Vertex colors to patricles

I need an advice, how to translate vertex color from parent object to child’s color (for ex - particles)?

You are probably using vertex colors to avoid doing this but you might have to bake the vertex colors to an image and then use that to color the particle system duplicates. Low resolution will do for the image, depending on your particle density.

I uv unwrapped the plane object and baked vertex color to a new (256x256) image with the settings seen on the bottom left corner.
I then assigned a material to the cube object and added a image texture with the newly baked image and the settings that are seen on the right.

Thank you for answer!
Bu is it possible do without baking? (because a plane is for example, i need do this points cloud (for visibility reason))