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The formalisms of somewhat knowing what each part of this is called will be somewhat important for you to seem knowledgeable in what you're talking about but might not be as necessary in application. Regardless, it'll give you major street cred around the quantum realm.
THE BEST WAY TO PRACTICE MATH IS PEN AND PAPER (or whatever you find most comfortable)
- get a clear understanding of vectors and kets and tensors.
- Kronecker Product
- Perhaps the very best math reference site: Wumbo.net
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Quantum formalism will help understand what kind of math it's based on
- primarily linear algebra & matrices
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Funny enough, another Obsidian user has made a much more extensive guide called The Quantum Well which presents most of the math and physics you will ever need to know.
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since my Obsidian focuses primarily on the programming and tech, the above foundational knowledge will be useful for those that are curious.
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Toric Code/Surface code
- entanglement and error correction
- act on 4 neighboring qubits at once to learn about
- tolerates relatively high error rate explained by John Preskill
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you can do a lot more with a network of quantum computers than with a single quantum computer
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Error Correction
- Idea of CPT-Map - relating to CPT Symmetry
- Charge, parity, and time reversal symmetry is a fundamental symmetry of physical laws under the simultaneous transformations of charge conjugation (C), parity transformation (P), and time reversal (T). CPT is the only combination of C, P, and T that is observed to be an exact symmetry of nature at the fundamental level. The CPT theorem says that CPT symmetry holds for all physical phenomena, or more precisely, that any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian must have CPT symmetry.
- Idea of CPT-Map - relating to CPT Symmetry
#refs