Results 11 to 20 of about 133,086 (323)
Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space [PDF]
SciPost PhysicsWe discuss the exact non-invertible Kramers-Wannier symmetry of 1+1d lattice models on a tensor product Hilbert space of qubits. This symmetry is associated with a topological defect and a conserved operator, and the latter can be presented as a matrix ...
Nathan Seiberg, Sahand Seifnashri, Shu-Heng Shao
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Topologies on quotient space of matrices via semi‐tensor product [PDF]
Asian Journal of Control, 2018 An equivalence of matrices via semi‐tensor product (STP) is proposed. Using this equivalence, the quotient space is obtained. Parallel and sequential arrangements of the natural projection on different shapes of matrices lead to the product topology and ...
D. Cheng, Zequn Liu
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On the spectrum of a topological tensor product of locally convex algebras
Mathematische Annalen, 1964 Anastasios Mallios
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Heredity of Tensor Products of Topological Algebras
Mathematische Annalen, 1966 The purpose of the present paper is to put into the context of the theory of tensor products of topological algebras [9], [10] some recent results concerning certain properties of permanence of a tensor product of Banach algebras [4], [5]. A brief report of the main results of this paper has been given in [11].
Anastasios Mallios
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Topological properties of spaces of ideals of the minimal tensor product [PDF]
, 2009 One shows that for two C^*-algebras A_1 and A_2 any continuous function on Prim(A_1)\times Prim(A_2) can be continuously extended to Prim(A_1\otimes A_2) provided it takes its values in a T_1 topological space. This generalizes a 1977 result of L.G. Brown. A new proof is given for a result of R.J.
Aldo J. Lazar
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Hochschild cohomology of tensor products of topological algebras [PDF]
Proceedings of the Edinburgh Mathematical Society, 2010 AbstractWe describe explicitly the continuous Hochschild and cyclic cohomology groups of certain tensor products of $\widehat{\otimes}$-algebras which are Fréchet spaces or nuclear DF-spaces. To this end we establish the existence of topological isomorphisms in the Künneth formula for the cohomology of complete nuclear DF-complexes and in the Künneth ...
Zinaida A. Lykova
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Topological Tensor Products of Unbounded Operator Algebras on Frechet Domains
Publications of the Research Institute for Mathematical Sciences, 1997 The aim of this paper is to investigate topological properties of unbounded operator algebras \mathcal A⊂L^+(D) and its stability under the formation of topological tensor products \mathcal A_1 \otimes_\alpha \mathcal A_2 . It is used
Wolf‐Dieter Heinrichs
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Tensor product representation of a topological ordered phase: Necessary symmetry conditions [PDF]
, 2010 The tensor product representation of quantum states leads to a promising variational approach to study quantum phase and quantum phase transitions, especially topological ordered phases which are impossible to handle with conventional methods due to ...
Isaac L. Chuang +4 more
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Topological tensor products and asymptotic developments [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 1999 The author shows that the space of holomorphic functions of several variables which have an asymptotic development in the classical sense of Poincaré and in the sense of Gevrey are nuclear spaces, and that they coincide with the complete tensor product of copies of the corresponding space in the one variable case.
Jorge Mozo-Fernández
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Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States
Physical Review XWe propose a tensor network approach known as the locally purified density operator (LPDO) to investigate the classification and characterization of symmetry-protected topological phases in open quantum systems.
Yuchen Guo +4 more
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