qiskit-documentation/docs/transpile/dynamical-decoupling-pass-m...

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"# Create a pass manager for dynamical decoupling\n",
"\n",
"This page demonstrates how to use the [`PadDynamicalDecoupling`](/api/qiskit/qiskit.transpiler.passes.PadDynamicalDecoupling) pass to add an error suppression technique called _dynamical decoupling_ to the circuit.\n",
"\n",
"Dynamical decoupling works by adding pulse sequences (known as _dynamical decoupling sequences_) to idle qubits to flip them around the Bloch sphere, which cancels the effect of noise channels, thereby suppressing decoherence. These pulse sequences are similar to refocusing pulses used in nuclear magnetic resonance. For a full description, see [A Quantum Engineer's Guide to Superconducting Qubits](https://arxiv.org/abs/1904.06560).\n",
"\n",
"Because the `PadDynamicalDecoupling` pass only operates on scheduled circuits and involves gates that are not necessarily basis gates of our target, you will need the [`ALAPScheduleAnalysis`](/api/qiskit/qiskit.transpiler.passes.ALAPScheduleAnalysis) and [`BasisTranslator`](/api/qiskit/qiskit.transpiler.passes.BasisTranslator) passes as well.\n",
"\n",
"This example uses `ibm_brisbane`, which was initialized previously. Get the `target` information from the `backend` and save the operation names as `basis_gates` because the `target` will need to be modified to add timing information for the gates used in dynamical decoupling."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "368cab01-8eb0-4feb-a5d1-269d225af7af",
"metadata": {},
"outputs": [],
"source": [
"from qiskit_ibm_runtime import QiskitRuntimeService\n",
"\n",
"service = QiskitRuntimeService()\n",
"backend = service.backend(\"ibm_brisbane\")\n",
"\n",
"target = backend.target\n",
"basis_gates = list(target.operation_names)"
]
},
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"Create an `EfficientSU2` circuit as an example. First, transpile the circuit to the backend because dynamical decoupling pulses need to be added after the circuit has been transpiled and scheduled. Dynamical decoupling often works best when there is a lot of idle time in the quantum circuits - that is, there are qubits that are not being used while others are active. This is the case in this circuit because the two-qubit `ecr` gates are applied sequentially in this ansatz."
]
},
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"id": "8228f889-806a-4873-b1da-27c9795d5f5c",
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"text/plain": [
"<Figure size 4055.33x1036.78 with 1 Axes>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n",
"from qiskit.circuit.library import EfficientSU2\n",
"\n",
"qc = EfficientSU2(12, entanglement=\"circular\", reps=1)\n",
"pm = generate_preset_pass_manager(1, target=target, seed_transpiler=12345)\n",
"qc_t = pm.run(qc)\n",
"qc_t.draw(\"mpl\", fold=-1, idle_wires=False)"
]
},
{
"cell_type": "markdown",
"id": "0a433db8-51f4-4254-9217-bc8b7bf6030e",
"metadata": {},
"source": [
"A dynamical decoupling sequence is a series of gates that compose to the identity and are spaced regularly in time. For example, start by creating a simple sequence called XY4 consisting of four gates."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "c1697d63-aa1e-4fcc-999e-12588ecba8a4",
"metadata": {},
"outputs": [],
"source": [
"from qiskit.circuit.library import XGate, YGate\n",
"\n",
"X = XGate()\n",
"Y = YGate()\n",
"\n",
"dd_sequence = [X, Y, X, Y]"
]
},
{
"cell_type": "markdown",
"id": "9d735702-4b06-4979-a0c1-2004a3c95d28",
"metadata": {},
"source": [
"Because of the regular timing of dynamical decoupling sequences, information about the `YGate` must be added to the `target` because it is *not* a basis gate, whereas the `XGate` is. We know *a priori* that the `YGate` has the same duration and error as the `XGate`, however, so we can just retrieve those properties from the `target` and add them back for the `YGate`s. This is also why the `basis_gates` were saved separately, since we are adding the `YGate` instruction to the `target` although it is not an actual basis gate of `ibm_brisbane`."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "6ecd2f07-e626-43ac-bbb8-bca0cdc571a6",
"metadata": {},
"outputs": [],
"source": [
"from qiskit.transpiler import InstructionProperties\n",
"\n",
"y_gate_properties = {}\n",
"for qubit in range(target.num_qubits):\n",
" y_gate_properties.update(\n",
" {\n",
" (qubit,): InstructionProperties(\n",
" duration=target[\"x\"][(qubit,)].duration,\n",
" error=target[\"x\"][(qubit,)].error,\n",
" )\n",
" }\n",
" )\n",
"\n",
"target.add_instruction(YGate(), y_gate_properties)"
]
},
{
"cell_type": "markdown",
"id": "d3fef37d-1c01-4303-be85-1ff90be760ae",
"metadata": {},
"source": [
"Ansatz circuits such as `EfficientSU2` are parameterized, so they must have value bound to them before being sent to the backend. Here, assign random parameters."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "23da3765-7893-4886-899c-d74491f514fc",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"rng = np.random.default_rng(1234)\n",
"qc_t.assign_parameters(rng.uniform(-np.pi, np.pi, qc_t.num_parameters), inplace=True)"
]
},
{
"cell_type": "markdown",
"id": "399cdf3b-43e1-40a2-a2e1-9b4a944ed324",
"metadata": {},
"source": [
"Next, execute the custom passes. Instantiate the `PassManager` with `ALAPScheduleAnalysis` and `PadDynamicalDecoupling`. Run `ALAPScheduleAnalysis` first to add timing information about the quantum circuit before the regularly-spaced dynamical decoupling sequences can be added. These passes are run on the circuit with `.run()`."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "a43029d6-01eb-4873-a9ac-9bcb0a823ec8",
"metadata": {},
"outputs": [],
"source": [
"from qiskit.transpiler import PassManager\n",
"from qiskit.transpiler.passes.scheduling import (\n",
" ALAPScheduleAnalysis,\n",
" PadDynamicalDecoupling,\n",
")\n",
"\n",
"dd_pm = PassManager(\n",
" [\n",
" ALAPScheduleAnalysis(target=target),\n",
" PadDynamicalDecoupling(target=target, dd_sequence=dd_sequence),\n",
" ]\n",
")\n",
"qc_dd = dd_pm.run(qc_t)"
]
},
{
"cell_type": "markdown",
"id": "5d418164-acbd-4694-8864-8c3100886157",
"metadata": {},
"source": [
"Use the visualization tool [`timeline_drawer`](/api/qiskit/qiskit.visualization.timeline_drawer) to see the circuit's timing and confirm that a regularly-spaced sequence of `XGate`s and `YGate`s appear in the circuit."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "cb73e2c4-ab05-4f15-91ae-2fab64028d6e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1400x1040 with 1 Axes>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from qiskit.visualization import timeline_drawer\n",
"\n",
"timeline_drawer(qc_dd, show_idle=False)"
]
},
{
"cell_type": "markdown",
"id": "2d231392-41f0-414f-b5ed-05acc4980e9c",
"metadata": {},
"source": [
"Lastly, because the `YGate` is not an actual basis gate of our backend, manually apply the `BasisTranslator` pass (this is a default pass, but it is executed before scheduling, so it needs to be applied again). The session equivalence library is a library of circuit equivalences that allows the transpiler to decompose circuits into basis gates, as also specified as an argument."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "aaa27ee4-1965-41bf-abd2-1d9176af6dc4",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 4737.32x1036.78 with 1 Axes>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from qiskit.circuit.equivalence_library import SessionEquivalenceLibrary as sel\n",
"from qiskit.transpiler.passes import BasisTranslator\n",
"\n",
"qc_dd = BasisTranslator(sel, basis_gates)(qc_dd)\n",
"qc_dd.draw(\"mpl\", fold=-1, idle_wires=False)"
]
},
{
"cell_type": "markdown",
"id": "69c77b6c-1f38-4adc-9249-0039ecd2c3c1",
"metadata": {},
"source": [
"Now, `YGate`s are absent from our circuit, and there is explicit timing information in the form of `Delay` gates. This transpiled circuit with dynamical decoupling is not ready to be sent to the backend. When doing so, remember to set the `skip_transpilation=True` option (See [Advanced runtime compilation options](/run/configure-runtime-compilation#advanced-runtime-compilation-options))."
]
},
{
"cell_type": "markdown",
"id": "1ebd817d-bc48-4137-82f0-bd31d7eb267c",
"metadata": {},
"source": [
"## Next steps\n",
"\n",
"<Admonition type=\"tip\" title=\"Recommendations\">\n",
" - To learn how to use the `transpile` function, start with the [Transpilation default settings and configuration options](defaults-and-configuration-options) topic.\n",
" - Try the [Submit transpiled circuits](https://learning.quantum.ibm.com/tutorial/submit-transpiled-circuits) tutorial.\n",
" - See the [Transpile API documentation.](https://docs.quantum-computing.ibm.com/api/qiskit/transpiler)\n",
"</Admonition>"
]
}
],
"metadata": {
"description": "How to create a pass manager for dynamical decoupling in Qiskit.",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3"
},
"title": "Create a pass manager for dynamical decoupling"
},
"nbformat": 4,
"nbformat_minor": 4
}