In modern statistical physics, typicality plays a crucial role since it states that almost all the microstates possessing a certain energy are locally indistinguishable from the canonical ensemble. Such states are called typical states and possess a large amount of entanglement. On the other hand, states whose entanglement are parameterically lower than a state are rare. We will call such states low entanglement states. In this talk, we will show that low entanglement states, while rare, are sufficient to account for the leading order of the thermodynamic entropy. We will also present a concrete way to construct such a basis. At the end, we will discuss its implication to the black holes, and its applications to computational physics.