Results 91 to 100 of about 458,195 (236)
ON THE TOPOLOGY OF THE NONABELIAN TENSOR PRODUCT OF PROFINITE GROUPS
Bulletin of the Korean Mathematical Society, 2016 The properties of the nonabelian tensor products are interesting in different contexts of algebraic topology and group theory. We prove two theorems, dealing with the nonabelian tensor products of projective limits of finite groups. The first describes their topology.
openaire +4 more sources
A low-rank approximation of tensors and the topological group structure of invertible matrices
Учёные записки Казанского университета: Серия Физико-математические науки, 2018 By a tensor we mean an element of the tensor product of vector spaces over a field. Up to a choice of bases in factors of tensor products, every tensor may be coordinatized, i.e., represented as an array consisting of numbers.
R.N. Gumerov, A.S. Sharafutdinov
doaj
PRX QuantumPreparing long-range entangled states poses significant challenges for near-term quantum devices. It is known that measurement and feedback (MF) can aid this task by allowing the preparation of certain paradigmatic long-range entangled states with only ...
Yifan Zhang +2 more
doaj +1 more source
Disentangling Interacting Symmetry-Protected Phases of Fermions in Two Dimensions
Physical Review X, 2019 We construct fixed point lattice models for group supercohomology symmetry-protected topological phases of fermions (2+1)D. A key feature of our approach is to construct finite depth circuits of local unitaries that explicitly build the ground states ...
Tyler D. Ellison, Lukasz Fidkowski
doaj +1 more source
Quantum error-detection at low energies
Journal of High Energy Physics, 2019 Motivated by the close relationship between quantum error-correction, topological order, the holographic AdS/CFT duality, and tensor networks, we initiate the study of approximate quantum error-detecting codes in matrix product states (MPS).
Martina Gschwendtner +3 more
doaj +1 more source
Geometric Structures in Tensor Representations (Final Release) [PDF]
, 2015 The main goal of this paper is to study the geometric structures associated with the representation of tensors in subspace based formats. To do this we use a property of the so-called minimal subspaces which allows us to describe the tensor ...
Falco, Antonio +2 more
core +2 more sources
The smash product of monoidal theories [PDF]
arXiv, 2021 The tensor product of props was defined by Hackney and Robertson as an extension of the Boardman-Vogt product of operads to more general monoidal theories. Theories that factor as tensor products include the theory of commutative monoids and the theory of bialgebras. We give a topological interpretation (and vast generalisation) of this construction as
arxiv
Towards higher-spin AdS2/CFT1 holography
Journal of High Energy Physics, 2020 We aim at formulating a higher-spin gravity theory around AdS2 relevant for holography. As a first step, we investigate its kinematics by identifying the low-dimensional cousins of the standard higher-dimensional structures in higher-spin gravity such as
Konstantin Alkalaev, Xavier Bekaert
doaj +1 more source
Noncommutative topological entropy of endomorphisms of Cuntz algebras II [PDF]
, 2010 A study of noncommutative topological entropy of gauge invariant endomorphisms of Cuntz algebras began in our earlier work with Joachim Zacharias is continued and extended to endomorphisms which are not necessarily of permutation type.
Skalski, Adam
core
On the tensor product construction for q-differential algebras [PDF]
arXiv, 1997 We show that for $q\not=-1$ the q-graded tensor product fails to preserve the q-differential structure of the product algebra and therefore there is no natural tensor product construction for q-differential algebras.
arxiv