Results 31 to 40 of about 1,824,364 (240)
Matrix Product Representation of Locality Preserving Unitaries [PDF]
, 2017 The matrix product representation provides a useful formalism to study not only entangled states, but also entangled operators in one dimension. In this paper, we focus on unitary transformations and show that matrix product operators that are unitary ...
Bi, Feng +3 more
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Extension problems and non-abelian duality for $C^*$-algebras [PDF]
, 2006 Suppose that $H$ is a closed subgroup of a locally compact group $G$. We show that a unitary representation $U$ of $H$ is the restriction of a unitary representation of $G$ if and only if a dual representation $\hat U$ of a crossed product $C^*(G)\rtimes
Huef, Astrid an +2 more
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An efficient high dimensional quantum Schur transform [PDF]
Quantum, 2019 The Schur transform is a unitary operator that block diagonalizes the action of the symmetric and unitary groups on an $n$ fold tensor product $V^{\otimes n}$ of a vector space $V$ of dimension $d$.
Hari Krovi
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Identity excluding groups [PDF]
, 2002 We consider the class of groups called identity excluding which has the property that any non-trivial irreducible unitary representation restricted to a dense subgroup does not weakly contain the trivial representation. For adapted and strictly aperiodic
Raja, C. R. E.
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Designing locally maximally entangled quantum states with arbitrary local symmetries [PDF]
Quantum, 2021 One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries.
Oskar Słowik +2 more
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Analysis on the minimal representation of O(p,q) -- I. Realization via conformal geometry [PDF]
, 2001 This is the first in a series of papers devoted to an analogue of the metaplectic representation, namely, the minimal unitary representation of an indefinite orthogonal group; this representation corresponds to the minimal nilpotent coadjoint orbit in ...
Beckner +24 more
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A Stone-Weierstrass theorem for group representations
International Journal of Mathematics and Mathematical Sciences, 1978 It is well known that if G is a compact group and π a faithful (unitary) representation, then each irreducible representation of G occurs in the tensor product of some number of copies of π and its contragredient. We generalize this result to a separable
Joe Repka
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Orthogonal bases in specific generalized symmetry classes of tensors [PDF]
Journal of Mahani Mathematical ResearchLet $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambda ...
Gholamreza Rafatneshan, Yousef Zamani
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Unitary quantization of a scalar charged field and Schwinger effect
Journal of High Energy Physics, 2020 Quantum field theory in curved spacetimes suffers in general from an infinite ambiguity in the choice of Fock representation and associated vacuum. In cosmological backgrounds, the requirement of a unitary implementation of the field dynamics in the ...
Luis J. Garay +2 more
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Analysis on the minimal representation of O(p,q) -- II. Branching laws [PDF]
, 2001 This is a second paper in a series devoted to the minimal unitary representation of O(p,q). By explicit methods from conformal geometry of pseudo-Riemannian manifolds, we find the branching law corresponding to restricting the minimal unitary ...
Bent Ørsted +11 more
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