{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "cell-00",
   "metadata": {},
   "source": [
    "# How to interpret the shaded lightcone visualizations\n",
    "\n",
    "The package provides two ways to look at a shaded lightcone:\n",
    "\n",
    "- `draw_shaded_lightcone` overlays the bounds onto the circuit diagram. THis is best for circuits on a 1D\n",
    "  chain of qubits, where the circuit diagram and the physical layout agree.\n",
    "- `animate_shaded_lightcone` projects the bounds onto the QPU's coupling map and steps through the\n",
    "  circuit layer by layer. This is best when the qubit connectivity is more than a 1D line, where a circuit\n",
    "  diagram stops conveying which qubits are neighbors.\n",
    "\n",
    "Both visualizations show the same underlying numbers. This guide covers what those numbers mean, and explains the details\n",
    "that are easy to misread."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-01",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "Use the same Trotterized Ising circuit and observable as the [quickstart guide](quickstart.ipynb)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cell-02",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Optimal spacetime partitioning not implemented! Just partitioning list of noisy boxes.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "observable: Z on qubit 5\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from qiskit import QuantumCircuit\n",
    "from qiskit.quantum_info import Pauli, PauliLindbladMap, QubitSparsePauliList\n",
    "from qiskit_addon_slc.bounds import (\n",
    "    compute_backward_bounds,\n",
    "    compute_forward_bounds,\n",
    "    merge_bounds,\n",
    ")\n",
    "from qiskit_addon_slc.utils import generate_noise_model_paulis\n",
    "from samplomatic.transpiler import generate_boxing_pass_manager\n",
    "from samplomatic.utils import find_unique_box_instructions\n",
    "\n",
    "\n",
    "def trotter_ising_circuit(num_qubits, num_steps, rx_angle, rzz_angle):\n",
    "    \"\"\"Trotterized transverse-field Ising evolution on a 1D chain.\"\"\"\n",
    "    circuit = QuantumCircuit(num_qubits)\n",
    "    for _ in range(num_steps):\n",
    "        circuit.rx(rx_angle, range(num_qubits))\n",
    "        circuit.barrier()\n",
    "        for start in (0, 1):  # even then odd bonds\n",
    "            for i in range(start, num_qubits - 1, 2):\n",
    "                circuit.rzz(rzz_angle, i, i + 1)\n",
    "        circuit.barrier()\n",
    "    return circuit\n",
    "\n",
    "\n",
    "num_qubits = 10\n",
    "circuit = trotter_ising_circuit(num_qubits, num_steps=4, rx_angle=np.pi / 16, rzz_angle=-np.pi / 3)\n",
    "observable = Pauli(\"I\" * num_qubits).compose(\"Z\", [num_qubits // 2])\n",
    "\n",
    "boxing_pass = generate_boxing_pass_manager(\n",
    "    inject_noise_targets=\"all\",\n",
    "    inject_noise_strategy=\"individual_modification\",\n",
    "    inject_noise_site=\"after\",\n",
    "    twirling_strategy=\"active\",\n",
    "    remove_barriers=\"never\",\n",
    ")\n",
    "boxed_circuit = boxing_pass.run(circuit)\n",
    "noise_model_paulis = generate_noise_model_paulis(find_unique_box_instructions(boxed_circuit))\n",
    "\n",
    "forward_bounds = compute_forward_bounds(boxed_circuit, noise_model_paulis, observable)\n",
    "backward_bounds = compute_backward_bounds(boxed_circuit, noise_model_paulis)\n",
    "\n",
    "rng = np.random.default_rng(42)\n",
    "noise_rates = {\n",
    "    layer: PauliLindbladMap.from_components(\n",
    "        rng.random(len(terms)) * 5e-3,\n",
    "        QubitSparsePauliList.from_sparse_list(terms.to_sparse_list(), terms.num_qubits),\n",
    "    )\n",
    "    for layer, terms in noise_model_paulis.items()\n",
    "}\n",
    "merged_bounds = merge_bounds(boxed_circuit, forward_bounds, backward_bounds, noise_rates)\n",
    "print(f\"observable: Z on qubit {num_qubits // 2}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-03",
   "metadata": {},
   "source": [
    "## `draw_shaded_lightcone`\n",
    "\n",
    "Each noisy box is shaded by the bound on the errors occurring there: bright means a large bound, and\n",
    "a box fading into the background means its errors have little effect on the observable. Those faded\n",
    "boxes are the candidates for dropping from the mitigated noise model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cell-04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1732.36x434.778 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit_addon_slc.visualization import draw_shaded_lightcone\n",
    "\n",
    "draw_shaded_lightcone(boxed_circuit, merged_bounds, noise_model_paulis, fold=-1, scale=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-05",
   "metadata": {},
   "source": [
    "### Important notes\n",
    "\n",
    "**1. Each number is a sum over the error terms sharing a support.** Without a filter, the bounds of\n",
    "every error term acting on the same qubit, or on the same pair of qubits, are added into one value:\n",
    "all three Pauli types on a qubit, and all nine on a pair. That has two consequences. A value can\n",
    "exceed 2.0, even though no single term's bound can (a box labelled `4.5` is several terms adding up,\n",
    "not a violated bound). The figure cannot tell you whether a large value comes from one Pauli\n",
    "type or from several comparable ones; the next section shows how to separate them.\n",
    "\n",
    "**2. The color scale starts at 2.0 and grows with the data.** The scale runs from 0 to the\n",
    "`\"max_bound\"` entry of the overlaid circuit's metadata, which is the larger of 2.0 and the largest\n",
    "value shown. Unfiltered sums often exceed 2.0, so the scale stretches to fit them, and the same\n",
    "color can stand for different values in different figures. When every value is small, the\n",
    "scale stays at 2.0 and everything looks uniformly dark (that is the scale reflecting the absolute\n",
    "size, not a rendering fault)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-06",
   "metadata": {},
   "source": [
    "### Separating the Pauli types\n",
    "\n",
    "Use `pauli_filter` to see one type at a time. An integer selects a Pauli weight; a string selects\n",
    "a specific Pauli, matched against each noise term **reduced to its own non-identity support**. So\n",
    "`\"X\"` selects every single-qubit $X$ error, regardless of which qubit it acts on, and `\"XX\"` selects the\n",
    "weight-2 ones (a full-width label like `\"XII\"` matches nothing)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cell-07",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "single-qubit supports of box 'm0':\n",
      "\n",
      "  filter  bounds per qubit\n",
      "    None  {0: 0.0, 1: 0.0, 2: 0.0, 3: 0.312, 4: 1.355, 5: 5.111, 6: 1.506, 7: 0.124, 8: 0.019, 9: 0.0}\n",
      "       1  {0: 0.0, 1: 0.0, 2: 0.0, 3: 0.312, 4: 1.355, 5: 5.111, 6: 1.506, 7: 0.124, 8: 0.019, 9: 0.0}\n",
      "       X  {0: 0.0, 1: 0.0, 2: 0.0, 3: 0.153, 4: 0.577, 5: 2.0, 6: 0.702, 7: 0.056, 8: 0.01, 9: 0.0}\n",
      "       Y  {0: 0.0, 1: 0.0, 2: 0.0, 3: 0.148, 4: 0.607, 5: 2.0, 6: 0.631, 7: 0.057, 8: 0.01, 9: 0.0}\n",
      "       Z  {0: 0.0, 1: 0.0, 2: 0.0, 3: 0.011, 4: 0.172, 5: 1.111, 6: 0.172, 7: 0.011, 8: 0.0, 9: 0.0}\n"
     ]
    }
   ],
   "source": [
    "from qiskit_addon_slc.visualization import accumulate_filtered_bounds\n",
    "\n",
    "box_id = next(iter(merged_bounds))\n",
    "print(f\"single-qubit supports of box {box_id!r}:\\n\")\n",
    "print(f\"{'filter':>8}  bounds per qubit\")\n",
    "for pauli_filter in (None, 1, \"X\", \"Y\", \"Z\"):\n",
    "    filtered = accumulate_filtered_bounds(\n",
    "        boxed_circuit, merged_bounds, noise_model_paulis, pauli_filter\n",
    "    )\n",
    "    per_qubit = {\n",
    "        support[0]: round(float(bound), 3)\n",
    "        for support, bound in sorted(filtered[box_id].items())\n",
    "        if len(support) == 1\n",
    "    }\n",
    "    print(f\"{pauli_filter!s:>8}  {per_qubit}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-08",
   "metadata": {},
   "source": [
    "The unfiltered row is the sum of the three Pauli types below it. Filtering is the only way to tell\n",
    "whether a large unfiltered value comes from one dominant error type or from several comparable ones.\n",
    "That matters, because the mitigation acts per term, not per site.\n",
    "\n",
    "Passing the same filter to `draw_shaded_lightcone` records it in the figure title, so a filtered\n",
    "figure cannot be mistaken for an unfiltered one:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cell-09",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 394.582x434.778 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "draw_shaded_lightcone(\n",
    "    boxed_circuit, merged_bounds, noise_model_paulis, pauli_filter=\"X\", fold=-1, scale=0.5\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-10",
   "metadata": {},
   "source": [
    "This figure looks quite different from the unfiltered one above, and not only because it shows\n",
    "fewer values. Each placeholder in these figures stands for one support: a single qubit, or a pair of\n",
    "qubits. Without a filter, a box shows a placeholder on every qubit and on every pair of neighboring\n",
    "qubits, so it spreads over several columns. With `\"X\"`, only the single-qubit supports remain, and\n",
    "each box shrinks to a single column.\n",
    "\n",
    "Neither picture shows what PEC actually applies though. The placeholders are a way to display\n",
    "bounds, not anti-noise gates. During the experiment, every box whose error terms are mitigated is\n",
    "treated as a single layer of two-qubit gates, and the anti-noise Paulis sampled for its error terms\n",
    "are composed into one Pauli that is applied to that layer as a whole.\n",
    "\n",
    "## `animate_shaded_lightcone`\n",
    "\n",
    "On a device whose connectivity is not a 1D line, a circuit diagram no longer shows which qubits are\n",
    "neighbors, so the spatial spread of the lightcone becomes impossible to read.\n",
    "`animate_shaded_lightcone` instead draws the QPU's coupling map and animates the bounds across it,\n",
    "one noisy box per frame.\n",
    "\n",
    "It needs a `CouplingMap`, which it lays out on a grid by embedding the device graph, so it handles both \n",
    "heavy-hex and square connectivity.\n",
    "\n",
    "<div class=\"alert alert-info\">\n",
    "\n",
    "**Note:** In this rendered documentation the animation is static. The slider and play button only\n",
    "work when the notebook runs interactively, for example in Jupyter.\n",
    "\n",
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from qiskit import transpile\n",
    "from qiskit.transpiler import CouplingMap\n",
    "from qiskit_addon_slc.visualization import animate_shaded_lightcone\n",
    "\n",
    "# A small square-lattice device stands in for a real backend here.\n",
    "coupling_map = CouplingMap.from_grid(3, 4)\n",
    "\n",
    "# Lay the chain onto a connected path of physical qubits, snaking through the grid, so the\n",
    "# transpiler inserts no SWAPs: a SWAP-laden circuit is far more expensive to bound and harder to\n",
    "# read.\n",
    "initial_layout = [0, 1, 2, 3, 7, 6, 5, 4, 8, 9]\n",
    "device_circuit = transpile(\n",
    "    circuit,\n",
    "    coupling_map=coupling_map,\n",
    "    initial_layout=initial_layout,\n",
    "    optimization_level=0,\n",
    ")\n",
    "boxed_device_circuit = boxing_pass.run(device_circuit)\n",
    "device_noise_paulis = generate_noise_model_paulis(\n",
    "    find_unique_box_instructions(boxed_device_circuit),\n",
    "    coupling_map=coupling_map,\n",
    "    circuit=boxed_device_circuit,\n",
    ")\n",
    "# The same observable, on the physical qubit the middle of the chain was laid onto.\n",
    "device_observable = Pauli(\"I\" * device_circuit.num_qubits).compose(\n",
    "    \"Z\", [initial_layout[num_qubits // 2]]\n",
    ")\n",
    "device_bounds = compute_forward_bounds(boxed_device_circuit, device_noise_paulis, device_observable)\n",
    "\n",
    "animate_shaded_lightcone(boxed_device_circuit, device_bounds, coupling_map)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-12",
   "metadata": {},
   "source": [
    "### Reading the animation\n",
    "\n",
    "**Each qubit is a pie chart, one slice per Pauli type.** A qubit's marker is divided into three\n",
    "slices for its $X$, $Y$ and $Z$ errors, each shaded by its own bound. This is the filtering from the\n",
    "previous section built into the figure (no `pauli_filter` needed to tell the types apart).\n",
    "\n",
    "**Edges carry the two-qubit error bounds.** The line between two coupled qubits is shaded by the\n",
    "bound on weight-2 errors acting on that pair.\n",
    "\n",
    "**Light gray means no data, not a small bound.** A slice or an edge is drawn light gray when the\n",
    "box's noise model has no error term for it, for instance on qubits the box does not act on. It is\n",
    "drawn gray rather than dark so it cannot be confused with a bound of zero. Boxes beyond a\n",
    "`max_num_boxes` limit are different: they carry the trivial bound of 2.0, so they are drawn at the\n",
    "bright end of the scale.\n",
    "\n",
    "**The slider steps through boxes, not through time uniformly.** There is one frame per noisy box, in\n",
    "circuit order (or in reverse order with `reverse=True`, which traces the lightcone backwards from\n",
    "the observable). Watching it in reverse is usually the more intuitive direction: the cone grows\n",
    "outwards from the measured qubits. Each frame is labelled with its box's identifier, the same key\n",
    "under which the bounds dictionary stores that box, so the slider can also be used to jump to a\n",
    "particular box and look up its numbers.\n",
    "\n",
    "<div class=\"alert alert-info\">\n",
    "\n",
    "**Note:** The qubit layout is recovered from the coupling map's graph by embedding it into a square\n",
    "lattice. A coupling map that does not embed (because it is disconnected, or too densely connected\n",
    "for a grid) raises a `ValueError` rather than drawing a misleading picture.\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-13",
   "metadata": {},
   "source": [
    "## Which to use\n",
    "\n",
    "| | `draw_shaded_lightcone` | `animate_shaded_lightcone` |\n",
    "| --- | --- | --- |\n",
    "| geometry | the circuit diagram | the QPU coupling map |\n",
    "| best for | 1D chains | any connectivity |\n",
    "| Pauli types | summed, unless filtered | always split, as pie slices |\n",
    "| time | all layers at once | one layer per frame |\n",
    "| output | a `matplotlib` figure | a `plotly` figure |\n",
    "\n",
    "For a 1D chain the static figure is easier to take in at a glance and reproduces in a paper. Beyond\n",
    "1D the animation is the only one of the two that shows the spatial structure faithfully."
   ]
  }
 ],
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