Work

Mixed-State Long-Range Entanglement from Dimensional Constraints

Year: 2026

Type: preprint

Abstract: We present a new mechanism for long-range entanglement (LRE) in strongly symmetric many-body mixed states that does not rely on symmetry anomalies or long-range correlations. Our primary example is the maximally mixed state in the translation-invariant subspace on a one-dimensional ring. This state is LRE because translationally symmetric short-range entangled states span a subspace whose dimension grows only polynomially with system size, whereas the full translation-invariant subspace grows exponentially. We further discuss certain unconventional properties of this state, including logarithmically growing conditional mutual information, strong-to-weak spontaneous symmetry-breaking, and Rényi-index-dependent operator-space entanglement. We also construct a geometrically non-local Lindbladian to stabilize this state as the steady state. Our results identify dimensional mismatch as a novel route to LRE that is intrinsic to many-body mixed states.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.15201

Authors: Lessa, Leonardo A., Lu, Tsung-Cheng

Institutions: University of Waterloo, Perimeter Institute, Joint Center for Quantum Information and Computer Science, University of Maryland, College Park

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Government of Canada, Industry Canada, Institut Périmètre de physique théorique, Ministry of Colleges and Universities, Natural Sciences and Engineering Research Council of Canada, Kavli Institute for Theoretical Physics, University of California, Santa Barbara

Awards: Exotic physics in quantum Hall and spin liquid systems, G2271590008, QLCI-CI: NSF Quantum Leap Challenge Institute for Robust Quantum Simulation, G3398237449, New Routes from Topological Materials to Quantum Computing, G4689434848, Kavli Institute for Theoretical Physics, G814497173

OpenAlex ID: W7161306012

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