Comment on "Construction of the landscape for multi-stable systems: Potential landscape, quasi-potential, A-type integral and beyond" [J. Chem. Phys. 144, 094109 (2016)].

Connections between a "SDE decomposition" to other frameworks constructing landscape in non-equilibrium processes were discussed by Zhou and Li [J. Chem. Phys. 144, 094109 (2016)]. It was speculated that the SDE decomposition would not be generally unique. In this comment, we demonstrate both mathematically and physically that the speculation is incorrect and the uniqueness is guaranteed under appropriate conditions. A few related issues are also clarified, such as the limitation of obtaining potential function from steady state distribution. Current demonstration may lead to a better understanding on the structure and robustness of the decomposition framework.