What kind of storage device? I'm fairly sure in a HDD the 1 and 0 states have the same energy, and from what I know about SSDs I think the same is true there.
I don't have a great understanding of SSD's but I believe the data is stored as charge in floating gates. And this charge should have weight.
For HDD's I think I was wrong but there is on the other hand an interaction effect between nearby bits. If nearby magnetic domains try to repel each other it has higher energy.
For HDD's I think I was wrong but there is on the other hand an interaction effect between nearby bits. If nearby magnetic domains try to repel each other it has higher energy.