  The ability to manipulate quantum systems lies at the heart of the
development of quantum technology. The ultimate goal of quantum control is to
realize arbitrary quantum operations (AQuOs) for all possible open quantum
system dynamics. However, the demanding extra physical resources impose great
obstacles. Here, we experimentally demonstrate a universal approach of AQuO on
a photonic qudit with minimum physical resource of a two-level ancilla and a
$\log_{2}d$-scale circuit depth for a $d$-dimensional system. The AQuO is then
applied in quantum trajectory simulation for quantum subspace stabilization and
quantum Zeno dynamics, as well as incoherent manipulation and generalized
measurements of the qudit. Therefore, the demonstrated AQuO for complete
quantum control would play an indispensable role in quantum information
science.
