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122 | 122 | ('Deriving a circuit', 2, None, 'deriving-a-circuit'), |
123 | 123 | ('Rotation gate', 2, None, 'rotation-gate'), |
124 | 124 | ('Proceeding', 2, None, 'proceeding'), |
125 | | - ('Two-qubit system', 2, None, 'two-qubit-system'), |
126 | 125 | ('Two-qubit case', 2, None, 'two-qubit-case'), |
127 | 126 | ('QFT matrix', 2, None, 'qft-matrix'), |
128 | 127 | ('Three-qubit case', 2, None, 'three-qubit-case'), |
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207 | 206 | <!-- navigation toc: --> <li><a href="#deriving-a-circuit" style="font-size: 80%;">Deriving a circuit</a></li> |
208 | 207 | <!-- navigation toc: --> <li><a href="#rotation-gate" style="font-size: 80%;">Rotation gate</a></li> |
209 | 208 | <!-- navigation toc: --> <li><a href="#proceeding" style="font-size: 80%;">Proceeding</a></li> |
210 | | - <!-- navigation toc: --> <li><a href="#two-qubit-system" style="font-size: 80%;">Two-qubit system</a></li> |
211 | 209 | <!-- navigation toc: --> <li><a href="#two-qubit-case" style="font-size: 80%;">Two-qubit case</a></li> |
212 | 210 | <!-- navigation toc: --> <li><a href="#qft-matrix" style="font-size: 80%;">QFT matrix</a></li> |
213 | 211 | <!-- navigation toc: --> <li><a href="#three-qubit-case" style="font-size: 80%;">Three-qubit case</a></li> |
@@ -701,8 +699,8 @@ <h2 id="notation-for-binary-fraction" class="anchor">Notation for binary fractio |
701 | 699 |
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702 | 700 | <!-- !split --> |
703 | 701 | <h2 id="more-notations" class="anchor">More notations </h2> |
704 | | -<p>Then we can see that</p> |
705 | 702 |
|
| 703 | +<p>Then we can see that</p> |
706 | 704 | $$ |
707 | 705 | \begin{equation*} |
708 | 706 | |x\rangle \rightarrow \frac{1}{\sqrt{2^{n}}}\left[|0\rangle+e^{-2 \pi i 0 . x_{n}}|1\rangle\right] \otimes\left[|0\rangle+e^{-2 \pi i 0 . x_{n-1} x_{n}}|1\rangle\right] \otimes \cdots \otimes\left[|0\rangle+e^{-2 \pi i 0 . x_{1} x_{2} \cdots x_{n}}|1\rangle\right] |
@@ -775,11 +773,6 @@ <h2 id="proceeding" class="anchor">Proceeding </h2> |
775 | 773 |
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776 | 774 | <!-- \includegraphics[max width=\textwidth]{2024_03_18_c1d427fa6b85efa365f1g-5} --> |
777 | 775 |
|
778 | | -<!-- !split --> |
779 | | -<h2 id="two-qubit-system" class="anchor">Two-qubit system </h2> |
780 | | - |
781 | | -<p>These notes will be extended, see Hundt section 6.2</p> |
782 | | - |
783 | 776 | <!-- !split --> |
784 | 777 | <h2 id="two-qubit-case" class="anchor">Two-qubit case </h2> |
785 | 778 |
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