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16 lines
511 B
Plaintext
16 lines
511 B
Plaintext
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States can be represented as vectors
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|Ψ> = ½|+> + (i√3)/2|-> = ½ ( 1 ) + (i√3)/2 ( 0 ) = ( 1/2 )
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( 0 ) ( 1 ) ( (i√3)/2 )
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Operators are matrices
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Showed how Â|Ψ>=|φ> translates to a matrix in the z basis (pic x2)
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Example with S𝓏 operator (pic)
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Example with S𝓍 operator (pic)
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Often we know operator but not basis. How to find basis? (pic)
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i.e. find the eigen-basis S|α>=λ|α>
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Only non-trivial if determinant is zero. Solve for basis. (pic)
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