  Separability problem is a long-standing tough issue in quantum information
theory. In this paper, we propose a general method to detect entanglement via
arbitrary measurement $\boldsymbol{X}$, by which several novel criteria are
established. The new criteria are found incorporate many of the prevailing ones
in the literatures. Our method is applicable as well to the steering detection,
which possesses a merit of ignoring the knowledge of involved quantum states. A
concept of measurement orbit, which plays an important role in the detection of
entanglement and steering, is introduced, which enlightens our understanding of
uncertainty relation. Moreover, an extension of symmetric informationally
complete positive operator-valued measures (SIC-POVM), viz. symmetric complete
measurements (SCM), is proposed, and employed to reconstruct the quantum state
analytically.
