Repository: tomekzaw/ewl (language: python)

Issue:
Calculate probabilities symbolically



Discussion / hints:

Fix patch:
diff --git a/README.md b/README.md
index db35e27..caa18f4 100644
--- a/README.md
+++ b/README.md
@@ -30,6 +30,8 @@ ewl.draw()
 
 ewl.draw_transpiled(backend_name='ibmq_athens', optimization_level=3)
 
+ewl.calculate_probs()
+
 ewl.simulate_probs(backend_name='statevector_simulator')
 
 ewl.simulate_counts(backend_name='qasm_simulator')
diff --git a/examples/example.ipynb b/examples/example.ipynb
index 7160732..b0d0d4a 100644
--- a/examples/example.ipynb
+++ b/examples/example.ipynb
@@ -108,7 +108,7 @@
     {
      "data": {
       "text/plain": [
-       "<ewl.EWL at 0x1eb7e57d8e0>"
+       "<ewl.EWL at 0x2d4440b75e0>"
       ]
      },
      "execution_count": 6,
@@ -207,9 +207,9 @@
    "outputs": [
     {
      "data": {
-      "image/png": "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\n",
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q0KGDFixYoM2bN2vKlClavXq1xo0bJ0lKTU1VTEyM9u7dq3nz5unFF1/Ud999p6pVq2ro0KFKTEzMdL7JkyfbAoOFCxdqxYoVevTRRxUfHy9JSktL06FDhzKFDJGRkdkuwcjalledhZGcnKxNmzbZaswqISFBy5cvV1hYmM6ePZvv80dGRur999/Xxx9/LA+PYn/lDQAAAADAxRj6m+pzzz1ne5yenq727dvrwIED2rZtmyTp8OHDSk5OVoMGDbRhwwa5uWXkJMnJyerTp4/OnDmj5s2bS5JWrlypN998U4sWLdKQIUNs5+3Vq5ft8dGjR5WUlKRWrVpJkk6fPq34+HiFhobajsmpLa86HSElJUW3bt3K1u7j46ONGzeqR48eCgsL0/bt21WnTh27zpmamqoRI0ZoxIgReuCBBxxWKwAAAAAAjmJYEJGWlqZvv/1W8+fP188//6zLly/bnruzYiEqKkqS9MYbb9hCCEm21QM1atSwtU2ePFldunTJFEJktX//fkmyBRF3NqW8O3TI2mZPnQkJCXryySd1/PhxlS5dWv7+/vroo49Uv359u/ujR48edh03ZMgQRURE2HXsrFmzdOnSJb311lt215ETi8VSqNcDAAAAQHEy8e2PJWX8rnT3Y2dmRs1Wq9Wu4wwLIoYMGaKVK1dq7NixmjhxoipXriwPDw917drVtsohKipKvr6+atu2babXRkdHKzAwUH5+fpKkuLg4HT58ONPKhZxERUWpRo0a8vf3l5QROlSqVCnbRpV3t9lTp8Vi0fPPP69u3bpJkj744AMNGzZM//nPf+zujxkzZtjOl1V6eromTZqkkydPavz48XadLy4uTq+//ro++OADWa1WXbt2zXau27dv69q1aypTpow8PT3trhEAAAAAAEczJIiIiYnR119/rU8//VTDhw+3te/cuVM3btywrUaIiorKtFrhjqybSV64cEGSFBAQkOv7RkVF2VZD5HSerG321lmxYkVbCCFJ7du317vvvpt7J2TRrl07de7cOVt7Wlqahg0bptjYWK1atSrTpSa5iY2N1a1btzRy5EiNHDky03Nnz56Vr6+vvvzySz3xxBN5nsveFAsAAAAASoJJ73wiKeN3pbsfOzNnrtmQzSrj4uIkSY0bN7a13b5923ZXh9DQUFmtVkVHR2cLItLT0xUdHZ0pULhziUZMTEyu75v1dZGRkdnOf3ebPXXmZO7cuerbt2+utdgrMTFRx44d0+rVq+0OISQpJCREO3bsyPafv7+/OnXqpB07dqh79+4OqREAAAAAgIIyZEVEy5YtVapUKU2aNEmTJ0/W1atXNXv2bCUkJMjd3V0hISGKjY1VYmJitjtaHD9+XDdv3sy0kqFWrVrq0qWLpk+fLnd3d4WGhio+Pl5btmzR4MGD1bFjR8XGxuratWu21505c0ZXr17NdP6sbfbUmdXrr7+uEydOaPv27Xb1RbVq1XJNoXx9fbVnz558X7tTsWLFHFdYlCpVSlWqVMnxOQAAAAAAjGZIEBEQEKDFixdrwoQJ6tOnj4KDgzVhwgStXbtW3t7e8vHxsW1UmdOKBUnZLqlYunSppkyZog8//FAXL16Un5+fHnzwQTVt2lTS/za+zM9GlfbUebc333xTa9eu1ZYtW7I9VxjOvukJAAAAAAAFZbE6y0UiLub111/X+vXrtWnTJlWsWNHscgAAAAAAReTOHgtvTxyZ6bEzc+aaDbtrRnHy008/aerUqapXr16mSx6io6NNqwkAAAAAAFdAEFEAwcHBTrPbKAAAAAAArsSQu2YAAAAAAABIBBEAAAAAAMBABBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBEAAAAAAMAwBBGw29mzZ9W1a1c1adJEwcHBeumll8wuCQAAAACcWnh4uIKDg1W/fn2NGDFCaWlpZpeUp+eee06BgYHy8PAokvMTRMBuHh4eeuedd3TkyBFFRUXphx9+0OrVq80uCwAAAACcUnp6ukaMGKFly5bpxIkTSkxM1FdffWV2WXnq37+/9u3bV2TnJ4iA3apXr642bdpIkry8vNSqVSvFxcWZXBUAAAAAOKcff/xRNWrUUNOmTSVJw4cP14oVK0yuKm8dOnRQtWrViuz8BBEokPj4eK1atUrdu3c3uxQAAAAAcErnzp1TzZo1bV/XqlVLZ8+eNbEi51A0F3ygWEtJSVG/fv303HPPqXHjxmaXAwAAAAAOte/QMe3cF5Ot/f3PV2R77F/ZVwMe6SI3iyXb8VarteiKzCLpVrL+vWKTklNuZ2rPqWZJ+nOvTgqsVsWw+u7GigjkS1pamh5//HGFhIRo3LhxZpcDAAAAAA4X0rS+JOni5au6ePmqrT3r48u/JqjT/S1yDCEkqWbNmplWQMTFxSkwMLBIai5dyluhzRrmWfPFy1dVw9/PtBBCIohAPo0cOVLlypXTe++9Z3YpAAAAAFAkPNzdNfCRLnJ3z/1X5m4dQlXDv/I9n2/Tpo3OnTunw4cPS5I+++wzPfbYYw6tNdP7tWikJvVr53qMb4Vy+mPX9kVWgz0IImC3nTt3auHChdq3b59atWqlkJAQffDBB2aXBQAAAAAOV61KJfXodP89n68d4K+wti1zPYe7u7s+/fRT9evXT/Xq1VPZsmX15JNPOrpUG4vFoj/37KQyPqVyfl7SgN6dVcrbK9fzjBo1SoGBgUpLS1NgYKDGjBnj2DqtRl60gmLLarXKco/lSAAAAADgitKtVn367VrFxl3M1O7l6aHnhvWTn295kyrL3U8/n9aXKzdnaw9r21K9Orc1oaLMWBEBh/jPfw/qy+82KzU1zexSAAAAAMAh3CwW9X+4s7y9PDO1P9K1vdOGEJIU3KCO2jRvlKmtWpVK6t6hjUkVZUYQ4SBTp06VxWJRTEyMevfurbJly6p69eqaOXOmJGnDhg1q3bq1fHx81KpVK/3www+ZXr9r1y716NFDFSpUUOnSpdWxY8dsx+zbt08DBgxQrVq1VLp0adWvX19/+9vfdP369UzHnThxQv369VO1atXk7e2tgIAAPfroo7p69aqKQkrKbUXsPaDbt1Pl4eFeJO8BAAAAAGbwrVBOj3Z/0PZ1k/q1dF+LRrm8wjn8sWs7VapQTpLk7u6mgY90cZrf1wgiHKx///76wx/+oFWrVql79+6aMGGCJk2apPHjx2vChAlatmyZrFar+vTpoxs3bkiSNm/erM6dO8tisejzzz/X8uXLVa5cOXXt2lU//vij7dynT59W8+bN9eGHH2rjxo166aWXtGHDBj388MOZaujdu7fOnDmjefPmacuWLZozZ478/f2VlJRUJN/z7qjD+i3plro+GFok5wcAAAAAM7UObqDghnVUpnQpPdazk0tclu7t7aX+vTvLIumhjvepelU/s0uyYY8IB5k6dapef/11zZ8/X3/9618lScnJyfL399fvv/+u48ePq06dOpKk7du3q2vXrlq+fLn+/Oc/q2HDhqpcubJ++OEHubllZEOpqalq1qyZgoKCtH79+hzfMzU1Vbt371anTp0UFRWlkJAQ/frrr6pSpYpWrVqlPn36FOh7mfTOJwV6HQAAAACg5Hp74ki7jmNFhIPdvTrB29tbQUFBatKkiS2EkKTGjRtLks6ePasTJ07o559/1hNPPKH09HSlpqYqNTVVktStWzdFRETYXnfz5k29+uqratCggUqVKiVPT0916tRJknTs2DFJkp+fn4KCgjRp0iR98sknOnr0aFF/ywAAAAAA2M3D7AKKm0qVKmX62svLS6VKlcrWJkm3bt3SpUuXJEljxoy55y1RkpKSVLp0aT399NPasGGDpk6dqtatW6tcuXI6e/asHnvsMdtlFxaLRVu3btUbb7yhV199VVeuXLHdbmXixIl2LSGyN8VKSbmtdxZ8o4BqlfX0gIfzfgEAAAAAoMQjiDCZn1/GdTpTp05V7969czzG29tbt27d0nfffacpU6Zo3LhxtueyblQpSXXr1tXnn38uq9Wqn376SQsXLtRLL72kypUra8SIEXnWlN9LM46fOsflHAAAAABQwtn7j9oEESZr1KiRgoKCdOjQIb322mv3PC45OVmpqany9Mx825iFCxfe8zUWi0XNmjXT7NmztWDBAh06dMhhdQMAAAAAUBAEESazWCxasGCBevfurT59+uiJJ55Q1apVdeXKFe3fv1+3b9/WzJkzVaFCBbVv316zZs2Sv7+/atSooaVLl2rv3r2Zznfw4EH9/e9/14ABA9SgQQNJ0rJly5SUlKQePXrYVZM9KVbE3gPaEL5Xo5/oo9oB/vn/xgEAAAAAJRJBhBPo3r27du3apenTp2v06NG6ceOGqlatqtatW+uZZ56xHbd48WKNHTtWzz//vNzd3fXII49oyZIlatOmje2YatWqqU6dOnr//fd17tw5eXp6qkmTJlq6dGm223wWVErKbX2/94Aa1g0khAAAAAAA5Au370S+/XIlXl99t0X9e3cmiAAAAAAA5AtBBAokPT1dbm7c/RUAAAAAkD8EEQAAAAAAwDD8kzYAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADAMQQQAAAAAADDM/wPsBdkDBwuagwAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "<Figure size 1262.93x385.28 with 1 Axes>"
+       "<Figure size 1383.33x385.28 with 1 Axes>"
       ]
      },
      "execution_count": 10,
@@ -224,6 +224,34 @@
   {
    "cell_type": "code",
    "execution_count": 11,
+   "id": "4eb91ccb",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\left[\\begin{matrix}0\\\\0\\\\\\frac{1}{2}\\\\\\frac{1}{2}\\end{matrix}\\right]$"
+      ],
+      "text/plain": [
+       "Matrix([\n",
+       "[  0],\n",
+       "[  0],\n",
+       "[1/2],\n",
+       "[1/2]])"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "ewl.calculate_probs()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
    "id": "surprising-shuttle",
    "metadata": {},
    "outputs": [
@@ -241,7 +269,7 @@
        "<Figure size 504x360 with 1 Axes>"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -254,7 +282,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 13,
    "id": "b607fbd2",
    "metadata": {},
    "outputs": [
@@ -262,17 +290,17 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "{'11': 503, '01': 521}\n"
+      "{'01': 532, '11': 492}\n"
      ]
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 504x360 with 1 Axes>"
       ]
      },
-     "execution_count": 12,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -285,7 +313,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 14,
    "id": "insured-opera",
    "metadata": {
     "scrolled": false
@@ -296,17 +324,17 @@
      "output_type": "stream",
      "text": [
       "Job Status: job has successfully run\n",
-      "{'00': 48, '01': 458, '10': 49, '11': 469}\n"
+      "{'00': 46, '01': 489, '10': 42, '11': 447}\n"
      ]
     },
     {
      "data": {
-      "image/png": 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tmDZtGo899hhPP11MJXz88cezZcsWli9fDsDo0aMZPnw4zc3NAAwePJjJkyczb948tm0rnkc+ffp0Hn30UZ599lkAJk2axKZNm1ixYgUAY8aMYejQoSxatAiAIUOGMGnSJO6//34yk4hgxowZLFmyhOeffx6AyZMn89xzz7Fq1aouHafepDcfJ3+eev44wRGd/t/b1zz11FNVOU67Epm1meAnIkZSjLCdkZlz27RfCbwvMyfs4r1jgQbgVOBLwCcy89bKsq3A32Tmd9qs/0Hg5swcuKuampqacvt/WvUuH7mupyuonpsv6ekK1Jv5s/JaEbEwM5s6WrbHE7bvgQ1AKzC8XftwYN2u3piZKyvf/joihlNcnr210rZuT7YpSVJXle3TLGVXfZqZuTUiFgKnAz9os+h0ijlty+oHtD2DnF/ZxjXttvlgF7YpSdJule3TLGN3fZoAXwFujYiHgQeAC4CRwE0AEfEdgMz8YOX1RcBKYFnl/dOBy/nPkbNQ3MIyNyL+F3AHcCbw50Dv6tiSJPW4MhO27+1tJm239f2IGAZ8BjgcWAq8o80tLe17pPtT9GGOAbYBvwf+F5WQrWzzwYh4D/D3FBMs/B4423s0JUnVVss+TQAqkxLc2Mmy09q9vg64rsQ2b6f8GbEkSXukZvdpSpK0r6vlfZqSJO3TutSnWc3+TUmS9jWGoCRJJXU5NCNickR8JyKaK1+3tnvepiRJvVKXQjMi3kfxXM3DgZ9UvoYDD0fE+6tfniRJ9aOrt5x8HvhsZn6hbWNEfIriPsnvVqswSZLqTVcvzx4K/EsH7T8ADtv7ciRJql9dDc1fAKd10H4acP/eFiNJUj3r6oTtc4CrI6IJeKjSdipwFjs/GFqSpF5nTyds3/Eg5za+RifT40mS1BvUdMJ2SZL2ZQaiJEkldfkpJxExBHg7xWO89m+7LDP/rkp1SZJUd7oUmhFxKvBjYAvF7SdrKSY62AKsoniepSRJvVJXL89eA/wz0Ai8AryZ4oyzmeJh0ZIk9VpdDc0TgRsyM4FWYGBmrgeuwFtOJEm9XFdDc2ub79cDR1a+3wyMrEpFkiTVqa4OBFoEnAI8BtwH/H1EDAfeD/yquqVJklRfunqm+Wngycr3nwGeoZjUYAivnexAkqRepUtnmpnZ3Ob7ZyhuPZEkqU/o8n2aABFxFHBs5WVLZq6oXkmSJNWnrt6nOQz4JjAT+ON/NsePgHMz89kq1ydJUt3oap/m/wXGA28CDqh8TQfGAjdXtzRJkupLVy/PngH8l8yc36btgYj4W+D/Va8sSZLqT1fPNJ8BXuyg/SXAS7OSpF6tq6H5d8B1EdG4vaHy/Zdx3llJUi+328uzEfFrINs0jQVWRcTayuvt89AeRtHnKUlSr1SmT/P2bq9CkqR9wG5DMzM/V4tCJEmqd3s6ucGbgeMoLts+mpn3VbMoSZLqUVcnN2gE/g14A/85B+3IiGgGzszMJzt9syRJ+7iujp79KsVzNMdn5ujMHA0cXWn7arWLkySpnnT18uzpwGmZuXJ7Q2auiIiLgXurWpkkSXWmq2easPPtJ7tqkySpV+lqaN4LfC0iRm9viIgjgOvwTFOS1Mt1NTQvBl4HrIiIxyPiceD3lbaLq12cJEn1pKt9ms8CfwqcBvxJpe03melk7ZKkXq90aEZEf+APwKTMvAe4p9uqkiSpDpW+PJuZrcDjwP7dV44kSfWrq32a/xv4YkQc0h3FSJJUz7rap3k5xVNO1kbEGto9WzMzT6xWYZIk1ZuuhubtFPdkRjfUIklSXSsVmhFxIHAN8N+A/SjuybwoMzd0X2mSJNWXsn2anwM+DPwYuA14C/D1bqpJkqS6VPby7FnAeZk5GyAi/hl4ICL6V0bVSpLU65U90xwN/HL7i8x8GNgGjOyOoiRJqkdlQ7M/sLVd2zb28CHWkiTti8qGXgDfjYgtbdoOAG6OiJe2N2TmzGoWJ0lSPSkbmt/uoO271SxEkqR6Vyo0M/O/d3chkiTVuz15CLUkSX2SoSlJUkmGpiRJJRmakiSVZGhKklSSoSlJUkmGpiRJJRmakiSVZGhKklSSoSlJUkmGpiRJJRmakiSVVPPQjIiPRcTKiHglIhZGxJt2se7hEfG9iPhtRLRGxC0drPPhiMgOvg7o1h2RJPU5NQ3NiDgbuB74AnAy8CAwJyKO6OQtA4ENwBeBBbvY9EvA4W2/MvOVatUtSRLU/kzzMuCWzLw5M3+TmRcBTwEf7WjlzFyVmRdn5i3Ac7vYbmbmurZf1S9dktTX1Sw0I2J/4A3A3e0W3Q382V5uflBEPB4RayLiRxFx8l5uT5Kk1yj1EOoqOQToD6xv174eeMtebHcZcC6wBDgI+ATwQERMyszl7VeOiPOB8wFGjhzJfffdB8C4ceM46KCDWLJkCQDDhg1j4sSJzJ07F4ABAwYwbdo0Fi1axMaNGwFoampi/fr1rF69GoCjjz6agQMHsnTpUgAOO+wwjjnmGObNmwfAwIEDmTp1Ks3NzWzevBmAKVOmsGbNGtauXQvAhAkT6N+/Py0tLQCMGDGCsWPHMn/+fAAGDRrElClTWLBgAS+//DIAU6dOZeXKlaxbV5xgH3fccbS2trJs2TIAGhsbGTVqFAsWFFe4GxoaaGpqYv78+WzZsgWAadOm8dhjj/H0008DcPzxx7NlyxaWLy/+CUePHs3w4cNpbm4GYPDgwUyePJl58+axbds2AKZPn86jjz7Ks88+C8CkSZPYtGkTK1asAGDMmDEMHTqURYsWATBkyBAmTZrE/fffT2YSEcyYMYMlS5bw/PPPAzB58mSee+45Vq1a1aXj1Jv05uPkz1PPHyforHds3/PUU09V5TjtSmRmN+5Cm78oYiSwFpiRmXPbtF8JvC8zJ+zm/T8CNmTmh3ezXn9gMfCLzLx4V+s2NTXl9v+06l0+cl1PV1A9N1/S0xWoN/Nn5bUiYmFmNnW0rJZ9mhuAVmB4u/bhQNX6IDOzFWgGjq7WNiVJghqGZmZuBRYCp7dbdDrFKNqqiIgATqQYYCRJUtXUsk8T4CvArRHxMPAAcAEwErgJICK+A5CZH9z+hog4qfLtYOCPlddbM7Olsvwq4CFgeWWdiylCs8MRuZIk7amahmZmfj8ihgGfobifcinwjsx8vLJKRz3Sj7R7/VfA48CYyuvXA98ARgB/qKw/PTMfrmrxkqQ+r9ZnmmTmjcCNnSw7rYO22M32LgUurUpxkiTtgnPPSpJUkqEpSVJJhqYkSSUZmpIklWRoSpJUkqEpSVJJhqYkSSUZmpIklWRoSpJUkqEpSVJJhqYkSSUZmpIklWRoSpJUkqEpSVJJhqYkSSUZmpIklWRoSpJUkqEpSVJJhqYkSSUZmpIklWRoSpJUkqEpSVJJhqYkSSUZmpIklWRoSpJUkqEpSVJJhqYkSSUZmpIklWRoSpJUkqEpSVJJhqYkSSUZmpIklWRoSpJUkqEpqa799Kc/ZcKECYwfP54vfvGLr1m+ZcsWzj77bMaPH8+UKVNYtWrVTsufeOIJGhoauPbaa3e0/eM//iMTJ07k+OOP55xzzuGVV17p7t1QL2Fo9pBqfxAsW7aMk046acfX4MGDue6662qwJ1L3aW1t5eMf/zhz5syhpaWF2267jZaWlp3W+eY3v8mQIUP43e9+x6WXXsoVV1yx0/LLLruMt7/97Tter127lq9+9as0NzezdOlSWltbmT17dk32R/s+Q7MHdMcHwYQJE1i8eDGLFy9m4cKFHHjggZx55pk12R+puzz88MOMHz+ecePGsf/++/Oe97yHO++8c6d17rzzTj70oQ8B8M53vpN7772XzATgjjvuYOzYsUycOHGn92zbto2XX36Zbdu28dJLLzFy5Mja7JD2eYZmD+iuD4Lt7r33Xo466iiOPPLI7t0RqZutXbuW0aNH73g9atQo1q5d2+k6AwYM4OCDD+bZZ59l8+bNfOlLX+Kqq67aaf3GxkYuv/xyjjjiCA4//HAOPvhg3vrWt3b/zqhXMDR7QHd8ELQ1e/ZszjnnnO4pXtpHzJo1i0svvZSGhoad2p9//nnuvPNOVq5cyZNPPsmLL77Id7/73R6qUvuaAT1dgLqmsw+C7bZu3cpdd93F1VdfXePKpOprbGxk9erVO16vWbOGxsbGDtcZNWoU27Zt4w9/+APDhg1jwYIF3H777Xzyk5/khRdeoF+/fhxwwAEMHz6csWPHcuihhwJw1lln8eCDD/L+97+/pvumfZOh2QO644PgwgsvBGDOnDlMnjyZ4cOH13SfpO5wyimnsHz5clauXEljYyOzZ8/me9/73k7rzJw5k29/+9tMnTqV22+/nTe/+c1EBL/85S93rDNr1iwaGhq48MILWbBgAQ899BAvvfQSgwYN4t5776WpqanWu6Z9lKHZA7rjg2C72267zUuz6jUGDBjADTfcwBlnnEFrayvnnnsuEydO5Morr6SpqYmZM2dy3nnn8YEPfIDx48czdOjQ3Y6EnTJlCu985zuZPHkyAwYM4OSTT+b888+v0R5pXxfbB5f0RU1NTdnc3Nwjf/dPfvITLrnkkh0fBJ/+9Kd3+iB45ZVX+MAHPsAjjzyy44Ng3LhxO21je2hefvnlALz44oscccQRrFixgoMPPrgndqtufOS6nq6gem6+pKcrUG/mz8prRcTCzOzw8oOh2UOhqe7lB4FUjj8rr7Wr0HT0rCRJJdmnWQX+piaV48+K9nWeaUqSVJKhKUlSSYamJEklGZqSJJVkaEqSVJKhKUlSSYamJEklGZqSJJVkaEqSVJKhKUlSSYamJEklGZqSJJVkaEqSVJKhKUlSSYamJEklGZqSJJVkaEqSVJKhKUlSSYamJEkl1Tw0I+JjEbEyIl6JiIUR8abdrD+jst4rEbEiIi7Y221KkrQnahqaEXE2cD3wBeBk4EFgTkQc0cn6Y4GfVNY7Gbga+FpE/PWeblOSpD1V6zPNy4BbMvPmzPxNZl4EPAV8tJP1LwCezMyLKuvfDHwbuHwvtilJ0h6JzKzNXxSxP/AScE5m/qBN+/8Bjs/MGR28Zy7w68z8eJu2dwHfAw4EYg+2eT5wfuXlBGBZFXavFg4BNvR0EXoNj0v98ZjUp33puByZmYd2tGBADYs4BOgPrG/Xvh54SyfvGQH8vw7WH1DZXnR1m5n5DeAbpauuExHRnJlNPV2HduZxqT8ek/rUW46Lo2clSSqplmeaG4BWYHi79uHAuk7es66T9bdVthd7sE1JkvZIzc40M3MrsBA4vd2i0ylGvHZkfifrN2fmq3u4zX3VPndJuY/wuNQfj0l96hXHpWYDgWDH7SG3Ah8DHqAYHXseMDEzH4+I7wBk5gcr648FlgI3A/8EvBG4kWLgzw/LbLNmOydJ6vVqeXmWzPx+RAwDPgMcThGI72gTbke0W39lRLwD+EeKW0ieBC7eHpgltylJUlXU9ExTkqR9maNnJUkqydCUJKkkQ1NSrxER0fZPqdrs06xjETEKGE9xP+ofgWWZ6f2nUknbwzP9oFOVGJp1KiI+CpwLTAJeBH4HrAEeAu7IzGUR0S8z/9iDZfYpETEoM1/u6Tr0WhHRD/ivwKEU81KvBe7PzKd7tDD1OoZmHarcQvM74MvA1yk+CN4CnAYcSxGel2ZmS0SEv0V3v4gYAiwBfgx8F3hw+79722MQEX9C8WSejT1WbB8TEQcB3wT+nOKKzBoggVeA+4FbM/O3/qzUTkTsB4wFHs/MLT1dTzXZp1mf3gs8lpl/n5nPZuZvM/OGzHwn8LcUv0n/KCIO8UOgZt5PMT3jG4C5wO8i4u8iYkKbwBwN3EbxMAHVzsUUTyx6R2YOB94HXAf8Gngr8A8Rcag/KzX1ceAR4KaI+KuIGBER/duuEBGDI+LtlYDdZxia9WkrcFBEHA8QEQMrj1YjM+dRfCi8QvGBoNo4EfgW8JcUDzv/F+AcoCUiHqo8cu79wNGZuaLnyuyT3gZ8OzP/A6DyS+Z3gQuB/0FxdebWHqyvLzobeJhiTMYdFFOiXhMR0yLi4Mo67wWuysxXe6bEPWNo1qfbKS4zXRIRB2XmlszcWum3ITOfAF4ARvVgjX1GRAwEWoDVmfl0Zv4qMz8FNAFnVJbNAj4PfKnHCu2DImIAxSxgfx0Rh1ba+lf6+1szcy7F1JqjImJST9baV1SOw6vAzZn5JuBIisvnf0lxlebnEXEFcAmwoKfq3FP2adaZNkPl/ytwPTCU4qzmRorLHaOA6RR9nSdk5qoeKLPPqQTnkMxcV7nMlG0HYUXEacDPgSMyc03PVNk3RcSpwD9T/LL5lcxc3275aOA3wITMXNsDJfYpEXE48B6gJTN/1m7ZycDfVJYPAUbva8fE0KxTEfF6irl4/ww4k2KyeigeeRYUgxtm9Uhxfcz2ASQRMQ54se2HcptlVwIfzsxxPVdp31O5+tIP+O/AFyjm0/4h8H3gCYrL6n8JHJeZp/RUnX1NRAyi+MXylbb3zLbp//88RR/0yT1V454yNOtIRBwGfICiH2YD8DLFZdh5FLea7EfRR/DTzHysh8rsU9ock8uApyme5foU8APgXzPzxcqHwkcoRs3+qMeK7eMqv2h+mKKv7CRgE0Xf/38AV2fmPncpcF/W2WjliDgQWAR8KzP3ue4MQ7OORMQtwETg34HnKC7NngAcQ/GB/Rl/8Gurk2NyMvAnFLc2XJOZd/dYgX1YRAwGNrX9YK6ceR4ANADHU1wZ8GemRjo6Jh2scwDFQKHbKs9E3qcYmnWicrayieKSxdw2bUcAUyj6AcYB787MRT1WaB+yi2MyCjiV4uzySIrnu3pMaiwi/olihObDFPcDvube2IgYkpnPe49mbZQ8Jq/PzBdqXVu1OHq2fhwHrKS43QQorv9n5uOZ+S/AX1Fcqn1Xz5TXJ3V2TFZn5g8o+so24TGpuYg4h+KXli8Dd1LcznBWRIyv9KcREQ3AtyLiBAOz+3VyTM6MiKPaHJNBwLe33063L/JMs05U/jP9iGLigg8Cv28/RV5EXAScl5kn1b7CvsdjUr8i4magFfgH4CzgQ8BRwDLgJ8C9FBMeXJ+Z+/dUnX1JXzkmnmnWicqcpp8GBgHfAT4YEaMrvy1v7zyfQXFPmmrAY1KfKvdmrgReyMwVmXltZp4AnEIxbd6HKG7T+hpOalATfemYeKZZZyqXLT4LzKSYqH0+8AzF3LNPAX+Tmb/uuQr7Ho9J/anMBTy8Mqfs/sCr7QYEnU0xpeHkzFzcQ2X2KX3lmBiadapyq8NfAP+NYtj8UuAHmfnbnqyrL/OY1LfKyNnIzNaI+AjFZcADe7quvqw3HhNDcx8QPgKs7nhM6ltEXAb0z8xreroWFXrLMTE0JfU6lSdntPqLTf3oLcfE0JQkqSRHz0qSVJKhKUlSSYamJEklGZqSJJVkaEqSVJKhKUlSSf8fWjnFeNQpgv4AAAAASUVORK5CYII=\n",
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\n",
       "text/plain": [
        "<Figure size 504x360 with 1 Axes>"
       ]
      },
-     "execution_count": 13,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -319,18 +347,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 15,
    "id": "occasional-vancouver",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 504x360 with 1 Axes>"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
diff --git a/setup.py b/setup.py
index f8100f7..a0e8446 100644
--- a/setup.py
+++ b/setup.py
@@ -5,7 +5,7 @@
 
 setuptools.setup(
     name='ewl',
-    version='0.3.1',
+    version='0.4.0',
     author='Piotr Kotara, Tomasz Zawadzki',
     author_email='piotrekkotara@gmail.com, tomekzawadzki98@gmail.com',
     description='A simple Python library to simulate and execute EWL quantum circuits on IBM Q.',
diff --git a/src/ewl/__init__.py b/src/ewl/__init__.py
index 2b8e696..c06bf9e 100644
--- a/src/ewl/__init__.py
+++ b/src/ewl/__init__.py
@@ -129,6 +129,10 @@ def draw_transpiled(self, backend_name: str, *, optimization_level: int = 3):
         transpiled_qc = transpile(self.qc, backend, optimization_level=optimization_level)
         return transpiled_qc.draw('mpl')
 
+    def calculate_probs(self) -> Matrix:
+        phi = self.J_H @ TensorProduct(*self.strategies) @ qubit_to_matrix(self.psi)
+        return phi.multiply_elementwise(phi.conjugate())
+
     def simulate_probs(self, backend_name: str = 'statevector_simulator') -> Dict[str, float]:
         circ = self.make_qc(measure=False)
         simulator = Aer.get_backend(backend_name)


Test patch:
diff --git a/tests/test_ewl.py b/tests/test_ewl.py
index a62ac39..9b863ea 100644
--- a/tests/test_ewl.py
+++ b/tests/test_ewl.py
@@ -134,3 +134,7 @@ def test_ewl_qc(ewl: EWL):
     qc.measure_all()
 
     assert ewl.qc == qc
+
+
+def test_calculate_probs(ewl: EWL):
+    assert ewl.calculate_probs() == Matrix([0, 0, 1/2, 1/2])