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• W2235131971 abstract "We study entanglement of generic states in the Hilbert spaces that respect symmetry. By applying concentration of measure, we show that a pure state respecting permutation symmetry is typically weakly entangled and that a pure state respecting translation symmetry is as highly entangled as a generic state without symmetry. We then investigate higher moments of the distribution of the amount of entanglement over generic states for each symmetry and provide numerical evidence that generic states with symmetry are divided into two subensembles characterized by different entanglement spectrum, which is in contrast to those without symmetry that are divided into three subensembles. This indicates that imposing symmetry on generic states radically changes the entanglement spectrum." @default.
• W2235131971 created "2016-06-24" @default.
• W2235131971 creator A5011384413 @default.
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• W2235131971 date "2014-09-18" @default.
• W2235131971 modified "2023-09-27" @default.
• W2235131971 title "Generic entanglement and symmetry: permutation and translation symmetry" @default.
• W2235131971 hasPublicationYear "2014" @default.
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