses the role of scale anomaly in generating edge electric currents via the scale magnetic effect in scalar electrodynamics. Although the boundary electric current is much weaker than the Meissner current induced in superconducting materials, the scale anomaly can enhance conductivity near the boundary of the material.
Maxim Chernodub+2 more
wiley +1 more source
Tensor products of homotopy Gerstenhaber algebras [PDF]
On the tensor product of two homotopy Gerstenhaber algebras we construct a Hirsch algebra structure which extends the canonical dg algebra structure. Our result applies more generally to tensor products of "level 3 Hirsch algebras" and also to the Mayer-Vietoris double complex.
arxiv +1 more source
The trouble with twisting (2,0) theory [PDF]
We consider a twisted version of the abelian $(2,0)$ theory placed upon a Lorenzian six-manifold with a product structure, $M_6=C \times M_4 $. This is done by an investigation of the free tensor multiplet on the level of equations of motion, where the ...
Anderson, Louise, Linander, Hampus
core +2 more sources
A model-independent Gray tensor product for $(\infty,2)$-categories [PDF]
We construct a (lax) Gray tensor product of $(\infty,2)$-categories and characterize it via a model-independent universal property. Namely, it is the unique monoidal biclosed structure on the $\infty$-category of $(\infty,2)$-categories which agrees with the classical Gray tensor product of strict 2-categories when restricted to the Gray cubes (i.e ...
arxiv
Simulation of topological field theories by quantum computers [PDF]
Quantum computers will work by evolving a high tensor power of a small (e.g. two) dimensional Hilbert space by local gates, which can be implemented by applying a local Hamiltonian H for a time t.
Freedman, Michael H.+2 more
core +3 more sources
Entanglement of valence-bond-solid state models on topological surfaces
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
doaj
Absolute anomalies in (2+1)D symmetry-enriched topological states and exact (3+1)D constructions
Certain patterns of symmetry fractionalization in (2+1)-dimensional [(2+1)D] topologically ordered phases of matter can be anomalous, which means that they possess an obstruction to being realized in purely (2+1)D.
Daniel Bulmash, Maissam Barkeshli
doaj +1 more source
A note on order topologies on ordered tensor products [PDF]
If E, F are regularly ordered vector spaces the tensor product E ⊗ F can be ordered by the conic hull Kπ of tensors, x ⊗ y with x ≥ 0 in E and y ≥ 0 in F, or by the cone K⊗ of tensors Φ ∈ E ⊗ F such that Φ(x′, y′) ≥ 0 for positive linear functionals x′, y′ on E, F.If E, F are locally convex spaces the tensor product can te given the π-topology which is
openaire +2 more sources
Pivotal tricategories and a categorification of inner-product modules
This article investigates duals for bimodule categories over finite tensor categories. We show that finite bimodule categories form a tricategory and discuss the dualities in this tricategory using inner homs.
Schaumann, Gregor
core +1 more source