diff --git a/.gitignore b/.gitignore index eb3e4770..9c86a817 100644 --- a/.gitignore +++ b/.gitignore @@ -28,3 +28,5 @@ __pycache__/ /build /venv /dist + +.env diff --git a/README.md b/README.md index 87e5b26e..62b28612 100644 --- a/README.md +++ b/README.md @@ -24,6 +24,7 @@ Running notebooks locally requires additional dependencies located in [notebooks | QPE | [Quantum_Phase_Estimation_Algorithm.ipynb](notebooks/textbook/Quantum_Phase_Estimation_Algorithm.ipynb) | [Kitaev1995](https://arxiv.org/abs/quant-ph/9511026) | | Quantum Counting | [Quantum_Counting_Algorithm.ipynb](notebooks/textbook/Quantum_Counting_Algorithm.ipynb) | [Brassard1998](https://arxiv.org/abs/quant-ph/9805082) | | Quantum Walk | [Quantum_Walk.ipynb](notebooks/textbook/Quantum_Walk.ipynb) | [Childs2002](https://arxiv.org/abs/quant-ph/0209131) | +|Rabi Oscillations| [Rabi_Oscillations.ipynb](notebooks/textbook/Rabi_Oscillations.ipynb) | [Rabi1937](https://journals.aps.org/pr/abstract/10.1103/PhysRev.51.652) | |Shor's| [Shors_Algorithm.ipynb](notebooks/textbook/Shors_Algorithm.ipynb) | [Shor1998](https://arxiv.org/abs/quant-ph/9508027) | | Simon's | [Simons_Algorithm.ipynb](notebooks/textbook/Simons_Algorithm.ipynb) | [Simon1997](https://epubs.siam.org/doi/10.1137/S0097539796298637) | diff --git a/notebooks/textbook/Rabi_Oscillations.ipynb b/notebooks/textbook/Rabi_Oscillations.ipynb new file mode 100644 index 00000000..0ac02659 --- /dev/null +++ b/notebooks/textbook/Rabi_Oscillations.ipynb @@ -0,0 +1,848 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Rabi Oscillations\n", + "\n", + "## Overview\n", + "\n", + "In this notebook we demonstrate Rabi oscillations using the circuit model of quantum computing.\n", + "\n", + "We will:\n", + "\n", + "1. Review the theoretical expression for the excited-state probability.\n", + "2. Implement a single-qubit rotation $R_x(\\theta)$.\n", + "3. Compare analytic, exact simulator, and finite-shot results.\n", + "4. Explore T1 relaxation and T2 dephasing with noisy circuits.\n", + "5. Simulate off-resonant Rabi oscillations using detuning.\n", + "\n", + "The goal is to connect the physical concept of driven two-level dynamics with its circuit-level implementation." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Physical Background\n", + "\n", + "Rabi oscillations describe the coherent oscillation of population between the ground and excited states of a two-level quantum system under a resonant drive. In the rotating frame, the evolution of a driven two-level system can be represented as a rotation generated by a single-qubit rotation gate.\n", + "\n", + "If the qubit starts in the ground state and is driven resonantly, the probability of measuring the excited state oscillates as\n", + "\n", + "$P(|1\\rangle) = \\sin^2(\\theta / 2)$\n", + "\n", + "where $\\theta$ is the rotation angle induced by the drive. For a constant drive strength $\\Omega$, the rotation angle is proportional to time, $\\theta = \\Omega t$. Sweeping $\\theta$ therefore simulates the time evolution of a driven two-level system and produces Rabi oscillations." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Setup" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from braket.devices import LocalSimulator\n", + "from braket.circuits import Circuit, ResultType\n", + "\n", + "from braket.experimental.algorithms.rabi_oscillations import (\n", + " excited_state_probability,\n", + " rabi_circuit,\n", + " rabi_probability,\n", + " rabi_simulated_dynamics,\n", + ")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Constructing the Circuit\n", + "\n", + "We simulate Rabi oscillations using single-qubit rotations. A rotation around the x-axis corresponds to a resonant drive applied to the qubit.\n", + "\n", + "For a given rotation angle θ, we apply an Rx(θ) gate to the qubit and then measure it. Measuring the qubit after the rotation allows us to estimate the probability of finding the qubit in the excited state, which corresponds to the excited-state population in the Rabi oscillation model.\n", + "\n", + "By sweeping the rotation angle θ over a range of values, we can simulate the oscillatory behavior of the excited-state population." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "T : │ 0 │\n", + " ┌──────────┐ \n", + "q0 : ─┤ Rx(1.05) ├─\n", + " └──────────┘ \n", + "T : │ 0 │\n" + ] + } + ], + "source": [ + "theta_example = np.pi / 3\n", + "circ = rabi_circuit(theta_example)\n", + "print(circ.diagram())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Sweeping the Rotation Angle\n", + "\n", + "We vary $\\theta$ from $0$ to $2\\pi$ and compute the expected analytic probability." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# Sweep angles from 0 to 2π\n", + "thetas = np.linspace(0, 2 * np.pi, 101)\n", + "\n", + "# Analytic prediction\n", + "p1_analytic = np.array([rabi_probability(theta) for theta in thetas])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ideal Simulation (Exact Probability)\n", + "\n", + "Using the simulator in analytic mode (`shots=0`), we compute the exact excited-state probability." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "device = LocalSimulator()\n", + "\n", + "def p1_from_result_type(theta: float) -> float:\n", + " circ = rabi_circuit(theta)\n", + " circ.add_result_type(ResultType.Probability(target=[0]))\n", + " task = device.run(circ, shots=0) # analytic mode\n", + " result = task.result()\n", + " probs = result.result_types[0].value # [P(|0>), P(|1>)]\n", + " return float(probs[1])\n", + "\n", + "p1_sim_exact = np.array([p1_from_result_type(theta) for theta in thetas])" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "plt.plot(thetas, p1_analytic, label=\"Analytic\")\n", + "plt.plot(thetas, p1_sim_exact, linestyle=\"--\", label=\"Simulator (exact)\")\n", + "plt.xlabel(r\"$\\theta$\")\n", + "plt.ylabel(r\"$P(|1\\rangle)$\")\n", + "plt.title(\"Ideal Rabi Oscillations\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "The simulator result matches the analytic curve exactly. This confirms that the circuit correctly implements the rotation $R_x(\\theta)$ and reproduces ideal Rabi oscillations." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Sampled Simulation (Finite Shots)\n", + "\n", + "In practice, measurements are sampled. We now estimate the probability using a finite number of shots." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def p1_from_sampling(theta: float, shots: int = 1000) -> float:\n", + " circ = rabi_circuit(theta)\n", + " task = device.run(circ, shots=shots)\n", + " result = task.result()\n", + " counts = result.measurement_counts # dict like {\"0\": n0, \"1\": n1}\n", + " n1 = counts.get(\"1\", 0)\n", + " return n1 / shots\n", + "\n", + "shots = 1000\n", + "p1_sim_sampled = np.array([p1_from_sampling(theta, shots=shots) for theta in thetas])" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "\n", + "plt.plot(thetas, p1_analytic, label=\"Analytic\")\n", + "plt.scatter(thetas, p1_sim_sampled, label=f\"Simulator (shots={shots})\", s=20)\n", + "\n", + "plt.xlabel(r\"$\\theta$\")\n", + "plt.ylabel(r\"$P(|1\\rangle)$\")\n", + "plt.title(\"Rabi Oscillations: Exact vs Finite Sampling\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "With a finite number of shots, the estimated probabilities fluctuate around the ideal curve due to sampling noise. Increasing the number of shots would reduce these fluctuations and produce estimates closer to the underlying probability curve." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## T1 Relaxation: Single Damping Channel\n", + "\n", + "We first model a two-level system undergoing Rabi oscillations under T1 relaxation. After applying the rotation $R_x(\\theta)$, we apply a single amplitude damping channel.\n", + "\n", + "This model does not represent a full time-resolved T1 experiment. Instead, it demonstrates how an amplitude damping channel changes the measured excited-state population in a Rabi-oscillation circuit." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "device_dm = LocalSimulator(\"braket_dm\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "gamma_values_t1_simple = [0.02, 0.1, 0.5]\n", + "\n", + "p1_t1_simple = {\n", + " gamma: np.array(\n", + " [\n", + " excited_state_probability(\n", + " rabi_simulated_dynamics(theta, gamma_t1=gamma),\n", + " device_dm,\n", + " )\n", + " for theta in thetas\n", + " ]\n", + " )\n", + " for gamma in gamma_values_t1_simple\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "\n", + "plt.plot(thetas, p1_analytic, label=\"Analytic\")\n", + "for gamma in gamma_values_t1_simple:\n", + " plt.plot(thetas, p1_t1_simple[gamma], label=fr\"T1 noise ($\\gamma={gamma}$)\")\n", + "\n", + "plt.xlabel(r\"$\\theta$\")\n", + "plt.ylabel(r\"$P(|1\\rangle)$\")\n", + "plt.title(\"Rabi Oscillations with T1 Relaxation (Single Damping Channel)\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "In this simple model, T1 relaxation reduces the amplitude of the Rabi oscillation. For small $\\gamma$, the effect is weak, while for large $\\gamma$ the excited-state population is strongly suppressed.\n", + "\n", + "This is a useful first approximation, but it does not yet describe relaxation acting continuously during the driven evolution." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## T1 Relaxation: Stepwise Model\n", + "\n", + "We now use a more realistic model in which the drive and the relaxation act repeatedly throughout the evolution.\n", + "\n", + "To approximate continuous-time dynamics, we divide the total rotation into many small steps. After each small rotation, we apply a small amplitude damping channel. This allows the coherent drive and the T1 process to compete during the evolution." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "thetas_multi_period = np.linspace(0, 8 * np.pi, 300)\n", + "gamma_values_t1_stepwise = [0.02, 0.1, 0.5]\n", + "p1_analytic = np.array([rabi_probability(theta) for theta in thetas_multi_period])\n", + "\n", + "p1_t1_stepwise = {\n", + " gamma: np.array(\n", + " [\n", + " excited_state_probability(\n", + " rabi_simulated_dynamics(theta, gamma_t1=gamma, dtheta=0.1),\n", + " device_dm,\n", + " )\n", + " for theta in thetas_multi_period\n", + " ]\n", + " )\n", + " for gamma in gamma_values_t1_stepwise\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Comparing Single-Channel and Stepwise T1 Models\n", + "\n", + "The single-channel model applies one amplitude damping channel after the full $R_x(\\theta)$ rotation. This shows how the amplitude damping channel changes the excited-state population, but the damping strength is fixed and does not scale with the rotation angle.\n", + "\n", + "The stepwise model treats the rotation angle as proportional to elapsed time. The total rotation is divided into small steps, and after each small rotation we apply amplitude damping with strength proportional to the step size. In this model, relaxation accumulates as the total rotation angle increases.\n", + "\n", + "This comparison separates two ideas: a single circuit-level damping operation versus a stepwise approximation to T1 relaxation during driven evolution." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "p1_t1_simple_multi_period = {\n", + " gamma: np.array(\n", + " [\n", + " excited_state_probability(\n", + " rabi_simulated_dynamics(theta, gamma_t1=gamma),\n", + " device_dm,\n", + " )\n", + " for theta in thetas_multi_period\n", + " ]\n", + " )\n", + " for gamma in gamma_values_t1_stepwise\n", + "}\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "gamma_compare = 0.1\n", + "\n", + "plt.figure()\n", + "\n", + "plt.plot(thetas_multi_period, p1_analytic, label=\"Analytic\")\n", + "plt.plot(\n", + " thetas_multi_period,\n", + " p1_t1_simple_multi_period[gamma_compare],\n", + " linestyle=\"--\",\n", + " label=fr\"T1 single channel ($\\gamma={gamma_compare}$)\",\n", + ")\n", + "plt.plot(\n", + " thetas_multi_period,\n", + " p1_t1_stepwise[gamma_compare],\n", + " label=fr\"T1 stepwise ($\\gamma={gamma_compare}$)\",\n", + ")\n", + "\n", + "plt.xlabel(r\"$\\theta$\")\n", + "plt.ylabel(r\"$P(|1\\rangle)$\")\n", + "plt.title(\"T1 Relaxation: Single Channel vs Stepwise\")\n", + "\n", + "plt.legend(loc=\"upper left\", bbox_to_anchor=(1, 1), frameon=True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Stepwise T1 Relaxation for Different Noise Strengths\n", + "\n", + "After comparing the two modeling approaches, we now keep the stepwise model and vary the T1 relaxation strength.\n", + "\n", + "As the damping strength increases, relaxation suppresses the oscillations more strongly and reduces the excited-state population over time." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "\n", + "plt.plot(thetas_multi_period, p1_analytic, label=\"Analytic\")\n", + "for gamma in gamma_values_t1_stepwise:\n", + " plt.plot(thetas_multi_period, p1_t1_stepwise[gamma], label=fr\"T1 noise ($\\gamma={gamma}$)\")\n", + "\n", + "plt.xlabel(r\"$\\theta$\")\n", + "plt.ylabel(r\"$P(|1\\rangle)$\")\n", + "plt.title(\"Rabi Oscillations with T1 Relaxation (Stepwise Model)\")\n", + "plt.legend(loc=\"center left\", bbox_to_anchor=(1.02, 0.5))\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "In the stepwise model, T1 relaxation acts continuously during the driven evolution rather than only once at the end.\n", + "\n", + "As a result, the oscillation is not only suppressed but also distorted by the repeated competition between excitation and relaxation. This provides a more realistic picture of driven open-system dynamics." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## T2 Dephasing: Stepwise Model\n", + "\n", + "T2 dephasing describes loss of phase coherence without direct energy relaxation. In the circuit model, this effect is represented using a phase damping channel.\n", + "\n", + "As in the stepwise T1 model, we divide the driven evolution into small steps. In each step, we apply a small rotation followed by phase damping with strength proportional to the step size. This lets dephasing accumulate during the driven evolution.\n", + "\n", + "Unlike T1 relaxation, T2 dephasing does not directly drive the qubit toward the ground state. Instead, it reduces the coherence responsible for the oscillation, so the Rabi oscillations gradually lose contrast as the dephasing strength increases." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "gamma_values_t2 = [0.05, 0.1, 0.2]\n", + "\n", + "p1_t2_stepwise = {\n", + " gamma: np.array(\n", + " [\n", + " excited_state_probability(\n", + " rabi_simulated_dynamics(theta, gamma_t2=gamma, dtheta=0.1),\n", + " device_dm,\n", + " )\n", + " for theta in thetas_multi_period\n", + " ]\n", + " )\n", + " for gamma in gamma_values_t2\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "\n", + "plt.plot(thetas_multi_period, p1_analytic, label=\"Analytic\")\n", + "for gamma in gamma_values_t2:\n", + " plt.plot(thetas_multi_period, p1_t2_stepwise[gamma], label=fr\"T2 noise ($\\gamma={gamma}$)\")\n", + "\n", + "plt.xlabel(r\"$\\theta$\")\n", + "plt.ylabel(r\"$P(|1\\rangle)$\")\n", + "plt.title(\"Rabi Oscillations with T2 Dephasing (Stepwise Model)\")\n", + "plt.legend(loc=\"center left\", bbox_to_anchor=(1.02, 0.5))\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "In the stepwise T2 model, the oscillations gradually lose contrast because phase coherence is lost during the driven evolution.\n", + "\n", + "For weak dephasing, the oscillations remain close to the ideal curve. As the dephasing strength increases, the oscillations are progressively washed out, while the behavior remains distinct from T1 relaxation because T2 primarily destroys coherence rather than removing population from the excited state." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Combined T1 and T2 Noise\n", + "\n", + "So far we have considered T1 relaxation and T2 dephasing separately. In realistic quantum devices, both processes occur simultaneously.\n", + "\n", + "We again use the stepwise approach. For each small step of the driven evolution, we apply a small rotation representing the drive, followed by amplitude damping for T1 relaxation and phase damping for T2 dephasing. This allows both energy relaxation and dephasing to act continuously during the Rabi oscillation.\n", + "\n", + "When both T1 and T2 are present, the oscillations typically decay faster than with either process alone. T1 relaxation reduces the excited-state population, while T2 dephasing reduces the coherence responsible for the oscillations." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "gamma_t1 = 0.1\n", + "gamma_t2_values = [0.05, 0.1, 0.2]\n", + "\n", + "p1_t1_t2_stepwise = {\n", + " gamma_t2: np.array(\n", + " [\n", + " excited_state_probability(\n", + " rabi_simulated_dynamics(\n", + " theta,\n", + " gamma_t1=gamma_t1,\n", + " gamma_t2=gamma_t2,\n", + " dtheta=0.1,\n", + " ),\n", + " device_dm,\n", + " )\n", + " for theta in thetas_multi_period\n", + " ]\n", + " )\n", + " for gamma_t2 in gamma_t2_values\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "\n", + "plt.plot(thetas_multi_period, p1_analytic, label=\"Analytic\")\n", + "for gamma_t2 in gamma_t2_values:\n", + " plt.plot(\n", + " thetas_multi_period,\n", + " p1_t1_t2_stepwise[gamma_t2],\n", + " label=fr\"T1+T2 ($\\gamma_1={gamma_t1}, \\gamma_2={gamma_t2}$)\",\n", + " )\n", + "\n", + "plt.xlabel(r\"$\\theta$\")\n", + "plt.ylabel(r\"$P(|1\\rangle)$\")\n", + "plt.title(\"Rabi Oscillations with Combined T1 and T2 Noise (Stepwise Model)\")\n", + "plt.legend(loc=\"center left\", bbox_to_anchor=(1.02, 0.5))\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "With both T1 and T2 noise present, the Rabi oscillations decay more rapidly than in the individual noise cases. T1 relaxation reduces the excited-state population, while T2 dephasing reduces the coherence that drives the oscillations.\n", + "\n", + "Together, these effects produce faster damping and a more realistic noisy Rabi signal." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Off-Resonant Rabi Oscillations\n", + "\n", + "So far we assumed the drive is resonant with the qubit transition. If the drive frequency is detuned, the qubit experiences both a coherent drive and phase accumulation.\n", + "\n", + "In the circuit model, this corresponds to combining x-rotations from the drive with z-rotations from detuning. The combined evolution no longer acts like a pure x-rotation.\n", + "\n", + "As a result, the oscillations no longer reach full population transfer. Increasing detuning reduces the maximum excitation probability and modifies the oscillation frequency.\n", + "\n", + "The circuit model separates the driven dynamics into two effects:\n", + "\n", + "| Physical effect | Parameter | Circuit operation |\n", + "|---|---:|---|\n", + "| Resonant drive | $\\Omega$ | $R_x$ rotation |\n", + "| Detuning from resonance | $\\Delta = \\omega_d - \\omega_0$ | $R_z$ rotation |\n", + "| Off-resonant drive | $\\Omega$ and $\\Delta$ | combined $R_x$ and $R_z$ rotations |\n", + "\n", + "Here, $\\omega_0$ is the qubit transition frequency, $\\omega_d$ is the drive frequency, $\\Omega$ is the resonant drive strength, and $\\Delta$ is the detuning." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "delta_values = [0.0, 0.5, 1.0]\n", + "\n", + "p1_off_resonant = {\n", + " delta: np.array(\n", + " [\n", + " excited_state_probability(\n", + " rabi_simulated_dynamics(theta, delta=delta, dtheta=0.1),\n", + " device,\n", + " )\n", + " for theta in thetas_multi_period\n", + " ]\n", + " )\n", + " for delta in delta_values\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 5))\n", + "for delta in delta_values:\n", + " plt.plot(thetas_multi_period, p1_off_resonant[delta], label=f\"Δ={delta}\")\n", + "\n", + "plt.xlabel(r\"$\\theta$\")\n", + "plt.ylabel(r\"$P(|1\\rangle)$\")\n", + "plt.title(\"Off-Resonant Rabi Oscillations\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "For zero detuning, the oscillations reach full population transfer. As the detuning increases, the oscillations no longer reach probability 1 and the dynamics change.\n", + "\n", + "This reflects rotation around a tilted axis: detuning introduces phase accumulation, which reduces the efficiency of population transfer." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Off-Resonant Rabi Oscillations with T1 and T2 Noise\n", + "\n", + "Finally, we combine detuning with relaxation and dephasing. In this model, the qubit evolves with an off-resonant drive while also undergoing amplitude damping (T1) and phase damping (T2).\n", + "\n", + "This combines the coherent effect of detuning with the incoherent noise processes introduced above." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "delta = 0.5\n", + "gamma_t1 = 0.1\n", + "gamma_t2 = 0.1\n", + "\n", + "p1_off_resonant_t1_t2 = np.array(\n", + " [\n", + " excited_state_probability(\n", + " rabi_simulated_dynamics(\n", + " theta,\n", + " delta=delta,\n", + " gamma_t1=gamma_t1,\n", + " gamma_t2=gamma_t2,\n", + " dtheta=0.1,\n", + " ),\n", + " device_dm,\n", + " )\n", + " for theta in thetas_multi_period\n", + " ]\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 5))\n", + "plt.plot(thetas_multi_period, p1_off_resonant[0.0], label=\"Resonant (ideal)\", linestyle=\"--\")\n", + "plt.plot(thetas_multi_period, p1_off_resonant[delta], label=f\"Off-resonant (Δ={delta})\")\n", + "plt.plot(thetas_multi_period, p1_off_resonant_t1_t2, label=\"Off-resonant + T1 + T2\")\n", + "\n", + "plt.xlabel(r\"$\\theta$\")\n", + "plt.ylabel(r\"$P(|1\\rangle)$\")\n", + "plt.title(\"Off-Resonant Rabi Oscillations with Noise\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "The addition of T1 and T2 noise leads to a decay of the oscillations over time. Compared to the purely off-resonant case, the amplitude decreases further and the oscillations gradually disappear due to relaxation and dephasing.\n", + "\n", + "This combined model illustrates how coherent effects such as detuning and incoherent noise processes together determine the observed qubit dynamics." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "braket-algos", + "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": "3.11.14" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/src/braket/experimental/algorithms/rabi_oscillations/__init__.py b/src/braket/experimental/algorithms/rabi_oscillations/__init__.py new file mode 100644 index 00000000..6a5c815b --- /dev/null +++ b/src/braket/experimental/algorithms/rabi_oscillations/__init__.py @@ -0,0 +1,13 @@ +from .rabi_oscillations import ( + excited_state_probability, + rabi_circuit, + rabi_probability, + rabi_simulated_dynamics, +) + +__all__ = [ + "excited_state_probability", + "rabi_circuit", + "rabi_probability", + "rabi_simulated_dynamics", +] diff --git a/src/braket/experimental/algorithms/rabi_oscillations/rabi_oscillations.md b/src/braket/experimental/algorithms/rabi_oscillations/rabi_oscillations.md new file mode 100644 index 00000000..7c4a24c4 --- /dev/null +++ b/src/braket/experimental/algorithms/rabi_oscillations/rabi_oscillations.md @@ -0,0 +1,5 @@ +# Rabi Oscillations + +Rabi oscillations describe coherent population transfer in a driven two-level system. +In the circuit model, sweeping the rotation angle in an `Rx(θ)` gate produces an +excited-state probability of `sin²(θ/2)`. diff --git a/src/braket/experimental/algorithms/rabi_oscillations/rabi_oscillations.py b/src/braket/experimental/algorithms/rabi_oscillations/rabi_oscillations.py new file mode 100644 index 00000000..c382d12b --- /dev/null +++ b/src/braket/experimental/algorithms/rabi_oscillations/rabi_oscillations.py @@ -0,0 +1,98 @@ +import math +from math import sin + +from braket.circuits import Circuit, ResultType +from braket.devices import LocalSimulator + + +def rabi_probability(theta: float) -> float: + """Return excited-state probability for a single-qubit Rx rotation. + + Args: + theta (float): Rotation angle. + + Returns: + float: Probability of measuring |1>. + """ + return sin(theta / 2) ** 2 + + +def rabi_circuit(theta: float) -> Circuit: + """Generate a single-qubit Rabi oscillation circuit. + + Args: + theta (float): Rotation angle. + + Returns: + Circuit: Circuit implementing Rx(theta) on qubit 0. + """ + return Circuit().rx(0, theta) + + +def rabi_simulated_dynamics( + theta: float, + *, + gamma_t1: float = 0.0, + gamma_t2: float = 0.0, + delta: float = 0.0, + dtheta: float | None = None, +) -> Circuit: + """Generate a single-qubit circuit for noisy or detuned Rabi dynamics. + + Args: + theta (float): Total resonant drive rotation angle. + gamma_t1 (float): Amplitude damping strength per unit rotation angle. + gamma_t2 (float): Phase damping strength per unit rotation angle. + delta (float): Detuning strength relative to the resonant drive. + dtheta (float | None): Step size for stepwise evolution. If None, + noise and detuning are applied once after the full rotation. + + Returns: + Circuit: Circuit implementing the requested Rabi dynamics. + """ + circ = Circuit() + + if dtheta is None: + circ.rx(0, theta) + + if delta != 0.0: + circ.rz(0, delta * theta) + if gamma_t1 != 0.0: + circ.amplitude_damping(0, gamma_t1) + if gamma_t2 != 0.0: + circ.phase_damping(0, gamma_t2) + + else: + n_steps = max(1, math.ceil(theta / dtheta)) + dtheta_eff = theta / n_steps + dphi = delta * dtheta_eff + gamma_t1_step = gamma_t1 * dtheta_eff + gamma_t2_step = gamma_t2 * dtheta_eff + + for _ in range(n_steps): + circ.rx(0, dtheta_eff) + + if delta != 0.0: + circ.rz(0, dphi) + if gamma_t1 != 0.0: + circ.amplitude_damping(0, gamma_t1_step) + if gamma_t2 != 0.0: + circ.phase_damping(0, gamma_t2_step) + + circ.add_result_type(ResultType.Probability(target=[0])) + return circ + + +def excited_state_probability(circ: Circuit, device: LocalSimulator) -> float: + """Run a probability-result circuit and return the excited-state probability. + + Args: + circ (Circuit): Circuit with a probability result type. + device (LocalSimulator): Simulator used to run the circuit. + + Returns: + float: Probability of measuring |1>. + """ + task = device.run(circ, shots=0) + probs = task.result().result_types[0].value + return float(probs[1]) diff --git a/test/unit_tests/braket/experimental/algorithms/rabi_oscillations/test_rabi_oscillations.py b/test/unit_tests/braket/experimental/algorithms/rabi_oscillations/test_rabi_oscillations.py new file mode 100644 index 00000000..c7b3c429 --- /dev/null +++ b/test/unit_tests/braket/experimental/algorithms/rabi_oscillations/test_rabi_oscillations.py @@ -0,0 +1,113 @@ +import math + +from braket.devices import LocalSimulator +from braket.experimental.algorithms.rabi_oscillations import ( + excited_state_probability, + rabi_circuit, + rabi_probability, + rabi_simulated_dynamics, +) + + +def test_rabi_probability_edge_cases(): + assert rabi_probability(0.0) == 0.0 + assert math.isclose(rabi_probability(math.pi), 1.0, rel_tol=0.0, abs_tol=1e-12) + assert math.isclose(rabi_probability(2 * math.pi), 0.0, rel_tol=0.0, abs_tol=1e-12) + + +def test_rabi_circuit_has_single_rx_instruction(): + circ = rabi_circuit(0.123) + assert circ.qubit_count == 1 + assert len(circ.instructions) == 1 + + instr = circ.instructions[0] + assert instr.operator.name == "Rx" + assert list(instr.target) == [0] + + +def test_rabi_simulated_dynamics_defaults_to_single_rx_with_probability_result(): + circ = rabi_simulated_dynamics(0.123) + + assert circ.qubit_count == 1 + assert len(circ.instructions) == 1 + assert circ.instructions[0].operator.name == "Rx" + assert len(circ.result_types) == 1 + + +def test_rabi_simulated_dynamics_adds_single_channel_noise(): + circ = rabi_simulated_dynamics(0.123, gamma_t1=0.1, gamma_t2=0.2, delta=0.3) + + operator_names = [instruction.operator.name for instruction in circ.instructions] + + assert operator_names == ["Rx", "Rz", "AmplitudeDamping", "PhaseDamping"] + assert len(circ.result_types) == 1 + + +def test_rabi_simulated_dynamics_adds_stepwise_noise_and_detuning(): + circ = rabi_simulated_dynamics( + math.pi, + gamma_t1=0.1, + gamma_t2=0.2, + delta=0.3, + dtheta=0.5, + ) + + n_steps = math.ceil(math.pi / 0.5) + operator_names = [instruction.operator.name for instruction in circ.instructions] + + assert len(circ.instructions) == 4 * n_steps + assert operator_names[:4] == ["Rx", "Rz", "AmplitudeDamping", "PhaseDamping"] + assert len(circ.result_types) == 1 + + +def test_excited_state_probability_returns_probability_of_one(): + device = LocalSimulator() + circ = rabi_simulated_dynamics(math.pi) + + assert math.isclose( + excited_state_probability(circ, device), + 1.0, + rel_tol=0.0, + abs_tol=1e-12, + ) + +def test_rabi_simulated_dynamics_stepwise_only_detuning(): + circ = rabi_simulated_dynamics( + math.pi, + delta=0.3, + dtheta=0.5, + ) + + operator_names = [instruction.operator.name for instruction in circ.instructions] + + assert "Rz" in operator_names + assert "AmplitudeDamping" not in operator_names + assert "PhaseDamping" not in operator_names + + +def test_rabi_simulated_dynamics_stepwise_only_t1(): + circ = rabi_simulated_dynamics( + math.pi, + gamma_t1=0.1, + dtheta=0.5, + ) + + operator_names = [instruction.operator.name for instruction in circ.instructions] + + assert "AmplitudeDamping" in operator_names + assert "Rz" not in operator_names + assert "PhaseDamping" not in operator_names + + +def test_rabi_simulated_dynamics_stepwise_only_t2(): + circ = rabi_simulated_dynamics( + math.pi, + gamma_t2=0.1, + dtheta=0.5, + ) + + operator_names = [instruction.operator.name for instruction in circ.instructions] + + assert "PhaseDamping" in operator_names + assert "Rz" not in operator_names + assert "AmplitudeDamping" not in operator_names