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@@ -164,6 +164,8 @@ In practice, we ignore the subscript of the vector space and just write $\langle
#### Definition of two-state quantum system #### Definition of two-state quantum system
The finite dimensional Hilbert space $\mathcscr{H}
#### Definition of Coherent states from the view of physics #### Definition of Coherent states from the view of physics
#### Side node: Why quantum error-correcting code is hard #### Side node: Why quantum error-correcting code is hard
@@ -190,8 +192,6 @@ If $\langle \psi|\varphi\rangle=0$, then $\ket{\psi}=\ket{\varphi}$, no cloning
If $\langle \psi|\varphi\rangle=1$, then $\ket{\psi}$ and $\ket{\varphi}$ are orthogonal. If $\langle \psi|\varphi\rangle=1$, then $\ket{\psi}$ and $\ket{\varphi}$ are orthogonal.
#### Proposition: Encoding 8 to 9 that correct 1 errors #### Proposition: Encoding 8 to 9 that correct 1 errors
Recover 1 qubit from a 9 qubit quantum system. (Shor code, 1995) Recover 1 qubit from a 9 qubit quantum system. (Shor code, 1995)