Uncertainty principle

Landauer's principle establishes a fundamental limit on the amount of energy that can be dissipated during the erasure of information. This principle bridges the gap between information theory and thermodynamics, showing that information processing is not free of energy cost.

Landauer's principle states that erasing one bit of information requires a minimum amount of energy, quantified as kT ln 2, where k is the Boltzmann constant and T is the absolute temperature. This energy cost arises from the necessity to increase the entropy of the system, reflecting the second law of thermodynamics.

The principle has significant implications for the design and efficiency of computational systems. It implies that any computational process, including data erasure, will have an inherent energy cost, highlighting the thermodynamic limitations of information processing.