diff --git a/.DS_Store b/.DS_Store deleted file mode 100644 index 94e8e06..0000000 Binary files a/.DS_Store and /dev/null differ diff --git a/examples/demo_qutip_fluxoniumcz.ipynb b/examples/demo_qutip_fluxoniumcz.ipynb index 978ece5..212ce69 100644 --- a/examples/demo_qutip_fluxoniumcz.ipynb +++ b/examples/demo_qutip_fluxoniumcz.ipynb @@ -29,7 +29,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -85,7 +85,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -114,7 +114,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -135,19 +135,19 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 8, "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", + "n_b = hilbertspace.op_in_dressed_eigenbasis((qbtb.n_operator, qbtb))\n", "# truncate the operator after expressing in the dressed basis to speed up the simulation\n", "n_b = truncate(n_b, total_truncation)" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -174,7 +174,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -214,22 +214,1125 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "text/plain": "Text(0.5, 0, 't (ns)')" + "text/plain": [ + "Text(0.5, 0, 't (ns)')" + ] }, - "execution_count": 7, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "text/plain": "
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" 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" + ] }, "metadata": {}, "output_type": "display_data" @@ -264,7 +1367,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -282,7 +1385,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -300,15 +1403,28 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 14, "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 $ \\\\ \\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/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+9.49725527e-08j\n", + " -3.99463511e-05-2.18320693e-05j -8.53948255e-07+2.82839246e-08j]\n", + " [ 7.01944586e-08+9.48664959e-08j 9.95520147e-01+0.00000000e+00j\n", + " 2.17470260e-06-6.46731035e-06j 7.57443646e-05-2.00623781e-05j]\n", + " [ 3.99721921e-05-2.17851550e-05j -9.74663840e-07-3.01235560e-06j\n", + " 9.99620205e-01+0.00000000e+00j 3.47478033e-06+6.59973134e-07j]\n", + " [ 2.42061472e-07+1.48908800e-07j 7.02332015e-05+3.47883383e-05j\n", + " 3.53709345e-06+4.98170255e-08j -9.77936404e-01-2.00098574e-01j]]" + ] }, - "execution_count": 10, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -323,14 +1439,16 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "text/plain": "0.9906027020232415" + "text/plain": [ + "0.9906027020451432" + ] }, - "execution_count": 11, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -343,14 +1461,17 @@ { "cell_type": "code", "execution_count": null, - "outputs": [], - "source": [], "metadata": { "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, "pycharm": { "name": "#%%\n" } - } + }, + "outputs": [], + "source": [] } ], "metadata": { @@ -369,7 +1490,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.15" + "version": "3.9.18" }, "vscode": { "interpreter": { @@ -378,5 +1499,5 @@ } }, "nbformat": 4, - "nbformat_minor": 2 -} \ No newline at end of file + "nbformat_minor": 4 +} diff --git a/examples/demo_qutip_fluxoniumreset.ipynb b/examples/demo_qutip_fluxoniumreset.ipynb index 139c4b2..41a30ff 100644 --- a/examples/demo_qutip_fluxoniumreset.ipynb +++ b/examples/demo_qutip_fluxoniumreset.ipynb @@ -46,7 +46,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -88,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -128,7 +128,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -149,19 +149,19 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# 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((osc.annihilation_operator, osc)) \\\n", + " + hilbertspace.op_in_dressed_eigenbasis((osc.creation_operator, osc))\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_qbt = hilbertspace.op_in_dressed_eigenbasis((qbt.n_operator, qbt))\n", "\n", "#truncate operator\n", "n_qbt_trunc = truncate(n_qbt, total_truncation)" @@ -176,7 +176,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -219,7 +219,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -247,7 +247,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -256,7 +256,7 @@ "# 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", + " hilbertspace.op_in_dressed_eigenbasis((osc.annihilation_operator, osc)),\n", " total_truncation\n", ")" ] @@ -273,7 +273,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -296,7 +296,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -305,13 +305,13 @@ "Text(0, 0.5, 'population')" ] }, - "execution_count": 9, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { - "application/pdf": 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+ "L 383.694234 260.614577 \n", + "L 383.802489 260.675034 \n", + "L 384.018997 260.988755 \n", + "L 384.235506 260.717784 \n", + "L 384.452014 260.842636 \n", + "L 384.560268 261.005646 \n", + "L 384.668523 260.924393 \n", + "L 384.668523 260.924393 \n", + "\" clip-path=\"url(#p45b942893a)\" style=\"fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square\"/>\n", " \n", " \n", " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -6894,14 +6895,14 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Fidelity: 0.9773075921183019\n" + "Fidelity: 0.9773074985182494\n" ] } ], @@ -6909,6 +6910,13 @@ "print(\"Fidelity:\", result.expect[1][-1])" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null, @@ -6933,7 +6941,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.16" + "version": "3.9.18" }, "vscode": { "interpreter": {