Large Deviations and One-Sided Scaling Limit of Randomized Multicolor Box-Ball System
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DOI: 10.1007/s10955-019-02417-x
Abstract: The basic $$\kappa $$ κ -color box-ball (BBS) system is an integrable cellular automaton on one dimensional lattice whose local states take $$\{0,1,\ldots ,\kappa \}$$ { 0 , 1 , … , κ } with… read more here.
Keywords: system; box ball; box; large deviations ... See more keywords
Lower bound on entanglement in subspaces defined by Young diagrams
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DOI: 10.1063/1.5050904
Abstract: Eigenvalues of 1-particle reduced density matrices of $N$-fermion states are upper bounded by $1/N$, resulting in a lower bound on entanglement entropy. We generalize these bounds to all other subspaces defined by Young diagrams in… read more here.
Keywords: bound entanglement; defined young; lower bound; subspaces defined ... See more keywords
Metrological Detection of Multipartite Entanglement from Young Diagrams.
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DOI: 10.1103/physrevlett.126.080502
Abstract: We characterize metrologically useful multipartite entanglement by representing partitions with Young diagrams. We derive entanglement witnesses that are sensitive to the shape of Young diagrams and show that Dyson's rank acts as a resource for… read more here.
Keywords: metrological detection; entanglement young; young diagrams; detection multipartite ... See more keywords