Universal Decay of Mutual Information and Conditional Mutual Information in Gapped Pure- and Mixed-State Quantum
Jinmin Yi1,2, Kangle Li3, Chuan Liu3
1Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada N2L 2Y5.
None:
For spin and fermionic systems in any spatial dimension, we establish that the superpolynomial decay behavior of mutual information and conditional mutual information is a universal property of gapped pure- and mixed-state phases; i.e., all systems in such a phase possess this property if one system in this phase possesses this property. We further demonstrate that the (conditional) mutual information indeed decays superpolynomially in a large class of phases, including chiral phases. As a by-product, we sharpen the notion of mixed-state phases.
Related Concept Videos
The Uncertainty Principle
Free Energy Changes for Nonstandard States
Entropy and the Second Law of Thermodynamics
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
Entropy and the Second Law of Thermodynamics
Third Law of Thermodynamics
The Entropy as a State Function


