{ "cells": [ { "cell_type": "markdown", "id": "3a88c87c-6b44-45fb-bf82-df9311fb54be", "metadata": {}, "source": [ "# Simple pricing comparison between quantum hardware vendors\n", "\n", "```{post} 2025-05-25\n", ":category: Hardware\n", "```" ] }, { "cell_type": "markdown", "id": "0943aea6-e223-4b98-b21a-8b35c27195b0", "metadata": {}, "source": [ "Computing the cost of executing circuits between different quantum hardware modalities is quite challenging. Namely, the pricing structures are markedly different, there are lots of special conditions that can apply, and the same hardware can be priced differently depending on the cloud provider one goes through. \n", "\n", "Here I do a very simple yet effective price comparison between IBM, IonQ, and Quantinuum over a range of single- and two-qubit gate values. The stark differences in pricing are readily apparent in this example." ] }, { "cell_type": "markdown", "id": "add0965e-6ac3-4d55-8e4f-f5a3da3c721e", "metadata": {}, "source": [ "## Frontmatter\n", "\n", "Here we load the imports we need for this notebook. Here we will use the `RunningMan` library for executing circuits on IBM hardware. If you want to reproduce the results here, you can grab this package using `pip install runningman`, or rewrite the notebook to use the standard IBM Runtime." ] }, { "cell_type": "code", "execution_count": 1, "id": "b767360a-2711-4b9d-b66d-0c2945bbabd8", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.colors\n", "\n", "from qiskit import *\n", "import runningman as rm\n", "\n", "%config InlineBackend.figure_format='retina'" ] }, { "cell_type": "code", "execution_count": 2, "id": "51175b34-7f52-4a6b-ab62-3a7339374032", "metadata": {}, "outputs": [], "source": [ "provider = rm.RunningManProvider()" ] }, { "cell_type": "markdown", "id": "8a0bf863-f0c7-48a4-b483-a6b10acd3eb9", "metadata": {}, "source": [ "## Quantum hardware vendor pricing\n", "\n", "Note that I am using only publicly available pricing information, so I may not have all arrangements covered in the analysis." ] }, { "cell_type": "markdown", "id": "e9911aa6-cf8a-4f5d-917c-9d55147701ef", "metadata": {}, "source": [ "### IBM Quantum\n", "\n", "IBM Quantum [hardware execution pricing](https://www.ibm.com/quantum/pricing) is based on time. In particular, the time here is the time that a given quantum system is locked to a specific user, and thus unavailable to others. IBM Quantum rounds this time to the largest integer seconds; a value called \"Runtime seconds\". At the time of writing there are three conversion factors used in converting Runtime seconds to US Dollars:\n", "\n", "| Plan | Description | Cost per Runtime second (USD) |\n", "| :----------- | :--------------------------------: | ----------------------------: |\n", "| Pay-go | Pay for time as you use it | 1.60 |\n", "| Flex | Prepay for time in small units | 1.20 |\n", "| Premium | Usage contracts covering 1+ years | 0.80 |\n", "\n", "Note that I am not including the \"Open Plan\" here, which gives an user 10 minutes of runtime per month. Nor am I considering the pricing of whole-system access. This kind of access is out of scope here.\n", "\n", "Because IBM's pricing is based on time (rounded up to nearest second), it is near impossible to get an exact cost for executing a given circuit. Qiskit will estimate the execution time, and do a good job of it, but there is also idle-time between circuits and IO / classical overheads to deal with. To get around these issues, below we will just execute circuits on hardware to get the true costs." ] }, { "cell_type": "markdown", "id": "e222c7e9-6ba6-417e-8e27-c41f6c40adc3", "metadata": {}, "source": [ "### IonQ\n", "\n", "Unlike IBM, IonQ's quantum systems are available from multiple cloud providers, each with their own pricing structures. IonQ has two families of system currently available: the 25-qubit Aria and 32-qubit Forte devices. Each can have its own pricing numbers.\n", "\n", "#### MS Azure\n", "\n", "On MS Azure, [pricing](https://learn.microsoft.com/en-us/azure/quantum/pricing) is computed by counting the number of single- and two-qubit gates in the circuit. These are then multiplied by the number of shots (number of times the circuit is executed) and a numerical coefficient that converts the gates to dollars. In addition, there is a constant charge per job sent to the hardware. Because only a single circuit can be sent per job, this is just a flat-rate overhead for submitting a circuit. Concretely, the formula is:\n", "\n", "$$\n", "\\rm{AQT} = m + 0.000220*(N_{1Q}*\\rm{shots}) + 0.000975*(N_{2Q}*\\rm{shots})\n", "$$\n", "\n", "Here, $m$ can take on two possible values: $m=\\$97.50$ if error-mitigation is turned on, which is default, otherwise $m=\\$12.4166$. MS Azure charges the same for both Aria and Forte systems.\n", "\n", "#### Google Cloud\n", "\n", "IonQ is also [avilable on Google Cloud](https://console.cloud.google.com/marketplace/product/ionq-public/ionq). The Aria pricing follows the same pricing as MS Azure. However, Google Cloud charges more for using the Forte system. Namely when using Forte the constant job pricing values are $m=\\$168.20$ with error mitigation on, and $m=\\$25.79$ without. In addition, the single- and two-qubit gate prices per shot are $0.0001645$ and $0.0011213$, respectively.\n", "\n", "#### AWS Braket\n", "\n", "Finally, IonQ can be accessed via AWS Braket. Unlike both Azure and Google Cloud, [AWS charges a fixed price to execute a circuit](https://aws.amazon.com/braket/pricing/), regardless of the number of gates in the circuit.\n", "\n", "| Device | Cost per job (USD) | Cost per shot (USD) |\n", "| :------------ | :--------------------------------: | ----------------------------: |\n", "| Aria | 0.30 | 0.03 |\n", "| Forte | 0.30 | 0.08 |\n", "\n", "So, for example, if one ran a circuit at $512$ shots on the Aria device the total price would be: $\\$0.30 + \\$0.03*512 = \\$15.66$.\n", "\n", "Note that AWS also offers a \"Reservation Mode\" price of 7,000 USD per hour, which equates to $1.94 per second." ] }, { "cell_type": "markdown", "id": "02dfc475-c5d7-46fe-b119-6354b8404b58", "metadata": {}, "source": [ "### Quantinuum\n", "\n", "Quantinuum systems are available through [MS Azure](https://learn.microsoft.com/en-us/azure/quantum/pricing), and like IonQ, are priced based on the number of operations within a circuit. However, for Quantinuum, these operations also include qubit measurements. The formula is very similar to that of IonQ, and is given in terms of \" H-system Quantum Credits\" (HQC), previously known as Honeywell Quantum Credits since Honeywell makes the device:\n", "\n", "$$\n", "\\rm{HQC} = 5 + \\frac{\\rm{shots}}{5000}*(N_{1Q} + 10 N_{2Q} + 5 N_{\\rm{meas}})\n", "$$\n", "\n", "When using 20 qubits or less, the price per HQC is $\\$12.50$. where as using up to 56 qubits, and thus running on their larger H2 system, the price is a dollar higher at $\\$13.50$ per HQC." ] }, { "cell_type": "markdown", "id": "4296c628-17c3-4aca-9291-1ec93a63c309", "metadata": {}, "source": [ "## Price comparisons" ] }, { "cell_type": "markdown", "id": "d7b8767e-e4fe-477c-96fe-70ec1eadc45b", "metadata": {}, "source": [ "### IonQ vs Quantinuum on MS Azure\n", "\n", "The easiest comparison is looking at IonQ and Quantinuum on Azure. Because both are priced by gate counts, and measurements for Quantinuum, this is a simple exercise. Here we will use the lowest price options available on both systems. Namely $m=\\$12.4166$ for IonQ and $\\$12.50$ per HQC for Quantinuum. In addition, we will assume there are two measurements regardless of the number of gates in the circuit. Outside of this assumption, there is no need to specify the exact circuit to be executed. We do however need to set a value for the number of times to sample the circuit (shots). Here we use 512 shots as it is the Azure default value.\n", "\n", "Now, since all quantum hardware is not equal we need to define the number of gates used in the comparison correctly. According to [arXiv:2502.06471](https://doi.org/10.48550/arXiv.2502.06471), IonQ systems can execute at most 650 two-qubit gates, whereas Quantinuum can do no more than 18,375 and IBM approaches one million. As such, we will limit ourselves to at most 650 two-qubit gates. Likewise, we will restrict the number of single-qubit gates to $3*650 = 1950$ gates. The factor of three is just because when a generic two-qubit gate is decomposed one gets a handful of single-qubit gates. Three seemed to be a reasonable guess for a value after a compiler is done with it. Feel free to pick your own.\n", "\n", "To perform the pricing, we create a two-dimensional grid of two-qubit and single-qubit values over which to compute the pricing:" ] }, { "cell_type": "code", "execution_count": 3, "id": "95d183b7-7302-4e6b-8fa8-a0255fb84fcb", "metadata": {}, "outputs": [], "source": [ "x = np.arange(650 + 1)\n", "y = np.arange(3 * 650 + 1)" ] }, { "cell_type": "code", "execution_count": 4, "id": "491bf2e6-5dcd-43b1-8000-470f99161e70", "metadata": {}, "outputs": [], "source": [ "X, Y = np.meshgrid(x, y)" ] }, { "cell_type": "markdown", "id": "be47a2fa", "metadata": {}, "source": [] }, { "cell_type": "markdown", "id": "8a9b6db2-83a7-412b-ad34-2e3fd823c0ce", "metadata": {}, "source": [ "We then use our pricing formulas to compute the cost of executing a circuit for each grid-point of values:" ] }, { "cell_type": "code", "execution_count": 5, "id": "a687ad35-2096-4877-a1c5-cdf725a4e4c6", "metadata": {}, "outputs": [], "source": [ "Z_ionq = 12.42 + 0.000975 * (X * 512) + 0.00020 * (Y * 512)" ] }, { "cell_type": "code", "execution_count": 6, "id": "b8fda42d-0857-45ac-8816-5a807f330068", "metadata": {}, "outputs": [], "source": [ "Z_quantinuum = 12.50 * (5 + (10 * X + Y + 5 * 2) * 512 / 5000)" ] }, { "cell_type": "markdown", "id": "4196c294-3c1f-4710-b714-856d7fa21ac3", "metadata": {}, "source": [ "All that is left now is to plot the results, which takes the most code, using a colormap normalized to the maximum Quantinuum value since, as we will see, it is the highest:" ] }, { "cell_type": "code", "execution_count": 16, "id": "3d0e9997-bf77-4d8c-b998-c9526675ffea", "metadata": {}, "outputs": [], "source": [ "# Generate a custom colormap\n", "cmap = matplotlib.colors.LinearSegmentedColormap.from_list(\n", " \"\",\n", " [\n", " \"#e5f6ff\",\n", " \"#bae6ff\",\n", " \"#82cfff\",\n", " \"#33b1ff\",\n", " \"#1192e8\",\n", " \"#0072c3\",\n", " \"#00539a\",\n", " \"#003a6d\",\n", " \"#012749\",\n", " \"#1c0f30\",\n", " ],\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "id": "cf7e9dce-8f5a-4a11-bdfe-a9a739a90c9a", "metadata": {}, "outputs": [], "source": [ "# format the contour labels\n", "def fmt(x):\n", " return f\"{int(x)}\"" ] }, { "cell_type": "code", "execution_count": 9, "id": "ebfe6bbe-9589-489e-85e9-f8768a6440cd", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 387, "width": 1047 } }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10, 4), sharey=True)\n", "\n", "res = axes[0].pcolormesh(X, Y, Z_ionq, cmap=cmap, vmin=0, vmax=Z_quantinuum.max())\n", "cont = axes[0].contour(\n", " X, Y, Z_ionq, levels=[100, 200, 300, 400, 500], zorder=3, colors=\"k\"\n", ")\n", "# plt.colorbar(res, label='USD');\n", "axes[0].clabel(cont, cont.levels, fmt=fmt, fontsize=10)\n", "axes[0].set_xlabel(\"# 2Q gates\", fontsize=12)\n", "axes[0].set_ylabel(\"# 1Q gates\", fontsize=12)\n", "axes[0].set_title(\"Azure IonQ pricing\", fontsize=12)\n", "\n", "res2 = axes[1].pcolormesh(\n", " X, Y, Z_quantinuum, cmap=cmap, vmin=0, vmax=Z_quantinuum.max()\n", ")\n", "cont2 = axes[1].contour(\n", " X, Y, Z_quantinuum, levels=[1000, 2500, 5000, 7500, 10000], zorder=3, colors=\"w\"\n", ")\n", "# plt.colorbar(res2, label='USD');\n", "axes[1].clabel(cont2, cont2.levels, fmt=fmt, fontsize=10)\n", "axes[1].set_xlabel(\"# 2Q gates\", fontsize=12)\n", "# axes[1].set_ylabel(\"# 1Q gates\", fontsize=12)\n", "axes[1].set_title(\"Azure Quantinuum pricing\", fontsize=12)\n", "\n", "fig.tight_layout()\n", "fig.subplots_adjust(right=0.93)\n", "cbar_ax = fig.add_axes([0.95, 0.15, 0.02, 0.7])\n", "cb = fig.colorbar(res2, cax=cbar_ax)\n", "cb.set_label(label=\"USD\", size=10);" ] }, { "cell_type": "markdown", "id": "bc4ed99d-74b1-4820-b70f-d59f908f6075", "metadata": {}, "source": [ "#### Conclusion\n", "\n", "It is immediately obvious from the colormap that IonQ is much more price effective at executing circuits that Quantinuum is, especially as the number of gates in the circuit grows. We can get a quick sense of by how much by looking at the min, median, mean, and max of the ratio of costs:" ] }, { "cell_type": "code", "execution_count": 10, "id": "2e92b37e-21f4-44ee-9b2f-cbb7efa1a37b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(np.float64(6.062801932367149),\n", " np.float64(19.97559198542805),\n", " np.float64(19.474905669149308),\n", " np.float64(24.919263876521228))" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cost_ratio = Z_quantinuum / Z_ionq\n", "\n", "np.min(cost_ratio), np.median(cost_ratio), np.mean(cost_ratio), np.max(cost_ratio)" ] }, { "cell_type": "markdown", "id": "21ed2904-5a30-4bf8-96cc-7dd4666defd9", "metadata": {}, "source": [ "We see that, on average, Quantinuum is ~20x more expensive than IonQ. It is obvious from the plot that this difference grows with the number of gates in the circuit. However, even in the best case, Quantinuum is still 6x more than IonQ. Note however, that our comparison says nothing about the quality of results when executing on the various platforms." ] }, { "cell_type": "markdown", "id": "7235b0e9-f022-4f71-bd11-9aeefb038d68", "metadata": {}, "source": [ "### IBM Quantum\n", "\n", "Since IBM Quantum pricing is based on time, we will need to actually execute circuits to get the most accurate comparison. Unlike before, we now need to specify a particular form of circuit to get the timing. Here we will assume a worst case scenario where all gates are confined to a single-pair of qubits. That is to say, we will purposely construct a circuit such that its depth / duration is as large as possible; the worst thing to do when billing based on time.\n", "\n", "To begin, we divide the search space into smaller chunks :" ] }, { "cell_type": "code", "execution_count": 11, "id": "c0d70d12-b70e-4e22-91d4-d9808400a217", "metadata": {}, "outputs": [], "source": [ "x_steps = np.arange(0, 650 + 21, 20)\n", "y_steps = np.arange(0, 3 * 650 + 61, 60)" ] }, { "cell_type": "code", "execution_count": 12, "id": "07345db1-e4dd-463a-844b-5382ae71be36", "metadata": {}, "outputs": [], "source": [ "X_steps, Y_steps = np.meshgrid(x_steps, y_steps)" ] }, { "cell_type": "markdown", "id": "a505d988-7bfa-4060-bd1c-06039b9ef3c9", "metadata": {}, "source": [ "We then select a target backend to use, and execute a circuit for each point in the grid, making sure to record the `mod_id` so that we can retrieve the results later. In total, this should submit 1156 jobs to the device." ] }, { "cell_type": "code", "execution_count": 3, "id": "7d85f382-2076-460a-ac2e-968c6930ce8c", "metadata": {}, "outputs": [], "source": [ "backend = provider.backend(\"ibm_aachen\")" ] }, { "cell_type": "code", "execution_count": 124, "id": "a1ad21aa-e50c-456f-93f9-37e80fffa918", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "batch = backend.set_mode(\"batch\", overwrite=True)\n", "print(batch)\n", "jobs = []\n", "for ii in range(X_steps.shape[0]):\n", " for jj in range(X_steps.shape[1]):\n", " qc = QuantumCircuit(2)\n", " for _ in range(X_steps[ii][jj]):\n", " qc.cz(0, 1)\n", " qc.barrier()\n", " for _ in range(Y_steps[ii][jj] // 2):\n", " qc.x([0, 1])\n", " qc.barrier()\n", " if Y_steps[ii][jj] % 2:\n", " qc.x([0])\n", " qc.measure_all()\n", " ops = qc.count_ops()\n", " assert ops.get(\"cz\", 0) == X_steps[ii][jj] # just double check\n", " assert ops.get(\"x\", 0) == Y_steps[ii][jj] # just double check\n", " job = backend.run(qc, shots=512)\n", " jobs.append(job)\n", "backend.close_mode()" ] }, { "cell_type": "markdown", "id": "cff11120-909c-4303-a7fa-d25a40e92f06", "metadata": {}, "source": [ "Having run all the jobs on chip, we can retrieve all the jobs by loading the mode (Batch in this case) using the `mode_id` we printed out earlier:" ] }, { "cell_type": "code", "execution_count": 13, "id": "27f4a512-7cba-4233-a406-0488139d8bfb", "metadata": {}, "outputs": [], "source": [ "mode = provider.mode_from_id(\"d0f29p6fbx30008vt4kg\")" ] }, { "cell_type": "markdown", "id": "c2495d1a-b1c8-43c9-b86a-875180275047", "metadata": {}, "source": [ "Because there are three different pricing options available for IBM Quantum, we follow the same procedure we did before and pick the lowest cost option. That is to say we will use the $\\$0.80$ per Runtime second cost for the Premium plan.\n", "\n", "Below we grab the Runtime seconds from each job and make a grid of costs to plot:" ] }, { "cell_type": "code", "execution_count": 14, "id": "2fe71865-f96d-4a86-a671-3320eda3d305", "metadata": {}, "outputs": [], "source": [ "Z_ibm = np.zeros_like(X_steps, dtype=float)\n", "counter = 0\n", "prefactor = 0.8 # cost conversion for Premium plan users\n", "for ii in range(X_steps.shape[0]):\n", " for jj in range(X_steps.shape[1]):\n", " runtime = mode.jobs[counter].metrics()[\"usage\"][\"seconds\"]\n", " Z_ibm[ii][jj] = prefactor * runtime\n", " counter += 1" ] }, { "cell_type": "code", "execution_count": 21, "id": "d5a45afe-6289-4e0c-a0d6-b3260998da17", "metadata": {}, "outputs": [], "source": [ "# Another custom colormap\n", "cmap2 = matplotlib.colors.LinearSegmentedColormap.from_list(\n", " \"\",\n", " [\n", " \"#d9fbfb\",\n", " \"#9ef0f0\",\n", " \"#3ddbd9\",\n", " \"#08bdba\",\n", " \"#009d9a\",\n", " \"#007d79\",\n", " \"#005d5d\",\n", " \"#004144\",\n", " \"#022b30\",\n", " \"#081a1c\",\n", " ],\n", ")" ] }, { "cell_type": "code", "execution_count": 20, "id": "d0134e6a-669b-4c70-a774-1a9536d3aaf8", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 490, "width": 658 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7, 5))\n", "\n", "ax.set_title(\"Azure Quantinuum pricing\", fontsize=14)\n", "\n", "res3 = ax.pcolormesh(X_steps, Y_steps, Z_ibm, cmap=cmap2, vmin=0, vmax=Z_ibm.max())\n", "plt.colorbar(res3, label=\"USD\")\n", "# axes[1,0].clabel(cont3, cont3.levels, fmt=fmt, fontsize=10);\n", "ax.set_xlim([0, 650])\n", "ax.set_ylim([0, 1950])\n", "ax.set_xlabel(\"# 2Q gates\", fontsize=14)\n", "ax.set_ylabel(\"# 1Q gates\", fontsize=14)\n", "ax.set_title(\"IBM Quantum pricing\", fontsize=14)\n", "\n", "fig.tight_layout();" ] }, { "cell_type": "markdown", "id": "fae384a0-4254-438d-96c5-eff09ee6a3cd", "metadata": {}, "source": [ "#### Conclusion\n", "\n", "We see that the price per job for IBM is nearly a constant of $\\$1.60$, save for several points where the cost fluctuates. These fluctuations can be attributed to additional times somewhere in the pipeline, but are not due to on-chip execution time. Regardless, we see that IBM pricing vastly cheaper than either IonQ or Quantinuum. In particular, looking at the ratio of the means we get:" ] }, { "cell_type": "code", "execution_count": 24, "id": "c2954fde-0138-4b22-ba10-3a67492d8714", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(164.04156327543427)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(Z_ionq) / np.mean(Z_ibm)" ] }, { "cell_type": "code", "execution_count": 26, "id": "73aa8134-b164-4305-937f-1784d9729116", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(3276.827336641853)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(Z_quantinuum) / np.mean(Z_ibm)" ] }, { "cell_type": "markdown", "id": "ab7e8a6d-34a1-41b8-a20f-2b42c6c247a4", "metadata": {}, "source": [ "indicating that **IonQ and Quantinuum are over two- and three-orders of magnitude more costly than IBM, respectively**. As a reminder we even made the IBM circuits artificially long to increase the duration." ] }, { "cell_type": "markdown", "id": "ea0bca03-d718-43e2-ad65-ac0b271d052b", "metadata": {}, "source": [ "### Comparison of costs for full grid execution\n", "\n", "Having run 1156 circuits to compute the runtime of circuits for IBM hardware, we can compute the total cost for this full-grid of jobs:" ] }, { "cell_type": "code", "execution_count": 30, "id": "e8ca446a-4a56-4bdc-af5a-582c5df61a83", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(1934.3999999999996)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "total_ibm = np.sum(Z_ibm)\n", "total_ibm" ] }, { "cell_type": "markdown", "id": "5a94e845-fdf2-4959-9a02-a6e0e9de7251", "metadata": {}, "source": [ "So we were able to run the full suite of circuits for a bit under $\\$2000$. What would the equivalent costs be if we performed the same experiments on IonQ or Quantinuum? Since it is just gate counting, this is easy to do and plot:" ] }, { "cell_type": "code", "execution_count": 31, "id": "19b6e249-4e66-4c5f-b46c-74f3b9735257", "metadata": {}, "outputs": [], "source": [ "total_ionq = 0\n", "for ii in range(X_steps.shape[0]):\n", " for jj in range(X_steps.shape[1]):\n", " total_ionq += (\n", " 12.42\n", " + 0.000975 * (X_steps[ii][jj] * 512)\n", " + 0.00020 * (Y_steps[ii][jj] * 512)\n", " )" ] }, { "cell_type": "code", "execution_count": 32, "id": "e241ff86-3fbb-4987-b50d-bf7f0889cdc1", "metadata": {}, "outputs": [], "source": [ "total_quantinuum = 0\n", "for ii in range(X_steps.shape[0]):\n", " for jj in range(X_steps.shape[1]):\n", " total_quantinuum += 12.50 * (\n", " 5 + (10 * X_steps[ii][jj] + Y_steps[ii][jj] + 10) * 512 / 5000\n", " )" ] }, { "cell_type": "code", "execution_count": 34, "id": "c427d328-a917-4059-9391-a7eab1eeec9d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 518, "width": 708 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "ax.set_facecolor(\"#e3e3e3\")\n", "ax.grid(color=\"w\")\n", "ax.bar(\n", " [0, 1, 2],\n", " [total_ibm, total_ionq, total_quantinuum],\n", " log=True,\n", " color=[\"#33b1ff\", \"#00539a\", \"#1c0f30\"],\n", " zorder=2,\n", ")\n", "ax.set_ylabel(\"Cost (USD)\", fontsize=14)\n", "plt.yticks(fontsize=14)\n", "ax.set_ylim([1e3, 1e7])\n", "ax.set_xticks([0, 1, 2], [\"IBM\", \"IonQ\", \"Quantinuum\"], fontsize=14)\n", "ax.text(0, total_ibm, round(total_ibm, 1), fontsize=12, ha=\"center\", va=\"bottom\")\n", "ax.text(1, total_ionq, round(total_ionq, 1), fontsize=12, ha=\"center\", va=\"bottom\")\n", "ax.text(\n", " 2,\n", " total_quantinuum,\n", " round(total_quantinuum, 1),\n", " fontsize=12,\n", " ha=\"center\",\n", " va=\"bottom\",\n", ");" ] }, { "cell_type": "markdown", "id": "147e1b1e-f515-4742-a4b1-e8730e22ebd0", "metadata": {}, "source": [ "It should be abundantly clear now as to the relative cost differences between platforms. In fact the differences are so large we had to use a log-scale y-axis for visibility." ] }, { "cell_type": "markdown", "id": "436b8c8a-de3f-4cbf-94ad-d077a6b21d87", "metadata": {}, "source": [ "### Comparison of costs for full grid execution on AWS Braket\n", "\n", "We saw earlier that IonQ systems are also available via AWS, and the pricing is per job and per shot, irrespective of the total number of gates in the circuit. It turns out that this pricing is cheaper for users in most cases. As such, it is prudent to look at pricing under AWS as well for our full grid of experiments. We can also add a few more hardware vendors into the mix:\n", "\n", "| Device | Cost per job (USD) | Cost per shot (USD) |\n", "| :----------------- | :--------------------------------: | ----------------------------: |\n", "| IonQ Aria | 0.30 | 0.03 |\n", "| IonQ Forte | 0.30 | 0.08 |\n", "| IQM | 0.30 | 0.00145 |\n", "| Rigetti | 0.30 | 0.00090 |\n", "\n", "Because the prices are fixed, we just need to price out our 1156 jobs and compare." ] }, { "cell_type": "code", "execution_count": 51, "id": "5b0e4e3e-2085-4a2f-beac-45d97de06972", "metadata": {}, "outputs": [], "source": [ "ionq_aws = 1156 * (0.30 + 512 * 0.03)\n", "iqm_aws = 1156 * (0.30 + 512 * 0.00145)\n", "rigetti_aws = 1156 * (0.30 + 512 * 0.00090)" ] }, { "cell_type": "code", "execution_count": 61, "id": "e6f36c07-aa37-46c1-87f1-7f6191d7777a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 510, "width": 708 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "ax.set_facecolor(\"#e3e3e3\")\n", "ax.grid(color=\"w\")\n", "ax.bar(\n", " [0, 1, 2, 3],\n", " [total_ibm, ionq_aws, iqm_aws, rigetti_aws],\n", " log=True,\n", " color=[\"#6929c4\", \"#1c0f30\", \"#a56eff\", \"#d4bbff\"],\n", " zorder=2,\n", ")\n", "ax.set_ylabel(\"Cost (USD)\", fontsize=14)\n", "plt.yticks(fontsize=14)\n", "ax.set_xticks([0, 1, 2, 3], [\"IBM\", \"IonQ\", \"IQM\", \"Rigetti\"], fontsize=14)\n", "ax.text(0, total_ibm, round(total_ibm, 1), fontsize=12, ha=\"center\", va=\"bottom\")\n", "ax.text(1, ionq_aws, round(ionq_aws, 1), fontsize=12, ha=\"center\", va=\"bottom\")\n", "ax.text(2, iqm_aws, round(iqm_aws, 1), fontsize=12, ha=\"center\", va=\"bottom\")\n", "ax.text(3, rigetti_aws, round(rigetti_aws, 1), fontsize=12, ha=\"center\", va=\"bottom\");" ] }, { "cell_type": "markdown", "id": "5233a092-b45f-4364-b1d7-71d2901e2765", "metadata": {}, "source": [ "So we see that the pricing comparison is much different on AWS than Azure Quantum. IonQ is nearly 20x cheaper on AWS compared to Azure, for the exact same workloads. However, the cost of trapped-ions is still much higher than that of superconducting systems such as those from IBM, IQM, and Rigetti. Once again, our analysis says nothing about the relative quality of circuit execution on each hardware vendor, and obviously cost is not the whole story. However, the differences are so large that one should most certainly take pricing into consideration when thinking about which system(s) to use. " ] } ], "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": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }