# Is their a theoretical minimal amout of energy to keep some information?

The goal here is to keep a bit of information $$b$$ at the temperature $$T$$ during a time $$\delta t$$.

I don't know if this question makes a lot of sense, considering the diversity of ways to encode information.

But is there a way to generalize all this techniques in term of state and particle?

Then could we obtain a lower bound on the energy we need to spend to keep this information unaltered.

It's a question very open, so don't hesitate to reformulate the problem in a way understandable for you. And I hope it's not a off-topic.

The minimum amount of energy required to erase 1 bit of information is $$kT\log{2}$$ (Landauer limit)