Quantum Computing Research: Math & Mechanics Needed?

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Research in quantum computing, particularly in algorithms and theoretical computer science, requires a solid understanding of quantum mechanics, with a Griffiths-level education often deemed sufficient. While some participants in the field may benefit from knowledge of quantum field theory, it is not universally necessary for theoretical work. Mathematics plays a crucial role, and familiarity with concepts from both applied and pure mathematics is recommended. Topological quantum computing can be relevant for applied mathematicians, but its complexity may lean more towards pure mathematics. A foundational grasp of quantum mechanics and theoretical computer science is essential for success in this area.
ehrenfest
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I'm interested in doing research in quantum computing. By that I mainly mean the algorithms and theoretical computer science part, not the experimental part. How much quantum mechanics do I need to know for that? Is the standard undergraduate Griffiths level enough? Do I need to know quantum field theory? What kind of math should I study for that? Is topological quantum computing something an applied mathematician should study or is it just pure mathematics?
 
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Hey ehrenfest. I really don't know how much QM you'd need to know to work in theory but I do work as an internin an Exp Quantum computing lab. I have a griffiths level education in quantum and I am able to get by. Alot still goes over my head though.
 
The TCS people in quantum computing generally know as much QM as you can get out of the Nielsen and Chuang book.
 

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