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> these matrices must be their own inverse (in mathematical terms, Unitary and Hermitian). The full (2^n)x(2^n) matrices are derived by taking the tensor products of several 2x2 and 4x4 matrices.

Gates don't have to be Hermitian right? Like NOT^(1/2) is not Hermitian.




Yep, observables in quantum mechanics are represented by hermitian matrices


Oh wow, am I wrong? I thought all quantum operators were their own inverses, which since they're all unitary means they must be hermitian.




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