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Unique Structure of Dividing Quantum Systems
When an abstract quantum system can be divided into local subsystems interacting with their neighbors, there is usually a unique way of doing so. This uniqueness implies that the big quantum wave function can be divided in one particular manner into many little local subsystems. This revelation is significant as it signifies that starting with an abstract quantum system and not necessarily space or locality, one can still find a way to represent it as local interactions. This unique structuring demonstrates that the division of the wave function into local pieces follows a distinct and singular pattern.