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authorPrefetch2023-01-01 16:40:56 +0100
committerPrefetch2023-01-01 17:02:29 +0100
commitb1a9b1b9b2f04efd6dc39bd2a02c544d34d1259c (patch)
tree1fd87919deee17e58f8ad19c09abd54bd4a70886 /source/know/concept/quantum-fourier-transform
parent1d700ab734aa9b6711eb31796beb25cb7659d8e0 (diff)
Change license, add Makefile, add image caching control
Diffstat (limited to 'source/know/concept/quantum-fourier-transform')
-rw-r--r--source/know/concept/quantum-fourier-transform/index.md6
1 files changed, 4 insertions, 2 deletions
diff --git a/source/know/concept/quantum-fourier-transform/index.md b/source/know/concept/quantum-fourier-transform/index.md
index 1c68ad0..217596b 100644
--- a/source/know/concept/quantum-fourier-transform/index.md
+++ b/source/know/concept/quantum-fourier-transform/index.md
@@ -172,13 +172,15 @@ The quantum circuit to execute the mentioned steps is illustrated below,
excluding the swapping part to get the right order.
Here, $$R_m$$ means $$R_\phi$$ with $$\phi = 2 \pi / 2^m$$:
-{% include image.html file="qft-circuit-noswap.png" width="100%" alt="QFT circuit, without final swap" %}
+{% include image.html file="qft-circuit-noswap.png" width="100%"
+ alt="QFT circuit, without final swap" %}
Again, note how the inputs $$\Ket{x_j}$$ and outputs $$\Ket{k_j}$$ are in the opposite order.
The complete circuit, including the swapping at the end,
therefore looks like this:
-{% include image.html file="qft-circuit-swap.png" width="85%" alt="QFT circuit, including final swap" %}
+{% include image.html file="qft-circuit-swap.png" width="85%"
+ alt="QFT circuit, including final swap" %}
For each of the $$n$$ qubits, $$\mathcal{O}(n)$$ gates are applied,
so overall the QFT algorithm is $$\mathcal{O}(n^2)$$.