[{"data":1,"prerenderedAt":2778},["ShallowReactive",2],{"blog-post-docs\u002Frxx-gate":3,"sibling-dives-docs\u002Frxx-gate":2618,"learn-track-docs\u002Frxx-gate":2619,"learn-docs-groups":2620},{"id":4,"title":5,"authors":6,"body":7,"breadcrumb":6,"builders":6,"byline":6,"category":2599,"categoryName":2600,"challenge":6,"courseAuthor":6,"courseLead":6,"dek":6,"description":2601,"draft":2602,"extension":2603,"eyebrow":6,"featured":2602,"finish":6,"fork":6,"group":2604,"groupName":2605,"hero":6,"heroAlt":6,"heroCta":6,"heroImage":6,"homepageFeatured":2602,"kind":2606,"lessonCount":6,"meta":2607,"navigation":2307,"newsItems":6,"next":6,"ogImage":6,"order":2608,"outcomes":6,"path":2609,"publishDate":2610,"readingTime":6,"related":2611,"relatedProjects":6,"seo":2612,"stem":2615,"tags":2616,"track":6,"trackName":6,"__hash__":2617},"blog\u002Fblog\u002Flearn\u002Fdocs\u002Frxx-gate.md","RXX gate",null,{"type":8,"value":9,"toc":2590},"minimark",[10,228,280,285,335,339,742,1384,1570,1574,2076,2244,2248,2258,2262,2392,2512,2521,2525,2550,2554,2586],[11,12,13,14,90,91,123,124,152,153,157,158,227],"p",{},"The RXX gate rotates a pair of qubits together about the ",[15,16,19,48],"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",[28,29,30,43],"semantics",{},[31,32,33,37,41],"mrow",{},[34,35,36],"mi",{},"X",[38,39,40],"mo",{},"⊗",[34,42,36],{},[44,45,47],"annotation",{"encoding":46},"application\u002Fx-tex","X \\otimes X",[15,49,53,80],{"className":50,"ariaHidden":52},[51],"katex-html","true",[15,54,57,62,68,73,77],{"className":55},[56],"base",[15,58],{"className":59,"style":61},[60],"strut","height:0.7667em;vertical-align:-0.0833em;",[15,63,36],{"className":64,"style":67},[65,66],"mord","mathnormal","margin-right:0.0785em;",[15,69],{"className":70,"style":72},[71],"mspace","margin-right:0.2222em;",[15,74,40],{"className":75},[76],"mbin",[15,78],{"className":79,"style":72},[71],[15,81,83,87],{"className":82},[56],[15,84],{"className":85,"style":86},[60],"height:0.6833em;",[15,88,36],{"className":89,"style":67},[65,66]," axis by an angle ",[15,92,94,109],{"className":93},[18],[15,95,97],{"className":96},[22],[24,98,99],{"xmlns":26},[28,100,101,106],{},[31,102,103],{},[34,104,105],{},"θ",[44,107,108],{"encoding":46},"\\theta",[15,110,112],{"className":111,"ariaHidden":52},[51],[15,113,115,119],{"className":114},[56],[15,116],{"className":117,"style":118},[60],"height:0.6944em;",[15,120,105],{"className":121,"style":122},[65,66],"margin-right:0.0278em;",". It acts on two qubits and takes one parameter, ",[15,125,127,140],{"className":126},[18],[15,128,130],{"className":129},[22],[24,131,132],{"xmlns":26},[28,133,134,138],{},[31,135,136],{},[34,137,105],{},[44,139,108],{"encoding":46},[15,141,143],{"className":142,"ariaHidden":52},[51],[15,144,146,149],{"className":145},[56],[15,147],{"className":148,"style":118},[60],[15,150,105],{"className":151,"style":122},[65,66]," in radians. The two qubits are interchangeable. The Circuit panel draws an ",[154,155,156],"strong",{},"Xx(θ)"," box on each wire, with the angle shown as a multiple of π. At ",[15,159,161,189],{"className":160},[18],[15,162,164],{"className":163},[22],[24,165,166],{"xmlns":26},[28,167,168,186],{},[31,169,170,172,175,178,182],{},[34,171,105],{},[38,173,174],{},"=",[34,176,177],{},"π",[34,179,181],{"mathvariant":180},"normal","\u002F",[183,184,185],"mn",{},"2",[44,187,188],{"encoding":46},"\\theta = \\pi\u002F2",[15,190,192,212],{"className":191,"ariaHidden":52},[51],[15,193,195,198,201,205,209],{"className":194},[56],[15,196],{"className":197,"style":118},[60],[15,199,105],{"className":200,"style":122},[65,66],[15,202],{"className":203,"style":204},[71],"margin-right:0.2778em;",[15,206,174],{"className":207},[208],"mrel",[15,210],{"className":211,"style":204},[71],[15,213,215,219,223],{"className":214},[56],[15,216],{"className":217,"style":218},[60],"height:1em;vertical-align:-0.25em;",[15,220,177],{"className":221,"style":222},[65,66],"margin-right:0.0359em;",[15,224,226],{"className":225},[65],"\u002F2"," on two fresh qubits, the pair reads 00 or 11 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is ",[15,1388,1390,1426],{"className":1389},[18],[15,1391,1393],{"className":1392},[22],[24,1394,1395],{"xmlns":26},[28,1396,1397,1423],{},[31,1398,1399],{},[1400,1401,1402,1405],"msup",{},[34,1403,1404],{},"e",[31,1406,1407,1409,1411,1417,1419,1421],{},[38,1408,817],{},[34,1410,820],{},[474,1412,1413,1415],{},[34,1414,105],{},[183,1416,185],{},[34,1418,36],{},[38,1420,40],{},[34,1422,36],{},[44,1424,1425],{"encoding":46},"e^{-i\\frac{\\theta}{2} X \\otimes 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It is an ",[275,1561,1563],{"href":1562},"\u002Flearn\u002Fdocs\u002Frzz-gate","RZZ gate"," of the same angle with an ",[275,1566,1568],{"href":1567},"\u002Flearn\u002Fdocs\u002Fh-gate","H gate"," on both qubits before and after.",[281,1571,1573],{"id":1572},"effect-on-basis-states","Effect on basis states",[286,1575,1576,1586],{},[289,1577,1578],{},[292,1579,1580,1583],{},[295,1581,1582],{},"Input",[295,1584,1585],{},"Output",[301,1587,1588,1710,1832,1954],{},[292,1589,1590,1628],{},[306,1591,1592],{},[15,1593,1595,1613],{"className":1594},[18],[15,1596,1598],{"className":1597},[22],[24,1599,1600],{"xmlns":26},[28,1601,1602,1610],{},[31,1603,1604,1606,1608],{},[34,1605,245],{"mathvariant":180},[183,1607,358],{},[38,1609,252],{"stretchy":251},[44,1611,1612],{"encoding":46},"\\vert 00 \\rangle",[15,1614,1616],{"className":1615,"ariaHidden":52},[51],[15,1617,1619,1622,1625],{"className":1618},[56],[15,1620],{"className":1621,"style":218},[60],[15,1623,404],{"className":1624},[65],[15,1626,252],{"className":1627},[272],[306,1629,1630],{},[15,1631,1633,1665],{"className":1632},[18],[15,1634,1636],{"className":1635},[22],[24,1637,1638],{"xmlns":26},[28,1639,1640,1662],{},[31,1641,1642,1644,1646,1648,1650,1652,1654,1656,1658,1660],{},[34,1643,464],{},[34,1645,245],{"mathvariant":180},[183,1647,358],{},[38,1649,252],{"stretchy":251},[38,1651,817],{},[34,1653,820],{},[34,1655,623],{},[34,1657,245],{"mathvariant":180},[183,1659,386],{},[38,1661,252],{"stretchy":251},[44,1663,1664],{"encoding":46},"c\\vert 00 \\rangle - is\\vert 11 \\rangle",[15,1666,1668,1692],{"className":1667,"ariaHidden":52},[51],[15,1669,1671,1674,1677,1680,1683,1686,1689],{"className":1670},[56],[15,1672],{"className":1673,"style":218},[60],[15,1675,464],{"className":1676},[65,66],[15,1678,404],{"className":1679},[65],[15,1681,252],{"className":1682},[272],[15,1684],{"className":1685,"style":72},[71],[15,1687,817],{"className":1688},[76],[15,1690],{"className":1691,"style":72},[71],[15,1693,1695,1698,1701,1704,1707],{"className":1694},[56],[15,1696],{"className":1697,"style":218},[60],[15,1699,820],{"className":1700},[65,66],[15,1702,623],{"className":1703},[65,66],[15,1705,445],{"className":1706},[65],[15,1708,252],{"className":1709},[272],[292,1711,1712,1750],{},[306,1713,1714],{},[15,1715,1717,1735],{"className":1716},[18],[15,1718,1720],{"className":1719},[22],[24,1721,1722],{"xmlns":26},[28,1723,1724,1732],{},[31,1725,1726,1728,1730],{},[34,1727,245],{"mathvariant":180},[183,1729,368],{},[38,1731,252],{"stretchy":251},[44,1733,1734],{"encoding":46},"\\vert 01 \\rangle",[15,1736,1738],{"className":1737,"ariaHidden":52},[51],[15,1739,1741,1744,1747],{"className":1740},[56],[15,1742],{"className":1743,"style":218},[60],[15,1745,419],{"className":1746},[65],[15,1748,252],{"className":1749},[272],[306,1751,1752],{},[15,1753,1755,1787],{"className":1754},[18],[15,1756,1758],{"className":1757},[22],[24,1759,1760],{"xmlns":26},[28,1761,1762,1784],{},[31,1763,1764,1766,1768,1770,1772,1774,1776,1778,1780,1782],{},[34,1765,464],{},[34,1767,245],{"mathvariant":180},[183,1769,368],{},[38,1771,252],{"stretchy":251},[38,1773,817],{},[34,1775,820],{},[34,1777,623],{},[34,1779,245],{"mathvariant":180},[183,1781,377],{},[38,1783,252],{"stretchy":251},[44,1785,1786],{"encoding":46},"c\\vert 01 \\rangle - is\\vert 10 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10 \\rangle",[15,1858,1860],{"className":1859,"ariaHidden":52},[51],[15,1861,1863,1866,1869],{"className":1862},[56],[15,1864],{"className":1865,"style":218},[60],[15,1867,432],{"className":1868},[65],[15,1870,252],{"className":1871},[272],[306,1873,1874],{},[15,1875,1877,1909],{"className":1876},[18],[15,1878,1880],{"className":1879},[22],[24,1881,1882],{"xmlns":26},[28,1883,1884,1906],{},[31,1885,1886,1888,1890,1892,1894,1896,1898,1900,1902,1904],{},[34,1887,464],{},[34,1889,245],{"mathvariant":180},[183,1891,377],{},[38,1893,252],{"stretchy":251},[38,1895,817],{},[34,1897,820],{},[34,1899,623],{},[34,1901,245],{"mathvariant":180},[183,1903,368],{},[38,1905,252],{"stretchy":251},[44,1907,1908],{"encoding":46},"c\\vert 10 \\rangle - is\\vert 01 \\rangle",[15,1910,1912,1936],{"className":1911,"ariaHidden":52},[51],[15,1913,1915,1918,1921,1924,1927,1930,1933],{"className":1914},[56],[15,1916],{"className":1917,"style":218},[60],[15,1919,464],{"className":1920},[65,66],[15,1922,432],{"className":1923},[65],[15,1925,252],{"className":1926},[272],[15,1928],{"className":1929,"style":72},[71],[15,1931,817],{"className":1932},[76],[15,1934],{"className":1935,"style":72},[71],[15,1937,1939,1942,1945,1948,1951],{"className":1938},[56],[15,1940],{"className":1941,"style":218},[60],[15,1943,820],{"className":1944},[65,66],[15,1946,623],{"className":1947},[65,66],[15,1949,419],{"className":1950},[65],[15,1952,252],{"className":1953},[272],[292,1955,1956,1994],{},[306,1957,1958],{},[15,1959,1961,1979],{"className":1960},[18],[15,1962,1964],{"className":1963},[22],[24,1965,1966],{"xmlns":26},[28,1967,1968,1976],{},[31,1969,1970,1972,1974],{},[34,1971,245],{"mathvariant":180},[183,1973,386],{},[38,1975,252],{"stretchy":251},[44,1977,1978],{"encoding":46},"\\vert 11 \\rangle",[15,1980,1982],{"className":1981,"ariaHidden":52},[51],[15,1983,1985,1988,1991],{"className":1984},[56],[15,1986],{"className":1987,"style":218},[60],[15,1989,445],{"className":1990},[65],[15,1992,252],{"className":1993},[272],[306,1995,1996],{},[15,1997,1999,2031],{"className":1998},[18],[15,2000,2002],{"className":2001},[22],[24,2003,2004],{"xmlns":26},[28,2005,2006,2028],{},[31,2007,2008,2010,2012,2014,2016,2018,2020,2022,2024,2026],{},[34,2009,464],{},[34,2011,245],{"mathvariant":180},[183,2013,386],{},[38,2015,252],{"stretchy":251},[38,2017,817],{},[34,2019,820],{},[34,2021,623],{},[34,2023,245],{"mathvariant":180},[183,2025,358],{},[38,2027,252],{"stretchy":251},[44,2029,2030],{"encoding":46},"c\\vert 11 \\rangle - is\\vert 00 \\rangle",[15,2032,2034,2058],{"className":2033,"ariaHidden":52},[51],[15,2035,2037,2040,2043,2046,2049,2052,2055],{"className":2036},[56],[15,2038],{"className":2039,"style":218},[60],[15,2041,464],{"className":2042},[65,66],[15,2044,445],{"className":2045},[65],[15,2047,252],{"className":2048},[272],[15,2050],{"className":2051,"style":72},[71],[15,2053,817],{"className":2054},[76],[15,2056],{"className":2057,"style":72},[71],[15,2059,2061,2064,2067,2070,2073],{"className":2060},[56],[15,2062],{"className":2063,"style":218},[60],[15,2065,820],{"className":2066},[65,66],[15,2068,623],{"className":2069},[65,66],[15,2071,404],{"className":2072},[65],[15,2074,252],{"className":2075},[272],[11,2077,2078,2079,2136,2137,2172,2173,608,2208,2243],{},"At ",[15,2080,2082,2103],{"className":2081},[18],[15,2083,2085],{"className":2084},[22],[24,2086,2087],{"xmlns":26},[28,2088,2089,2101],{},[31,2090,2091,2093,2095,2097,2099],{},[34,2092,105],{},[38,2094,174],{},[34,2096,177],{},[34,2098,181],{"mathvariant":180},[183,2100,185],{},[44,2102,188],{"encoding":46},[15,2104,2106,2124],{"className":2105,"ariaHidden":52},[51],[15,2107,2109,2112,2115,2118,2121],{"className":2108},[56],[15,2110],{"className":2111,"style":118},[60],[15,2113,105],{"className":2114,"style":122},[65,66],[15,2116],{"className":2117,"style":204},[71],[15,2119,174],{"className":2120},[208],[15,2122],{"className":2123,"style":204},[71],[15,2125,2127,2130,2133],{"className":2126},[56],[15,2128],{"className":2129,"style":218},[60],[15,2131,177],{"className":2132,"style":222},[65,66],[15,2134,226],{"className":2135},[65]," the gate is fully entangling: from ",[15,2138,2140,2157],{"className":2139},[18],[15,2141,2143],{"className":2142},[22],[24,2144,2145],{"xmlns":26},[28,2146,2147,2155],{},[31,2148,2149,2151,2153],{},[34,2150,245],{"mathvariant":180},[183,2152,358],{},[38,2154,252],{"stretchy":251},[44,2156,1612],{"encoding":46},[15,2158,2160],{"className":2159,"ariaHidden":52},[51],[15,2161,2163,2166,2169],{"className":2162},[56],[15,2164],{"className":2165,"style":218},[60],[15,2167,404],{"className":2168},[65],[15,2170,252],{"className":2171},[272]," it produces an equal superposition of ",[15,2174,2176,2193],{"className":2175},[18],[15,2177,2179],{"className":2178},[22],[24,2180,2181],{"xmlns":26},[28,2182,2183,2191],{},[31,2184,2185,2187,2189],{},[34,2186,245],{"mathvariant":180},[183,2188,358],{},[38,2190,252],{"stretchy":251},[44,2192,1612],{"encoding":46},[15,2194,2196],{"className":2195,"ariaHidden":52},[51],[15,2197,2199,2202,2205],{"className":2198},[56],[15,2200],{"className":2201,"style":218},[60],[15,2203,404],{"className":2204},[65],[15,2206,252],{"className":2207},[272],[15,2209,2211,2228],{"className":2210},[18],[15,2212,2214],{"className":2213},[22],[24,2215,2216],{"xmlns":26},[28,2217,2218,2226],{},[31,2219,2220,2222,2224],{},[34,2221,245],{"mathvariant":180},[183,2223,386],{},[38,2225,252],{"stretchy":251},[44,2227,1978],{"encoding":46},[15,2229,2231],{"className":2230,"ariaHidden":52},[51],[15,2232,2234,2237,2240],{"className":2233},[56],[15,2235],{"className":2236,"style":218},[60],[15,2238,445],{"className":2239},[65],[15,2241,252],{"className":2242},[272],", a Bell state up to a phase.",[281,2245,2247],{"id":2246},"inverse","Inverse",[11,2249,2250,2251,2254,2255,741],{},"The inverse of ",[312,2252,2253],{},"rxx(θ)"," is ",[312,2256,2257],{},"rxx(-θ)",[281,2259,2261],{"id":2260},"usage","Usage",[2263,2264,2269],"pre",{"className":2265,"code":2266,"language":2267,"meta":2268,"style":2268},"language-python shiki shiki-themes one-dark-pro","from math import pi\nfrom qiskit import QuantumCircuit\n\nqc = QuantumCircuit(2, 2)\nqc.rxx(pi \u002F 2, 0, 1)\nqc.measure([0, 1], [0, 1])\n","python","",[312,2270,2271,2289,2302,2309,2335,2363],{"__ignoreMap":2268},[15,2272,2275,2279,2283,2286],{"class":2273,"line":2274},"line",1,[15,2276,2278],{"class":2277},"seHd6","from",[15,2280,2282],{"class":2281},"sn6KH"," math ",[15,2284,2285],{"class":2277},"import",[15,2287,2288],{"class":2281}," pi\n",[15,2290,2292,2294,2297,2299],{"class":2273,"line":2291},2,[15,2293,2278],{"class":2277},[15,2295,2296],{"class":2281}," qiskit ",[15,2298,2285],{"class":2277},[15,2300,2301],{"class":2281}," QuantumCircuit\n",[15,2303,2305],{"class":2273,"line":2304},3,[15,2306,2308],{"emptyLinePlaceholder":2307},true,"\n",[15,2310,2312,2315,2318,2322,2324,2327,2330,2332],{"class":2273,"line":2311},4,[15,2313,2314],{"class":2281},"qc ",[15,2316,174],{"class":2317},"sjrmR",[15,2319,2321],{"class":2320},"sVbv2"," QuantumCircuit",[15,2323,768],{"class":2281},[15,2325,185],{"class":2326},"sVC51",[15,2328,2329],{"class":2281},", ",[15,2331,185],{"class":2326},[15,2333,2334],{"class":2281},")\n",[15,2336,2338,2341,2344,2347,2349,2352,2354,2356,2358,2361],{"class":2273,"line":2337},5,[15,2339,2340],{"class":2281},"qc.",[15,2342,2343],{"class":2320},"rxx",[15,2345,2346],{"class":2281},"(pi ",[15,2348,181],{"class":2317},[15,2350,2351],{"class":2326}," 2",[15,2353,2329],{"class":2281},[15,2355,248],{"class":2326},[15,2357,2329],{"class":2281},[15,2359,2360],{"class":2326},"1",[15,2362,2334],{"class":2281},[15,2364,2366,2368,2371,2374,2376,2378,2380,2383,2385,2387,2389],{"class":2273,"line":2365},6,[15,2367,2340],{"class":2281},[15,2369,2370],{"class":2320},"measure",[15,2372,2373],{"class":2281},"([",[15,2375,248],{"class":2326},[15,2377,2329],{"class":2281},[15,2379,2360],{"class":2326},[15,2381,2382],{"class":2281},"], [",[15,2384,248],{"class":2326},[15,2386,2329],{"class":2281},[15,2388,2360],{"class":2326},[15,2390,2391],{"class":2281},"])\n",[2263,2393,2397],{"className":2394,"code":2395,"language":2396,"meta":2268,"style":2268},"language-js shiki shiki-themes one-dark-pro","import { QuantumCircuit } from 'qiskit';\n\nconst circuit = QuantumCircuit(2, 2);\ncircuit.rxx(Math.PI \u002F 2, 0, 1);\ncircuit.measure([0, 1], [0, 1]);\n","js",[312,2398,2399,2422,2426,2451,2485],{"__ignoreMap":2268},[15,2400,2401,2403,2406,2410,2413,2415,2419],{"class":2273,"line":2274},[15,2402,2285],{"class":2277},[15,2404,2405],{"class":2281}," { ",[15,2407,2409],{"class":2408},"sVyAn","QuantumCircuit",[15,2411,2412],{"class":2281}," } ",[15,2414,2278],{"class":2277},[15,2416,2418],{"class":2417},"subq3"," 'qiskit'",[15,2420,2421],{"class":2281},";\n",[15,2423,2424],{"class":2273,"line":2291},[15,2425,2308],{"emptyLinePlaceholder":2307},[15,2427,2428,2431,2435,2438,2440,2442,2444,2446,2448],{"class":2273,"line":2304},[15,2429,2430],{"class":2277},"const",[15,2432,2434],{"class":2433},"sU0A5"," circuit",[15,2436,2437],{"class":2317}," =",[15,2439,2321],{"class":2320},[15,2441,768],{"class":2281},[15,2443,185],{"class":2326},[15,2445,2329],{"class":2281},[15,2447,185],{"class":2326},[15,2449,2450],{"class":2281},");\n",[15,2452,2453,2456,2458,2460,2462,2465,2467,2470,2473,2475,2477,2479,2481,2483],{"class":2273,"line":2311},[15,2454,2455],{"class":2433},"circuit",[15,2457,741],{"class":2281},[15,2459,2343],{"class":2320},[15,2461,768],{"class":2281},[15,2463,2464],{"class":2433},"Math",[15,2466,741],{"class":2281},[15,2468,2469],{"class":2408},"PI",[15,2471,2472],{"class":2317}," \u002F",[15,2474,2351],{"class":2326},[15,2476,2329],{"class":2281},[15,2478,248],{"class":2326},[15,2480,2329],{"class":2281},[15,2482,2360],{"class":2326},[15,2484,2450],{"class":2281},[15,2486,2487,2489,2491,2493,2495,2497,2499,2501,2503,2505,2507,2509],{"class":2273,"line":2337},[15,2488,2455],{"class":2433},[15,2490,741],{"class":2281},[15,2492,2370],{"class":2320},[15,2494,2373],{"class":2281},[15,2496,248],{"class":2326},[15,2498,2329],{"class":2281},[15,2500,2360],{"class":2326},[15,2502,2382],{"class":2281},[15,2504,248],{"class":2326},[15,2506,2329],{"class":2281},[15,2508,2360],{"class":2326},[15,2510,2511],{"class":2281},"]);\n",[11,2513,2514,2515,2517,2518,2520],{},"On a noiseless simulator every shot reads ",[312,2516,358],{}," or ",[312,2519,386],{},", in close to equal numbers.",[281,2522,2524],{"id":2523},"on-ionq-hardware","On IonQ hardware",[11,2526,2527,2528,2530,2531,2534,2535,2538,2539,2542,2543,2545,2546,741],{},"RXX is the abstract form of Aria's native entangler: for θ from 0 to π\u002F2, ",[312,2529,2253],{}," is exactly ",[312,2532,2533],{},"MS(0, 0, θ\u002F2π)",", one native gate with no single-qubit pulses, partially entangling between 0 and π\u002F2. IonQ's ",[312,2536,2537],{},"MS"," angle runs from 0 to a quarter turn; above π\u002F2 the compiler rewrites the gate and does not publish the result. On Forte, where the entangler is ",[312,2540,2541],{},"ZZ",", it is one ",[312,2544,2541],{}," gate with single-qubit pulses around it. See ",[275,2547,2549],{"href":2548},"\u002Flearn\u002Fdocs\u002Fhow-your-circuit-is-compiled","How your circuit is compiled",[281,2551,2553],{"id":2552},"related","Related",[2555,2556,2557,2564,2568,2574,2580],"ul",{},[2558,2559,2560],"li",{},[275,2561,2563],{"href":2562},"\u002Flearn\u002Fdocs\u002Fryy-gate","RYY gate",[2558,2565,2566],{},[275,2567,1563],{"href":1562},[2558,2569,2570],{},[275,2571,2573],{"href":2572},"\u002Flearn\u002Fdocs\u002Fms-gate","MS gate",[2558,2575,2576],{},[275,2577,2579],{"href":2578},"\u002Flearn\u002Fdocs\u002Frx-gate","RX gate",[2558,2581,2582],{},[275,2583,2585],{"href":2584},"\u002Flearn\u002Fdocs\u002Fgates","Gate reference",[2587,2588,2589],"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: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html pre.shiki code .sVyAn, html code.shiki .sVyAn{--shiki-default:#E06C75}html pre.shiki code .subq3, html code.shiki .subq3{--shiki-default:#98C379}html pre.shiki code .sU0A5, html code.shiki .sU0A5{--shiki-default:#E5C07B}",{"title":2268,"searchDepth":2291,"depth":2291,"links":2591},[2592,2593,2594,2595,2596,2597,2598],{"id":283,"depth":2291,"text":284},{"id":337,"depth":2291,"text":338},{"id":1572,"depth":2291,"text":1573},{"id":2246,"depth":2291,"text":2247},{"id":2260,"depth":2291,"text":2261},{"id":2523,"depth":2291,"text":2524},{"id":2552,"depth":2291,"text":2553},"gates","Gates","The RXX gate, a two-qubit rotation about X⊗X: matrix, effect on the basis states, the rxx() call in Python and JS, and its IonQ native-gate form.",false,"md","two-qubit","Two-qubit gates","doc",{},20,"\u002Fblog\u002Flearn\u002Fdocs\u002Frxx-gate","2026-09-16",[],{"title":2613,"description":2614},"RXX gate · Qollab docs","Reference for the RXX(θ) two-qubit rotation gate: matrix, action on the basis states, the Qiskit rxx() call in Python and JS, and its IonQ MS 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debiasing","\u002Flearn\u002Fdocs\u002Ferror-mitigation",{"title":2668,"href":2669},"Transpilation","\u002Flearn\u002Fdocs\u002Ftranspilation",{"title":2671,"href":2672},"Primitives","\u002Flearn\u002Fdocs\u002Fprimitives",{"category":2599,"categoryName":2600,"articles":2674},[2675,2676,2679,2682,2685,2688,2691,2694,2697,2700,2703,2706,2709,2710,2713,2716,2719,2722,2725,2728,2731,2733,2734,2735,2740,2743,2748,2751,2752],{"title":2585,"href":2584},{"title":1568,"href":1567,"group":2677,"groupName":2678},"single-qubit","Single-qubit gates",{"title":2680,"href":2681,"group":2677,"groupName":2678},"X gate","\u002Flearn\u002Fdocs\u002Fx-gate",{"title":2683,"href":2684,"group":2677,"groupName":2678},"Y gate","\u002Flearn\u002Fdocs\u002Fy-gate",{"title":2686,"href":2687,"group":2677,"groupName":2678},"Z gate","\u002Flearn\u002Fdocs\u002Fz-gate",{"title":2689,"href":2690,"group":2677,"groupName":2678},"S 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gate","\u002Flearn\u002Fdocs\u002Fcx-gate",{"title":2720,"href":2721,"group":2604,"groupName":2605},"CY gate","\u002Flearn\u002Fdocs\u002Fcy-gate",{"title":2723,"href":2724,"group":2604,"groupName":2605},"CZ gate","\u002Flearn\u002Fdocs\u002Fcz-gate",{"title":2726,"href":2727,"group":2604,"groupName":2605},"CP gate","\u002Flearn\u002Fdocs\u002Fcp-gate",{"title":2729,"href":2730,"group":2604,"groupName":2605},"Swap gate","\u002Flearn\u002Fdocs\u002Fswap-gate",{"title":5,"href":2732,"group":2604,"groupName":2605},"\u002Flearn\u002Fdocs\u002Frxx-gate",{"title":2563,"href":2562,"group":2604,"groupName":2605},{"title":1563,"href":1562,"group":2604,"groupName":2605},{"title":2736,"href":2737,"group":2738,"groupName":2739},"CCX gate","\u002Flearn\u002Fdocs\u002Fccx-gate","multi-qubit","Multi-qubit gates",{"title":2741,"href":2742,"group":2738,"groupName":2739},"Pauli evolution gate","\u002Flearn\u002Fdocs\u002Fpauli-evolution-gate",{"title":2744,"href":2745,"group":2746,"groupName":2747},"GPi gate","\u002Flearn\u002Fdocs\u002Fgpi-gate","native","IonQ native gates",{"title":2749,"href":2750,"group":2746,"groupName":2747},"GPi2 gate","\u002Flearn\u002Fdocs\u002Fgpi2-gate",{"title":2573,"href":2572,"group":2746,"groupName":2747},{"title":2753,"href":2754,"group":2746,"groupName":2747},"ZZ gate","\u002Flearn\u002Fdocs\u002Fzz-gate",{"category":2756,"categoryName":2757,"articles":2758},"credits","Credits",[2759,2762],{"title":2760,"href":2761},"How credits work","\u002Flearn\u002Fdocs\u002Fhow-credits-work",{"title":2763,"href":2764},"Before you spend credits","\u002Flearn\u002Fdocs\u002Fbefore-you-spend-credits",{"category":2766,"categoryName":2767,"articles":2768},"troubleshooting","Troubleshooting",[2769,2772,2775],{"title":2770,"href":2771},"Troubleshooting and FAQ","\u002Flearn\u002Fdocs\u002Ffaq",{"title":2773,"href":2774},"Error reference","\u002Flearn\u002Fdocs\u002Ferror-reference",{"title":2776,"href":2777},"Why your results look wrong","\u002Flearn\u002Fdocs\u002Fwhy-your-results-look-wrong",1789652389770]