** This is a weekly seminar with research talks from local condensed matter theory students and postdocs, aimed at a broad quantum audience. Everyone is welcome! If you're interested in presenting at a future seminar, please send a message to This email address is being protected from spambots. You need JavaScript enabled to view it.. ** Â Time:Â Thursday, May 14 - 4:00-5:00pm Location:Â Â ATL 3100A and Virtual Via Zoom:Â https://umd.zoom.us/j/94978519761 Â Speaker:Â Tsung-Cheng Peter Lu, UMD Title:Â Mixed-state long-range entanglement from dimensional constraints Abstract:Â A many-body mixed state is long-range entangled (LRE) if it does not admit an ensemble decomposition into short-range entangled pure states. Known mechanisms for stabilizing mixed-state LRE typically rely on strong symmetry anomalies or long-range correlations. In this talk, I will introduce a new mechanism for mixed-state LRE based on dimensional constraints. As a primary example, I consider the maximally mixed state within the translation-invariant subspace of a one-dimensional ring of qudits. Despite the absence of both anomalies and nontrivial correlations, this state is LRE due to a mismatch between the dimension of the full translation-invariant subspace and the dimension spanned by translationally symmetric short-range entangled states. I will also discuss several intriguing properties of this state, including its conditional mutual information, signatures of strong-to-weak symmetry breaking, and operator-space entanglement.