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fixed a typo in plasma notebook #1424

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fixed a typo in plasma notebook #1424

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99834df
fixed a typo in plasma notebook
orsa-classiq Jan 12, 2026
7998c37
fixed matrix
orsa-classiq Jan 12, 2026
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6 changes: 3 additions & 3 deletions applications/plasma/vlasov_ampere/vlasov_ampere.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -252,7 +252,7 @@
"-1 & 0 & 1 & 0 & \\cdots & 0 \\\\\n",
"0 & -1 & 0 & 1 & \\cdots & 0 \\\\\n",
"\\vdots & \\ddots & \\ddots & \\ddots & \\ddots & \\vdots \\\\\n",
"0 & \\cdots & -1 & 0 & 1 & 0 \\\\\n",
"0 & \\cdots & 0 & -1 & 0 & 1 \\\\\n",
"0 & \\cdots & 0 & 1 & -4 & 3\n",
"\\end{pmatrix} = \n",
"\\frac{1}{2\\Delta x}\\begin{pmatrix}\n",
Expand All @@ -269,7 +269,7 @@
"\\vdots & & & \\vdots \\\\\n",
"\\vdots & & & \\vdots \\\\\n",
"0 & 0 & 0 & 0 & \\cdots & 0 \\\\\n",
"0 & 0 & 0 & 3 & -3 & 1\n",
"0 & 0 & 0 & 1 & -3 & 3\n",
"\\end{pmatrix}$$"
]
},
Expand Down Expand Up @@ -529,7 +529,7 @@
"id": "35",
"metadata": {},
"source": [
"In our setting $$\\partial_v f_0(v) E(x) = \\frac{v}{\\sqrt{2 \\pi}} \\exp \\left(- \\frac{v^2}{2 } \\right)$$ It is a column vector in the matrix, and to load it we have several options. One is to first load one of them ($v$ or $H(v))$ as a state, then use amplitude loading of the other one to create a block encoding of the multiplication. A second option that we use here is to directly prepare the state of the multiplication. The advantage is a better scaling factor. It can be performed as suggested [here](https://github.com/Classiq/classiq-library/blob/main/community/paper_implementation_project/quantum_state_preparation_without_coherent_arithmetic/stateprep_guassian_using_qsvt.ipynb) [[3](#QSVTPrep)] (though for this specific method there would still be a scaling factor issue). For simplicity we use here the general state preparation method (which is not scallable). \n",
"In our setting $$\\partial_v f_0(v) E(x) = \\frac{v}{\\sqrt{2 \\pi}} \\exp \\left(- \\frac{v^2}{2 } \\right)E(x)$$ It is a column vector in the matrix, and to load it we have several options. One is to first load one of them ($v$ or $H(v))$ as a state, then use amplitude loading of the other one to create a block encoding of the multiplication. A second option that we use here is to directly prepare the state of the multiplication. The advantage is a better scaling factor. It can be performed as suggested [here](https://github.com/Classiq/classiq-library/blob/main/community/paper_implementation_project/quantum_state_preparation_without_coherent_arithmetic/stateprep_guassian_using_qsvt.ipynb) [[3](#QSVTPrep)] (though for this specific method there would still be a scaling factor issue). For simplicity we use here the general state preparation method (which is not scallable). \n",
"\n",
"Finally, we zero the columns for which `v != 0`, beacuse we want only columns that encode the field $E$."
]
Expand Down
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