cleanup

exercises/Exercise3.ipynb

@@ -15,11 +15,11 @@
    "source": [
     "## 1\n",
     "\n",
-    "Given an abitrary single qubit state $a|0\\rangle +b|1\\rangle$:\n",
+    "Given an arbitrary single qubit state $a|0\\rangle +b|1\\rangle$:\n",
     "\n",
-    "(a) Write down the correponding density matrix.\n",
+    "(a) Write down the corresponding density matrix.\n",
     "\n",
-    "(b) Write down the density matrix representing the effect of applying an $X$ with probability $q_x$, $Y$ with probability $q_y$ and $Z$ with probability $q_z$.\n",
+    "(b) Write down the density matrix representing the effect of applying an $X$ with probability $q_x$, $Y$ with probability $q_y$, $Z$ with probability $q_z$ (and doing nothing with probability $1-q_x-q_y-q_z$).\n",
     "\n",
     "(c) Write down the density matrix for representing the effect of replacing the state with $I/2$ with probability $p$.\n",
     "\n",