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   "source": [
    "# How to simulate multi-qubit circuits in quantum computing\n",
    "**Evaluate the performance of multi-qubit circuits with and without noise**\n",
    "\n",
    "Boulder Opal enables you to simulate the evolution of isolated quantum systems  and systems that are interacting with their environment (see the [Simulate open systems dynamics](https://docs.q-ctrl.com/boulder-opal/toolkit/design/simulate-quantum-systems/how-to-simulate-open-system-dynamics) user guide). \n",
    "\n",
    "In this notebook, we will show how the same simulation features can be used to simulate a multi-qubit quantum circuit as encountered specifically in quantum computing.  Our focus is on adding functionality which faithfully represents the dynamics of laboratory quantum computers subject to bounded-strength controls and real noise sources."
   ]
  },
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   "cell_type": "markdown",
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   "source": [
    "## Summary workflow"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f782e14c",
   "metadata": {},
   "source": [
    "In general, the operations constituting a quantum circuit must be translated from logical operators to the drive controls typically employed in the dynamic simulations supported in Boulder Opal. \n",
    "\n",
    "### 1. Link logic gates to control pulses\n",
    "We start with the definition of a universal gateset. While there are many approaches to compilation, we assume a need for five unique pulses in order to realize a universal gateset: three pulses that rotate a qubit by $\\pi/2$ radians along the $X$, the $Y$ and the $Z$-axis, a pulse that rotates a qubit by $\\pi$ radians along the $Z$-axis, and a pulse that rotates a two-qubit channel by $-\\pi/2$ radians. \n",
    "\n",
    "We will use the notation $Y_\\theta = Y(\\theta) = \\exp (-i\\frac{\\theta}{2}\\sigma^y)$ to denote a rotation of angle $\\theta$ along the Y-axis (and the same notation for rotations along the X and the Z axis).\n",
    "\n",
    "Ignoring global phases, the Hadamard gate can be constructed with two rotations\n",
    "$$\n",
    "H = Y_{\\pi/2} Z_{\\pi}  ,\n",
    "$$\n",
    "and the CNOT gate can be obtained by combining two single qubit rotations and one two-qubit rotation\n",
    "$$\n",
    "\\rm{CNOT}^{ij} = Z^i_{\\pi/2} X^j_{\\pi/2} \\rm{XZ}^{ji}_{-\\pi/2}  .\n",
    "$$\n",
    "\n",
    "We also assume access to [_virtual_-$Z$ rotations](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.022330) which do not change populations in the computational basis, although you may choose to add an alternative approach to realizing such a rotation. \n",
    "\n",
    "In order to realize these gates we require only two complex drives:\n",
    "\n",
    "- $\\Omega(t)_i$ is a drive for a single-qubit $i$\n",
    "- $\\Gamma(t)_{ij}$ is a drive which induces a coupling between qubits $(i,j)$ as used in an entangling gate.\n",
    "\n",
    "We will also assume that the controls $\\Omega_i(t)$ can be selected between the values $[-\\Omega_{\\rm max}, \\Omega_{\\rm max}]$ and controls $\\Gamma_{ij}(t)$ can be selected between $[-\\Gamma_{\\rm max}, \\Gamma_{\\rm max}]$.\n",
    "\n",
    "### 2. Create a pulse schedule from a circuit\n",
    "You can now combine the pulses and virtual $Z$-rotations together to generate a _schedule_, a series of pulses applied to the controls, that represent the circuit at the level of Hamiltonian manipulation. To implement any circuit, we will drive the system by appropriately setting the values of $\\Omega_i$ and $\\Gamma_{ij}$, and add periods of zero-value when a gate is not active. \n",
    "\n",
    "We will refer to each of these variables as _channels_, such that $\\Omega_0$ is called Channel $0$, $\\Gamma_{01}$ is called Channel $01$, etc. Under this convention, for example, Channel $10$ allows us to apply the CNOT gate between the first and the second qubit using the CNOT formula listed above.\n",
    "\n",
    "You can specify the schedule manually (as we do in the example below), or automatically using a software scheduler such as the [qiskit.compiler.schedule](https://qiskit.org/documentation/apidoc/compiler.html#qiskit.compiler.schedule) provided by Qiskit.\n",
    "\n",
    "For more general information  about quantum compilation and scheduling, see for example [Shi et al.](https://arxiv.org/abs/1902.01474).\n",
    "\n",
    "### 3. Simulate dynamic evolution under a pulse schedule\n",
    "\n",
    "To simulate the dynamics of this multi-qubit quantum circuit with Boulder Opal, we start by setting up a graph object as described in the [How to represent quantum systems using graphs](https://docs.q-ctrl.com/boulder-opal/toolkit/design/calculate-with-graphs/how-to-represent-quantum-systems-using-graphs) user guide. After setting up the piecewise-constant (PWC) Hamiltonian of the system, we create a simulation node using the  `graph.time_evolution_operators_pwc` operation and request samples at `sample_times` points. \n",
    "\n",
    "We can also use `graph.density_matrix_evolution_pwc` to simulate an open system evolution as outlined in the [How to simulate open system dynamics](https://docs.q-ctrl.com/boulder-opal/toolkit/design/simulate-quantum-systems/how-to-simulate-open-system-dynamics) user guide.\n",
    "\n",
    "### 4. Include time-varying noise \n",
    "We can add a random noise process sampled from a power spectral density to a simulation as described in the [How to simulate quantum dynamics subject to noise with graphs](https://docs.q-ctrl.com/boulder-opal/toolkit/design/simulate-quantum-systems/how-to-simulate-quantum-dynamics-subject-to-noise) user guide.  Since the noise process is random, we need to run many simulations of the circuit with the noise to get a correct estimate of the system evolution. In each simulation run, we sample the power spectrum of the noise three times to obtain different time-domain realizations of the noise variable $\\eta(t)$ and then use these trajectories to construct a noisy Hamiltonian. This noisy Hamiltonian is added to the system Hamiltonian and we simulate the total Hamiltonian to obtain a noisy final state. \n",
    "\n",
    "### 5. Execute graph-based simulation \n",
    "Execute the graph-based simulation using standard procedures.  After running many simulations, we average out the final states to obtain the density matrix representing the noisy evolution. Instead of running each different realization of the noisy system one by one, we can use the batching feature to run multiple simulations with just one call to the `boulderopal.execute_graph` function. \n",
    "\n",
    "After the simulation is successfully completed, we obtain the trajectories of the system in the variable `final_states`. The first dimension of the `final_states` is of length `batch_count`, the second dimension accounts for the time points sampled from the evolution, and the last two dimensions contain the state vector at each of the time point. \n",
    "\n",
    "See the `graph.pwc_signal` operation to learn more about batches in the Boulder Opal simulation engine."
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "id": "a4c588d4",
   "metadata": {},
   "source": [
    "## Example: Simulating the creation of a 3-qubit GHZ state\n",
    "Consider a three qubit system which has a single qubit drive on each qubit and a two-qubit cross-resonance drive between each consecutive pair (1-2 and 2-3) of qubits. The Hamiltonian for the single qubit drive on qubit $i$ is given by\n",
    "$$\n",
    "H^{\\rm{S}}_{i}(t) = \\frac{1}{2} \\Omega_{i}(t) \\sigma^{-}_{i} + \\frac{1}{2} \\Omega_{i}^{*}(t)\\sigma^{+}_{i}\n",
    "$$\n",
    "and the Hamiltonian of the two-qubit cross-resonance drive between qubit $i$ and $j$ is given by\n",
    "$$\n",
    "H^{\\rm{CR}}_{ij}(t) = \\frac{1}{2} \\left( \\Gamma_{ij}(t) \\sigma^{-}_{i} + \\Gamma_{ij}^{*}(t)\\sigma^{+}_{i} \\right)  \\otimes \\sigma^{z}_j  ,\n",
    "$$\n",
    "where $\\sigma^x$, $\\sigma^y$ and $\\sigma^z$ are the Pauli matrices, $\\sigma^{\\pm} = (\\sigma^x \\mp i \\sigma^y)/2$ are the Pauli ladder operators, and $\\Omega_i$ and $\\Gamma_{ij}$ are complex Rabi rates that control the single qubit evolution and the two-qubit evolution respectively. The total system Hamiltonian is then\n",
    "$$\n",
    "H^{\\rm{total}}(t) = \\sum_{i=1}^3 H^{\\rm{S}}_{i}(t) + \\sum_{i=1,2} H^{\\rm{CR}}_{i,i+1}(t) +  H^{\\rm{CR}}_{i+1,i}(t)  .\n",
    "$$\n",
    "\n",
    "This cross-resonance Hamiltonian model approximates the behavior of many commercial quantum computing devices as described in a review by [Krantz et al.](https://doi.org/10.1063/1.5089550).\n",
    "\n",
    "\n",
    "### Noise-free simulation of GHZ-state generation\n",
    "We want to use this Hamiltonian to implement a circuit that prepares the Greenberger–Horne–Zeilinger (GHZ) state\n",
    "$$\n",
    "\\left| \\rm{GHZ} \\right> = \\frac{\\left( \\left| 000 \\right> + \\left| 111 \\right> \\right)}{\\sqrt{2}}  .\n",
    "$$\n",
    "We can use the standard three-qubit GHZ circuit —which contains a Hadamard gate on the first qubit followed by two CNOT gates between the first and the second qubit, and the second and the third qubit— to prepare this state.\n",
    "\n",
    "![circuit.png](attachment:circuit.png)\n",
    "\n",
    "Let us generate these different pulses using the [CORPSE](https://docs.q-ctrl.com/open-controls/references/qctrl-open-controls/qctrlopencontrols/new_corpse_control) pulse provided by the Q-CTRL Open Controls package."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5a7a94e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import qctrlopencontrols as oc\n",
    "import qctrlvisualizer as qv\n",
    "import boulderopal as bo\n",
    "\n",
    "plt.style.use(qv.get_qctrl_style())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4d2037d0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define control parameters.\n",
    "omega_max = 2 * np.pi * 1e6  # Hz\n",
    "gamma_max = np.pi * 1e6  # Hz\n",
    "\n",
    "# Get predefined X90, Y90 and CR pulses,\n",
    "# new_corpse_control creates a pulse with three segments.\n",
    "dt = 3\n",
    "X90_pulse = oc.new_corpse_control(\n",
    "    rabi_rotation=np.pi / 2, maximum_rabi_rate=omega_max, azimuthal_angle=0, name=\"X90\"\n",
    ")\n",
    "Y90_pulse = oc.new_corpse_control(\n",
    "    rabi_rotation=np.pi / 2,\n",
    "    maximum_rabi_rate=omega_max,\n",
    "    azimuthal_angle=np.pi / 2,\n",
    "    name=\"Y90\",\n",
    ")\n",
    "CR90m_pulse = oc.new_corpse_control(\n",
    "    rabi_rotation=np.pi / 2,\n",
    "    maximum_rabi_rate=gamma_max,\n",
    "    azimuthal_angle=np.pi,\n",
    "    name=\"CR90m\",\n",
    ")\n",
    "\n",
    "# Get the amplitude of these pulses.\n",
    "X90_amplitude = X90_pulse.amplitude_x + 1j * X90_pulse.amplitude_y\n",
    "Y90_amplitude = Y90_pulse.amplitude_x + 1j * Y90_pulse.amplitude_y\n",
    "CR90m_amplitude = CR90m_pulse.amplitude_x + 1j * CR90m_pulse.amplitude_y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "911f68ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create signals on each of the five channels to constitute a pulse schedule.\n",
    "\n",
    "# Time segments\n",
    "durations = np.concatenate(\n",
    "    [\n",
    "        pulse.durations\n",
    "        for pulse in [Y90_pulse, CR90m_pulse, X90_pulse, CR90m_pulse, X90_pulse]\n",
    "    ]\n",
    ")\n",
    "circuit_segment_count = len(durations)\n",
    "t = 0\n",
    "\n",
    "# Declare channels\n",
    "channel_0 = np.zeros(circuit_segment_count, dtype=complex)  # Acts on qubit 0\n",
    "channel_1 = np.zeros(circuit_segment_count, dtype=complex)  # Acts on qubit 1\n",
    "channel_2 = np.zeros(circuit_segment_count, dtype=complex)  # Acts on qubit 2\n",
    "channel_10 = np.zeros(circuit_segment_count, dtype=complex)  # Acts on qubits 1-0\n",
    "channel_21 = np.zeros(circuit_segment_count, dtype=complex)  # Acts on qubits 2-1\n",
    "\n",
    "# Phases keep track of the virtual Z-rotations.\n",
    "phases = np.zeros((3,), dtype=float)\n",
    "\n",
    "# Apply the Hadamard gate on qubit 0.\n",
    "phases[0] += -np.pi\n",
    "channel_0[t : t + dt] = Y90_amplitude * np.exp(1j * phases[0])\n",
    "t += dt\n",
    "\n",
    "# Apply the CX gate between qubit 0-1.\n",
    "channel_10[t : t + dt] = CR90m_amplitude * np.exp(1j * phases[1])\n",
    "t += dt\n",
    "channel_1[t : t + dt] = X90_amplitude * np.exp(1j * phases[1])\n",
    "t += dt\n",
    "phases[0] += -np.pi / 2\n",
    "\n",
    "# Apply the CX gate between qubit 1-2.\n",
    "channel_21[t : t + dt] = CR90m_amplitude * np.exp(1j * phases[2])\n",
    "t += dt\n",
    "channel_2[t : t + dt] = X90_amplitude * np.exp(1j * phases[2])\n",
    "t += dt\n",
    "phases[1] += -np.pi / 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e4ba99f",
   "metadata": {},
   "source": [
    "Let us visualize the schedule as a series of pulses on the five different channels involved in this circuit. We notice that each channel has a series of three-segment pulses which shows the application of various pulses to achieve different gates required to prepare the GHZ state. The total GHZ Hamiltonian will therefore be defined over 15 time segments. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0d54add1",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 720x1800 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "qv.plot_controls(\n",
    "    {\n",
    "        key: {\"durations\": durations, \"values\": channel}\n",
    "        for key, channel in zip(\n",
    "            [\"Channel 0\", \"Channel 1\", \"Channel 2\", \"Channel 10\", \"Channel 21\"],\n",
    "            [channel_0, channel_1, channel_2, channel_10, channel_21],\n",
    "        )\n",
    "    }\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ffa00585",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1829141\") has completed.\n"
     ]
    }
   ],
   "source": [
    "sample_times = np.linspace(0, np.sum(durations), 200)\n",
    "\n",
    "# Create graph to simulate the circuit linked to the channel definitions above.\n",
    "graph = bo.Graph()\n",
    "\n",
    "# Define the initial state.\n",
    "initial_state = graph.fock_state(2**3, 0)\n",
    "\n",
    "# Define the controls on the five channels.\n",
    "signal_0 = graph.pwc(durations=durations, values=channel_0)\n",
    "signal_1 = graph.pwc(durations=durations, values=channel_1)\n",
    "signal_2 = graph.pwc(durations=durations, values=channel_2)\n",
    "signal_10 = graph.pwc(durations=durations, values=channel_10)\n",
    "signal_21 = graph.pwc(durations=durations, values=channel_21)\n",
    "\n",
    "# Next, define the various local Hamiltonian terms.\n",
    "term_0 = signal_0 * graph.pauli_kronecker_product([(\"M\", 0)], 3)\n",
    "term_1 = signal_1 * graph.pauli_kronecker_product([(\"M\", 1)], 3)\n",
    "term_2 = signal_2 * graph.pauli_kronecker_product([(\"M\", 2)], 3)\n",
    "term_10 = signal_10 * graph.pauli_kronecker_product([(\"Z\", 0), (\"M\", 1)], 3)\n",
    "term_21 = signal_21 * graph.pauli_kronecker_product([(\"Z\", 1), (\"M\", 2)], 3)\n",
    "\n",
    "# Combine the terms to obtain the system Hamiltonian.\n",
    "term_sum = term_0 + term_1 + term_2 + term_10 + term_21\n",
    "system_hamiltonian = graph.hermitian_part(term_sum)\n",
    "\n",
    "# Compute the unitaries.\n",
    "unitaries = graph.time_evolution_operators_pwc(\n",
    "    hamiltonian=system_hamiltonian, sample_times=sample_times\n",
    ")\n",
    "\n",
    "# Evolve the initial state with the unitaries.\n",
    "states = unitaries @ initial_state[:, None]\n",
    "states.name = \"states\"\n",
    "\n",
    "# Run simulation.\n",
    "results = bo.execute_graph(graph=graph, output_node_names=\"states\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f9c9065",
   "metadata": {},
   "source": [
    "Let us visualize the trajectory of the system as gates are applied to the initial state. We see that the entire population starts in the ground state and the population of the ground state $|000\\rangle$ and the highest excited state $|111\\rangle$ equalizes as expected towards the end of the evolution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2a9cf176",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "states = results[\"output\"][\"states\"][\"value\"]\n",
    "population = np.squeeze(np.abs(states) ** 2)\n",
    "\n",
    "qv.plot_population_dynamics(\n",
    "    sample_times,\n",
    "    {r\"$|000\\rangle$\": population[:, 0], r\"$|111\\rangle$\": population[:, -1]},\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "28e65acd",
   "metadata": {},
   "source": [
    "### Noisy simulation in the presence of $1/f$ dephasing"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6d626a6",
   "metadata": {},
   "source": [
    "Building on this example, suppose there is also a dephasing noise on the single qubit channel:\n",
    "$$\n",
    "H^{\\rm{S}}_{i}(t) = \\frac{1}{2} \\Omega_{i}(t) \\sigma^{-}_{i} + \\frac{1}{2} \\Omega_{i}^{*}(t)\\sigma^{+}_{i} + \\frac{\\eta(t)}{2} \\sigma^z_i  ,\n",
    "$$\n",
    "where $\\eta(t)$ is a random variable with a power spectrum that can be described by the pink ($1/f$) noise model shown below.\n",
    "\n",
    "Here, we will generate batches of noise trajectories using the `graph.random.colored_noise_stf_signal` node. This node creates a batch of continuous noise trajectories from the power density of the pink noise which we then discretize to $50$ equally spaced points between the start and the end of the circuit evolution. From these batches of noise, we will create a batch of noise Hamiltonians where each Hamiltonian of the batch represents a different realization of the noise variable.\n",
    "\n",
    "We will then add the GHZ Hamiltonian to the batch of noise Hamiltonians to create a batch of total Hamiltonians. The noise Hamiltonians were sampled on $50$ time points between the start and end of the circuit whereas the GHZ Hamiltonian has been defined over $15$ time segments. Boulder Opal automatically reconciles differing time segmentation while summing over Hamiltonian terms. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "bdc3bf53",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def pink_spectrum(frequencies, frequency_cutoff):\n",
    "    return 1 / (frequencies + frequency_cutoff)\n",
    "\n",
    "\n",
    "frequency_step = 2 * 1e3\n",
    "frequencies = np.arange(0, 2 * 1e6, frequency_step)\n",
    "\n",
    "power_densities = 4e9 * pink_spectrum(\n",
    "    frequencies=frequencies, frequency_cutoff=0.05 * 1e6\n",
    ")\n",
    "\n",
    "plt.plot(frequencies / 1e6, power_densities * 1e6, color=\"#EB64B6\")\n",
    "plt.fill_between(frequencies / 1e6, 0, power_densities * 1e6, color=\"#F790DB\")\n",
    "plt.xlabel(\"Frequency (MHz)\")\n",
    "plt.ylabel(\"Power density (1/MHz)\")\n",
    "plt.title(\"Dephasing noise spectral density\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cc3e623d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1829142\") is queued.\n",
      "Your task (action_id=\"1829142\") has started.\n",
      "Your task (action_id=\"1829142\") has completed.\n"
     ]
    }
   ],
   "source": [
    "# Run these many simulations with different noise trajectories.\n",
    "simulation_count = 50\n",
    "\n",
    "# Create a graph for the GHZ circuit with noise trajectories.\n",
    "graph = bo.Graph()\n",
    "\n",
    "# Define the initial state.\n",
    "initial_state = graph.fock_state(2**3, 0)\n",
    "\n",
    "# Define the controls on the five channels.\n",
    "signal_0 = graph.pwc(durations=durations, values=channel_0)\n",
    "signal_1 = graph.pwc(durations=durations, values=channel_1)\n",
    "signal_2 = graph.pwc(durations=durations, values=channel_2)\n",
    "signal_10 = graph.pwc(durations=durations, values=channel_10)\n",
    "signal_21 = graph.pwc(durations=durations, values=channel_21)\n",
    "\n",
    "# System Hamiltonian.\n",
    "term_0 = signal_0 * graph.pauli_kronecker_product([(\"M\", 0)], 3)\n",
    "term_1 = signal_1 * graph.pauli_kronecker_product([(\"M\", 1)], 3)\n",
    "term_2 = signal_2 * graph.pauli_kronecker_product([(\"M\", 2)], 3)\n",
    "term_10 = signal_10 * graph.pauli_kronecker_product([(\"Z\", 0), (\"M\", 1)], 3)\n",
    "term_21 = signal_21 * graph.pauli_kronecker_product([(\"Z\", 1), (\"M\", 2)], 3)\n",
    "\n",
    "system_hamiltonian = graph.hermitian_part(term_0 + term_1 + term_2 + term_10 + term_21)\n",
    "\n",
    "# Noise Hamiltonian. Generate random noise trajectories for each of the three channels.\n",
    "noise_channel = []\n",
    "for _ in range(3):\n",
    "    noise_stf = graph.random.colored_noise_stf_signal(\n",
    "        power_spectral_density=power_densities,\n",
    "        frequency_step=frequency_step,\n",
    "        batch_shape=(simulation_count,),\n",
    "    )\n",
    "    noise_pwc = graph.discretize_stf(\n",
    "        stf=noise_stf, duration=np.sum(durations), segment_count=50\n",
    "    )\n",
    "    noise_channel.append(noise_pwc)\n",
    "\n",
    "noise_hamiltonian = (\n",
    "    noise_channel[0] * graph.pauli_kronecker_product([(\"Z\", 0)], 3)\n",
    "    + noise_channel[1] * graph.pauli_kronecker_product([(\"Z\", 1)], 3)\n",
    "    + noise_channel[2] * graph.pauli_kronecker_product([(\"Z\", 2)], 3)\n",
    ")\n",
    "\n",
    "# Combine the system and the noise Hamiltonian to get the total Hamiltonian.\n",
    "# We can automatically combine a batched and a non-batched term.\n",
    "hamiltonian = system_hamiltonian + noise_hamiltonian\n",
    "\n",
    "# Compute the unitaries.\n",
    "unitaries = graph.time_evolution_operators_pwc(\n",
    "    hamiltonian=hamiltonian, sample_times=sample_times\n",
    ")\n",
    "\n",
    "# Use the unitary to evolve the initial state.\n",
    "states = unitaries @ initial_state[:, None]\n",
    "\n",
    "# Get the density matrix, ρ = |ψ><ψ|\n",
    "density_matrices = graph.outer_product(\n",
    "    states[..., 0], states[..., 0], name=\"density_matrices\"\n",
    ")\n",
    "\n",
    "# Run simulation.\n",
    "results = bo.execute_graph(graph=graph, output_node_names=\"density_matrices\")\n",
    "\n",
    "density_matrices = results[\"output\"][\"density_matrices\"][\"value\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c32dc95",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "We can average out these trajectories to obtain the approximate density matrix of the system and plot the population in the $|000\\rangle$ and the $|111\\rangle$ states."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "24bf9679",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Average out the density matrices and get the populations.\n",
    "noise_population = np.real_if_close(\n",
    "    np.diagonal(np.average(density_matrices, axis=0), axis1=-1, axis2=-2)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b2b00ad3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "qv.plot_population_dynamics(\n",
    "    sample_times,\n",
    "    {\n",
    "        r\"$|000\\rangle$\": noise_population[:, 0],\n",
    "        r\"$|111\\rangle$\": noise_population[:, -1],\n",
    "    },\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72bb81a5",
   "metadata": {},
   "source": [
    "This evolution looks very similar to the noiseless case. The impact of the noise is visible in the difference between the ideal population and the population under noisy evolution. The ideal states lose about $2\\%$ of population each."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2b70e80c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "population_difference = noise_population - population\n",
    "plt.plot(sample_times * 1e6, population_difference[:, [0, -1]])\n",
    "plt.xlabel(\"Time (µs)\")\n",
    "plt.ylabel(\"Probability (noisy - ideal)\")\n",
    "plt.legend([r\"$|000\\rangle$\", r\"$|111\\rangle$\"])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39a92005",
   "metadata": {},
   "source": [
    "### Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a829f312",
   "metadata": {},
   "source": [
    "We have shown how Boulder Opal can simulate quantum dynamics of a multi-qubit circuit with and without the presence of noise. While we have considered the cross-resonance Hamiltonian model here, the basic principles remain the same for any kind of Hamiltonian model. "
   ]
  }
 ],
 "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": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}