docs/tutorials/grovers_algorithm/grover_with_sampler.ipynb

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    "## Background\n",
    "\n",
    "Amplitude amplification is a general purpose quantum algorithm, or subroutine, that can be used to obtain a quadratic speedup over a handful of classical algorithms. [Grover’s algorithm](https://arxiv.org/abs/quant-ph/9605043) was the first to demonstrate this speedup on unstructured search problems. Formulating a Grover's search problem requires an oracle function that marks one or more computational basis states as the states we are interested in finding, and an amplification circuit that increases the amplitude of marked states, consequently suppressing the remaining states. \n",
    "\n",
    "Here, we demonstrate how to construct Grover oracles and use the `GroverOperator` from the Qiskit circuit library to easily set up a Grover's search instance. The runtime `Sampler` primitive allows seamless execution of Grover circuits."
   ]
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   "source": [
    "## Setup\n",
    "\n",
    "Here we import the small number of tools we need for this tutorial."
   ]
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   "source": [
    "# Built-in modules\n",
    "import math\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "# Imports from Qiskit\n",
    "from qiskit import QuantumCircuit\n",
    "from qiskit.circuit.library import GroverOperator, MCMT, ZGate\n",
    "from qiskit.visualization import plot_distribution\n",
    "\n",
    "# Imports from Qiskit Runtime\n",
    "from qiskit_ibm_runtime import QiskitRuntimeService\n",
    "from qiskit_ibm_runtime import SamplerV2 as Sampler"
   ]
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   "execution_count": 2,
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     "data": {
      "text/plain": [
       "'ibm_algiers'"
      ]
     },
     "execution_count": 2,
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     "output_type": "execute_result"
    }
   ],
   "source": [
    "# To run on hardware, select the backend with the fewest number of jobs in the queue\n",
    "service = QiskitRuntimeService(channel=\"ibm_quantum\")\n",
    "backend = service.least_busy(operational=True, simulator=False)\n",
    "backend.name"
   ]
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    "## Step 1: Map classical inputs to a quantum problem\n",
    "\n",
    "Grover's algorithm requires an [oracle](https://learning.quantum-computing.ibm.com/course/fundamentals-of-quantum-algorithms/grovers-algorithm) that specifies one or more marked computational basis states, where \"marked\" means a state with a phase of -1.  A controlled-Z gate, or its multi-controlled generalization over $N$ qubits, marks the $2^{N}-1$ state (`'1'`*$N$ bit-string).  Marking basis states with one or more `'0'` in the binary representation requires applying X-gates on the corresponding qubits before and after the controlled-Z gate; equivalent to having an open-control on that qubit.  In the following code, we define an oracle that does just that, marking one or more input basis states defined through their bit-string representation.  The `MCMT` gate is used to implement the multi-controlled Z-gate."
   ]
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    "def grover_oracle(marked_states):\n",
    "    \"\"\"Build a Grover oracle for multiple marked states\n",
    "\n",
    "    Here we assume all input marked states have the same number of bits\n",
    "\n",
    "    Parameters:\n",
    "        marked_states (str or list): Marked states of oracle\n",
    "\n",
    "    Returns:\n",
    "        QuantumCircuit: Quantum circuit representing Grover oracle\n",
    "    \"\"\"\n",
    "    if not isinstance(marked_states, list):\n",
    "        marked_states = [marked_states]\n",
    "    # Compute the number of qubits in circuit\n",
    "    num_qubits = len(marked_states[0])\n",
    "\n",
    "    qc = QuantumCircuit(num_qubits)\n",
    "    # Mark each target state in the input list\n",
    "    for target in marked_states:\n",
    "        # Flip target bit-string to match Qiskit bit-ordering\n",
    "        rev_target = target[::-1]\n",
    "        # Find the indices of all the '0' elements in bit-string\n",
    "        zero_inds = [ind for ind in range(num_qubits) if rev_target.startswith(\"0\", ind)]\n",
    "        # Add a multi-controlled Z-gate with pre- and post-applied X-gates (open-controls)\n",
    "        # where the target bit-string has a '0' entry\n",
    "        qc.x(zero_inds)\n",
    "        qc.compose(MCMT(ZGate(), num_qubits - 1, 1), inplace=True)\n",
    "        qc.x(zero_inds)\n",
    "    return qc"
   ]
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   "source": [
    "### Specific Grover's instance\n",
    "\n",
    "Now that we have the oracle function, we can define a specific instance of Grover search.  In this example we will mark two computational states out of the eight available in a three-qubit computational space:"
   ]
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",
      "text/plain": [
       "<Figure size 538.33x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {
      "image/png": {
       "height": 238,
       "width": 434
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "marked_states = [\"011\", \"100\"]\n",
    "\n",
    "oracle = grover_oracle(marked_states)\n",
    "oracle.draw(output=\"mpl\", style=\"iqp\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "25487b93",
   "metadata": {},
   "source": [
    "### GroverOperator\n",
    "\n",
    "The built-in Qiskit `GroverOperator` takes an oracle circuit and returns a circuit that is composed of the oracle circuit itself and a circuit that amplifies the states marked by the oracle.  Here, we `decompose` the circuit to see the gates within the operator:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "283d5265",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1094.88x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {
      "image/png": {
       "height": 249,
       "width": 863
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grover_op = GroverOperator(oracle)\n",
    "grover_op.decompose().draw(output=\"mpl\", style=\"iqp\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "83c34dc9",
   "metadata": {},
   "source": [
    "Repeated applications of this `grover_op` circuit amplify the marked states, making them the most probable bit-strings in the output distribution from the circuit.  There is an optimal number of such applications that is determined by the ratio of marked states to total number of possible computational states:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f4c3d4b5",
   "metadata": {},
   "outputs": [],
   "source": [
    "optimal_num_iterations = math.floor(\n",
    "    math.pi / (4 * math.asin(math.sqrt(len(marked_states) / 2**grover_op.num_qubits)))\n",
    ")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "e06c8238",
   "metadata": {},
   "source": [
    "### Full Grover circuit\n",
    "\n",
    "A complete Grover experiment starts with a Hadamard gate on each qubit; creating an even superposition of all computational basis states, followed the Grover operator (`grover_op`) repeated the optimal number of times.  Here we make use of the `QuantumCircuit.power(INT)` method to repeatedly apply the Grover operator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4933ae44",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 663.998x367.889 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {
      "image/png": {
       "height": 303,
       "width": 531
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(grover_op.num_qubits)\n",
    "# Create even superposition of all basis states\n",
    "qc.h(range(grover_op.num_qubits))\n",
    "# Apply Grover operator the optimal number of times\n",
    "qc.compose(grover_op.power(optimal_num_iterations), inplace=True)\n",
    "# Measure all qubits\n",
    "qc.measure_all()\n",
    "qc.draw(output=\"mpl\", style=\"iqp\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "97eb3019",
   "metadata": {},
   "source": [
    "## Step 2: Optimize problem for quantum execution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c9a3020e",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2263.23x1204 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {
      "image/png": {
       "height": 947,
       "width": 1762
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n",
    "\n",
    "target = backend.target\n",
    "pm = generate_preset_pass_manager(target=target, optimization_level=3)\n",
    "\n",
    "circuit_isa = pm.run(qc)\n",
    "circuit_isa.draw(output=\"mpl\", idle_wires=False, style=\"iqp\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "c5edec73",
   "metadata": {},
   "source": [
    "## Step 3: Execute using Qiskit Primitives.\n",
    "\n",
    "Amplitude amplification is a sampling problem that is suitable for execution with the [`Sampler`](https://docs.quantum-computing.ibm.com/api/qiskit-ibm-runtime/qiskit_ibm_runtime.SamplerV2) runtime primitive.\n",
    "\n",
    "Note that the `run()` method of [Qiskit Runtime `SamplerV2`](https://docs.quantum.ibm.com/api/qiskit-ibm-runtime/qiskit_ibm_runtime.SamplerV2)  takes an iterable of `primitive unified blocs (PUBs)`. For sampler, each PUB is an iterable in the format `(circuit, parameter_values)`. However, at a minimum, it takes a list of quantum circuit(s)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0eb154d4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# To run on local simulator:\n",
    "#   1. Use the SatetvectorSampler from qiskit.primitives instead\n",
    "sampler = Sampler(backend=backend)\n",
    "sampler.options.default_shots = 10_000\n",
    "result = sampler.run([circuit_isa]).result()\n",
    "dist = result[0].data.meas.get_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87484abf",
   "metadata": {},
   "source": [
    "## Step 4: Post-process, return result in classical format."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a5ef9913",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {
      "image/png": {
       "height": 456,
       "width": 640
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_distribution(dist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0e4223d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.21.1'"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import qiskit_ibm_runtime\n",
    "\n",
    "qiskit_ibm_runtime.version.get_version_info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "5e6db65c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1.0.1'"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import qiskit\n",
    "\n",
    "qiskit.version.get_version_info()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}