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At ",[15,158,160,188],{"className":159},[18],[15,161,163],{"className":162},[22],[24,164,165],{"xmlns":26},[28,166,167,185],{},[31,168,169,171,174,177,181],{},[34,170,104],{},[38,172,173],{},"=",[34,175,176],{},"π",[34,178,180],{"mathvariant":179},"normal","\u002F",[182,183,184],"mn",{},"2",[44,186,187],{"encoding":46},"\\theta = \\pi\u002F2",[15,189,191,211],{"className":190,"ariaHidden":52},[51],[15,192,194,197,200,204,208],{"className":193},[56],[15,195],{"className":196,"style":117},[60],[15,198,104],{"className":199,"style":121},[65,66],[15,201],{"className":202,"style":203},[71],"margin-right:0.2778em;",[15,205,173],{"className":206},[207],"mrel",[15,209],{"className":210,"style":203},[71],[15,212,214,218,222],{"className":213},[56],[15,215],{"className":216,"style":217},[60],"height:1em;vertical-align:-0.25em;",[15,219,176],{"className":220,"style":221},[65,66],"margin-right:0.0359em;",[15,223,225],{"className":224},[65],"\u002F2"," on two fresh qubits, the pair reads 00 or 11 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\\rangle",[15,1895,1897,1921],{"className":1896,"ariaHidden":52},[51],[15,1898,1900,1903,1906,1909,1912,1915,1918],{"className":1899},[56],[15,1901],{"className":1902,"style":217},[60],[15,1904,463],{"className":1905},[65,66],[15,1907,431],{"className":1908},[65],[15,1910,251],{"className":1911},[271],[15,1913],{"className":1914,"style":67},[71],[15,1916,841],{"className":1917},[75],[15,1919],{"className":1920,"style":67},[71],[15,1922,1924,1927,1930,1933,1936],{"className":1923},[56],[15,1925],{"className":1926,"style":217},[60],[15,1928,816],{"className":1929},[65,66],[15,1931,622],{"className":1932},[65,66],[15,1934,418],{"className":1935},[65],[15,1937,251],{"className":1938},[271],[291,1940,1941,1979],{},[305,1942,1943],{},[15,1944,1946,1964],{"className":1945},[18],[15,1947,1949],{"className":1948},[22],[24,1950,1951],{"xmlns":26},[28,1952,1953,1961],{},[31,1954,1955,1957,1959],{},[34,1956,244],{"mathvariant":179},[182,1958,385],{},[38,1960,251],{"stretchy":250},[44,1962,1963],{"encoding":46},"\\vert 11 \\rangle",[15,1965,1967],{"className":1966,"ariaHidden":52},[51],[15,1968,1970,1973,1976],{"className":1969},[56],[15,1971],{"className":1972,"style":217},[60],[15,1974,444],{"className":1975},[65],[15,1977,251],{"className":1978},[271],[305,1980,1981],{},[15,1982,1984,2016],{"className":1983},[18],[15,1985,1987],{"className":1986},[22],[24,1988,1989],{"xmlns":26},[28,1990,1991,2013],{},[31,1992,1993,1995,1997,1999,2001,2003,2005,2007,2009,2011],{},[34,1994,463],{},[34,1996,244],{"mathvariant":179},[182,1998,385],{},[38,2000,251],{"stretchy":250},[38,2002,1636],{},[34,2004,816],{},[34,2006,622],{},[34,2008,244],{"mathvariant":179},[182,2010,357],{},[38,2012,251],{"stretchy":250},[44,2014,2015],{"encoding":46},"c\\vert 11 \\rangle + is\\vert 00 \\rangle",[15,2017,2019,2043],{"className":2018,"ariaHidden":52},[51],[15,2020,2022,2025,2028,2031,2034,2037,2040],{"className":2021},[56],[15,2023],{"className":2024,"style":217},[60],[15,2026,463],{"className":2027},[65,66],[15,2029,444],{"className":2030},[65],[15,2032,251],{"className":2033},[271],[15,2035],{"className":2036,"style":67},[71],[15,2038,1636],{"className":2039},[75],[15,2041],{"className":2042,"style":67},[71],[15,2044,2046,2049,2052,2055,2058],{"className":2045},[56],[15,2047],{"className":2048,"style":217},[60],[15,2050,816],{"className":2051},[65,66],[15,2053,622],{"className":2054},[65,66],[15,2056,403],{"className":2057},[65],[15,2059,251],{"className":2060},[271],[11,2062,2063,2064,2121,2122,2157,2158,607,2193,2228],{},"At ",[15,2065,2067,2088],{"className":2066},[18],[15,2068,2070],{"className":2069},[22],[24,2071,2072],{"xmlns":26},[28,2073,2074,2086],{},[31,2075,2076,2078,2080,2082,2084],{},[34,2077,104],{},[38,2079,173],{},[34,2081,176],{},[34,2083,180],{"mathvariant":179},[182,2085,184],{},[44,2087,187],{"encoding":46},[15,2089,2091,2109],{"className":2090,"ariaHidden":52},[51],[15,2092,2094,2097,2100,2103,2106],{"className":2093},[56],[15,2095],{"className":2096,"style":117},[60],[15,2098,104],{"className":2099,"style":121},[65,66],[15,2101],{"className":2102,"style":203},[71],[15,2104,173],{"className":2105},[207],[15,2107],{"className":2108,"style":203},[71],[15,2110,2112,2115,2118],{"className":2111},[56],[15,2113],{"className":2114,"style":217},[60],[15,2116,176],{"className":2117,"style":221},[65,66],[15,2119,225],{"className":2120},[65]," the gate is fully entangling: from ",[15,2123,2125,2142],{"className":2124},[18],[15,2126,2128],{"className":2127},[22],[24,2129,2130],{"xmlns":26},[28,2131,2132,2140],{},[31,2133,2134,2136,2138],{},[34,2135,244],{"mathvariant":179},[182,2137,357],{},[38,2139,251],{"stretchy":250},[44,2141,1596],{"encoding":46},[15,2143,2145],{"className":2144,"ariaHidden":52},[51],[15,2146,2148,2151,2154],{"className":2147},[56],[15,2149],{"className":2150,"style":217},[60],[15,2152,403],{"className":2153},[65],[15,2155,251],{"className":2156},[271]," it produces an equal superposition of ",[15,2159,2161,2178],{"className":2160},[18],[15,2162,2164],{"className":2163},[22],[24,2165,2166],{"xmlns":26},[28,2167,2168,2176],{},[31,2169,2170,2172,2174],{},[34,2171,244],{"mathvariant":179},[182,2173,357],{},[38,2175,251],{"stretchy":250},[44,2177,1596],{"encoding":46},[15,2179,2181],{"className":2180,"ariaHidden":52},[51],[15,2182,2184,2187,2190],{"className":2183},[56],[15,2185],{"className":2186,"style":217},[60],[15,2188,403],{"className":2189},[65],[15,2191,251],{"className":2192},[271],[15,2194,2196,2213],{"className":2195},[18],[15,2197,2199],{"className":2198},[22],[24,2200,2201],{"xmlns":26},[28,2202,2203,2211],{},[31,2204,2205,2207,2209],{},[34,2206,244],{"mathvariant":179},[182,2208,385],{},[38,2210,251],{"stretchy":250},[44,2212,1963],{"encoding":46},[15,2214,2216],{"className":2215,"ariaHidden":52},[51],[15,2217,2219,2222,2225],{"className":2218},[56],[15,2220],{"className":2221,"style":217},[60],[15,2223,444],{"className":2224},[65],[15,2226,251],{"className":2227},[271],", a Bell state up to a phase.",[280,2230,2232],{"id":2231},"inverse","Inverse",[11,2234,2235,2236,2239,2240,740],{},"The inverse of ",[311,2237,2238],{},"ryy(θ)"," is ",[311,2241,2242],{},"ryy(-θ)",[280,2244,2246],{"id":2245},"usage","Usage",[2248,2249,2254],"pre",{"className":2250,"code":2251,"language":2252,"meta":2253,"style":2253},"language-python shiki shiki-themes one-dark-pro","from math import pi\nfrom qiskit import QuantumCircuit\n\nqc = QuantumCircuit(2, 2)\nqc.ryy(pi \u002F 2, 0, 1)\nqc.measure([0, 1], [0, 1])\n","python","",[311,2255,2256,2274,2287,2294,2320,2348],{"__ignoreMap":2253},[15,2257,2260,2264,2268,2271],{"class":2258,"line":2259},"line",1,[15,2261,2263],{"class":2262},"seHd6","from",[15,2265,2267],{"class":2266},"sn6KH"," math ",[15,2269,2270],{"class":2262},"import",[15,2272,2273],{"class":2266}," pi\n",[15,2275,2277,2279,2282,2284],{"class":2258,"line":2276},2,[15,2278,2263],{"class":2262},[15,2280,2281],{"class":2266}," qiskit ",[15,2283,2270],{"class":2262},[15,2285,2286],{"class":2266}," QuantumCircuit\n",[15,2288,2290],{"class":2258,"line":2289},3,[15,2291,2293],{"emptyLinePlaceholder":2292},true,"\n",[15,2295,2297,2300,2303,2307,2309,2312,2315,2317],{"class":2258,"line":2296},4,[15,2298,2299],{"class":2266},"qc ",[15,2301,173],{"class":2302},"sjrmR",[15,2304,2306],{"class":2305},"sVbv2"," QuantumCircuit",[15,2308,767],{"class":2266},[15,2310,184],{"class":2311},"sVC51",[15,2313,2314],{"class":2266},", ",[15,2316,184],{"class":2311},[15,2318,2319],{"class":2266},")\n",[15,2321,2323,2326,2329,2332,2334,2337,2339,2341,2343,2346],{"class":2258,"line":2322},5,[15,2324,2325],{"class":2266},"qc.",[15,2327,2328],{"class":2305},"ryy",[15,2330,2331],{"class":2266},"(pi ",[15,2333,180],{"class":2302},[15,2335,2336],{"class":2311}," 2",[15,2338,2314],{"class":2266},[15,2340,247],{"class":2311},[15,2342,2314],{"class":2266},[15,2344,2345],{"class":2311},"1",[15,2347,2319],{"class":2266},[15,2349,2351,2353,2356,2359,2361,2363,2365,2368,2370,2372,2374],{"class":2258,"line":2350},6,[15,2352,2325],{"class":2266},[15,2354,2355],{"class":2305},"measure",[15,2357,2358],{"class":2266},"([",[15,2360,247],{"class":2311},[15,2362,2314],{"class":2266},[15,2364,2345],{"class":2311},[15,2366,2367],{"class":2266},"], [",[15,2369,247],{"class":2311},[15,2371,2314],{"class":2266},[15,2373,2345],{"class":2311},[15,2375,2376],{"class":2266},"])\n",[2248,2378,2382],{"className":2379,"code":2380,"language":2381,"meta":2253,"style":2253},"language-js shiki shiki-themes one-dark-pro","import { QuantumCircuit } from 'qiskit';\n\nconst circuit = QuantumCircuit(2, 2);\ncircuit.ryy(Math.PI \u002F 2, 0, 1);\ncircuit.measure([0, 1], [0, 1]);\n","js",[311,2383,2384,2407,2411,2436,2470],{"__ignoreMap":2253},[15,2385,2386,2388,2391,2395,2398,2400,2404],{"class":2258,"line":2259},[15,2387,2270],{"class":2262},[15,2389,2390],{"class":2266}," { ",[15,2392,2394],{"class":2393},"sVyAn","QuantumCircuit",[15,2396,2397],{"class":2266}," } ",[15,2399,2263],{"class":2262},[15,2401,2403],{"class":2402},"subq3"," 'qiskit'",[15,2405,2406],{"class":2266},";\n",[15,2408,2409],{"class":2258,"line":2276},[15,2410,2293],{"emptyLinePlaceholder":2292},[15,2412,2413,2416,2420,2423,2425,2427,2429,2431,2433],{"class":2258,"line":2289},[15,2414,2415],{"class":2262},"const",[15,2417,2419],{"class":2418},"sU0A5"," circuit",[15,2421,2422],{"class":2302}," =",[15,2424,2306],{"class":2305},[15,2426,767],{"class":2266},[15,2428,184],{"class":2311},[15,2430,2314],{"class":2266},[15,2432,184],{"class":2311},[15,2434,2435],{"class":2266},");\n",[15,2437,2438,2441,2443,2445,2447,2450,2452,2455,2458,2460,2462,2464,2466,2468],{"class":2258,"line":2296},[15,2439,2440],{"class":2418},"circuit",[15,2442,740],{"class":2266},[15,2444,2328],{"class":2305},[15,2446,767],{"class":2266},[15,2448,2449],{"class":2418},"Math",[15,2451,740],{"class":2266},[15,2453,2454],{"class":2393},"PI",[15,2456,2457],{"class":2302}," \u002F",[15,2459,2336],{"class":2311},[15,2461,2314],{"class":2266},[15,2463,247],{"class":2311},[15,2465,2314],{"class":2266},[15,2467,2345],{"class":2311},[15,2469,2435],{"class":2266},[15,2471,2472,2474,2476,2478,2480,2482,2484,2486,2488,2490,2492,2494],{"class":2258,"line":2322},[15,2473,2440],{"class":2418},[15,2475,740],{"class":2266},[15,2477,2355],{"class":2305},[15,2479,2358],{"class":2266},[15,2481,247],{"class":2311},[15,2483,2314],{"class":2266},[15,2485,2345],{"class":2311},[15,2487,2367],{"class":2266},[15,2489,247],{"class":2311},[15,2491,2314],{"class":2266},[15,2493,2345],{"class":2311},[15,2495,2496],{"class":2266},"]);\n",[11,2498,2499,2500,2502,2503,2505],{},"On a noiseless simulator every shot reads ",[311,2501,357],{}," or ",[311,2504,385],{},", in close to equal numbers.",[280,2507,2509],{"id":2508},"on-ionq-hardware","On IonQ hardware",[11,2511,2512,2513,2515,2516,2519,2520,2523,2524,2527,2528,740],{},"RYY is the abstract form of Aria's native entangler with both phases a quarter turn round: for θ from 0 to π\u002F2, ",[311,2514,2238],{}," is exactly ",[311,2517,2518],{},"MS(0.25, 0.25, θ\u002F2π)",", one native gate with no single-qubit pulses, partially entangling between 0 and π\u002F2. IonQ's ",[311,2521,2522],{},"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 it is one ",[311,2525,2526],{},"ZZ"," gate with single-qubit pulses around it. See ",[274,2529,2531],{"href":2530},"\u002Flearn\u002Fdocs\u002Fhow-your-circuit-is-compiled","How your circuit is compiled",[280,2533,2535],{"id":2534},"related","Related",[2537,2538,2539,2545,2551,2557,2563],"ul",{},[2540,2541,2542],"li",{},[274,2543,2544],{"href":1551},"RXX gate",[2540,2546,2547],{},[274,2548,2550],{"href":2549},"\u002Flearn\u002Fdocs\u002Frzz-gate","RZZ gate",[2540,2552,2553],{},[274,2554,2556],{"href":2555},"\u002Flearn\u002Fdocs\u002Fms-gate","MS gate",[2540,2558,2559],{},[274,2560,2562],{"href":2561},"\u002Flearn\u002Fdocs\u002Fry-gate","RY gate",[2540,2564,2565],{},[274,2566,2568],{"href":2567},"\u002Flearn\u002Fdocs\u002Fgates","Gate reference",[2570,2571,2572],"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":2253,"searchDepth":2276,"depth":2276,"links":2574},[2575,2576,2577,2578,2579,2580,2581],{"id":282,"depth":2276,"text":283},{"id":336,"depth":2276,"text":337},{"id":1556,"depth":2276,"text":1557},{"id":2231,"depth":2276,"text":2232},{"id":2245,"depth":2276,"text":2246},{"id":2508,"depth":2276,"text":2509},{"id":2534,"depth":2276,"text":2535},"gates","Gates","The RYY gate, a two-qubit rotation about Y⊗Y: matrix, effect on the basis states, the ryy() call in Python and JS, and its IonQ native-gate form.",false,"md","two-qubit","Two-qubit gates","doc",{},21,"\u002Fblog\u002Flearn\u002Fdocs\u002Fryy-gate","2026-09-16",[],{"title":2596,"description":2597},"RYY gate · Qollab docs","Reference for the RYY(θ) two-qubit rotation gate: matrix, action on the basis states, the Qiskit ryy() call in Python and JS, and its IonQ 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code","\u002Flearn\u002Fdocs\u002Frun-your-code",{"title":2635,"href":2636},"Compute backends","\u002Flearn\u002Fdocs\u002Fcompute-backends",{"title":2638,"href":2639},"The runtime environment","\u002Flearn\u002Fdocs\u002Fruntime-environment",{"title":2641,"href":2642},"JS \u002F Qiskit projects","\u002Flearn\u002Fdocs\u002Fjs-qiskit-projects",{"title":2644,"href":2645},"Python \u002F Qiskit projects","\u002Flearn\u002Fdocs\u002Fpython-qiskit-projects",{"title":2531,"href":2530},{"title":2648,"href":2649},"Error mitigation and debiasing","\u002Flearn\u002Fdocs\u002Ferror-mitigation",{"title":2651,"href":2652},"Transpilation","\u002Flearn\u002Fdocs\u002Ftranspilation",{"title":2654,"href":2655},"Primitives","\u002Flearn\u002Fdocs\u002Fprimitives",{"category":2582,"categoryName":2583,"articles":2657},[2658,2659,2664,2667,2670,2673,2676,2679,2682,2685,2688,2691,2694,2697,2698,2701,2704,2707,2710,2713,2716,2717,2719,2720,2725,2728,2733,2736,2737],{"title":2568,"href":2567},{"title":2660,"href":2661,"group":2662,"groupName":2663},"H gate","\u002Flearn\u002Fdocs\u002Fh-gate","single-qubit","Single-qubit gates",{"title":2665,"href":2666,"group":2662,"groupName":2663},"X gate","\u002Flearn\u002Fdocs\u002Fx-gate",{"title":2668,"href":2669,"group":2662,"groupName":2663},"Y gate","\u002Flearn\u002Fdocs\u002Fy-gate",{"title":2671,"href":2672,"group":2662,"groupName":2663},"Z gate","\u002Flearn\u002Fdocs\u002Fz-gate",{"title":2674,"href":2675,"group":2662,"groupName":2663},"S gate","\u002Flearn\u002Fdocs\u002Fs-gate",{"title":2677,"href":2678,"group":2662,"groupName":2663},"Sdg gate","\u002Flearn\u002Fdocs\u002Fsdg-gate",{"title":2680,"href":2681,"group":2662,"groupName":2663},"T gate","\u002Flearn\u002Fdocs\u002Ft-gate",{"title":2683,"href":2684,"group":2662,"groupName":2663},"Tdg gate","\u002Flearn\u002Fdocs\u002Ftdg-gate",{"title":2686,"href":2687,"group":2662,"groupName":2663},"√X gate","\u002Flearn\u002Fdocs\u002Fsx-gate",{"title":2689,"href":2690,"group":2662,"groupName":2663},"√X† gate","\u002Flearn\u002Fdocs\u002Fsxdg-gate",{"title":2692,"href":2693,"group":2662,"groupName":2663},"P gate","\u002Flearn\u002Fdocs\u002Fp-gate",{"title":2695,"href":2696,"group":2662,"groupName":2663},"RX gate","\u002Flearn\u002Fdocs\u002Frx-gate",{"title":2562,"href":2561,"group":2662,"groupName":2663},{"title":2699,"href":2700,"group":2662,"groupName":2663},"RZ gate","\u002Flearn\u002Fdocs\u002Frz-gate",{"title":2702,"href":2703,"group":2587,"groupName":2588},"CX gate","\u002Flearn\u002Fdocs\u002Fcx-gate",{"title":2705,"href":2706,"group":2587,"groupName":2588},"CY gate","\u002Flearn\u002Fdocs\u002Fcy-gate",{"title":2708,"href":2709,"group":2587,"groupName":2588},"CZ gate","\u002Flearn\u002Fdocs\u002Fcz-gate",{"title":2711,"href":2712,"group":2587,"groupName":2588},"CP gate","\u002Flearn\u002Fdocs\u002Fcp-gate",{"title":2714,"href":2715,"group":2587,"groupName":2588},"Swap gate","\u002Flearn\u002Fdocs\u002Fswap-gate",{"title":2544,"href":1551,"group":2587,"groupName":2588},{"title":5,"href":2718,"group":2587,"groupName":2588},"\u002Flearn\u002Fdocs\u002Fryy-gate",{"title":2550,"href":2549,"group":2587,"groupName":2588},{"title":2721,"href":2722,"group":2723,"groupName":2724},"CCX gate","\u002Flearn\u002Fdocs\u002Fccx-gate","multi-qubit","Multi-qubit gates",{"title":2726,"href":2727,"group":2723,"groupName":2724},"Pauli evolution gate","\u002Flearn\u002Fdocs\u002Fpauli-evolution-gate",{"title":2729,"href":2730,"group":2731,"groupName":2732},"GPi gate","\u002Flearn\u002Fdocs\u002Fgpi-gate","native","IonQ native gates",{"title":2734,"href":2735,"group":2731,"groupName":2732},"GPi2 gate","\u002Flearn\u002Fdocs\u002Fgpi2-gate",{"title":2556,"href":2555,"group":2731,"groupName":2732},{"title":2738,"href":2739,"group":2731,"groupName":2732},"ZZ gate","\u002Flearn\u002Fdocs\u002Fzz-gate",{"category":2741,"categoryName":2742,"articles":2743},"credits","Credits",[2744,2747],{"title":2745,"href":2746},"How credits work","\u002Flearn\u002Fdocs\u002Fhow-credits-work",{"title":2748,"href":2749},"Before you spend credits","\u002Flearn\u002Fdocs\u002Fbefore-you-spend-credits",{"category":2751,"categoryName":2752,"articles":2753},"troubleshooting","Troubleshooting",[2754,2757,2760],{"title":2755,"href":2756},"Troubleshooting and FAQ","\u002Flearn\u002Fdocs\u002Ffaq",{"title":2758,"href":2759},"Error reference","\u002Flearn\u002Fdocs\u002Ferror-reference",{"title":2761,"href":2762},"Why your results look wrong","\u002Flearn\u002Fdocs\u002Fwhy-your-results-look-wrong",1789652389778]