{ "cells": [ { "cell_type": "markdown", "id": "86c26a84", "metadata": {}, "source": [ "# Hamiltonian Simulation" ] }, { "cell_type": "markdown", "id": "a444def8", "metadata": {}, "source": [ "## Overview" ] }, { "cell_type": "markdown", "id": "a4ab914e", "metadata": {}, "source": [ "The goal in Hamiltonian simulation problems is to implement the map $H \\mapsto \\text{exp}(-i\\tau H)$ for some Hermitian matrix $H$ (the Hamiltonian). Using QSP, we can reduce this problem to setting our target scalar function to $f(x) = \\text{exp}(-i\\tau x)$. Due to our parity constraint, the implementation of the target scalar function is separated into implementing components $f_{\\text{Re}}(x) = \\cos(\\tau x)$ and $f_{\\text{Im}}(x) = \\sin(\\tau x)$ respectively. These components can then be combined to realize $\\text{exp}(-i\\tau H)$ using linear combination of unitaries (LCU). To illustrate this workflow, we will choose $\\tau = 100$." ] }, { "cell_type": "code", "execution_count": 15, "id": "e94bd673", "metadata": {}, "outputs": [], "source": [ "tau = 100\n", "\n", "opts = {\n", " 'maxiter': 100,\n", " 'criteria': 1e-12,\n", " 'useReal': True,\n", " 'method': 'Newton' # MATLAB QSPPACK tutorial uses CM\n", "}" ] }, { "cell_type": "markdown", "id": "13369131", "metadata": {}, "source": [ "## Solving for the real component" ] }, { "cell_type": "markdown", "id": "30190e0c", "metadata": {}, "source": [ "To increase the numerical stability, the real component of the target function is scaled down by a factor of $\\frac{1}{2}$. This scaling causes the target function to be uniformly upper bounded by $\\frac{1}{2}$. The Chebyshev coefficients of the target function are obtained by truncating the series to some finite degree, where it suffices to set $d=1.4|\\tau|+\\log\\left( \\frac{1}{\\epsilon_0}\\right)$ so that the truncation error is below $\\epsilon_0$." ] }, { "cell_type": "code", "execution_count": 16, "id": "ebc2c783", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Should be 0 due to even parity:\t2.0301221021717148e-17\n" ] } ], "source": [ "import numpy as np\n", "from numpy.polynomial.chebyshev import chebinterpolate\n", "\n", "# Define the target function\n", "def targ(x):\n", " return 0.5 * np.cos(tau * x)\n", "\n", "# Compute the degree for Chebyshev approximation\n", "d = int(np.ceil(1.4 * tau + np.log(1e14)))+1\n", "parity = d % 2\n", "\n", "# Generate Chebyshev coefficients\n", "xpts = np.cos(np.pi * (np.arange(d)+0.5) / d)\n", "f_values = targ(xpts)\n", "coef = chebinterpolate(targ, d)\n", "\n", "# Discard coefficients of odd orders due to the even parity\n", "print(f\"Should be 0 due to even parity:\\t{max(coef[parity+1::2])}\")\n", "coef_even = coef[parity::2]" ] }, { "cell_type": "code", "execution_count": 17, "id": "0781b142", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from numpy.polynomial.chebyshev import chebval\n", "\n", "# Define a range of x values for plotting\n", "x_values = np.linspace(-1, 1, 500)\n", "\n", "# Evaluate the Chebyshev polynomial at these x values\n", "y_values = chebval(x_values, coef)\n", "\n", "# Plot the function\n", "plt.figure(figsize=(8, 6))\n", "plt.plot(x_values, y_values, label='Chebyshev Approximation', color=\"red\")\n", "plt.scatter(xpts, f_values, label='Target Function')\n", "plt.xlabel('$x$', fontsize=12)\n", "plt.ylabel('$f(x)$', fontsize=12)\n", "plt.title('Function Approximation using Chebyshev Coefficients')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "722e4f20", "metadata": {}, "source": [ "## Solving the phase factors and verifying" ] }, { "cell_type": "markdown", "id": "7c58ba99", "metadata": {}, "source": [ "We can again use Newton's method to find the phase factors and verify the solution." ] }, { "cell_type": "code", "execution_count": 18, "id": "387bb391", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "iter err \n", " 1 +1.7869e-01\n", " 2 +1.8346e-03\n", " 3 +1.4232e-07\n", "Stop criteria satisfied.\n", " 3 +1.4232e-07\n", "Stop criteria satisfied.\n", "The residual error is\n", "5.873079800267078e-14\n", "The residual error is\n", "5.873079800267078e-14\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qsppack.solver import solve\n", "phi_proc, out = solve(coef_even, parity, opts)\n", "\n", "from qsppack.utils import chebyshev_to_func, get_entry\n", "import matplotlib.pyplot as plt\n", "\n", "xlist = np.linspace(0, 1, 1000)\n", "targ_value = targ(xlist)\n", "QSP_value = get_entry(xlist, phi_proc, out)\n", "err = np.linalg.norm(QSP_value - targ_value, np.inf)\n", "print('The residual error is')\n", "print(err)\n", "\n", "plt.plot(xlist, QSP_value - targ_value)\n", "plt.xlabel('$x$', fontsize=12)\n", "plt.ylabel('$g(x,\\\\Phi^*)-f_\\\\mathrm{poly}(x)$', fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5e9d5b71", "metadata": {}, "source": [ "## Reference\n", "1. Low, G. H., & Chuang, I. L. (2017). Optimal Hamiltonian simulation by quantum signal processing. *Physical review letters*, 118(1), 010501.\n", "\n", "2. Gilyén, A., Su, Y., Low, G. H., & Wiebe, N. (2019, June). Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics. In *Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing* (pp. 193-204).\n", "\n", "3. Dong, Y., Meng, X., Whaley, K. B., & Lin, L. (2021). Efficient phase-factor evaluation in quantum signal processing. *Physical Review A*, 103(4), 042419." ] }, { "cell_type": "markdown", "id": "051e63d4", "metadata": {}, "source": [ "## Additional plots\n", "\n", "Consider $f(x)=\\frac{1}{2} \\cos(100 x)$. We can first approximate $f(x)$ by an even polynomial $p(x)$ using Chebyshev interpolation, and then use Newton's method to find phase factors $\\Psi$ such that $\\Re[U_d(x,\\Psi)]_{1,1}=p(x)$. \n" ] }, { "cell_type": "code", "execution_count": 23, "id": "bed63932", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree of the approximating polynomial: 150\n", "Number of even coefficients: 76\n", "iter err \n", " 1 +1.7869e-01\n", " 2 +1.8346e-03\n", " 3 +1.4232e-07\n", "Stop criteria satisfied.\n", "Converged in 4 iterations\n" ] } ], "source": [ "# Recalculate with higher degree for high-precision example\n", "d_high = 150\n", "parity = 0 # Even parity for cosine function\n", "\n", "# Generate Chebyshev coefficients with higher degree\n", "coef_high = chebinterpolate(targ, d_high)\n", "\n", "# Extract even coefficients only (due to even parity)\n", "coef_even_high = coef_high[parity::2]\n", "\n", "print(f\"Degree of the approximating polynomial: {d_high}\")\n", "print(f\"Number of even coefficients: {len(coef_even_high)}\")\n", "\n", "# Set up solver options - use Newton method like the working example\n", "opts_high = {\n", " 'maxiter': 100,\n", " 'criteria': 1e-14,\n", " 'useReal': True,\n", " 'method': 'Newton' \n", "}\n", "\n", "# Solve for phase factors\n", "phi_proc_high, out_high = solve(coef_even_high, parity, opts_high)\n", "\n", "print(f\"Converged in {out_high['iter']} iterations\")" ] }, { "cell_type": "code", "execution_count": 20, "id": "5acdab16", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The QSP vs polynomial error is: 2.5865713040927432e-15\n", "The QSP vs target error is: 5.542973564409519e-15\n" ] } ], "source": [ "# Evaluate the functions for comparison\n", "xlist = np.linspace(0, 1, 1000)\n", "targ_value = targ(xlist)\n", "func_value = chebval(xlist, coef_high) # Polynomial approximation\n", "QSP_value_high = get_entry(xlist, phi_proc_high, out_high)\n", "\n", "# Calculate errors\n", "poly_error = np.linalg.norm(QSP_value_high - func_value, 1) / len(xlist)\n", "qsp_error = np.linalg.norm(QSP_value_high - targ_value, 1) / len(xlist)\n", "\n", "print('The QSP vs polynomial error is:', poly_error)\n", "print('The QSP vs target error is:', qsp_error)\n", "\n", "# Prepare phase factors with pi/4 removed from both ends\n", "phi_shift = phi_proc_high.copy()\n", "phi_shift[0] = phi_shift[0] - np.pi/4\n", "phi_shift[-1] = phi_shift[-1] - np.pi/4" ] }, { "cell_type": "code", "execution_count": 21, "id": "752bdb51", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate the three-subplot figure matching the MATLAB version\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", "\n", "# Left subplot: polynomial approximation vs actual function\n", "axes[0].plot(xlist, targ_value, 'r-', linewidth=1.5, label='Target')\n", "axes[0].plot(xlist, QSP_value_high, 'b--', linewidth=1.5, label='QSP')\n", "axes[0].set_xlabel('$x$', fontsize=12)\n", "axes[0].set_ylabel('$f(x)$', fontsize=12)\n", "axes[0].set_ylim([-1, 1])\n", "axes[0].legend(loc='best')\n", "axes[0].grid(True)\n", "axes[0].set_title('Target vs QSP')\n", "\n", "# Middle subplot: error between QSP and polynomial approximation\n", "axes[1].plot(xlist, QSP_value_high - func_value, 'k-', linewidth=1.5)\n", "axes[1].set_xlabel('$x$', fontsize=12)\n", "axes[1].set_ylabel('QSP error', fontsize=12)\n", "axes[1].grid(True)\n", "axes[1].set_title('QSP vs Polynomial Error')\n", "\n", "# Right subplot: phase factors (after removing pi/4 factor) on log scale\n", "axes[2].semilogy(range(1, len(phi_shift)+1), np.abs(phi_shift), 'bo-', markersize=4, linewidth=1)\n", "axes[2].set_xlabel('Index $j$', fontsize=12)\n", "axes[2].set_ylabel('$|\\\\psi_j|$', fontsize=12)\n", "axes[2].grid(True)\n", "axes[2].set_title('Phase Factor Decay')\n", "\n", "plt.tight_layout()\n", "# plt.savefig('qsp_cos100x.png', dpi=300, bbox_inches='tight')\n", "# print(f\"Figure saved as 'qsp_cos100x.png'\")\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "regular", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }