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straight after √X, a qubit that started in ",[29,1216,1218,1235],{"className":1217},[32],[29,1219,1221],{"className":1220},[36],[38,1222,1223],{"xmlns":40},[42,1224,1225,1233],{},[45,1226,1227,1229,1231],{},[48,1228,51],{"mathvariant":50},[53,1230,55],{},[57,1232,60],{"stretchy":59},[62,1234,65],{"encoding":64},[29,1236,1238],{"className":1237,"ariaHidden":70},[69],[29,1239,1241,1244,1247],{"className":1240},[74],[29,1242],{"className":1243,"style":79},[78],[29,1245,84],{"className":1246},[83],[29,1248,60],{"className":1249},[88]," or ",[29,1252,1254,1271],{"className":1253},[32],[29,1255,1257],{"className":1256},[36],[38,1258,1259],{"xmlns":40},[42,1260,1261,1269],{},[45,1262,1263,1265,1267],{},[48,1264,51],{"mathvariant":50},[53,1266,195],{},[57,1268,60],{"stretchy":59},[62,1270,963],{"encoding":64},[29,1272,1274],{"className":1273,"ariaHidden":70},[69],[29,1275,1277,1280,1283],{"className":1276},[74],[29,1278],{"className":1279,"style":79},[78],[29,1281,929],{"className":1282},[83],[29,1284,60],{"className":1285},[88]," reads 0 or 1 with equal probability, the same split as after an ",[15,1288,1290],{"href":1289},"\u002Flearn\u002Fdocs\u002Fh-gate","H gate"," but with different phases.",[96,1293,1295],{"id":1294},"inverse","Inverse",[11,1297,1298,1299,1303,1304,1307],{},"The inverse of √X is ",[15,1300,1302],{"href":1301},"\u002Flearn\u002Fdocs\u002Fsxdg-gate","√X†",", ",[127,1305,1306],{},"sxdg(qubit)",". √X is not its own inverse: two of them make an X.",[96,1309,1311],{"id":1310},"usage","Usage",[1313,1314,1319],"pre",{"className":1315,"code":1316,"language":1317,"meta":1318,"style":1318},"language-python shiki shiki-themes one-dark-pro","from qiskit import QuantumCircuit\n\nqc = QuantumCircuit(1, 1)\nqc.sx(0)\nqc.sx(0)\nqc.measure(0, 0)\n","python","",[127,1320,1321,1339,1346,1371,1386,1399],{"__ignoreMap":1318},[29,1322,1325,1329,1333,1336],{"class":1323,"line":1324},"line",1,[29,1326,1328],{"class":1327},"seHd6","from",[29,1330,1332],{"class":1331},"sn6KH"," qiskit ",[29,1334,1335],{"class":1327},"import",[29,1337,1338],{"class":1331}," QuantumCircuit\n",[29,1340,1342],{"class":1323,"line":1341},2,[29,1343,1345],{"emptyLinePlaceholder":1344},true,"\n",[29,1347,1349,1352,1355,1359,1361,1364,1366,1368],{"class":1323,"line":1348},3,[29,1350,1351],{"class":1331},"qc ",[29,1353,189],{"class":1354},"sjrmR",[29,1356,1358],{"class":1357},"sVbv2"," QuantumCircuit",[29,1360,203],{"class":1331},[29,1362,195],{"class":1363},"sVC51",[29,1365,1303],{"class":1331},[29,1367,195],{"class":1363},[29,1369,1370],{"class":1331},")\n",[29,1372,1374,1377,1380,1382,1384],{"class":1323,"line":1373},4,[29,1375,1376],{"class":1331},"qc.",[29,1378,1379],{"class":1357},"sx",[29,1381,203],{"class":1331},[29,1383,55],{"class":1363},[29,1385,1370],{"class":1331},[29,1387,1389,1391,1393,1395,1397],{"class":1323,"line":1388},5,[29,1390,1376],{"class":1331},[29,1392,1379],{"class":1357},[29,1394,203],{"class":1331},[29,1396,55],{"class":1363},[29,1398,1370],{"class":1331},[29,1400,1402,1404,1407,1409,1411,1413,1415],{"class":1323,"line":1401},6,[29,1403,1376],{"class":1331},[29,1405,1406],{"class":1357},"measure",[29,1408,203],{"class":1331},[29,1410,55],{"class":1363},[29,1412,1303],{"class":1331},[29,1414,55],{"class":1363},[29,1416,1370],{"class":1331},[1313,1418,1422],{"className":1419,"code":1420,"language":1421,"meta":1318,"style":1318},"language-js shiki shiki-themes one-dark-pro","import { QuantumCircuit } from 'qiskit';\n\nconst circuit = QuantumCircuit(1, 1);\ncircuit.sx(0);\ncircuit.sx(0);\ncircuit.measure(0, 0);\n","js",[127,1423,1424,1447,1451,1476,1492,1506],{"__ignoreMap":1318},[29,1425,1426,1428,1431,1435,1438,1440,1444],{"class":1323,"line":1324},[29,1427,1335],{"class":1327},[29,1429,1430],{"class":1331}," { ",[29,1432,1434],{"class":1433},"sVyAn","QuantumCircuit",[29,1436,1437],{"class":1331}," } ",[29,1439,1328],{"class":1327},[29,1441,1443],{"class":1442},"subq3"," 'qiskit'",[29,1445,1446],{"class":1331},";\n",[29,1448,1449],{"class":1323,"line":1341},[29,1450,1345],{"emptyLinePlaceholder":1344},[29,1452,1453,1456,1460,1463,1465,1467,1469,1471,1473],{"class":1323,"line":1348},[29,1454,1455],{"class":1327},"const",[29,1457,1459],{"class":1458},"sU0A5"," circuit",[29,1461,1462],{"class":1354}," =",[29,1464,1358],{"class":1357},[29,1466,203],{"class":1331},[29,1468,195],{"class":1363},[29,1470,1303],{"class":1331},[29,1472,195],{"class":1363},[29,1474,1475],{"class":1331},");\n",[29,1477,1478,1481,1484,1486,1488,1490],{"class":1323,"line":1373},[29,1479,1480],{"class":1458},"circuit",[29,1482,1483],{"class":1331},".",[29,1485,1379],{"class":1357},[29,1487,203],{"class":1331},[29,1489,55],{"class":1363},[29,1491,1475],{"class":1331},[29,1493,1494,1496,1498,1500,1502,1504],{"class":1323,"line":1388},[29,1495,1480],{"class":1458},[29,1497,1483],{"class":1331},[29,1499,1379],{"class":1357},[29,1501,203],{"class":1331},[29,1503,55],{"class":1363},[29,1505,1475],{"class":1331},[29,1507,1508,1510,1512,1514,1516,1518,1520,1522],{"class":1323,"line":1401},[29,1509,1480],{"class":1458},[29,1511,1483],{"class":1331},[29,1513,1406],{"class":1357},[29,1515,203],{"class":1331},[29,1517,55],{"class":1363},[29,1519,1303],{"class":1331},[29,1521,55],{"class":1363},[29,1523,1475],{"class":1331},[11,1525,1526,1527,1529],{},"Every shot reads ",[127,1528,195],{},": the two half-flips make one full flip.",[96,1531,1533],{"id":1532},"on-ionq-hardware","On IonQ hardware",[11,1535,1536,1537,1540,1541,1483],{},"√X is ",[127,1538,1539],{},"GPi2(0)"," up to a global phase, a native gate, so it costs one physical pulse. See ",[15,1542,1544],{"href":1543},"\u002Flearn\u002Fdocs\u002Fhow-your-circuit-is-compiled","How your circuit is compiled",[96,1546,1548],{"id":1547},"related","Related",[1550,1551,1552,1558,1562,1568,1574],"ul",{},[1553,1554,1555],"li",{},[15,1556,1557],{"href":1301},"√X† gate",[1553,1559,1560],{},[15,1561,18],{"href":17},[1553,1563,1564],{},[15,1565,1567],{"href":1566},"\u002Flearn\u002Fdocs\u002Frx-gate","RX gate",[1553,1569,1570],{},[15,1571,1573],{"href":1572},"\u002Flearn\u002Fdocs\u002Fgpi2-gate","GPi2 gate",[1553,1575,1576],{},[15,1577,1579],{"href":1578},"\u002Flearn\u002Fdocs\u002Fgates","Gate reference",[1581,1582,1583],"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 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