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",[15,1204,1206,1223],{"className":1205},[18],[15,1207,1209],{"className":1208},[22],[24,1210,1211],{"xmlns":26},[28,1212,1213,1221],{},[31,1214,1215,1217,1219],{},[34,1216,37],{"mathvariant":36},[39,1218,41],{},[43,1220,46],{"stretchy":45},[48,1222,51],{"encoding":50},[15,1224,1226],{"className":1225,"ariaHidden":56},[55],[15,1227,1229,1232,1235],{"className":1228},[60],[15,1230],{"className":1231,"style":65},[64],[15,1233,70],{"className":1234},[69],[15,1236,46],{"className":1237},[74],[262,1239,1241],{"id":1240},"inverse","Inverse",[11,1243,1244,1245,1249,1250,621],{},"The inverse of T is ",[256,1246,1248],{"href":1247},"\u002Flearn\u002Fdocs\u002Ftdg-gate","Tdg",", ",[293,1251,1252],{},"tdg(qubit)",[262,1254,1256],{"id":1255},"usage","Usage",[1258,1259,1264],"pre",{"className":1260,"code":1261,"language":1262,"meta":1263,"style":1263},"language-python shiki shiki-themes one-dark-pro","from qiskit import QuantumCircuit\n\nqc = QuantumCircuit(1, 1)\nqc.h(0)\nfor _ in range(4):\n    qc.t(0)\nqc.h(0)\nqc.measure(0, 0)\n","python","",[293,1265,1266,1284,1291,1316,1331,1353,1368,1381],{"__ignoreMap":1263},[15,1267,1270,1274,1278,1281],{"class":1268,"line":1269},"line",1,[15,1271,1273],{"class":1272},"seHd6","from",[15,1275,1277],{"class":1276},"sn6KH"," qiskit ",[15,1279,1280],{"class":1272},"import",[15,1282,1283],{"class":1276}," QuantumCircuit\n",[15,1285,1287],{"class":1268,"line":1286},2,[15,1288,1290],{"emptyLinePlaceholder":1289},true,"\n",[15,1292,1294,1297,1300,1304,1306,1309,1311,1313],{"class":1268,"line":1293},3,[15,1295,1296],{"class":1276},"qc ",[15,1298,341],{"class":1299},"sjrmR",[15,1301,1303],{"class":1302},"sVbv2"," QuantumCircuit",[15,1305,346],{"class":1276},[15,1307,41],{"class":1308},"sVC51",[15,1310,1249],{"class":1276},[15,1312,41],{"class":1308},[15,1314,1315],{"class":1276},")\n",[15,1317,1319,1322,1325,1327,1329],{"class":1268,"line":1318},4,[15,1320,1321],{"class":1276},"qc.",[15,1323,1324],{"class":1302},"h",[15,1326,346],{"class":1276},[15,1328,188],{"class":1308},[15,1330,1315],{"class":1276},[15,1332,1334,1337,1340,1343,1346,1348,1350],{"class":1268,"line":1333},5,[15,1335,1336],{"class":1272},"for",[15,1338,1339],{"class":1276}," _ ",[15,1341,1342],{"class":1272},"in",[15,1344,1345],{"class":1299}," range",[15,1347,346],{"class":1276},[15,1349,107],{"class":1308},[15,1351,1352],{"class":1276},"):\n",[15,1354,1356,1359,1362,1364,1366],{"class":1268,"line":1355},6,[15,1357,1358],{"class":1276},"    qc.",[15,1360,1361],{"class":1302},"t",[15,1363,346],{"class":1276},[15,1365,188],{"class":1308},[15,1367,1315],{"class":1276},[15,1369,1371,1373,1375,1377,1379],{"class":1268,"line":1370},7,[15,1372,1321],{"class":1276},[15,1374,1324],{"class":1302},[15,1376,346],{"class":1276},[15,1378,188],{"class":1308},[15,1380,1315],{"class":1276},[15,1382,1384,1386,1389,1391,1393,1395,1397],{"class":1268,"line":1383},8,[15,1385,1321],{"class":1276},[15,1387,1388],{"class":1302},"measure",[15,1390,346],{"class":1276},[15,1392,188],{"class":1308},[15,1394,1249],{"class":1276},[15,1396,188],{"class":1308},[15,1398,1315],{"class":1276},[1258,1400,1404],{"className":1401,"code":1402,"language":1403,"meta":1263,"style":1263},"language-js shiki shiki-themes one-dark-pro","import { QuantumCircuit } from 'qiskit';\n\nconst circuit = QuantumCircuit(1, 1);\ncircuit.h(0);\nfor (let i = 0; i \u003C 4; i++) circuit.t(0);\ncircuit.h(0);\ncircuit.measure(0, 0);\n","js",[293,1405,1406,1429,1433,1458,1473,1524,1538],{"__ignoreMap":1263},[15,1407,1408,1410,1413,1417,1420,1422,1426],{"class":1268,"line":1269},[15,1409,1280],{"class":1272},[15,1411,1412],{"class":1276}," { ",[15,1414,1416],{"class":1415},"sVyAn","QuantumCircuit",[15,1418,1419],{"class":1276}," } ",[15,1421,1273],{"class":1272},[15,1423,1425],{"class":1424},"subq3"," 'qiskit'",[15,1427,1428],{"class":1276},";\n",[15,1430,1431],{"class":1268,"line":1286},[15,1432,1290],{"emptyLinePlaceholder":1289},[15,1434,1435,1438,1442,1445,1447,1449,1451,1453,1455],{"class":1268,"line":1293},[15,1436,1437],{"class":1272},"const",[15,1439,1441],{"class":1440},"sU0A5"," circuit",[15,1443,1444],{"class":1299}," =",[15,1446,1303],{"class":1302},[15,1448,346],{"class":1276},[15,1450,41],{"class":1308},[15,1452,1249],{"class":1276},[15,1454,41],{"class":1308},[15,1456,1457],{"class":1276},");\n",[15,1459,1460,1463,1465,1467,1469,1471],{"class":1268,"line":1318},[15,1461,1462],{"class":1440},"circuit",[15,1464,621],{"class":1276},[15,1466,1324],{"class":1302},[15,1468,346],{"class":1276},[15,1470,188],{"class":1308},[15,1472,1457],{"class":1276},[15,1474,1475,1477,1480,1483,1486,1488,1491,1494,1496,1499,1502,1504,1506,1509,1512,1514,1516,1518,1520,1522],{"class":1268,"line":1333},[15,1476,1336],{"class":1272},[15,1478,1479],{"class":1276}," (",[15,1481,1482],{"class":1272},"let",[15,1484,1485],{"class":1415}," i",[15,1487,1444],{"class":1299},[15,1489,1490],{"class":1308}," 0",[15,1492,1493],{"class":1276},"; ",[15,1495,98],{"class":1415},[15,1497,1498],{"class":1299}," \u003C",[15,1500,1501],{"class":1308}," 4",[15,1503,1493],{"class":1276},[15,1505,98],{"class":1415},[15,1507,1508],{"class":1299},"++",[15,1510,1511],{"class":1276},") ",[15,1513,1462],{"class":1440},[15,1515,621],{"class":1276},[15,1517,1361],{"class":1302},[15,1519,346],{"class":1276},[15,1521,188],{"class":1308},[15,1523,1457],{"class":1276},[15,1525,1526,1528,1530,1532,1534,1536],{"class":1268,"line":1355},[15,1527,1462],{"class":1440},[15,1529,621],{"class":1276},[15,1531,1324],{"class":1302},[15,1533,346],{"class":1276},[15,1535,188],{"class":1308},[15,1537,1457],{"class":1276},[15,1539,1540,1542,1544,1546,1548,1550,1552,1554],{"class":1268,"line":1370},[15,1541,1462],{"class":1440},[15,1543,621],{"class":1276},[15,1545,1388],{"class":1302},[15,1547,346],{"class":1276},[15,1549,188],{"class":1308},[15,1551,1249],{"class":1276},[15,1553,188],{"class":1308},[15,1555,1457],{"class":1276},[11,1557,1558,1559,1561],{},"Every shot reads ",[293,1560,41],{},": four T gates make a Z, and H Z H is an X.",[262,1563,1565],{"id":1564},"on-ionq-hardware","On IonQ hardware",[11,1567,1568,1569,621],{},"T is a virtual Z. The compiler folds the eighth-turn into the phase of the next pulse, so it costs no gate and no time on the machine. See ",[256,1570,1572],{"href":1571},"\u002Flearn\u002Fdocs\u002Fhow-your-circuit-is-compiled","How your circuit is compiled",[262,1574,1576],{"id":1575},"related","Related",[1578,1579,1580,1586,1591,1595],"ul",{},[1581,1582,1583],"li",{},[256,1584,1585],{"href":1247},"Tdg gate",[1581,1587,1588],{},[256,1589,1590],{"href":605},"S gate",[1581,1592,1593],{},[256,1594,620],{"href":619},[1581,1596,1597],{},[256,1598,1600],{"href":1599},"\u002Flearn\u002Fdocs\u002Fgates","Gate reference",[1602,1603,1604],"style",{},"html pre.shiki code .seHd6, html code.shiki .seHd6{--shiki-default:#C678DD}html pre.shiki code .sn6KH, html code.shiki .sn6KH{--shiki-default:#ABB2BF}html pre.shiki code .sjrmR, html code.shiki .sjrmR{--shiki-default:#56B6C2}html pre.shiki code .sVbv2, html code.shiki .sVbv2{--shiki-default:#61AFEF}html pre.shiki code .sVC51, html code.shiki .sVC51{--shiki-default:#D19A66}html .default .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: 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