Why does Landauer define erasure of information as resetting

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Landauer's principle states that erasing one bit of information requires a minimum heat production of kBTln2, which is essential for resetting a device to a known state before measurement. This reset prevents bias in measurements, ensuring accurate readings of binary states (0 or 1). The discussion highlights the distinction between the energy expenditure involved in resetting a bit versus measuring it, referencing Bennett's proposal that measurement can occur without work done. The comparison of potential energy modulations in both processes raises questions about their similarities and differences in energy expenditure. Additionally, measurement is defined broadly as any interaction between classical and quantum systems, not limited to observer-involved processes.
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Hi. I hope this is the right forum for the question.

Landauer's principle says that the erasure of one bit of information (1 or 0) requires kBTln2 of heat production. When he talks about erasure, it means "resetting back to 0 (or 1)" after measuring. He says something along "this is needed as to not to bias the device". I guess this means "for the device to perform a measure, it needs to previously be in a given state". So that if you need to measure 0's and 1's, it intrinsically needs to be restored to 0 before each new measure. Why?
 
I have an answer to the question, but still there's something quite open to me. Erasure means resetting so that it doesn't interfere the device operation. For example, if a device with a one bit memory controls a door and is instructed to "OPEN DOOR whenever a measure gives 1", it wouldn't work if it wasn't resetted to 0.

However, focus now on the picture I'm uploading:

The right side of the red line is the resetting procedure, which resets a bit to 0 no matter what its state is. Calculations have shown this procedure implies, on average, a work of W=kTln2 on the particle (particle is brownian, and so disippates it into heat).

The left side is what Bennett proposed for a measure of a bit of information, saying measurement requires no work done. Worry not about the procedure he thought of, the important part is that it can be represented as a double well potential being modulated like is indicated next to the figure.

...Notice something similar? I find both modulations of the potential to be quite the same, yet the left one is an example of no expenditure of energy and the right one is just the opposite. What am I missing?

Edit: "Medida" means measurement.
 

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Yes, I know. A process where the memory of the device takes a state (1 or 0 if its a one bit memory) which corresponds to a given physical variable of the system being measured.
 
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