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Corrected typos week 1 #3

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Corrected typos week 1 #3

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8 changes: 4 additions & 4 deletions doc/pub/week1/ipynb/week1.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -659,7 +659,7 @@
"id": "f60e43ec",
"metadata": {},
"source": [
"For two arbitrary vectors $\\vert x\\rangle$ and $\\vert y\\rangle$ with the same lentgh, we have the\n",
"For two arbitrary vectors $\\vert x\\rangle$ and $\\vert y\\rangle$ with the same length, we have the\n",
"general expression"
]
},
Expand Down Expand Up @@ -1414,7 +1414,7 @@
"metadata": {},
"source": [
"## Examples of tensor products\n",
"If we now go back to our original one-qubit basis states, we can form teh following tensor products"
"If we now go back to our original one-qubit basis states, we can form the following tensor products"
]
},
{
Expand Down Expand Up @@ -1981,7 +1981,7 @@
"\n",
"Since our original basis $\\vert \\psi\\rangle$ is orthogonal and normalized with $\\vert\\alpha\\vert^2+\\vert\\beta\\vert^2=1$, the new basis is also orthogonal and normalized, as we can see below here.\n",
"\n",
"Since the inverse of a hermitian matrix is equal to its hermitian\n",
"Since the inverse of a unitary matrix is equal to its hermitian\n",
"conjugate/adjoint), unitary transformations are always reversible.\n",
"\n",
"Why are only unitary transformations allowed? The key lies in the way the inner product tranforms.\n",
Expand All @@ -2004,7 +2004,7 @@
"id": "1d1c60c1",
"metadata": {},
"source": [
"or in terms of a matrix-vector notatio we have"
"or in terms of a matrix-vector notation we have"
]
},
{
Expand Down