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." ] },