From 775843f7365a7ccb1adad2e322fb7f699d523d18 Mon Sep 17 00:00:00 2001 From: Danny Date: Sat, 12 Aug 2023 16:49:44 -0400 Subject: [PATCH] update op_in_dressed_eigenbasis functionality to reflect that the returned operator shouldn't retain information about the underlying subsystems. Now the user can pass the kwarg truncated_dim to specify a cutoff for the returned operator. Alternatively it can be set to None, in which case the whole op is returned but with the appropriate dimensions --- examples/demo_qutip_fluxoniumcz.ipynb | 1206 ++- examples/demo_qutip_fluxoniumreset.ipynb | 11532 ++++++++++----------- 2 files changed, 6908 insertions(+), 5830 deletions(-) diff --git a/examples/demo_qutip_fluxoniumcz.ipynb b/examples/demo_qutip_fluxoniumcz.ipynb index 978ece5..6f48d78 100644 --- a/examples/demo_qutip_fluxoniumcz.ipynb +++ b/examples/demo_qutip_fluxoniumcz.ipynb @@ -105,11 +105,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Truncation\n", - "The efficiency of the simulation is greatly improved by truncating the operators. The truncation happens in two steps:\n", - "1) The first truncation is controlled by setting the `truncated_dim` parameter in the subsystem initialization, which determines the dimension used in diagonalizing the Hamiltonian. Setting these too low can result in an unphysical simulation. Even if energy levels above the truncation are not explicitly involved, they can still drastically affect the matrix elements of the operators. \n", - "\n", - "2) Once the matrix elements and eigenvalues have been obtained, the operators can be truncated further. This truncation can greatly improve the runtime of the simulation. " + "## States and operators " ] }, { @@ -118,36 +114,17 @@ "metadata": {}, "outputs": [], "source": [ - "# The matrix representations can be truncated further for the simulation\n", "total_truncation = 20\n", - "\n", - "# truncate operators to desired dimension\n", - "def truncate(operator: qt.Qobj, dimension: int) -> qt.Qobj:\n", - " return qt.Qobj(operator[:dimension, :dimension])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## States and operators " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ "# get the representation of the n_b operator in the dressed eigenbasis of the composite system\n", - "n_b = hilbertspace.op_in_dressed_eigenbasis(op=qbtb.n_operator)\n", - "# truncate the operator after expressing in the dressed basis to speed up the simulation\n", - "n_b = truncate(n_b, total_truncation)" + "n_b = hilbertspace.op_in_dressed_eigenbasis(\n", + " op_callable_or_tuple=qbtb.n_operator,\n", + " truncated_dim=total_truncation,\n", + ")" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -174,7 +151,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -192,15 +169,11 @@ "# Hamiltonian in dressed eigenbasis\n", "(evals,) = hilbertspace[\"evals\"]\n", "# The factor of 2pi converts the energy to GHz so that the time is in units of ns\n", - "diag_dressed_hamiltonian = (\n", - " 2 * np.pi * qt.Qobj(np.diag(evals),\n", - " dims=[hilbertspace.subsystem_dims] * 2)\n", - ")\n", - "diag_dressed_hamiltonian_trunc = truncate(diag_dressed_hamiltonian, total_truncation)\n", + "diag_dressed_hamiltonian = 2 * np.pi * qt.Qobj(np.diag(evals[0:total_truncation]))\n", "\n", "# time-dependent drive Hamiltonian\n", "H_qbt_drive = [\n", - " diag_dressed_hamiltonian_trunc,\n", + " diag_dressed_hamiltonian,\n", " [2 * np.pi * n_b, drive_coeff], # driving through the resonator\n", "]" ] @@ -214,22 +187,1125 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "text/plain": "Text(0.5, 0, 't (ns)')" + "text/plain": [ + "Text(0.5, 0, 't (ns)')" + ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { - "text/plain": "
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" 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" + ] }, "metadata": {}, "output_type": "display_data" @@ -242,7 +1318,7 @@ "# This simulation is just for viewing the affect of the pulse\n", "result = qt.sesolve(\n", " H_qbt_drive,\n", - " qt.basis(20, hilbertspace.dressed_index(product_states[3])),\n", + " qt.basis(total_truncation, hilbertspace.dressed_index(product_states[3])),\n", " tlist,\n", " e_ops=[state * state.dag() for state in states]\n", ")\n", @@ -264,7 +1340,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -282,7 +1358,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -300,15 +1376,28 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "text/plain": "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\nQobj data =\n[[ 9.99997558e-01+0.00000000e+00j 7.35241090e-08-9.49725529e-08j\n 3.99463511e-05+2.18320693e-05j -8.53948262e-07+2.82839250e-08j]\n [-7.01944586e-08-9.48664962e-08j 9.95520147e-01+0.00000000e+00j\n 2.17470258e-06-6.46731035e-06j -7.57443647e-05+2.00623781e-05j]\n [-3.99721921e-05+2.17851550e-05j -9.74663830e-07-3.01235561e-06j\n 9.99620205e-01+0.00000000e+00j -3.47478033e-06-6.59973136e-07j]\n [ 2.42061470e-07+1.48908800e-07j -7.02332015e-05-3.47883383e-05j\n -3.53709345e-06-4.98170249e-08j -9.77936404e-01-2.00098574e-01j]]", - "text/latex": "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False $ \\\\ \\left(\\begin{matrix}1.000 & (7.352\\times10^{-08}-9.497\\times10^{-08}j) & (3.995\\times10^{-05}+2.183\\times10^{-05}j) & (-8.539\\times10^{-07}+2.828\\times10^{-08}j)\\\\(-7.019\\times10^{-08}-9.487\\times10^{-08}j) & 0.996 & (2.175\\times10^{-06}-6.467\\times10^{-06}j) & (-7.574\\times10^{-05}+2.006\\times10^{-05}j)\\\\(-3.997\\times10^{-05}+2.179\\times10^{-05}j) & (-9.747\\times10^{-07}-3.012\\times10^{-06}j) & 1.000 & (-3.475\\times10^{-06}-6.600\\times10^{-07}j)\\\\(2.421\\times10^{-07}+1.489\\times10^{-07}j) & (-7.023\\times10^{-05}-3.479\\times10^{-05}j) & (-3.537\\times10^{-06}-4.982\\times10^{-08}j) & (-0.978-0.200j)\\\\\\end{matrix}\\right)$" + "text/latex": [ + "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}1.000 & (7.352\\times10^{-08}-9.497\\times10^{-08}j) & (3.995\\times10^{-05}+2.183\\times10^{-05}j) & (-8.539\\times10^{-07}+2.828\\times10^{-08}j)\\\\(-7.019\\times10^{-08}-9.487\\times10^{-08}j) & 0.996 & (2.175\\times10^{-06}-6.467\\times10^{-06}j) & (-7.574\\times10^{-05}+2.006\\times10^{-05}j)\\\\(-3.997\\times10^{-05}+2.179\\times10^{-05}j) & (-9.747\\times10^{-07}-3.012\\times10^{-06}j) & 1.000 & (-3.475\\times10^{-06}-6.600\\times10^{-07}j)\\\\(2.421\\times10^{-07}+1.489\\times10^{-07}j) & (-7.023\\times10^{-05}-3.479\\times10^{-05}j) & (-3.537\\times10^{-06}-4.982\\times10^{-08}j) & (-0.978-0.200j)\\\\\\end{array}\\right)\\end{equation*}" + ], + "text/plain": [ + "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\n", + "Qobj data =\n", + "[[ 9.99997558e-01+0.00000000e+00j 7.35241089e-08-9.49725525e-08j\n", + " 3.99463511e-05+2.18320693e-05j -8.53948251e-07+2.82839247e-08j]\n", + " [-7.01944585e-08-9.48664958e-08j 9.95520147e-01+0.00000000e+00j\n", + " 2.17470260e-06-6.46731036e-06j -7.57443646e-05+2.00623782e-05j]\n", + " [-3.99721921e-05+2.17851550e-05j -9.74663842e-07-3.01235561e-06j\n", + " 9.99620205e-01+0.00000000e+00j -3.47478034e-06-6.59973132e-07j]\n", + " [ 2.42061473e-07+1.48908800e-07j -7.02332015e-05-3.47883382e-05j\n", + " -3.53709345e-06-4.98170239e-08j -9.77936405e-01-2.00098573e-01j]]" + ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -323,14 +1412,16 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "text/plain": "0.9906027020232415" + "text/plain": [ + "0.9906027021114504" + ] }, - "execution_count": 11, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -343,14 +1434,13 @@ { "cell_type": "code", "execution_count": null, - "outputs": [], - "source": [], "metadata": { - "collapsed": false, "pycharm": { "name": "#%%\n" } - } + }, + "outputs": [], + "source": [] } ], "metadata": { @@ -369,7 +1459,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.15" + "version": "3.7.7" }, "vscode": { "interpreter": { @@ -379,4 +1469,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/demo_qutip_fluxoniumreset.ipynb b/examples/demo_qutip_fluxoniumreset.ipynb index 139c4b2..e5a67b2 100644 --- a/examples/demo_qutip_fluxoniumreset.ipynb +++ b/examples/demo_qutip_fluxoniumreset.ipynb @@ -126,20 +126,6 @@ "Here, a coupled system with dimensions $10$ by $8$ is simulated. These truncation levels are reasonable to obtain the operators for each individual system. However, this results in a full Hamiltonian represented by an $80 \\times 80$ matrix. After diagonalization, the Hamiltonian and subsystem operators can be safely truncated to a lower dimension, specified here by the variable `total_truncation`." ] }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# The matrix representations can be truncated further for the simulation\n", - "total_truncation = 20\n", - "\n", - "# truncate operators to desired dimension\n", - "def truncate(operator: qt.Qobj, dimension: int) -> qt.Qobj:\n", - " return qt.Qobj(operator[:dimension, :dimension])" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -149,22 +135,28 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ + "total_truncation = 20\n", + "\n", "# express the resonator drive operator in the dressed eigenbasis of the system\n", - "phi_r = hilbertspace.op_in_dressed_eigenbasis(op=osc.annihilation_operator) \\\n", - " + hilbertspace.op_in_dressed_eigenbasis(op=osc.creation_operator)\n", + "phi_r = (hilbertspace.op_in_dressed_eigenbasis(\n", + " op_callable_or_tuple=osc.annihilation_operator, \n", + " truncated_dim=total_truncation)\n", + " + hilbertspace.op_in_dressed_eigenbasis(\n", + " op_callable_or_tuple=osc.creation_operator,\n", + " truncated_dim=total_truncation\n", + " )\n", + " )\n", "\n", - "#truncate operator for more efficient simulation\n", - "phi_r_trunc = truncate(phi_r, total_truncation)\n", "\n", "# do the same for the qubit charge operator\n", - "n_qbt = hilbertspace.op_in_dressed_eigenbasis(op=qbt.n_operator)\n", - "\n", - "#truncate operator\n", - "n_qbt_trunc = truncate(n_qbt, total_truncation)" + "n_qbt = hilbertspace.op_in_dressed_eigenbasis(\n", + " op_callable_or_tuple=qbt.n_operator,\n", + " truncated_dim=total_truncation\n", + ")" ] }, { @@ -176,7 +168,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -219,21 +211,18 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# The factor of 2pi converts the energy to GHz so that the time is in units of ns\n", - "diag_dressed_hamiltonian = qt.Qobj(\n", - " 2 * np.pi * np.diag(evals), dims=[hilbertspace.subsystem_dims] * 2\n", - ")\n", - "diag_dressed_hamiltonian_trunc = truncate(diag_dressed_hamiltonian, total_truncation)\n", + "diag_dressed_hamiltonian = qt.Qobj(2 * np.pi * np.diag(evals[0:total_truncation]))\n", "\n", "# The time-dependent driven Hamiltonian\n", "H_qbt_drive = [\n", - " diag_dressed_hamiltonian_trunc,\n", + " diag_dressed_hamiltonian,\n", " #Another factor of 2pi is needed to convert energy to units where time is in ns\n", - " [2 * np.pi * phi_r_trunc, drive_coeff], # driving through the resonator\n", + " [2 * np.pi * phi_r, drive_coeff], # driving through the resonator\n", "]" ] }, @@ -247,17 +236,16 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# resonator decay constant\n", "kappa = 0.003\n", "# annihilation operator\n", - "a_osc = truncate(\n", - " #basis_change(osc.annihilation_operator(), osc, hilbertspace), total_truncation\n", - " hilbertspace.op_in_dressed_eigenbasis(op=osc.annihilation_operator),\n", - " total_truncation\n", + "a_osc = hilbertspace.op_in_dressed_eigenbasis(\n", + " op_callable_or_tuple=osc.annihilation_operator,\n", + " truncated_dim=total_truncation\n", ")" ] }, @@ -273,7 +261,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -296,7 +284,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -305,34 +293,34 @@ "Text(0, 0.5, 'population')" ] }, - "execution_count": 9, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "application/pdf": 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"\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n", + "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n", " \n", " \n", " \n", + "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n", " \n", + " \n", " \n", " \n", - " \n", + " \n", " \n", - " \n", - " \n", + " \n", + "\" id=\"DejaVuSans-27e9\" transform=\"scale(0.015625)\"/>\n", " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", " \n", " \n", - " \n", + " \n", " \n", + "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n", " \n", + " \n", " \n", " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", - " \n", + " \n", " \n", + "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n", " \n", + " \n", " \n", " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", - " \n", + " \n", " \n", + "\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\n", " \n", + " \n", " \n", " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", " \n", " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", "\n" @@ -6894,14 +6882,14 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Fidelity: 0.9773075921183019\n" + "Fidelity: 0.9773074300628821\n" ] } ], @@ -6933,7 +6921,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.16" + "version": "3.7.7" }, "vscode": { "interpreter": {