[{"data":1,"prerenderedAt":2321},["ShallowReactive",2],{"blog-post-docs\u002Fzz-gate":3,"sibling-dives-docs\u002Fzz-gate":2157,"learn-track-docs\u002Fzz-gate":2158,"learn-docs-groups":2159},{"id":4,"title":5,"authors":6,"body":7,"breadcrumb":6,"builders":6,"byline":6,"category":2138,"categoryName":2139,"challenge":6,"courseAuthor":6,"courseLead":6,"dek":6,"description":2140,"draft":2141,"extension":2142,"eyebrow":6,"featured":2141,"finish":6,"fork":6,"group":2143,"groupName":2144,"hero":6,"heroAlt":6,"heroCta":6,"heroImage":6,"homepageFeatured":2141,"kind":2145,"lessonCount":6,"meta":2146,"navigation":1876,"newsItems":6,"next":6,"ogImage":6,"order":2147,"outcomes":6,"path":2148,"publishDate":2149,"readingTime":6,"related":2150,"relatedProjects":6,"seo":2151,"stem":2154,"tags":2155,"track":6,"trackName":6,"__hash__":2156},"blog\u002Fblog\u002Flearn\u002Fdocs\u002Fzz-gate.md","ZZ gate",null,{"type":8,"value":9,"toc":2129},"minimark",[10,236,289,294,320,324,377,381,491,1264,1283,1287,1812,1815,1819,1827,1831,1963,2093,2099,2103,2125],[11,12,13,14,156,157,187,188,193,194,235],"p",{},"The ZZ gate is the native two-qubit entangling gate of IonQ's Forte systems, the hardware behind Qollab's QPU backends. It applies ",[15,16,19,72],"span",{"className":17},[18],"katex",[15,20,23],{"className":21},[22],"katex-mathml",[24,25,27],"math",{"xmlns":26},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[28,29,30,67],"semantics",{},[31,32,33],"mrow",{},[34,35,36,40],"msup",{},[37,38,39],"mi",{},"e",[31,41,42,46,49,52,55,59,62,65],{},[43,44,45],"mo",{},"−",[37,47,48],{},"i",[37,50,51],{},"π",[37,53,54],{},"θ",[56,57,58],"mtext",{}," ",[37,60,61],{},"Z",[43,63,64],{},"⊗",[37,66,61],{},[68,69,71],"annotation",{"encoding":70},"application\u002Fx-tex","e^{-i\\pi\\theta\\,Z \\otimes Z}",[15,73,77],{"className":74,"ariaHidden":76},[75],"katex-html","true",[15,78,81,86],{"className":79},[80],"base",[15,82],{"className":83,"style":85},[84],"strut","height:0.8491em;",[15,87,90,94],{"className":88},[89],"mord",[15,91,39],{"className":92},[89,93],"mathnormal",[15,95,98],{"className":96},[97],"msupsub",[15,99,102],{"className":100},[101],"vlist-t",[15,103,106],{"className":104},[105],"vlist-r",[15,107,110],{"className":108,"style":85},[109],"vlist",[15,111,113,118],{"style":112},"top:-3.063em;margin-right:0.05em;",[15,114],{"className":115,"style":117},[116],"pstrut","height:2.7em;",[15,119,125],{"className":120},[121,122,123,124],"sizing","reset-size6","size3","mtight",[15,126,128,131,136,140,145,149,153],{"className":127},[89,124],[15,129,45],{"className":130},[89,124],[15,132,135],{"className":133,"style":134},[89,93,124],"margin-right:0.0359em;","iπ",[15,137,54],{"className":138,"style":139},[89,93,124],"margin-right:0.0278em;",[15,141],{"className":142,"style":144},[143,124],"mspace","margin-right:0.1952em;",[15,146,61],{"className":147,"style":148},[89,93,124],"margin-right:0.0715em;",[15,150,64],{"className":151},[152,124],"mbin",[15,154,61],{"className":155,"style":148},[89,93,124],": a phase that depends on whether the two qubits agree. It acts on two qubits and takes one parameter, ",[15,158,160,174],{"className":159},[18],[15,161,163],{"className":162},[22],[24,164,165],{"xmlns":26},[28,166,167,171],{},[31,168,169],{},[37,170,54],{},[68,172,173],{"encoding":70},"\\theta",[15,175,177],{"className":176,"ariaHidden":76},[75],[15,178,180,184],{"className":179},[80],[15,181],{"className":182,"style":183},[84],"height:0.6944em;",[15,185,54],{"className":186,"style":139},[89,93]," in turns. It is an ",[189,190,192],"a",{"href":191},"\u002Flearn\u002Fdocs\u002Frzz-gate","RZZ gate"," of angle ",[15,195,197,217],{"className":196},[18],[15,198,200],{"className":199},[22],[24,201,202],{"xmlns":26},[28,203,204,214],{},[31,205,206,210,212],{},[207,208,209],"mn",{},"2",[37,211,51],{},[37,213,54],{},[68,215,216],{"encoding":70},"2\\pi\\theta",[15,218,220],{"className":219,"ariaHidden":76},[75],[15,221,223,226,229,232],{"className":222},[80],[15,224],{"className":225,"style":183},[84],[15,227,209],{"className":228},[89],[15,230,51],{"className":231,"style":134},[89,93],[15,233,54],{"className":234,"style":139},[89,93],". On its own it changes nothing a measurement can see, whatever the angle; the phases show once the qubits are in superposition.",[11,237,238,239,283,284,288],{},"Kets such as ",[15,240,242,265],{"className":241},[18],[15,243,245],{"className":244},[22],[24,246,247],{"xmlns":26},[28,248,249,262],{},[31,250,251,255,258],{},[37,252,254],{"mathvariant":253},"normal","∣",[207,256,257],{},"0",[43,259,261],{"stretchy":260},"false","⟩",[68,263,264],{"encoding":70},"\\vert 0 \\rangle",[15,266,268],{"className":267,"ariaHidden":76},[75],[15,269,271,275,279],{"className":270},[80],[15,272],{"className":273,"style":274},[84],"height:1em;vertical-align:-0.25em;",[15,276,278],{"className":277},[89],"∣0",[15,280,261],{"className":281},[282],"mclose"," name the basis states and rotations are described on the Bloch sphere; the ",[189,285,287],{"href":286},"\u002Flearn\u002Fquantum-foundations\u002Fqubits","qubits lesson"," introduces both.",[290,291,293],"h2",{"id":292},"before-you-use-a-native-gate","Before you use a native gate",[11,295,296,297,301,302,305,306,309,310,314,315,319],{},"Native gates only run in a native-gate circuit, and a circuit cannot mix native and standard gates. In ",[298,299,300],"code",{},"qiskit-ionq"," a backend is created for one gateset, ",[298,303,304],{},"provider.get_backend(name, gateset=\"native\")","; the pre-created ",[298,307,308],{},"backend"," on Qollab uses the standard gateset. ZZ is the entangler of Forte; Aria systems, which on Qollab are the Aria noise-model simulators, use the ",[189,311,313],{"href":312},"\u002Flearn\u002Fdocs\u002Fms-gate","MS gate"," instead. Submitting native gates bypasses IonQ's compiler and optimiser and turns error mitigation off by default. See ",[189,316,318],{"href":317},"\u002Flearn\u002Fdocs\u002Fhow-your-circuit-is-compiled","How your circuit is compiled",".",[290,321,323],{"id":322},"call","Call",[325,326,327,339],"table",{},[328,329,330],"thead",{},[331,332,333,337],"tr",{},[334,335,336],"th",{},"Where",[334,338,323],{},[340,341,342,353,363],"tbody",{},[331,343,344,348],{},[345,346,347],"td",{},"Python",[345,349,350],{},[298,351,352],{},"qc.append(ZZGate(θ), [qubit0, qubit1])",[331,354,355,358],{},[345,356,357],{},"JS",[345,359,360],{},[298,361,362],{},"circuit.append(ZZGate(θ), [qubit0, qubit1])",[331,364,365,368],{},[345,366,367],{},"Class",[345,369,370,373,374],{},[298,371,372],{},"ZZGate",", from ",[298,375,376],{},"qiskit_ionq",[290,378,380],{"id":379},"matrix","Matrix",[11,382,383,384,319],{},"The matrix uses the basis order 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center","1em",[534,535,536,556,562,568],"mtr",{},[537,538,539],"mtd",{},[540,541,542],"mstyle",{"scriptlevel":257,"displaystyle":260},[34,543,544,546],{},[37,545,39],{},[31,547,548,550,552,554],{},[43,549,45],{},[37,551,48],{},[37,553,51],{},[37,555,54],{},[537,557,558],{},[540,559,560],{"scriptlevel":257,"displaystyle":260},[207,561,257],{},[537,563,564],{},[540,565,566],{"scriptlevel":257,"displaystyle":260},[207,567,257],{},[537,569,570],{},[540,571,572],{"scriptlevel":257,"displaystyle":260},[207,573,257],{},[534,575,576,582,598,604],{},[537,577,578],{},[540,579,580],{"scriptlevel":257,"displaystyle":260},[207,581,257],{},[537,583,584],{},[540,585,586],{"scriptlevel":257,"displaystyle":260},[34,587,588,590],{},[37,589,39],{},[31,591,592,594,596],{},[37,593,48],{},[37,595,51],{},[37,597,54],{},[537,599,600],{},[540,601,602],{"scriptlevel":257,"displaystyle":260},[207,603,257],{},[537,605,606],{},[540,607,608],{"scriptlevel":257,"displaystyle":260},[207,609,257],{},[534,611,612,618,624,640],{},[537,613,614],{},[540,615,616],{"scriptlevel":257,"displaystyle":260},[207,617,257],{},[537,619,620],{},[540,621,622],{"scriptlevel":257,"displaystyle":260},[207,623,257],{},[537,625,626],{},[540,627,628],{"scriptlevel":257,"displaystyle":260},[34,629,630,632],{},[37,631,39],{},[31,633,634,636,638],{},[37,635,48],{},[37,637,51],{},[37,639,54],{},[537,641,642],{},[540,643,644],{"scriptlevel":257,"displaystyle":260},[207,645,257],{},[534,647,648,654,660,666],{},[537,649,650],{},[540,651,652],{"scriptlevel":257,"displaystyle":260},[207,653,257],{},[537,655,656],{},[540,657,658],{"scriptlevel":257,"displaystyle":260},[207,659,257],{},[537,661,662],{},[540,663,664],{"scriptlevel":257,"displaystyle":260},[207,665,257],{},[537,667,668],{},[540,669,670],{"scriptlevel":257,"displaystyle":260},[34,671,672,674],{},[37,673,39],{},[31,675,676,678,680,682],{},[43,677,45],{},[37,679,48],{},[37,681,51],{},[37,683,54],{},[43,685,519],{"fence":76},[68,687,688],{"encoding":70},"ZZ(\\theta) 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is ",[298,1271,1272],{},"rzz(2πθ)",". A ",[189,1275,1277],{"href":1276},"\u002Flearn\u002Fdocs\u002Fcz-gate","CZ gate"," is a ",[298,1280,1281],{},"ZZ(0.25)"," with virtual Z rotations on both qubits, up to a global phase, which is why CZ costs Forte a single native gate.",[290,1284,1286],{"id":1285},"effect-on-basis-states","Effect on basis states",[325,1288,1289,1299],{},[328,1290,1291],{},[331,1292,1293,1296],{},[334,1294,1295],{},"Input",[334,1297,1298],{},"Output",[340,1300,1301,1432,1557,1682],{},[331,1302,1303,1341],{},[345,1304,1305],{},[15,1306,1308,1326],{"className":1307},[18],[15,1309,1311],{"className":1310},[22],[24,1312,1313],{"xmlns":26},[28,1314,1315,1323],{},[31,1316,1317,1319,1321],{},[37,1318,254],{"mathvariant":253},[207,1320,400],{},[43,1322,261],{"stretchy":260},[68,1324,1325],{"encoding":70},"\\vert 00 \\rangle",[15,1327,1329],{"className":1328,"ariaHidden":76},[75],[15,1330,1332,1335,1338],{"className":1331},[80],[15,1333],{"className":1334,"style":274},[84],[15,1336,446],{"className":1337},[89],[15,1339,261],{"className":1340},[282],[345,1342,1343],{},[15,1344,1346,1378],{"className":1345},[18],[15,1347,1349],{"className":1348},[22],[24,1350,1351],{"xmlns":26},[28,1352,1353,1375],{},[31,1354,1355,1369,1371,1373],{},[34,1356,1357,1359],{},[37,1358,39],{},[31,1360,1361,1363,1365,1367],{},[43,1362,45],{},[37,1364,48],{},[37,1366,51],{},[37,1368,54],{},[37,1370,254],{"mathvariant":253},[207,1372,400],{},[43,1374,261],{"stretchy":260},[68,1376,1377],{"encoding":70},"e^{-i\\pi\\theta}\\vert 00 \\rangle",[15,1379,1381],{"className":1380,"ariaHidden":76},[75],[15,1382,1384,1388,1426,1429],{"className":1383},[80],[15,1385],{"className":1386,"style":1387},[84],"height:1.0991em;vertical-align:-0.25em;",[15,1389,1391,1394],{"className":1390},[89],[15,1392,39],{"className":1393},[89,93],[15,1395,1397],{"className":1396},[97],[15,1398,1400],{"className":1399},[101],[15,1401,1403],{"className":1402},[105],[15,1404,1406],{"className":1405,"style":85},[109],[15,1407,1408,1411],{"style":112},[15,1409],{"className":1410,"style":117},[116],[15,1412,1414],{"className":1413},[121,122,123,124],[15,1415,1417,1420,1423],{"className":1416},[89,124],[15,1418,45],{"className":1419},[89,124],[15,1421,135],{"className":1422,"style":134},[89,93,124],[15,1424,54],{"className":1425,"style":139},[89,93,124],[15,1427,446],{"className":1428},[89],[15,1430,261],{"className":1431},[282],[331,1433,1434,1472],{},[345,1435,1436],{},[15,1437,1439,1457],{"className":1438},[18],[15,1440,1442],{"className":1441},[22],[24,1443,1444],{"xmlns":26},[28,1445,1446,1454],{},[31,1447,1448,1450,1452],{},[37,1449,254],{"mathvariant":253},[207,1451,410],{},[43,1453,261],{"stretchy":260},[68,1455,1456],{"encoding":70},"\\vert 01 \\rangle",[15,1458,1460],{"className":1459,"ariaHidden":76},[75],[15,1461,1463,1466,1469],{"className":1462},[80],[15,1464],{"className":1465,"style":274},[84],[15,1467,461],{"className":1468},[89],[15,1470,261],{"className":1471},[282],[345,1473,1474],{},[15,1475,1477,1507],{"className":1476},[18],[15,1478,1480],{"className":1479},[22],[24,1481,1482],{"xmlns":26},[28,1483,1484,1504],{},[31,1485,1486,1498,1500,1502],{},[34,1487,1488,1490],{},[37,1489,39],{},[31,1491,1492,1494,1496],{},[37,1493,48],{},[37,1495,51],{},[37,1497,54],{},[37,1499,254],{"mathvariant":253},[207,1501,410],{},[43,1503,261],{"stretchy":260},[68,1505,1506],{"encoding":70},"e^{i\\pi\\theta}\\vert 01 \\rangle",[15,1508,1510],{"className":1509,"ariaHidden":76},[75],[15,1511,1513,1516,1551,1554],{"className":1512},[80],[15,1514],{"className":1515,"style":1387},[84],[15,1517,1519,1522],{"className":1518},[89],[15,1520,39],{"className":1521},[89,93],[15,1523,1525],{"className":1524},[97],[15,1526,1528],{"className":1527},[101],[15,1529,1531],{"className":1530},[105],[15,1532,1534],{"className":1533,"style":85},[109],[15,1535,1536,1539],{"style":112},[15,1537],{"className":1538,"style":117},[116],[15,1540,1542],{"className":1541},[121,122,123,124],[15,1543,1545,1548],{"className":1544},[89,124],[15,1546,135],{"className":1547,"style":134},[89,93,124],[15,1549,54],{"className":1550,"style":139},[89,93,124],[15,1552,461],{"className":1553},[89],[15,1555,261],{"className":1556},[282],[331,1558,1559,1597],{},[345,1560,1561],{},[15,1562,1564,1582],{"className":1563},[18],[15,1565,1567],{"className":1566},[22],[24,1568,1569],{"xmlns":26},[28,1570,1571,1579],{},[31,1572,1573,1575,1577],{},[37,1574,254],{"mathvariant":253},[207,1576,419],{},[43,1578,261],{"stretchy":260},[68,1580,1581],{"encoding":70},"\\vert 10 \\rangle",[15,1583,1585],{"className":1584,"ariaHidden":76},[75],[15,1586,1588,1591,1594],{"className":1587},[80],[15,1589],{"className":1590,"style":274},[84],[15,1592,474],{"className":1593},[89],[15,1595,261],{"className":1596},[282],[345,1598,1599],{},[15,1600,1602,1632],{"className":1601},[18],[15,1603,1605],{"className":1604},[22],[24,1606,1607],{"xmlns":26},[28,1608,1609,1629],{},[31,1610,1611,1623,1625,1627],{},[34,1612,1613,1615],{},[37,1614,39],{},[31,1616,1617,1619,1621],{},[37,1618,48],{},[37,1620,51],{},[37,1622,54],{},[37,1624,254],{"mathvariant":253},[207,1626,419],{},[43,1628,261],{"stretchy":260},[68,1630,1631],{"encoding":70},"e^{i\\pi\\theta}\\vert 10 \\rangle",[15,1633,1635],{"className":1634,"ariaHidden":76},[75],[15,1636,1638,1641,1676,1679],{"className":1637},[80],[15,1639],{"className":1640,"style":1387},[84],[15,1642,1644,1647],{"className":1643},[89],[15,1645,39],{"className":1646},[89,93],[15,1648,1650],{"className":1649},[97],[15,1651,1653],{"className":1652},[101],[15,1654,1656],{"className":1655},[105],[15,1657,1659],{"className":1658,"style":85},[109],[15,1660,1661,1664],{"style":112},[15,1662],{"className":1663,"style":117},[116],[15,1665,1667],{"className":1666},[121,122,123,124],[15,1668,1670,1673],{"className":1669},[89,124],[15,1671,135],{"className":1672,"style":134},[89,93,124],[15,1674,54],{"className":1675,"style":139},[89,93,124],[15,1677,474],{"className":1678},[89],[15,1680,261],{"className":1681},[282],[331,1683,1684,1722],{},[345,1685,1686],{},[15,1687,1689,1707],{"className":1688},[18],[15,1690,1692],{"className":1691},[22],[24,1693,1694],{"xmlns":26},[28,1695,1696,1704],{},[31,1697,1698,1700,1702],{},[37,1699,254],{"mathvariant":253},[207,1701,428],{},[43,1703,261],{"stretchy":260},[68,1705,1706],{"encoding":70},"\\vert 11 \\rangle",[15,1708,1710],{"className":1709,"ariaHidden":76},[75],[15,1711,1713,1716,1719],{"className":1712},[80],[15,1714],{"className":1715,"style":274},[84],[15,1717,487],{"className":1718},[89],[15,1720,261],{"className":1721},[282],[345,1723,1724],{},[15,1725,1727,1759],{"className":1726},[18],[15,1728,1730],{"className":1729},[22],[24,1731,1732],{"xmlns":26},[28,1733,1734,1756],{},[31,1735,1736,1750,1752,1754],{},[34,1737,1738,1740],{},[37,1739,39],{},[31,1741,1742,1744,1746,1748],{},[43,1743,45],{},[37,1745,48],{},[37,1747,51],{},[37,1749,54],{},[37,1751,254],{"mathvariant":253},[207,1753,428],{},[43,1755,261],{"stretchy":260},[68,1757,1758],{"encoding":70},"e^{-i\\pi\\theta}\\vert 11 \\rangle",[15,1760,1762],{"className":1761,"ariaHidden":76},[75],[15,1763,1765,1768,1806,1809],{"className":1764},[80],[15,1766],{"className":1767,"style":1387},[84],[15,1769,1771,1774],{"className":1770},[89],[15,1772,39],{"className":1773},[89,93],[15,1775,1777],{"className":1776},[97],[15,1778,1780],{"className":1779},[101],[15,1781,1783],{"className":1782},[105],[15,1784,1786],{"className":1785,"style":85},[109],[15,1787,1788,1791],{"style":112},[15,1789],{"className":1790,"style":117},[116],[15,1792,1794],{"className":1793},[121,122,123,124],[15,1795,1797,1800,1803],{"className":1796},[89,124],[15,1798,45],{"className":1799},[89,124],[15,1801,135],{"className":1802,"style":134},[89,93,124],[15,1804,54],{"className":1805,"style":139},[89,93,124],[15,1807,487],{"className":1808},[89],[15,1810,261],{"className":1811},[282],[11,1813,1814],{},"A measurement straight after ZZ shows no change on any basis state, whatever the angle. The phases show once the qubits are in superposition.",[290,1816,1818],{"id":1817},"inverse","Inverse",[11,1820,1821,1822,1269,1824,319],{},"The inverse of ",[298,1823,1268],{},[298,1825,1826],{},"ZZ(-θ)",[290,1828,1830],{"id":1829},"usage","Usage",[1832,1833,1838],"pre",{"className":1834,"code":1835,"language":1836,"meta":1837,"style":1837},"language-python shiki shiki-themes one-dark-pro","from qiskit import QuantumCircuit\nfrom qiskit_ionq import ZZGate\n\nqc = QuantumCircuit(2, 2)\nqc.append(ZZGate(0.25), [0, 1])\nqc.measure([0, 1], [0, 1])\n","python","",[298,1839,1840,1858,1871,1878,1904,1935],{"__ignoreMap":1837},[15,1841,1844,1848,1852,1855],{"class":1842,"line":1843},"line",1,[15,1845,1847],{"class":1846},"seHd6","from",[15,1849,1851],{"class":1850},"sn6KH"," qiskit ",[15,1853,1854],{"class":1846},"import",[15,1856,1857],{"class":1850}," QuantumCircuit\n",[15,1859,1861,1863,1866,1868],{"class":1842,"line":1860},2,[15,1862,1847],{"class":1846},[15,1864,1865],{"class":1850}," qiskit_ionq ",[15,1867,1854],{"class":1846},[15,1869,1870],{"class":1850}," ZZGate\n",[15,1872,1874],{"class":1842,"line":1873},3,[15,1875,1877],{"emptyLinePlaceholder":1876},true,"\n",[15,1879,1881,1884,1887,1891,1893,1896,1899,1901],{"class":1842,"line":1880},4,[15,1882,1883],{"class":1850},"qc ",[15,1885,522],{"class":1886},"sjrmR",[15,1888,1890],{"class":1889},"sVbv2"," QuantumCircuit",[15,1892,514],{"class":1850},[15,1894,209],{"class":1895},"sVC51",[15,1897,1898],{"class":1850},", ",[15,1900,209],{"class":1895},[15,1902,1903],{"class":1850},")\n",[15,1905,1907,1910,1913,1915,1917,1919,1922,1925,1927,1929,1932],{"class":1842,"line":1906},5,[15,1908,1909],{"class":1850},"qc.",[15,1911,1912],{"class":1889},"append",[15,1914,514],{"class":1850},[15,1916,372],{"class":1889},[15,1918,514],{"class":1850},[15,1920,1921],{"class":1895},"0.25",[15,1923,1924],{"class":1850},"), [",[15,1926,257],{"class":1895},[15,1928,1898],{"class":1850},[15,1930,1931],{"class":1895},"1",[15,1933,1934],{"class":1850},"])\n",[15,1936,1938,1940,1943,1946,1948,1950,1952,1955,1957,1959,1961],{"class":1842,"line":1937},6,[15,1939,1909],{"class":1850},[15,1941,1942],{"class":1889},"measure",[15,1944,1945],{"class":1850},"([",[15,1947,257],{"class":1895},[15,1949,1898],{"class":1850},[15,1951,1931],{"class":1895},[15,1953,1954],{"class":1850},"], [",[15,1956,257],{"class":1895},[15,1958,1898],{"class":1850},[15,1960,1931],{"class":1895},[15,1962,1934],{"class":1850},[1832,1964,1968],{"className":1965,"code":1966,"language":1967,"meta":1837,"style":1837},"language-js shiki shiki-themes one-dark-pro","import { QuantumCircuit } from 'qiskit';\nimport { ZZGate } from 'qiskit_ionq';\n\nconst circuit = QuantumCircuit(2, 2);\ncircuit.append(ZZGate(0.25), [0, 1]);\ncircuit.measure([0, 1], [0, 1]);\n","js",[298,1969,1970,1993,2010,2014,2039,2067],{"__ignoreMap":1837},[15,1971,1972,1974,1977,1981,1984,1986,1990],{"class":1842,"line":1843},[15,1973,1854],{"class":1846},[15,1975,1976],{"class":1850}," { ",[15,1978,1980],{"class":1979},"sVyAn","QuantumCircuit",[15,1982,1983],{"class":1850}," } ",[15,1985,1847],{"class":1846},[15,1987,1989],{"class":1988},"subq3"," 'qiskit'",[15,1991,1992],{"class":1850},";\n",[15,1994,1995,1997,1999,2001,2003,2005,2008],{"class":1842,"line":1860},[15,1996,1854],{"class":1846},[15,1998,1976],{"class":1850},[15,2000,372],{"class":1979},[15,2002,1983],{"class":1850},[15,2004,1847],{"class":1846},[15,2006,2007],{"class":1988}," 'qiskit_ionq'",[15,2009,1992],{"class":1850},[15,2011,2012],{"class":1842,"line":1873},[15,2013,1877],{"emptyLinePlaceholder":1876},[15,2015,2016,2019,2023,2026,2028,2030,2032,2034,2036],{"class":1842,"line":1880},[15,2017,2018],{"class":1846},"const",[15,2020,2022],{"class":2021},"sU0A5"," circuit",[15,2024,2025],{"class":1886}," =",[15,2027,1890],{"class":1889},[15,2029,514],{"class":1850},[15,2031,209],{"class":1895},[15,2033,1898],{"class":1850},[15,2035,209],{"class":1895},[15,2037,2038],{"class":1850},");\n",[15,2040,2041,2044,2046,2048,2050,2052,2054,2056,2058,2060,2062,2064],{"class":1842,"line":1906},[15,2042,2043],{"class":2021},"circuit",[15,2045,319],{"class":1850},[15,2047,1912],{"class":1889},[15,2049,514],{"class":1850},[15,2051,372],{"class":1889},[15,2053,514],{"class":1850},[15,2055,1921],{"class":1895},[15,2057,1924],{"class":1850},[15,2059,257],{"class":1895},[15,2061,1898],{"class":1850},[15,2063,1931],{"class":1895},[15,2065,2066],{"class":1850},"]);\n",[15,2068,2069,2071,2073,2075,2077,2079,2081,2083,2085,2087,2089,2091],{"class":1842,"line":1937},[15,2070,2043],{"class":2021},[15,2072,319],{"class":1850},[15,2074,1942],{"class":1889},[15,2076,1945],{"class":1850},[15,2078,257],{"class":1895},[15,2080,1898],{"class":1850},[15,2082,1931],{"class":1895},[15,2084,1954],{"class":1850},[15,2086,257],{"class":1895},[15,2088,1898],{"class":1850},[15,2090,1931],{"class":1895},[15,2092,2066],{"class":1850},[11,2094,2095,2096,2098],{},"Every 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