Entanglement-fluctuation relation for bipartite pure states
arXiv:1512.05551 · doi:10.1103/PhysRevA.94.022323
Abstract
We identify subsystem fluctuations (variances) that measure entanglement in an arbitrary bipartite pure state. These fluctuations are of observables that generalize the notion of polarization to an arbitrary N-level subsystem. We express this polarization fluctuation in terms of subsystem purity and other entanglement measures. The derived fluctuation-entanglement relation is evaluated for the ground states of a one-dimensional free fermion gas and the Affleck-Kennedy-Lieb-Tasaki spin chain. Our results provide a framework for experimentally measuring entanglement using Stern-Gerlach-type state selectors.
7 pages, 1 figure. Revisions, corrections, title change made. References updated. New example added
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