diff --git a/quantum_simulation_recipe/plot_config.py b/quantum_simulation_recipe/plot_config.py index eb12d29..2de83c2 100644 --- a/quantum_simulation_recipe/plot_config.py +++ b/quantum_simulation_recipe/plot_config.py @@ -70,7 +70,7 @@ def set_color_cycle(color_cycle, alpha=0.3, mfc=False, edgecolor=False): if edgecolor: colors = mpl.cycler(color=color_cycle, markeredgecolor=color_cycle) else: - colors = mpl.cycler(color=color_cycle) + colors = mpl.cycler(color=color_cycle, markeredgecolor=['k']*len(color_cycle)) mpl.rc('axes', prop_cycle=colors) default_color_cycle = ["#B65655FF", "#5471abFF", "#6aa66eFF", "#A66E6AFF"] @@ -170,14 +170,14 @@ def ax_set_text(ax, x_label, y_label, title=None, legend='best', xticks=None, yt # else: # plt.plot(x, y, marker, label=label, linewidth=linewidth, markeredgecolor=markeredgecolor, markeredgewidth=0.5, alpha=alpha) -def plot_evo(ax, t_list, y_list, marker, color='', title='', xlabel='', ylabel='', label='', markersize=10, markeredgewidth=1.5, inset=False): +def plot_evo(ax, t_list, y_list, marker, color='', title='', xlabel='', ylabel='', label='', markersize=10, markeredgewidth=1.5, lw=1.5, inset=False): if color == '': - ax.plot(t_list, y_list, marker, label=label, markersize=markersize, markeredgewidth=markeredgewidth) + ax.plot(t_list, y_list, marker, label=label, markersize=markersize, markeredgewidth=markeredgewidth, linewidth=lw) # ax.plot(t_list, y_list, '-', markersize=5) # ax.plot(t_list, y_list, 'o', label=label, markersize=5) # ax.plot(t_list, y_list, marker, label=label, markeredgecolor='k', markeredgewidth=0.4, markersize=5) else: - ax.plot(t_list, y_list, marker, color=color, label=label, markeredgecolor=color, markeredgewidth=markeredgewidth, markersize=markersize, mfc=lighten_color(color, 0.3)) + ax.plot(t_list, y_list, marker, color=color, label=label, markeredgecolor=color, markeredgewidth=markeredgewidth, markersize=markersize, linewidth=lw, mfc=lighten_color(color, 0.3)) # ax.plot(t_list, y_list, marker, color=color, label=label, markeredgecolor=color, markeredgewidth=0.4, markersize=markersize, mfc=color[:-2]+"80") if not inset: ax.set_title(title) diff --git a/quantum_simulation_recipe/test.ipynb b/quantum_simulation_recipe/test.ipynb index fdcec52..9138cf6 100644 --- a/quantum_simulation_recipe/test.ipynb +++ b/quantum_simulation_recipe/test.ipynb @@ -26,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 3, "id": "8c03d3e4", "metadata": {}, "outputs": [], @@ -307,10 +307,20 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 2, "id": "85dc8331", "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/scipy/sparse/linalg/_dsolve/linsolve.py:602: SparseEfficiencyWarning: splu converted its input to CSC format\n", + " return splu(A).solve\n", + "/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/scipy/sparse/linalg/_matfuncs.py:707: SparseEfficiencyWarning: spsolve is more efficient when sparse b is in the CSC matrix format\n", + " return spsolve(Q, P)\n" + ] + }, { "data": { "text/plain": [ @@ -318,19 +328,73 @@ "\twith 128 stored elements in Compressed Sparse Row format>" ] }, - "execution_count": 9, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from trotter import pf\n", + "from spin import Nearest_Neighbour_1d\n", "\n", + "nnh = Nearest_Neighbour_1d(4, Jx=1, hz=0.2, pbc=True)\n", + "## different input formats: standard, sparse, jax\n", "pf(nnh.ham_par, 2, 100, order=2) # use scipy\n", "pf(nnh.ham_par, 2, 100, order=2, use_jax=True) # use jax\n", "pf([term.to_matrix(True) for term in nnh.ham_par], 2, 100, order=2) # use sparse" ] }, + { + "cell_type": "code", + "execution_count": 46, + "id": "7597275c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a_em: -1.0169537928373735; b_em: 1.8421204163870155\n", + "a_em: -2.0012645749513407; b_em: 4.996488874799091\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 565, + "width": 865 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "from trotter import pf, expH\n", + "from bounds import commutator, norm\n", + "from plot_config import *\n", + "set_color_cycle(['#9467bdFF', '#2ca02cFF', '#d62728FF', '#1f77b4FF', '#ff7f0eFF', '#8c564bFF'])\n", + "n = 6\n", + "t = 2*n\n", + "nnh = Nearest_Neighbour_1d(n, Jx=1, hz=0.2, pbc=True)\n", + "r_list = sorted(list(set(np.logspace(1, 4, 20, dtype=int))))\n", + "exact_U = expH(nnh.ham, t)\n", + "err_list1 = [norm(pf(nnh.ham_xyz, t, r, order=1) - exact_U, ord=2) for r in r_list]\n", + "err_list2 = [norm(pf(nnh.ham_xyz, t, r, order=2) - exact_U, ord=2) for r in r_list]\n", + "\n", + "fig, ax = plt.subplots(1, 1, figsize=(9, 6))\n", + "ax.plot(r_list, err_list1, 'o', label='1st order PF')\n", + "ax.plot(r_list, err_list2, 'o', label='2st order PF')\n", + "plot_fit(ax, r_list[5:], err_list1[5:], var='r', label='Fit')\n", + "plot_fit(ax, r_list[5:], err_list2[5:], var='r')\n", + "ax_set_text(ax, r'Trotter step $r$', r'Trotter error $\\|\\tilde{U}_p - U\\|$', log='xy')" + ] + }, { "cell_type": "markdown", "id": "55a3dfba", @@ -359,7 +423,17 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 48, + "id": "073e23e7", + "metadata": {}, + "outputs": [], + "source": [ + "# ! pip install quantum_simulation_recipe" + ] + }, + { + "cell_type": "code", + "execution_count": 49, "id": "809c7242", "metadata": {}, "outputs": [ @@ -367,11 +441,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "Parity grouping: \n", - " [SparsePauliOp(['IIIIZZ', 'IIZZII', 'ZZIIII', 'IIIIIX', 'IIIXII', 'IXIIII'],\n", - " coeffs=[1. +0.j, 1. +0.j, 1. +0.j, 0.2+0.j, 0.2+0.j, 0.2+0.j]), SparsePauliOp(['IIIZZI', 'IZZIII', 'ZIIIIZ', 'IIIIXI', 'IIXIII', 'XIIIII'],\n", - " coeffs=[1. +0.j, 1. +0.j, 1. +0.j, 0.2+0.j, 0.2+0.j, 0.2+0.j])]\n", - "XYZ grouping: \n", + "====Parity grouping==== \n", + " Even: SparsePauliOp(['IIIIZZ', 'IIZZII', 'ZZIIII', 'IIIIIX', 'IIIXII', 'IXIIII'],\n", + " coeffs=[1. +0.j, 1. +0.j, 1. +0.j, 0.2+0.j, 0.2+0.j, 0.2+0.j]) \n", + " Odd: SparsePauliOp(['IIIZZI', 'IZZIII', 'ZIIIIZ', 'IIIIXI', 'IIXIII', 'XIIIII'],\n", + " coeffs=[1. +0.j, 1. +0.j, 1. +0.j, 0.2+0.j, 0.2+0.j, 0.2+0.j])\n", + "====XYZ grouping==== \n", " [SparsePauliOp(['IIIIIX', 'IIIIXI', 'IIIXII', 'IIXIII', 'IXIIII', 'XIIIII'],\n", " coeffs=[0.2+0.j, 0.2+0.j, 0.2+0.j, 0.2+0.j, 0.2+0.j, 0.2+0.j]), SparsePauliOp(['IIIIZZ', 'IIIZZI', 'IIZZII', 'IZZIII', 'ZZIIII', 'ZIIIIZ'],\n", " coeffs=[1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j])]\n" @@ -379,16 +454,17 @@ } ], "source": [ + "from spin import Nearest_Neighbour_1d\n", "n = 6\n", "J, h = 1, 0.2 \n", - "tfI = Nearest_Neighbour_1d(n=n, Jz=J, hx=h, pbc=True)\n", - "print('Parity grouping: \\n', tfI.ham_par)\n", - "print('XYZ grouping: \\n', tfI.ham_xyz)" + "tfI = Nearest_Neighbour_1d(n=n, Jz=J, hx=h, hy=0, pbc=True)\n", + "print('====Parity grouping==== \\n Even: ', tfI.ham_par[0], '\\n Odd: ', tfI.ham_par[1])\n", + "print('====XYZ grouping==== \\n', tfI.ham_xyz)" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 23, "id": "f730b002", "metadata": {}, "outputs": [ @@ -404,39 +480,41 @@ } ], "source": [ + "from bounds import commutator, norm\n", "cmm_xyz = commutator(tfI.ham_xyz[0], tfI.ham_xyz[1]).simplify()\n", "print('commutator of xyz grouping: \\n', cmm_xyz)" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 24, "id": "92245f95", "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "SparsePauliOp(['IIIIIY', 'IIIIYI', 'IIIYII', 'IIYIII', 'IYIIII', 'YIIIII'],\n", - " coeffs=[0.-0.4j, 0.-0.4j, 0.-0.4j, 0.-0.4j, 0.-0.4j, 0.-0.4j])" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "Magnetization operator: SparsePauliOp(['IIIIIZ', 'IIIIZI', 'IIIZII', 'IIZIII', 'IZIIII', 'ZIIIII'],\n", + " coeffs=[1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j])\n", + "[M, H]= SparsePauliOp(['IIIIIY', 'IIIIYI', 'IIIYII', 'IIYIII', 'IYIIII', 'YIIIII'],\n", + " coeffs=[0.-0.4j, 0.-0.4j, 0.-0.4j, 0.-0.4j, 0.-0.4j, 0.-0.4j])\n" + ] } ], "source": [ + "## observable\n", "from qiskit.quantum_info import SparsePauliOp\n", "magn_op = SparsePauliOp.from_sparse_list([('Z', [i], 1) for i in range(0, n)], n)\n", + "print('Magnetization operator: ', magn_op)\n", "corr_op = SparsePauliOp.from_sparse_list([('ZZ', [i,i+1], 1/(n-1)) for i in range(0, n-1)], n)\n", - "cmm_H_magn = commutator(tfI.ham_xyz[0], magn_op).simplify()\n", - "cmm_H_magn" + "cmm_H_magn = commutator(tfI.ham_xyz[0]+tfI.ham_xyz[1], magn_op).simplify()\n", + "print('[M, H]=', cmm_H_magn)" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 25, "id": "464ec272", "metadata": {}, "outputs": [ diff --git a/requirements.txt b/requirements.txt index d2f8d16..f2675e4 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1,4 +1,3 @@ -jax==0.4.12 matplotlib==3.8.2 numpy==1.23.5 openfermion==1.5.1 @@ -6,3 +5,7 @@ openfermionpyscf==0.5 pandas==2.2.2 qiskit==1.0.2 scipy==1.12.0 +jax==0.4.12 +jaxlib == 0.4.12 +colorspace==0.4.4 +multiprocess==0.70.16 \ No newline at end of file diff --git a/setup.py b/setup.py index 2be8379..e42195e 100644 --- a/setup.py +++ b/setup.py @@ -59,13 +59,16 @@ python_requires=">=3.10", entry_points={"console_scripts": ["quantum-simulation-recipe = quantum_simulation_recipe.main:main"]}, install_requires=[ - "jax == 0.4.12", "qiskit >= 1.0.2", "openfermion >= 1.5.1", "openfermionpyscf >= 0.5", "matplotlib >= 3.8.2", - "scipy >= 1.12.0", "numpy >= 1.23.5", "pandas >= 2.2.2", + "scipy == 1.12.0", + "jax == 0.4.12", + "jaxlib == 0.4.12", + "colorspace==0.4.4", + "multiprocess==0.70.16", ], ) \ No newline at end of file