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Fixing small errors in 101 #741

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merged 4 commits into from
Jan 28, 2025
Merged

Fixing small errors in 101 #741

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4a601dd
Aesthetic changes to Hadamard Test notebook
Jan 27, 2025
51e94c0
changed to new visualization in LCU and fixed syntax
Jan 27, 2025
f01a183
changed to new visualization in Swap Test and fixed error
Jan 27, 2025
b6b7560
small fix of image in LCU
Jan 27, 2025
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97 changes: 39 additions & 58 deletions algorithms/swap_test/swap_test.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -7,20 +7,20 @@
"source": [
"# The Swap Test Algorithm\n",
"\n",
"The swap test is a quantum function that checks the overlap between two quantum states: the inputs of the function are two quantum registers of the same size, $|\\psi_1\\rangle, \\,|\\psi_2\\rangle$, and it returns as an output a single \"test\" qubit whose state encodes the overlap between the two inputs: $|q\\rangle_{\\rm test} = \\alpha|0\\rangle + \\sqrt{1-\\alpha^2}|1\\rangle$, with\n",
"The Swap test is a quantum function that checks the overlap between two quantum states: the inputs of the function are two quantum registers of the same size, $|\\psi_1\\rangle, \\,|\\psi_2\\rangle$, and it returns as an output a single test qubit whose state encodes the overlap between the two inputs: $|q\\rangle_{\\rm test} = \\alpha|0\\rangle + \\sqrt{1-\\alpha^2}|1\\rangle$, with\n",
"$$\n",
"\\alpha^2 = \\frac{1}{2}\\left(1+|\\langle \\psi_1 |\\psi_2 \\rangle |^2\\right).\n",
"$$\n",
"Thus, the probability of measuring the test qubit at state $|0\\rangle$ is $1$ if the states are identical (up to a global phase) and 0.5 if the states are orthogonal to each other.\n",
"\n",
"The quantum model starts with an H gate on the test qubit, followed by swapping between the two states controlled on the test qubit (a controlled-SWAP gate for each of the qubits in the two states), and a final H gate on the test qubit:\n",
"The quantum model starts with an $H$ gate on the test qubit, followed by swapping between the two states controlled on the test qubit (a controlled-SWAP gate for each of the qubits in the two states), and a final $H$ gate on the test qubit\n",
"\n",
"A general scheme of the Swap test algorithm:\n",
"\n",
"<center>\n",
"<table><tr>\n",
"<td> <img src=\"https://docs.classiq.io/resources/swap_test_closed.png\" style=\"width:100%\">\n",
"<td> <img src=\"https://docs.classiq.io/resources/swap_test_opened.png\" style=\"width:100%\">\n",
"</tr></table>\n",
"<figcaption align = \"middle\"> Closed (left panel) and opened (right panel) visualization of the swap test algorithm </figcaption>\n",
"<div style=\"text-align:center;\">\n",
" <img src=\"https://docs.classiq.io/resources/Swap_Test_Circuit.png\" alt=\"Swap_Test_blocks\" border=\"0\">\n",
"</div>\n",
"</center>"
]
},
Expand All @@ -34,16 +34,9 @@
},
{
"cell_type": "code",
"execution_count": 1,
"execution_count": 3,
"id": "3172465a-c12d-4636-8092-430c8506622f",
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-07T14:30:58.002513Z",
"iopub.status.busy": "2024-05-07T14:30:58.002260Z",
"iopub.status.idle": "2024-05-07T14:30:58.132861Z",
"shell.execute_reply": "2024-05-07T14:30:58.132021Z"
}
},
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
Expand All @@ -69,17 +62,18 @@
},
{
"cell_type": "code",
"execution_count": 2,
"execution_count": 4,
"id": "eb3efd6a-ed62-4607-a297-f903f2415c93",
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-07T14:30:58.138930Z",
"iopub.status.busy": "2024-05-07T14:30:58.137654Z",
"iopub.status.idle": "2024-05-07T14:31:03.338893Z",
"shell.execute_reply": "2024-05-07T14:31:03.337995Z"
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Opening: https://platform.classiq.io/circuit/2sDZTfkLYOewJWOLqSzQB7pgqMW?version=0.66.0\n"
]
}
},
"outputs": [],
],
"source": [
"from classiq import *\n",
"\n",
Expand All @@ -105,9 +99,9 @@
"id": "eeaa11bb-4a3a-4172-bc29-1bb8860f232a",
"metadata": {},
"source": [
"## swap test - qmod implementations\n",
"The swap test is defined as a library function in the qmod language (definition can be found on our [public github](https://github.com/Classiq/classiq-library/blob/main/functions/open_library_definitions/swap_test.qmod ) ).\n",
"Users can easily add their own functions"
"## Swap Test - Qmod Implementations\n",
"The Swap test is defined as a library function in the qmod language (definition can be found on our [public github](https://github.com/Classiq/classiq-library/blob/main/functions/open_library_definitions/swap_test.qmod)).\n",
"Users can easily add their own functions."
]
},
{
Expand All @@ -120,16 +114,9 @@
},
{
"cell_type": "code",
"execution_count": 5,
"execution_count": 7,
"id": "deea6297-699c-44c2-9d39-52cf44010a15",
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-07T14:31:03.534246Z",
"iopub.status.busy": "2024-05-07T14:31:03.533227Z",
"iopub.status.idle": "2024-05-07T14:31:04.983428Z",
"shell.execute_reply": "2024-05-07T14:31:04.982620Z"
}
},
"metadata": {},
"outputs": [],
"source": [
"result = execute(qprog).result_value()"
Expand All @@ -140,28 +127,21 @@
"id": "959995ad-aa6b-4b31-a25b-95396f8ffa7f",
"metadata": {},
"source": [
"## Comparing the measured overlap with the exact overlap\n",
"## Comparing Measured and Exact Overlap\n",
"Using the expected probability of measuring the state $|0\\rangle$ as defined above:\n",
"$$\n",
"\\alpha^2 = \\frac{1}{2}\\left(1+|\\langle \\psi_1 |\\psi_2 \\rangle |^2\\right).\n",
"$$\n",
"we extract the overlap $|\\langle \\psi_1 |\\psi_2 \\rangle |^2=\\sqrt{2 P\\left(q_{\\text{test}}=|0\\rangle\\right)-1}$ \n",
"we extract the overlap $|\\langle \\psi_1 |\\psi_2 \\rangle |=\\sqrt{2 P\\left(q_{\\text{test}}=|0\\rangle\\right)-1}$ \n",
"The exact overlap is computed with the dot product of the two state-vectors.\n",
"Note that for the sake of this demonstration we execute this circuit $100,000$ times to improve the precision of the probability estimate. This is usually not required in actual programs."
]
},
{
"cell_type": "code",
"execution_count": 6,
"execution_count": 8,
"id": "c95fc7a8-c609-4734-95cb-55054d593dbb",
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-07T14:31:04.988036Z",
"iopub.status.busy": "2024-05-07T14:31:04.986986Z",
"iopub.status.idle": "2024-05-07T14:31:04.992140Z",
"shell.execute_reply": "2024-05-07T14:31:04.991431Z"
}
},
"metadata": {},
"outputs": [],
"source": [
"overlap_from_swap_test = np.sqrt(\n",
Expand Down Expand Up @@ -199,16 +179,9 @@
},
{
"cell_type": "code",
"execution_count": 8,
"execution_count": 9,
"id": "27a9308b-5840-44c5-b7b7-7299d8d6175a",
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-07T14:31:05.006570Z",
"iopub.status.busy": "2024-05-07T14:31:05.005418Z",
"iopub.status.idle": "2024-05-07T14:31:05.011253Z",
"shell.execute_reply": "2024-05-07T14:31:05.010541Z"
}
},
"metadata": {},
"outputs": [],
"source": [
"RTOL = 0.05\n",
Expand All @@ -217,6 +190,14 @@
"), f\"\"\"\n",
"The quantum result is too far than classical one, by a relative tolerance of {RTOL}. Please verify your parameters\"\"\""
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d39ccb95-5989-460f-8a49-2b2392cb4c9f",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
Expand All @@ -235,7 +216,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.9"
"version": "3.11.7"
}
},
"nbformat": 4,
Expand Down
47 changes: 46 additions & 1 deletion algorithms/swap_test/swap_test.synthesis_options.json
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Original file line number Diff line number Diff line change
@@ -1 +1,46 @@
{}
{
"constraints": {
"max_gate_count": {},
"optimization_parameter": "no_opt"
},
"preferences": {
"machine_precision": 8,
"custom_hardware_settings": {
"basis_gates": [
"cx",
"r",
"u2",
"rx",
"x",
"z",
"sx",
"id",
"h",
"ry",
"t",
"s",
"rz",
"p",
"u1",
"sdg",
"y",
"cy",
"tdg",
"cz",
"sxdg",
"u"
],
"is_symmetric_connectivity": true
},
"debug_mode": true,
"synthesize_all_separately": false,
"optimization_level": 3,
"output_format": [
"qasm"
],
"pretty_qasm": true,
"transpilation_option": "auto optimize",
"timeout_seconds": 300,
"random_seed": 1860637157
}
}
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