The United States has almost no domestic capability to produce advanced semiconductors. There is no abundance of industrial capacity cranking out GPUs that can be quickly diverted from AI companies into weapon systems.
Even if private compute was at a level of maturity where you could use it for classified workloads, knowing that the infrastructure is being managed by someone in India or China, securely getting data into and out of that infrastructure is still a mostly unsolvable problem.
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The US is one of the very few countries with the ability to produce advanced semiconductors.