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The obvious choice would be a research or academic physicist. These are professions that are primarily in the public sector meaning that you would be employed by a university or the government. As for industry, there are still some companies that employ quantum physicists but they are usually R and D departments of large technology companies. Not a lot of businesses directly employ quantum mechanics directly, but there are a lot that use the results of experiments to develop new, and improve old, technologies.

Possible areas for research include superconductivity, quantum computing, particle physics and string theory. Maybe chemistry too.

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