  In this article, we propose an interactive protocol for one party (the
verifier) holding a quantum computer to verify the quantum computation power of
another party's (the prover) device via a one-way quantum channel. This
protocol is referred to as the dihedral coset problem (DCP) challenge. The
verifier needs to prepare quantum states encoding secrets (DCP samples) and
send them to the prover. The prover is then tasked with recovering those
secrets with a certain accuracy. Numerical simulation demonstrates that this
accuracy is sensitive to errors in quantum hardware. Additionally, the DCP
challenge serves as benchmarking protocol for locally fully connected (LFC)
quantum architecture and aims to be performed on current and near-future
quantum resources. We conduct a 4-qubit experiment on one of IBM Q devices.
