Do you think if we install sqlserver standard edition this error will disappear?
If you are lucky it will. I would not hold my breath, though.
If you have problems with deadlock, you cannot just make stabs in the dark, but you need to retrieve the deadlock XML and analyse the deadlock to be able to take action.
As it happens, I am giving a talk on exactly this topic next week at the Data Platform Summit My session is scheduled for Wednesday.