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Cheat sheets/Spin matrices
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Cheat sheets
σ
x
=
σ
1
=
(
0
1
1
0
)
{\displaystyle \sigma _{x}=\sigma _{1}={\begin{pmatrix}0&1\\1&0\end{pmatrix}}}
σ
y
=
σ
2
=
(
0
−
i
i
0
)
{\displaystyle \sigma _{y}=\sigma _{2}={\begin{pmatrix}0&-i\\i&0\end{pmatrix}}}
σ
z
=
σ
3
=
(
1
0
0
−
1
)
{\displaystyle \sigma _{z}=\sigma _{3}={\begin{pmatrix}1&0\\0&-1\end{pmatrix}}}