  Certifying entanglement is an important step in the development of many
quantum technologies, especially for higher-dimensional systems, where
entanglement promises increased capabilities for quantum communication and
computation. A key feature distinguishing entanglement from classical
correlations is the occurrence of correlations for complementary measurement
bases. In particular, mutually unbiased bases (MUBs) are a paradigmatic example
that is well-understood and routinely employed for entanglement certification.
However, implementing unbiased measurements exactly is challenging and not
generically possible for all physical platforms. Here, we extend the
entanglement-certification toolbox from correlations in MUBs to arbitrary
bases, even without requiring aligned reference frames. This represents a
practically significant simplification that paves the way for the efficient
characterization of high-dimensional entanglement in a wide range of physical
systems.
