Limits on the quantum entanglement entropy in one dimension have been a key factor in understanding the physics of many-body systems. A bound that applies in any dimension has now been derived for a different measure known as entanglement spread.
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Rico Ortega, E., Montangero, S. Entanglement spread is bounded by area. Nat. Phys. 18, 1278–1279 (2022). https://doi.org/10.1038/s41567-022-01739-0