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On Semigroup of Permutation Factor Circulant Boolean Matrices
Boolean algebra permutation factor circulant Boolean matrix semigroups idempotent Euler-Ferment theorem
2012/9/25
Let ()nPM B denote the set of all nn× permutation factor circulant matrices over the Boolean algebra {0, 1} B = , then ()nPM B forms a semigroup under the usual matrix product. In this paper,...
Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
Permutation operators entanglement entropy the XXZ spin chain
2010/12/24
In this paper we develop a new approach to the investigation of the bi-partite entanglement entropy in integrable quantum spin chains. Our method employs the well-known replica trick, thus taking a re...
Permutation Orbifold of N=2 Supersymmetric Minimal Models
Permutation Orbifold N=2 Supersymmetric Minimal Models
2010/12/23
In this paper we apply the previously derived formalism of permutation orbifold conformal field theories to N=2 supersymmetric minimal models. By interchanging extensions and permutations of the fact...
Entanglement and symmetry in permutation symmetric states
Entanglement symmetry permutation symmetric states
2010/3/10
We investigate the relationship between multipartite entanglement and symmetry, focusing on permutation symmetric states. We use the Majorana representation, where these states correspond to points on...
Representations of quantum permutation algebras
Representations quantum permutation algebras
2010/4/13
We develop a combinatorial approach to the quantum permutation algebras, as Hopf images of representations of type $\pi:A_s(n)\to B(H)$. We discuss several general problems, including the commutativit...