From c9a66739328dd7b3c1a619e1eed7f2da03748764 Mon Sep 17 00:00:00 2001
From: pearcandy <48463813+pearcandy@users.noreply.github.com>
Date: Mon, 26 Jun 2023 15:14:21 +0900
Subject: [PATCH] Update 02_gradients_framework.ipynb

Typo correction: removal of "\\partial" in the second expression on the right-hand side
---
 tutorials/operators/02_gradients_framework.ipynb | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/tutorials/operators/02_gradients_framework.ipynb b/tutorials/operators/02_gradients_framework.ipynb
index ce5357adf..fd0f976e5 100644
--- a/tutorials/operators/02_gradients_framework.ipynb
+++ b/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."
    ]
   },