Table 4.

Relationship between Bell states and Hadamard operations.

Initial state	Alice’s operation	Bob’s operation	Qubit state	Relationship of measurement result
$\begin{array}{c}{\left|{\mathrm{\Phi }}^{+}\right.〉}_{\mathit{AB}}=\\ \frac{1}{\sqrt{2}}{\left(\left|00\right.〉+\left|11\right.〉\right)}_{\mathit{AB}}\\ \end{array}$	I	I	$\frac{1}{\sqrt{2}}{\left(\left|00\right.〉+\left|11\right.〉\right)}_{\mathit{AB}}$	$m{r}_A=m{r}_B$
	I	H	$\frac{1}{\sqrt{2}}{\left(\left|00\right.〉+\left|01\right.〉+\left|10\right.〉-\left|11\right.〉\right)}_{\mathit{AB}}$	Uncertain
	H	I	$\frac{1}{\sqrt{2}}{\left(\left|00\right.〉+\left|01\right.〉+\left|10\right.〉-\left|11\right.〉\right)}_{\mathit{AB}}$	Uncertain
	H	H	$\frac{1}{\sqrt{2}}{\left(\left|00\right.〉+\left|11\right.〉\right)}_{\mathit{AB}}$	$m{r}_A=m{r}_B$