From 23c619ca4c7202c1269a8bf65223f34901cf3598 Mon Sep 17 00:00:00 2001
From: JessicaJohnBritto <79603974+JessicaJohnBritto@users.noreply.github.com>
Date: Thu, 19 Sep 2024 17:42:34 +0530
Subject: [PATCH] updated tutorials

---
 ...or Interactions and External Fields.ipynb} | 73 +++++++++++------
 ...b => Type-2 Long Range Interactions.ipynb} | 79 ++++++++++++++-----
 2 files changed, 112 insertions(+), 40 deletions(-)
 rename Tutorial Notebooks/{SS+S_NN.ipynb => Type-1 Nearest Neighbor Interactions and External Fields.ipynb} (99%)
 rename Tutorial Notebooks/{WalshPSeq_XX+YY_LongRangeInteractions.ipynb => Type-2 Long Range Interactions.ipynb} (99%)

diff --git a/Tutorial Notebooks/SS+S_NN.ipynb b/Tutorial Notebooks/Type-1 Nearest Neighbor Interactions and External Fields.ipynb
similarity index 99%
rename from Tutorial Notebooks/SS+S_NN.ipynb
rename to Tutorial Notebooks/Type-1 Nearest Neighbor Interactions and External Fields.ipynb
index c8c28b4..4535d04 100644
--- a/Tutorial Notebooks/SS+S_NN.ipynb	
+++ b/Tutorial Notebooks/Type-1 Nearest Neighbor Interactions and External Fields.ipynb	
@@ -1,5 +1,13 @@
 {
  "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "1e6f4176-5bd9-49d2-9405-7d95fd749e58",
+   "metadata": {},
+   "source": [
+    "# Type-1 Nearest Neighbor Interactions and External Fields"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 5,
@@ -13,11 +21,51 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3d3c926",
+   "id": "5147cf90-36bb-4cf9-983b-626294bce527",
+   "metadata": {},
+   "source": [
+    "## <font>Introduction\n",
+    "An example of SS+S Nearest Neighbor Interactions and External Fields is demonstrated to decouple these interactions using Pulse sequences.\n",
+    "\n",
+    "Plot of $\\log(|1 - F|)$ vs Time is plotted for different values of $\\tau$ (this is the time period after which the pulse sequences are repeated upto Time $T$) for different values of $\\alpha$.</font>"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "3f8e32d7-dda6-4d5b-9658-e9dfd70f83d6",
+   "metadata": {},
+   "source": [
+    "## <font>Definitions</font>"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "9dd2e333-7914-4910-a697-5c34e3e00b31",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "params = {\n",
+    "'N' : 1,\n",
+    "'tau_list':[1, 0.5, 0.1, 0.05],\n",
+    "'tau': 0.1,\n",
+    "'n': 2,\n",
+    "'alpha': 1,\n",
+    "'T': 10,\n",
+    "'R':[],\n",
+    "'r':[],\n",
+    "'psi_nm':[],\n",
+    "'opH': [X, Y], # Need to change this specific to Model\n",
+    "'pulses': [I, Z] # Need to change this specific to Model\n",
+    "}"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "b1b6e6f8-3463-4c8a-9491-a8914964977d",
    "metadata": {},
    "source": [
-    "##### Here an example for SS+S Type Hamiltonians with nearest neighbor (NN) interactions is demonstrated to decouple these interactions using Pulse sequences. This can be also done for SS with NN interactions.\n",
-    "##### Plot of Log(|1 - F|) vs Time is plotted for different values of tau (this is the time period after which the pulse sequences are repeated upto Time T) and number of qubits. "
+    "## <font>Plots</font>"
    ]
   },
   {
@@ -98,26 +146,8 @@
     }
    ],
    "source": [
-    "params = {\n",
-    "'N' : 1,\n",
-    "'tau_list':[1, 0.5, 0.1, 0.05],\n",
-    "'tau': 0.1,\n",
-    "'n': 2,\n",
-    "'alpha': 1,\n",
-    "'T': 10,\n",
-    "'R':[],\n",
-    "'r':[],\n",
-    "'psi_nm':[],\n",
-    "'opH': [X, Y], # Need to change this specific to Model\n",
-    "'pulses': [I, Z] # Need to change this specific to Model\n",
-    "}\n",
-    "\n",
-    "# print(r)\n",
-    "# print(R)\n",
     "mss=10\n",
     "\n",
-    "# print(params['tau_list'])\n",
-    "\n",
     "for i in range(1, 8, 1):\n",
     "    params['N'] = i\n",
     "    params['pulses'] = [I, Z, X, Y]\n",
@@ -137,7 +167,6 @@
     "        uOp, t = TimeEvolOpForTFH(params, TFH = TogglingFrame_Ising(params)+TogglingFrameH(params))   \n",
     "        psi_t = [normalizeWF(u@psi_nm) for i,u in enumerate(uOp)]\n",
     "        F = [1-np.power(np.abs(np.vdot(psi_nm, pt)), 2) for pt in psi_t]\n",
-    "    #     print(F)\n",
     "        plt.plot(t, F, \"--o\", label = f\"τ={tau}\", ms=mss)\n",
     "        mss -=2\n",
     "        plt.yscale(\"log\")\n",
diff --git a/Tutorial Notebooks/WalshPSeq_XX+YY_LongRangeInteractions.ipynb b/Tutorial Notebooks/Type-2 Long Range Interactions.ipynb
similarity index 99%
rename from Tutorial Notebooks/WalshPSeq_XX+YY_LongRangeInteractions.ipynb
rename to Tutorial Notebooks/Type-2 Long Range Interactions.ipynb
index ae893c2..4529dfa 100644
--- a/Tutorial Notebooks/WalshPSeq_XX+YY_LongRangeInteractions.ipynb	
+++ b/Tutorial Notebooks/Type-2 Long Range Interactions.ipynb	
@@ -1,5 +1,21 @@
 {
  "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "957703ca-a702-4036-ad19-ef0d077815dd",
+   "metadata": {},
+   "source": [
+    "# Type-2 Long Range Interactions"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "d09d3745-72a5-440e-9d94-63578b3d621b",
+   "metadata": {},
+   "source": [
+    "## <font>Importing Packages</font>"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 1,
@@ -13,12 +29,23 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3a98fadb",
+   "id": "3fd2e73d-502c-4964-92da-c400d2d52968",
    "metadata": {},
    "source": [
-    "##### Here an example for XX+YY Long-range interacting Hamiltonians is demonstrated to decouple these interactions using Walsh Pulse sequences. \n",
-    "##### Plot of Log(|1 - F|) vs Time is plotted for different values of tau (this is the time period after which the pulse sequences are repeated upto Time T) for different values of α.\n",
-    "#### α = 0.5: Trapped Ion Systems, α = 3: Dipolar Systems"
+    "## <font>Introduction\n",
+    "An example of XX+YY Long-range interacting Hamiltonians is demonstrated to decouple these interactions using Walsh Pulse sequences.\n",
+    "\n",
+    "Plot of $\\log(|1 - F|)$ vs Time is plotted for different values of $\\tau$ (this is the time period after which the pulse sequences are repeated upto Time $T$) for different values of $\\alpha$.\n",
+    "\n",
+    "$\\alpha = 0.5$: Trapped Ion Systems, $\\alpha = 3$:  Dipolar Systems</font>"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4eb10dfd-54ee-46c0-960c-8eedfa1d329d",
+   "metadata": {},
+   "source": [
+    "## <font>Definitions</font>"
    ]
   },
   {
@@ -42,6 +69,36 @@
     "}"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "e3ce8b18-b190-4e44-bd45-a22c546d172d",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "params['alpha_list'] = [0.5, 1, 2, 3, 6]\n",
+    "params['tau_list'] = [0.05, 0.1, 0.5, 1]\n",
+    "params['alpha'] = params['alpha_list'][0]\n",
+    "max_index = 8\n",
+    "Wx, Wy = list(range(0, max_index, 1)), list(range(0, max_index, 1))\n",
+    "# Wx, Wy = [3, 4], [3, 4]\n",
+    "params['N'] = len(Wx)\n",
+    "params['pulses'] = WF_WIList(params, Wx = Wx, Wy = Wy)\n",
+    "Pseq = params['pulses']\n",
+    "params['n'] = len(params['pulses'])\n",
+    "params['opH'] = [X, Y] \n",
+    "n, N, r, op, pulses, psi_nm, R, alpha = initialVals(params)\n",
+    "params['R'], params['r'] = R, r"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "75e7745e-35fe-4f00-b5fb-11f32d7d1622",
+   "metadata": {},
+   "source": [
+    "## <font>Plots</font>"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 3,
@@ -100,20 +157,6 @@
     }
    ],
    "source": [
-    "params['alpha_list'] = [0.5, 1, 2, 3, 6]\n",
-    "params['tau_list'] = [0.05, 0.1, 0.5, 1]\n",
-    "params['alpha'] = params['alpha_list'][0]\n",
-    "max_index = 8\n",
-    "Wx, Wy = list(range(0, max_index, 1)), list(range(0, max_index, 1))\n",
-    "# Wx, Wy = [3, 4], [3, 4]\n",
-    "params['N'] = len(Wx)\n",
-    "params['pulses'] = WF_WIList(params, Wx = Wx, Wy = Wy)\n",
-    "Pseq = params['pulses']\n",
-    "params['n'] = len(params['pulses'])\n",
-    "params['opH'] = [X, Y] \n",
-    "n, N, r, op, pulses, psi_nm, R, alpha = initialVals(params)\n",
-    "params['R'], params['r'] = R, r\n",
-    "\n",
     "for alpha in params['alpha_list']:\n",
     "    params['alpha'] = alpha\n",
     "\n",