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The International Thermonuclear Experimental Reactor (ITER) Project is an international nuclear fusion research and engineering project designed to demonstrate the scientific and technical viability of fusion power. The question asks which of the given countries did not sign this project:
Option 1: Canada - The correct answer. Canada is not a signatory of this project, hence not part of the fusion research collaboration.
Option 2: China - Incorrect, China is a signatory country of the ITER Project and is actively involved in the development of the nuclear fusion technology.
Option 3: Japan - Incorrect, Japan is one of the signatories of the ITER Project, which contributes to its progress.
Option 4: USA - Incorrect, the USA is also a participant country that agreed to collaborate in the ITER Project.
Hence, every option apart from `Canada` is incorrect because these countries are all signatories to the ITER Project.