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Diffstat (limited to 'source/know/concept/quantum-gate')
| -rw-r--r-- | source/know/concept/quantum-gate/cnot.avif | bin | 0 -> 1190 bytes | |||
| -rw-r--r-- | source/know/concept/quantum-gate/cu.avif | bin | 0 -> 1213 bytes | |||
| -rw-r--r-- | source/know/concept/quantum-gate/index.md | 14 | ||||
| -rw-r--r-- | source/know/concept/quantum-gate/swap.avif | bin | 0 -> 1166 bytes |
4 files changed, 5 insertions, 9 deletions
diff --git a/source/know/concept/quantum-gate/cnot.avif b/source/know/concept/quantum-gate/cnot.avif Binary files differnew file mode 100644 index 0000000..75e36ae --- /dev/null +++ b/source/know/concept/quantum-gate/cnot.avif diff --git a/source/know/concept/quantum-gate/cu.avif b/source/know/concept/quantum-gate/cu.avif Binary files differnew file mode 100644 index 0000000..e58c66a --- /dev/null +++ b/source/know/concept/quantum-gate/cu.avif diff --git a/source/know/concept/quantum-gate/index.md b/source/know/concept/quantum-gate/index.md index 8c251be..e8ff579 100644 --- a/source/know/concept/quantum-gate/index.md +++ b/source/know/concept/quantum-gate/index.md @@ -14,6 +14,7 @@ the number of possible quantum gates is uncountably infinite, so we only consider the most important examples here. + ## One-qubit gates As an example, consider the following must general single-qubit state $$\Ket{\psi}$$: @@ -165,6 +166,7 @@ This is the definition of universality: any state can be approximated. + ## Two-qubit gates As an example, let us consider @@ -202,9 +204,7 @@ but not always in the basis of $$\Ket{0}_1$$, $$\Ket{1}_1$$, $$\Ket{0}_2$$ and $ With that said, the first two-qubit gate is $$\mathrm{SWAP}$$, which simply swaps $$\Ket{\psi_1}$$ and $$\Ket{\psi_2}$$: -<a href="swap.png"> -<img src="swap.png" style="width:22%"> -</a> +{% include image.html file="swap.png" width="22%" alt="SWAP gate diagram" %} $$\begin{aligned} \boxed{ @@ -231,9 +231,7 @@ $$\begin{aligned} Next, there is the **controlled NOT gate** $$\mathrm{CNOT}$$, which "flips" (applies $$X$$ to) $$\Ket{\psi_2}$$ if $$\Ket{\psi_1}$$ is true: -<a href="cnot.png"> -<img src="cnot.png" style="width:22%"> -</a> +{% include image.html file="cnot.png" width="22%" alt="CNOT gate diagram" %} $$\begin{aligned} \boxed{ @@ -258,9 +256,7 @@ More generally, from every one-qubit gate $$U$$, we can define a two-qubit **controlled U gate** $$\mathrm{CU}$$, which applies $$U$$ to $$\Ket{\psi_2}$$ if $$\Ket{\psi_1}$$ is true: -<a href="cu.png"> -<img src="cu.png" style="width:22%"> -</a> +{% include image.html file="cu.png" width="22%" alt="CU gate diagram" %} $$\begin{aligned} \boxed{ diff --git a/source/know/concept/quantum-gate/swap.avif b/source/know/concept/quantum-gate/swap.avif Binary files differnew file mode 100644 index 0000000..a70c43c --- /dev/null +++ b/source/know/concept/quantum-gate/swap.avif |
