Abstract: Super quantum discord gets widely attention because it has better property than normal quantum discord and quantum entanglement. This paper perform comparative theoretical study on the super quantum discord and normal quantum discord in thermal equilibrium Heisenberg XYZ model with Dzyaloshinski - Moriya interaction. It is found that the super quantum discord always larger than the normal quantum discord, and Dzyaloshinski - Moriya interaction plays a positive role to the super quantum discord. Finally, it is most meaningful that the super quantum discord in this model is little affected by temperature than normal quantum discord.

Key words: quantum optics; super quantum discord；weak measurement; Dzyaloshinski-Moriya interaction；measurement strength.