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b/Code/Quantum Parallel Architectures Progression/Visualize Quantum Circuits/8Q1L 4RYe kkawchak.ipynb |
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{ |
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"cells": [ |
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{ |
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"cell_type": "code", |
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"execution_count": 10, |
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"metadata": { |
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"id": "D7avgus1L7Ea", |
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"tags": [] |
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}, |
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"outputs": [], |
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"source": [ |
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"# !pip install pennylane --quiet # run once" |
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] |
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}, |
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{ |
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"cell_type": "code", |
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"execution_count": 11, |
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"metadata": { |
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"colab": { |
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"base_uri": "https://localhost:8080/", |
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"height": 954 |
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}, |
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"id": "lcrQHMBnMgTz", |
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"outputId": "01e05bfe-615b-4866-87a2-9597527e4e30" |
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}, |
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"outputs": [ |
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{ |
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"output_type": "stream", |
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"name": "stdout", |
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"text": [ |
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"(<Figure size 700x900 with 1 Axes>, <Axes: >)\n" |
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] |
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}, |
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{ |
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"output_type": "display_data", |
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"data": { |
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"text/plain": [ |
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"<Figure size 700x900 with 1 Axes>" |
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], |
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40 |
"image/png": 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\n" |
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41 |
}, |
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42 |
"metadata": {} |
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43 |
} |
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44 |
], |
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45 |
"source": [ |
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46 |
"import pennylane as qml\n", |
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47 |
"\n", |
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48 |
"dev = qml.device(\"default.qubit\", wires=8)\n", |
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49 |
"\n", |
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50 |
"@qml.qnode(dev)\n", |
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51 |
"def circuit(params):\n", |
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52 |
" qml.RY(params[0], wires=0)\n", |
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53 |
" qml.RY(params[0], wires=1)\n", |
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54 |
" qml.RY(params[0], wires=2)\n", |
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55 |
" qml.RY(params[0], wires=3)\n", |
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56 |
" qml.RY(params[0], wires=4)\n", |
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|
57 |
" qml.RY(params[0], wires=5)\n", |
|
|
58 |
" qml.RY(params[0], wires=6)\n", |
|
|
59 |
" qml.RY(params[0], wires=7)\n", |
|
|
60 |
" qml.RY(params[0], wires=0)\n", |
|
|
61 |
" qml.RY(params[0], wires=1)\n", |
|
|
62 |
" qml.RY(params[0], wires=2)\n", |
|
|
63 |
" qml.RY(params[0], wires=3)\n", |
|
|
64 |
" qml.RY(params[0], wires=4)\n", |
|
|
65 |
" qml.RY(params[0], wires=5)\n", |
|
|
66 |
" qml.RY(params[0], wires=6)\n", |
|
|
67 |
" qml.RY(params[0], wires=7)\n", |
|
|
68 |
" qml.RY(params[0], wires=0)\n", |
|
|
69 |
" qml.RY(params[0], wires=1)\n", |
|
|
70 |
" qml.RY(params[0], wires=2)\n", |
|
|
71 |
" qml.RY(params[0], wires=3)\n", |
|
|
72 |
" qml.RY(params[0], wires=4)\n", |
|
|
73 |
" qml.RY(params[0], wires=5)\n", |
|
|
74 |
" qml.RY(params[0], wires=6)\n", |
|
|
75 |
" qml.RY(params[0], wires=7)\n", |
|
|
76 |
" qml.RY(params[0], wires=0)\n", |
|
|
77 |
" qml.RY(params[0], wires=1)\n", |
|
|
78 |
" qml.RY(params[0], wires=2)\n", |
|
|
79 |
" qml.RY(params[0], wires=3)\n", |
|
|
80 |
" qml.RY(params[0], wires=4)\n", |
|
|
81 |
" qml.RY(params[0], wires=5)\n", |
|
|
82 |
" qml.RY(params[0], wires=6)\n", |
|
|
83 |
" qml.RY(params[0], wires=7)\n", |
|
|
84 |
" return qml.expval(qml.PauliZ(0)), qml.expval(qml.PauliZ(1)), qml.expval(qml.PauliZ(2)), qml.expval(qml.PauliZ(3)), qml.expval(qml.PauliZ(4)), qml.expval(qml.PauliZ(5)), qml.expval(qml.PauliZ(6)), qml.expval(qml.PauliZ(7))\n", |
|
|
85 |
"params =[0]\n", |
|
|
86 |
"\n", |
|
|
87 |
"print(qml.draw_mpl(circuit, style='sketch')(params))" |
|
|
88 |
] |
|
|
89 |
}, |
|
|
90 |
{ |
|
|
91 |
"cell_type": "code", |
|
|
92 |
"execution_count": 12, |
|
|
93 |
"metadata": { |
|
|
94 |
"colab": { |
|
|
95 |
"base_uri": "https://localhost:8080/", |
|
|
96 |
"height": 0 |
|
|
97 |
}, |
|
|
98 |
"id": "ovTzqCRW3ot6", |
|
|
99 |
"outputId": "c870b461-d72b-451f-da95-911c99808362", |
|
|
100 |
"tags": [] |
|
|
101 |
}, |
|
|
102 |
"outputs": [ |
|
|
103 |
{ |
|
|
104 |
"output_type": "execute_result", |
|
|
105 |
"data": { |
|
|
106 |
"text/plain": [ |
|
|
107 |
"{'resources': Resources(num_wires=8, num_gates=32, gate_types=defaultdict(<class 'int'>, {'RY': 32}), gate_sizes=defaultdict(<class 'int'>, {1: 32}), depth=4, shots=Shots(total_shots=None, shot_vector=())),\n", |
|
|
108 |
" 'num_observables': 8,\n", |
|
|
109 |
" 'num_diagonalizing_gates': 0,\n", |
|
|
110 |
" 'num_trainable_params': 0,\n", |
|
|
111 |
" 'num_device_wires': 8,\n", |
|
|
112 |
" 'device_name': 'default.qubit',\n", |
|
|
113 |
" 'expansion_strategy': 'gradient',\n", |
|
|
114 |
" 'gradient_options': {},\n", |
|
|
115 |
" 'interface': 'auto',\n", |
|
|
116 |
" 'diff_method': 'best',\n", |
|
|
117 |
" 'gradient_fn': 'backprop'}" |
|
|
118 |
] |
|
|
119 |
}, |
|
|
120 |
"metadata": {}, |
|
|
121 |
"execution_count": 12 |
|
|
122 |
} |
|
|
123 |
], |
|
|
124 |
"source": [ |
|
|
125 |
"qml.specs(circuit)(params)" |
|
|
126 |
] |
|
|
127 |
} |
|
|
128 |
], |
|
|
129 |
"metadata": { |
|
|
130 |
"colab": { |
|
|
131 |
"provenance": [] |
|
|
132 |
}, |
|
|
133 |
"kernelspec": { |
|
|
134 |
"display_name": "Python 3 (ipykernel)", |
|
|
135 |
"language": "python", |
|
|
136 |
"name": "python3" |
|
|
137 |
}, |
|
|
138 |
"language_info": { |
|
|
139 |
"codemirror_mode": { |
|
|
140 |
"name": "ipython", |
|
|
141 |
"version": 3 |
|
|
142 |
}, |
|
|
143 |
"file_extension": ".py", |
|
|
144 |
"mimetype": "text/x-python", |
|
|
145 |
"name": "python", |
|
|
146 |
"nbconvert_exporter": "python", |
|
|
147 |
"pygments_lexer": "ipython3", |
|
|
148 |
"version": "3.10.8" |
|
|
149 |
} |
|
|
150 |
}, |
|
|
151 |
"nbformat": 4, |
|
|
152 |
"nbformat_minor": 0 |
|
|
153 |
} |