diff --git a/.gitignore b/.gitignore
index 64d49ae..407ac10 100644
--- a/.gitignore
+++ b/.gitignore
@@ -213,4 +213,5 @@ marimo/_lsp/
__marimo__/
# Streamlit
-.streamlit/secrets.toml
\ No newline at end of file
+.streamlit/secrets.toml
+.idea/
\ No newline at end of file
diff --git a/tasks/task1.ipynb b/tasks/task1.ipynb
index 826a12d..d261324 100644
--- a/tasks/task1.ipynb
+++ b/tasks/task1.ipynb
@@ -12,62 +12,178 @@
},
{
"cell_type": "code",
- "execution_count": 1,
"id": "6e0c7089",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:04:39.775079Z",
+ "start_time": "2025-09-18T16:04:39.052059Z"
+ }
+ },
"source": [
- "# Add imports here, do not add any other code in this cell\n"
- ]
+ "# Add imports here, do not add any other code in this cell\n",
+ "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister"
+ ],
+ "outputs": [],
+ "execution_count": 2
},
{
"cell_type": "code",
- "execution_count": 2,
"id": "ae870e77",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:04:40.337641Z",
+ "start_time": "2025-09-18T16:04:40.259151Z"
+ }
+ },
"source": [
"# Task 1.1 - Initialize a Quantum Circuit with 2 qubits and apply an X gate to the second qubit.\n",
- "# Then, measure all qubits and draw the circuit using the default text drawer.\n"
- ]
+ "# Then, measure all qubits and draw the circuit using the default text drawer.\n",
+ "qc = QuantumCircuit(2,2)\n",
+ "qc.x(1)\n",
+ "qc.measure(0,0)\n",
+ "qc.measure(1,1)\n",
+ "qc.draw()"
+ ],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ " ┌─┐ \n",
+ "q_0: ─────┤M├───\n",
+ " ┌───┐└╥┘┌─┐\n",
+ "q_1: ┤ X ├─╫─┤M├\n",
+ " └───┘ ║ └╥┘\n",
+ "c: 2/══════╩══╩═\n",
+ " 0 1 "
+ ],
+ "text/html": [
+ "
┌─┐ \n",
+ "q_0: ─────┤M├───\n",
+ " ┌───┐└╥┘┌─┐\n",
+ "q_1: ┤ X ├─╫─┤M├\n",
+ " └───┘ ║ └╥┘\n",
+ "c: 2/══════╩══╩═\n",
+ " 0 1
"
+ ]
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 3
},
{
"cell_type": "code",
- "execution_count": 3,
"id": "9c85b25e",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:09:21.487201Z",
+ "start_time": "2025-09-18T16:09:21.412239Z"
+ }
+ },
"source": [
"# Task 1.2 - Initialize a Quantum Circuit with 2 qubits and 2 classical bits, apply an H gate to both qubits.\n",
"# Use a single H gate call and a single measure call.\n",
"# Then, measure all qubits on the initialized classical bits, and draw the circuit in matplotlib style.\n",
- "\n"
- ]
+ "qc = QuantumCircuit(2,2)\n",
+ "qc.h(0)\n",
+ "qc.h(1)\n",
+ "qc.measure([0,1],[0,1])\n",
+ "# qc.measure_all()\n",
+ "qc.draw('mpl')"
+ ],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ],
+ "image/png": "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"
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 6
},
{
"cell_type": "code",
- "execution_count": 4,
"id": "73d72a2f",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:06:06.071765Z",
+ "start_time": "2025-09-18T16:06:06.061900Z"
+ }
+ },
"source": [
"# Task 1.3 - Initialize a quantum register and a classical register with 2 qubits/bits each.\n",
"# Create a quantum circuit using these registers.\n",
"# Name the quantum register \"Q\" and the classical register \"C\".\n",
"# Create a bell pair\n",
"# Measure all qubits on the classical bits and draw the circuit using the default text drawer.\n",
- "\n"
- ]
+ "Q = QuantumRegister(2)\n",
+ "C = ClassicalRegister(2)\n",
+ "qc = QuantumCircuit(Q, C)\n",
+ "qc.h(0)\n",
+ "qc.cx(0,1)\n",
+ "qc.measure(Q,C)\n",
+ "qc.draw()\n"
+ ],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ " ┌───┐ ┌─┐ \n",
+ "q0_0: ┤ H ├──■──┤M├───\n",
+ " └───┘┌─┴─┐└╥┘┌─┐\n",
+ "q0_1: ─────┤ X ├─╫─┤M├\n",
+ " └───┘ ║ └╥┘\n",
+ "c0: 2/═══════════╩══╩═\n",
+ " 0 1 "
+ ],
+ "text/html": [
+ " ┌───┐ ┌─┐ \n",
+ "q0_0: ┤ H ├──■──┤M├───\n",
+ " └───┘┌─┴─┐└╥┘┌─┐\n",
+ "q0_1: ─────┤ X ├─╫─┤M├\n",
+ " └───┘ ║ └╥┘\n",
+ "c0: 2/═══════════╩══╩═\n",
+ " 0 1
"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 4
},
{
"cell_type": "code",
- "execution_count": 5,
"id": "3e50bfc5",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T15:53:22.215813Z",
+ "start_time": "2025-09-18T15:53:22.207396Z"
+ }
+ },
"source": [
- "# Task 1.4 - Print the depth and size of the circuit created in Task 1.3\n"
- ]
+ "# Task 1.4 - Print the depth and size of the circuit created in Task 1.3\n",
+ "print(\"Depth: %d\\nWidth: %d\" % (qc.depth(), qc.width()))"
+ ],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Depth: 3\n",
+ "Width: 4\n"
+ ]
+ }
+ ],
+ "execution_count": 9
}
],
"metadata": {
diff --git a/tasks/task2.ipynb b/tasks/task2.ipynb
index 713a231..d1b7fba 100644
--- a/tasks/task2.ipynb
+++ b/tasks/task2.ipynb
@@ -13,47 +13,205 @@
},
{
"cell_type": "code",
- "execution_count": null,
"id": "d6bbf41c",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T15:57:59.385239Z",
+ "start_time": "2025-09-18T15:57:58.723012Z"
+ }
+ },
"source": [
- "# Add imports here, do not add any other code in this cell\n"
- ]
+ "# Add imports here, do not add any other code in this cell\n",
+ "from qiskit.quantum_info import Statevector\n",
+ "from qiskit import QuantumCircuit"
+ ],
+ "outputs": [],
+ "execution_count": 1
},
{
"cell_type": "code",
- "execution_count": null,
"id": "9b6196a9",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T15:58:44.268795Z",
+ "start_time": "2025-09-18T15:58:43.955995Z"
+ }
+ },
"source": [
"# Task 2.1 - Create a state vector and a GHZ- circuit. Evolve the state vector using the circuit.\n",
- "# Draw the state vector in qsphere format and observe the result."
- ]
+ "# Draw the state vector in qsphere format and observe the result.\n",
+ "state = Statevector.from_int(0, 2**3)\n",
+ "circ = QuantumCircuit(3)\n",
+ "circ.h(0)\n",
+ "circ.cx(0,1)\n",
+ "circ.cx(0,2)\n",
+ "state = state.evolve(circ)\n",
+ "state.draw('qsphere')"
+ ],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ],
+ "image/png": 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"
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 3
},
{
"cell_type": "code",
- "execution_count": null,
"id": "d219eaa0",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:06:23.403751Z",
+ "start_time": "2025-09-18T16:06:23.393779Z"
+ }
+ },
"source": [
- "# Task 2.2 - From the task 2.1 circuit, draw the circuit in text format."
- ]
+ "# Task 2.2 - From the task 2.1 circuit, draw the circuit in text format.\n",
+ "circ.draw()"
+ ],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ " ┌───┐ \n",
+ "q_0: ┤ H ├──■────■──\n",
+ " └───┘┌─┴─┐ │ \n",
+ "q_1: ─────┤ X ├──┼──\n",
+ " └───┘┌─┴─┐\n",
+ "q_2: ──────────┤ X ├\n",
+ " └───┘"
+ ],
+ "text/html": [
+ " ┌───┐ \n",
+ "q_0: ┤ H ├──■────■──\n",
+ " └───┘┌─┴─┐ │ \n",
+ "q_1: ─────┤ X ├──┼──\n",
+ " └───┘┌─┴─┐\n",
+ "q_2: ──────────┤ X ├\n",
+ " └───┘
"
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 12
},
{
"cell_type": "code",
- "execution_count": null,
"id": "9450a217",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:01:54.328854Z",
+ "start_time": "2025-09-18T16:01:53.770142Z"
+ }
+ },
"source": [
"# Task 2.3 - Create a state vector. Create a GHZ- circuit with a bell pair and an additional circuit to entangle the third qubit.\n",
"# In other words, you will create 1 state, 2 circuits.\n",
"# Verify the output with Task 2.1 and Task 2.2.\n",
- "\n"
- ]
+ "state = Statevector.from_int(0, 2**3)\n",
+ "bell_circ = QuantumCircuit(2)\n",
+ "bell_circ.h(0)\n",
+ "bell_circ.cx(0,1)\n",
+ "circ2 = QuantumCircuit(2)\n",
+ "circ2.cx(0,1)\n",
+ "state = state.evolve(bell_circ)\n",
+ "state = state.evolve(circ2,[0,2])\n",
+ "state.draw('qsphere')"
+ ],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ],
+ "image/png": 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"
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 10
+ },
+ {
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:07:31.279555Z",
+ "start_time": "2025-09-18T16:07:31.274054Z"
+ }
+ },
+ "cell_type": "code",
+ "source": "bell_circ.draw()",
+ "id": "d38e67a4af03ea67",
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ " ┌───┐ \n",
+ "q_0: ┤ H ├──■──\n",
+ " └───┘┌─┴─┐\n",
+ "q_1: ─────┤ X ├\n",
+ " └───┘"
+ ],
+ "text/html": [
+ " ┌───┐ \n",
+ "q_0: ┤ H ├──■──\n",
+ " └───┘┌─┴─┐\n",
+ "q_1: ─────┤ X ├\n",
+ " └───┘
"
+ ]
+ },
+ "execution_count": 16,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 16
+ },
+ {
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:07:31.983726Z",
+ "start_time": "2025-09-18T16:07:31.976148Z"
+ }
+ },
+ "cell_type": "code",
+ "source": "circ2.draw()",
+ "id": "403a3bdf79edb77b",
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ " \n",
+ "q_0: ──■──\n",
+ " ┌─┴─┐\n",
+ "q_1: ┤ X ├\n",
+ " └───┘"
+ ],
+ "text/html": [
+ " \n",
+ "q_0: ──■──\n",
+ " ┌─┴─┐\n",
+ "q_1: ┤ X ├\n",
+ " └───┘
"
+ ]
+ },
+ "execution_count": 17,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 17
}
],
"metadata": {
diff --git a/tasks/task3.ipynb b/tasks/task3.ipynb
index f204229..bc22346 100644
--- a/tasks/task3.ipynb
+++ b/tasks/task3.ipynb
@@ -13,48 +13,138 @@
},
{
"cell_type": "code",
- "execution_count": 1,
"id": "774f76a8",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:27:30.945881Z",
+ "start_time": "2025-09-18T16:27:30.935547Z"
+ }
+ },
"source": [
- "# Add imports here, no code other than imports in this cell\n"
- ]
+ "# Add imports here, no code other than imports in this cell\n",
+ "from qiskit_aer import AerSimulator\n",
+ "from qiskit import QuantumCircuit, transpile\n",
+ "from qiskit.visualization import plot_histogram\n",
+ "from qiskit.quantum_info import Statevector"
+ ],
+ "outputs": [],
+ "execution_count": 12
},
{
"cell_type": "code",
- "execution_count": 2,
"id": "2f6b67f1",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:24:34.570523Z",
+ "start_time": "2025-09-18T16:24:33.100873Z"
+ }
+ },
"source": [
"# Task 3.1 - Create a Bell pair circuit. Add measurements to all qubits.\n",
"# Take shots=10,000 and use all methods ('statevector', 'stabilizer', 'extended_stabilizer', 'density_matrix', 'matrix_product_state') to run the circuit and get the counts.\n",
"# Plot the counts in one histogram.\n",
"# Note: Some methods may take longer time to run.\n",
- "\n"
- ]
+ "bell_circuit = QuantumCircuit(2, 2)\n",
+ "bell_circuit.h(0)\n",
+ "bell_circuit.cx(0,1)\n",
+ "bell_circuit.measure(range(2), range(2))\n",
+ "total_counts = {\"00\":0,\"11\":0}\n",
+ "for method in ['statevector', 'stabilizer', 'extended_stabilizer', 'density_matrix', 'matrix_product_state']:\n",
+ " backend = AerSimulator(method=method)\n",
+ " bell_circuit = transpile(bell_circuit, backend)\n",
+ " job_sim = backend.run(bell_circuit, shots=10000)\n",
+ " result = job_sim.result()\n",
+ " counts = result.get_counts(bell_circuit)\n",
+ " total_counts[\"00\"] += counts[\"00\"]\n",
+ " total_counts[\"11\"] += counts[\"11\"]\n",
+ "plot_histogram(total_counts, title = \"Bell-State Counts\")"
+ ],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ],
+ "image/png": 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"
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 10
},
{
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:32:57.029530Z",
+ "start_time": "2025-09-18T16:32:56.690300Z"
+ }
+ },
"cell_type": "code",
- "execution_count": 3,
- "id": "ad7a1895",
- "metadata": {},
- "outputs": [],
"source": [
"# Task 3.2 - Create a Cat state 1/sqrt(2)(|001> - |110>). Visualize the state using a qsphere.\n",
- "\n"
- ]
+ "cat_circ = QuantumCircuit(3, 3)\n",
+ "cat_circ.h(2)\n",
+ "cat_circ.s(2)\n",
+ "cat_circ.s(2)\n",
+ "cat_circ.cx(2,0)\n",
+ "cat_circ.cx(2,1)\n",
+ "cat_circ.x(0)\n",
+ "state = Statevector.from_int(0, 2**3)\n",
+ "state = state.evolve(cat_circ)\n",
+ "state.draw('qsphere')\n",
+ "# print(state)"
+ ],
+ "id": "ad7a1895",
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ],
+ "image/png": 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"
+ },
+ "execution_count": 24,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 24
},
{
"cell_type": "code",
- "execution_count": 4,
"id": "ce73da66",
- "metadata": {},
- "outputs": [],
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2025-09-18T16:34:12.171557Z",
+ "start_time": "2025-09-18T16:34:11.941995Z"
+ }
+ },
"source": [
- "# Task 3.3 - Plot the histogram of the results of Task 3.2 after adding measurements to all qubits and running the circuit with shots=10,000 using density_matrix method."
- ]
+ "# Task 3.3 - Plot the histogram of the results of Task 3.2 after adding measurements to all qubits and running the circuit with shots=10,000 using density_matrix method.\n",
+ "cat_circ.measure(range(3),range(3))\n",
+ "backend = AerSimulator(method='density_matrix')\n",
+ "cat_circ = transpile(cat_circ, backend)\n",
+ "job_sim = backend.run(cat_circ, shots=10000)\n",
+ "result = job_sim.result()\n",
+ "counts = result.get_counts(cat_circ)\n",
+ "plot_histogram(counts, title = \"Cat State Counts\")"
+ ],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ],
+ "image/png": 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"
+ },
+ "execution_count": 25,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "execution_count": 25
}
],
"metadata": {