Update 02_gradients_framework.ipynb

tutorials/operators/02_gradients_framework.ipynb

@@ -548,7 +548,7 @@
     "\n",
     "Unlike the other methods, finite difference gradients are numerical estimations rather than analytical values.\n",
     "This implementation employs a central difference approach with $\\epsilon \\ll 1$\n",
-    "$$ \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta} \\approx \\frac{1}{2\\epsilon} \\left(\\langle\\psi\\left(\\theta+\\epsilon\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta+\\epsilon\\right)\\rangle - \\partial\\langle\\psi\\left(\\theta-\\epsilon\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta-\\epsilon\\right)\\rangle\\right).$$\n",
+    "$$ \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta} \\approx \\frac{1}{2\\epsilon} \\left(\\langle\\psi\\left(\\theta+\\epsilon\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta+\\epsilon\\right)\\rangle - \\langle\\psi\\left(\\theta-\\epsilon\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta-\\epsilon\\right)\\rangle\\right).$$\n",
     " Probability gradients are computed equivalently."
    ]
   },