  We propose a method for detecting bipartite entanglement in a many-body mixed
state based on estimating moments of the partially transposed density matrix.
The estimates are obtained by performing local random measurements on the
state, followed by post-processing using the classical shadows framework. Our
method can be applied to any quantum system with single-qubit control. We
provide a detailed analysis of the required number of experimental runs, and
demonstrate the protocol using existing experimental data [Brydges et al,
Science 364, 260 (2019)].
