  Wigner negativity, as a well-known indicator of nonclassicality, plays an
essential role in quantum computing and simulation using continuous-variable
systems. Recently, it has been proven that Einstein-Podolsky-Rosen steering is
a prerequisite to generate Wigner negativity between two remote modes.
Motivated by the demand of real-world quantum network, here we investigate the
shareability of generated Wigner negativity in the multipartite scenario from a
quantitative perspective. By establishing a monogamy relation akin to the
generalized Coffman-Kundu-Wootters inequality, we show that the amount of
Wigner negativity cannot be freely distributed among different modes. Moreover,
for photon subtraction -- one of the main experimentally realized non-Gaussian
operations -- we provide a general method to quantify the remotely generated
Wigner negativity. With this method, we find that there is no direct
quantitative relation between the Gaussian steerability and the amount of
generated Wigner negativity. Our results pave the way for exploiting Wigner
negativity as a valuable resource for numerous quantum information protocols
based on non-Gaussian scenario.
