qat.lang.Y

qat.lang.Y

Definition of the \(Y\) gate (of arity \(1\)). This gate is part of the default gate set of myQLM and is defined in the default gate set default_gate_set().

from qat.lang import qrout, Y

@qrout
def circ():
    Y(0)
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
from qat.lang import qrout, Y

@qrout
def ctrl_circ():
    Y.ctrl()(0, 1)
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Multi-controlled gate
from qat.lang import qrout, Y

@qrout
def multi_ctrl_circ():
    Y.ctrl(2)(0, 1, 2)
from qat.lang import qrout, Y

@qrout
def reversed_circ():
    Y.dag()(0)
data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABFMAAAG5CAQAAADoyrNZAAAAAmJLR0QA/4ePzL8AAAAJcEhZcwAAAooAAAKKAHc+pAoAAAAHdElNRQfqCgEWDjVZnNvvAAAZ/klEQVR42u3de9BcZX0H8N8b3iRcEi8dpSKjEknC1bZOHUXlFnRGix2vBBLCH3SQTtF2CkigjrXFdsqIuYE4aLHT6kgSAqgdrTijUwhQq+1YcUQJIQmEcRRULiKEkOv2D8LLXs7u2X33nN1z+Xzef9737J5nzz7n2ef9nnOefU4EAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAORhQhVADS2IxfFobIyD9AGMVSMa8fI4Iw6OT6kMxBQgImJfzFAJFM7aOE8lIKaA41copnmxXSUgpoCYAkW0J2apBMQUEFPA/yRKwRVqAEBMAYAeHlQFiCkAFNNeVQBQd42WHxinO1pa4wMqhHbOpkC9vVYVMEaHqwLEFKC72aqAMZqpChBTgO58ARQQUwAAxBQAQEwBABBTAAAxBQBATAEAEFMAADEFAEBMAQDEFAAAMQUAQEwBAMQUAAAxBQAQUwAAxBQAQEwBABBTAADEFABATAEAEFMAADEFAEBMAQAQUwAAMQUAQEwBAMQUAAAxBQAQUwAAxBQAADEFABBTAADEFABATAEAEFMAAMQUAEBMAQAQUwAAMQUAQEwBABBTAAAxBQBATAEAxBQAADEFAKifSVUAUGp/EG+Kn8d3VQRiCgBF8rJ4cur3X8fvqxCqxkUfgPJ6sun3w6OhQhBTACiGz3UsebdKQUwBoAg+3LHkXSoFMQWAIpjdseSDKgUxBYBi2q0KEFMAAMQUAPTpaNIAlM3vOpb8QqUgpgBQBI92LPmBSkFMAaAIZnUsOVilIKYAUAQ3dyy5RaUgpgBQBId2LHlcpSCmAFAEqzuW3KdSEFMAKIInVAFiCgDF9FTb31tVCWIKAEXROnPKv6sQxBQAiqJ1yOw9KgQxpVpOiGNiYRwXL9MUgBL6upgC1XNebIj7o9H2szWWD1DGwmhEI25UmZROa7tfqEJK7dSWvVk+D7Rs/wN2KHW3PHZ2xJPWn4cTZiLodG2JuwXEFDGlOuaKKVAVN6UElBd/Vg9QEogpFGN/lvF7PmIKRETE+i6B5MnYFJtjUzzZtnxXj7K2Nz1vnapFTGGsnp7al58RU6CMViUGlNvj5LbnLWkbr3JYYmn7W56zTPUipjBWd07ty8vFFCibUxIjytquz39tynXe9rMyIKYwXqun9uV8MQXK5XsJEWVnwq3PW22beu7etkdu6SgNxBSKcjBWRmIKtTU78TzKyr7W3Tj1/DVNSz82wFkZEFMYjePFFCifcxJDytK+198xtc4LX08+NaE8I1MQUyjKHn1KTIGyuDUxpEwOUMLBU2s9mNi1u+SDmEKx9ugWMYUqquJk+evjQ4nBY+8AZTwX1xz4bV68IiI2ayrAyH1u6h/4/bE+rujy/cPnbz/4P4mPLYxr486pLy3vib9VqZTLROXe0b7E6DVzoJDywhHK826PlXFbwuPrXPShpMfezY4ZyxHslfHyA5/JiTgofhA/iMkDvdFEzIp7e6z50jgi9k+9k/1xRJwTew68p4mYGT+JL45ou2fGhngkZsRETMRk/KzLGm+I3bG/aTtnxCFxQ/xoGnvqBXfFF2J9y5KfxgkRcVV8omnZYXFRnBmLCt/vPxALmv7a4uweVbd3yDEpzc5umuytYWQKFYop477o08j5p/jb/dE+Xu0XKWWsjaUHzq78VzSiERcfOHvysbgjZc3rCxVTXPShRtYmfiRX5dQpgZgyHf9c0pjyhQy38PEMQ9Hu+Hk0ohGPFCDIiSnQw82JH8cHhyjxRjEFMSVzj5Y0pvwqwy38WuqrnVjK801iCpmrzhDaNbE4cfnrhyjzX3o85m4+MD2P5Vz+b3Iq98cZlvWdGvXNQEQs7XLMsCTT404jU3A2ZXivyfU8wa/jyNwO6p7IaBv/dcjep/nnJ7EyfhiNaMQ34taOm6g6mwKFcEiXj+K2oUve5JIPYkrOToz58fZYFd+Zxj/8/4w18bo4fqTbOyfeFl8aeDtXx8lx7ECvc13qANo5B575/WhEI5Yf+OvQuCxlEO35YgqMs9vNMkpcJaYgpozQVQP861885m3t58zFjrhkaibrwSWNhrkjlk/Fkxc8f5bnS21LF8aa2JxQwjcLtcfFFGrgpi4dxMoMyr66S9l3qHbElFx8oM9LO0U+QHr+56YMXuFd8dXYHltje6yMZTG353Zs6vLosXFFrIjtsS0ejmvjDQXb32IKlXdKruc7up3aXa7iEVNy8uU+YsofFmJLb+i6fRvGskfLSEyhZl3uiz+rcy39MBWPmDKmsxSNaMSrC7GdVyZu29YRb8VpYgoU1/dyHjuS98iUE2JBHBVfjKNiwYiHASKmFDemPJDJLK75+13Cll028q1YNfXap4kpUCyvz/mU66KcRqacEau6dsSbY3W8066l1jHl3JJ8pbZzq2aP9R/9qhK2RjGFGnW32XdhKzIfmfKOlJltm4ffHWsHU9OY0s9lnzPGvo03ZjjjdTZ1tUVMgSL5bNcOLKumviPTkSnnDTwnxLaYbzdTy5iyLvXT8ZUxb+H8tu1ZP6btOKzkEyWIKdTyXMrSnF9hOh7qMjXVa2N+LIgFMS/OTjzT8uAQsy5AWWPKgsJf9tkxxm/2NLtCTIFiWp179zU/s5EpnVfa7+862f7shLByjd1NzWJKP5d9loxx61YUJKS03xe+fINoxRRqeC7l9pyD0KAjU27tKOF1qetsa1vjYTucmsWUNakx5bmxbdvSwoSUiGdatqV8g2jFFCqqVxd2bkavsTmTkSkbpnlFfXHbervtdGoVU6Kwl31mFSikRMc3BcUUKHwHlvdrDOLmIb4oPaNt3V12O7WKKVtSY8rqsdffuEPKcaW/25iYQiUt7Xkn0mwsyGBkyjVDfhfgoLb199j11CimFHP2lGcLFFKS6miumALjt7NHt3V5Rq+xZuiRKae2rTmdOQ3aL/18z86nNjGln8s+C0a8RQ9lfGvBYa3sqJGyDaIVU6igw0ZydDX8yJRstuyOnGIYYkrxY0r67CnrRro9zXdjv6sQNdQ50cFnxRQo3vFDEUem3NW23qrMtgTqElOKNXvKmgKOFLuvoz6uFlOgWJ1s689ncu4e+x2ZclqGnem6sR4/IqYU9dP+/M+yEW3JkkIeLHTWx3YxBcZr4Uju8zHsyJRGphNpN0r1jwUxJZ8zGPnOk9Rb63D2Qwu6L8t4Xx8xhcpZWYKRKedmfN/UZwpyizPElCKeT8lf63i4eYWunbL9oxdTqHgXm9fURsN1iFl3pJ3RzH1+qEtMSZ895dKR1tg5Be8PxRQocExZk9FrDDcyZUHm93I9eszfb0BMGZ/xz56yK4c+RkwRU6ioZSOZQ2G4kSlrh74LUP7nZxBTyjPSKT2mHJzjq99VsJlSxBQotPUlGJnSud4xOXRGyzUGahJT1qbGlPxmg72l6VUeKkWEE1NgrHYUfmTKslzi09aOMndqDNQkppwxtss+ZzW9wrMl2JdiChU0o2Tb22vo6Lcyeo1ul4429rX2hbm87691LDlY46Um+vnK8ek5vO6yuKXPvgcQUyIiUm6qdX1Gr/IXXZbf1tfanXfUyGIeg8cSll2h+VIT6QNXr8z8NWfGjQ4LgMGcNpLTvjuGGJmSNPncjRls07yEcjdqEExLGScLHPVlnzktZZ9aonpx0YeKKdfZlA/1eOyZzF7l0K7xJd1FCcsezWCbDkkMbVAX6ffQyXZQefOn9pyC3GYQxJTC6zVs9BsZvcaiLss39rX2mQnLsjhdfF/i0rkaMDVxfuozPpXhq+1rOnd6Tdys+kFM6U+v+R9/nNFrnNlleX8jU5JOoK/IrT7eqwFTE+kzlhzS54QB6dY39Ys3xSUqH+hXr2mzj8noNYYZmTI3cc35mWxXUskrNAmGbktluZHlV1JHp6zK5HWaJ3fcV7J9aWwKFKpB5zOAbpjyT80xQDUqcC9UxJTpG83sKWc3lfZM6falOyRTQTNUQYtuw1L7u1n8BxKXzspky36asGy+HUZt9PMZPGPI1zi1ZT7bV+nTQZPOyraMyuk2Z8q9fa39x0Osm2aWxkrNpc+e8mdDlT877mz5xJXhbMqmjiW/KPU+3qOZU9WY8vWMylnSZXl/U8e9Msd3OJG49KWaMLVxaeozzhuq/OdaSirHP8zJjiXfL/U+/rVmTnojL7KJro/8KOdX7u+K6bEjr5FXxlOVao+/F7fFW3wsR6pMd9veFbNTDzSmexfj5pCyOG4t7f48qNTt73R3f8/d5+Mj5drgcp1Nmdn1kf/LpPxzhwop4/DmioWUx4WUkdtfom09P/UZX5pmydubAtCtJQ4pvQ7mHCoTEXFR/EpMyU/327VnEySGmzNlHKr1T/3bepAxOKZE25p+pmT2tMrdEK+b+v3uWKxRjNDrVcHIHd71f52YMrRDci5/WZfl/Y1MOX4MNbK3Uh+eNwejd3yptjb9DlmrBy7zkjh76vfdBb5/T5IJDZhpeJ+YkpevjikE9TcTwTgiw16fN2rVB/xbH6FjMEtbgs3sku29gwQXpuGXuqi85DtQ9h+7LO/3gtI4vhnw1kp9dL6o9xiDW0q1tf3MnrJgoH/z65r+mlO6vdf5vZ6ZJXsH+3wEx+BTZdrYcsWUp3Mt/WNdlvc7MuWkMdTIkZX66Px5Zndmon9lG8KYPntK/13wYS3nIyf7ugt6sXTOkrKhZO9gq4/gGHpaXVSOtgx0pDSI7nMyXN9nCeOIKfsr9vF5Y7wsPh07K/e+iqIRe+KX8dmWZWW7SHBp6mWdpV2/s9fumZa1ynhc33nR55GSvYPWQ+Xfxj/FK0p3RqgsJmIyfjTtb8PRp2tzu5fH8PcJWZ3r3YaS72fkDhgM29YXlm77n0u9t8+yvsrZ3bTGmpLuy1Ud731Byd5Ba8/2vz6e9E6yxffxnMrd2uND1H/nD+Tv/NRnXNBHKWubjtk3DDzwtjjHx+lLymSu5k3ZY8qzXZYPdxO+lXF018du00igUNJnT1mU+oxbmy4MPdz1JhnFN6tiMeUgzZuyx5Rou67+gvcPUeKSroNnI/ofmQKMSvrsKb3v/3NWfGjq911xVIlrYkUfwQUYsaRr0V8ZIr33vsrdv1XGplDCT9DCEr6DM1JHp/T63C3L4fM5LvNz6m9G5wE9Gr2V8Q7JSV+4m+6dUWenTJDmQwPF08/sKQd3WT6r5VzMISWviRkaA2JK8SRfR55OdzO75a6oSYxMgSJK/2bOl7ss39X0+7zUHqDozDmLmFKaLuofBi5lso8uapCRKToMGJVLU59xduLSHS0HPNtLXw9GokBBDT8GZGnTmldlMDIl4roxjE3Zoikw5KdnYUnfxbOpo1NO71hnXwVmSknrC8vG2BQq6uiETunSAdZvnoptZczq0s1tHmibTh5DTHlQU6CmMWV5akzZ2LbG+qbH1ld0b/5MTIGiuHaIQHBn23eELu/SzQ12vHX0GGLKWg2BmsaUGPDbPmualu+r7N7cXLrtF1OosJs7OqV+bmL19oQzML/t0skNNu30wjHElBWaAbWNKRtTY8ryqeee07R0R4X3ZvkuA4spVNqGjm6p97RP82NLy7PnpRyVDeaEMcSU1RoBtY0pp6fGlBcCyVEVmiml3b0t7227mALFcktCx5R81+ej4/aW521L7ewGP306+pjyOU2A2saUfi77zIiIyZYlVftuzOaWd/dpMYWqKfvkQIvj8rYlh8ae+G6c07Tk1Lg6GrG15T4f1zXdxec9Xcouw5wpKzVhaiy9/V8WEXua/j4vdlesDiZ7/AUUwiEtN2RP/7m7bf0dmYxM6X5s99JM3uX9iWUfb/czZDst89mUQ1M/7Y/EPU1/nVXBvXlXy/u9pnTb72wKKaow1fLOmNX3ZPnb45g4paOrSzb4YLTkNY7I5F0ml3KfJkyNPRs7U57xqvijqd+/GrdWsA6+3/LXIxoFYkoxrY2JOL9jnoRW18REzOtI64u6ZvzB/TBx6f5M3uFLNFbo8Pd9P3NdJc+ltF/m2aBJIKYU15djUUzEO2JNPBRPN8WNm+Jv4iUxEZckrnVml9KmMzLlscSl+c3RcL8GTM31+5X8PbGsojUws+Wv2ZoEVE12I1O6TfB2cibbmVTyOruPodvSwpK/m419jUirrpNzGAk3SsamkMJtwLMbmRJNX3JudnZu236PBkztfbKP58yp8Pt/tOWvpzQIqqbuX1/LcmRKN7syKOPYxKXf1ICpvbv7OBir8tmUmZoA1Vb3sylZjkyJiMRBvK/OYDuTv89gbApEPNHz0RWVDikRmzQAqLIsR6ZEJN+1NYu7bFyXUK6ruExPtcamRMvMKHUaldK5P+8t4dYbm0KKup9NyXJkSkTE5xOWHZ7Bdj6bsOzbmi9ENM2M0mljrWrC93wQUyqm28iUndMu8ZmEZVnMeJI048PHNV9IORt0Q63qYpbmgJhSLd1Gplw/RJlJ9yyeO/SWviJh2bOaL8RHej66vgY18OIYtZs0B8SUenRw3xqizKSvR75x6C19SV9xCOrnDbWvgYOnfnPRBzGlYrqNTLljiDKTznG8N4ft/DuNFyLijB6P1WMCxBcnyH9Uc0BMqZJFAwSNQSzvWPKeIUvsPOuzK3ZovBCH9Xz0tlrUwYvnUG7WIBBTqiSPkSkRESs7lhw7ZInv7lhygaYLkTYyZW0t6uDFcygHaxBQJd3mTFk0dMk3d5S5ZKjy6jgXBPmp0rwpd9R8zpSIiAWlfr/mTYEB/vln91FvL3PzEGUt7ijtXDsPMaXnp7gRjZqcS4k4QkyBKlrUpWvLZszHqo5ypz8G37kUxJRkh/WMKctqs0fXxaPxm7hYTIEqWdGla1uR01HexmmWs6SjpPl2HmJKRCTfnEKcF1OgEvIbmfK80ztKPiqTuLPCrkNMOcDIFDEFatJV59G1rcqg7HW6XsSUgT/FdRqZIqZAJeU7MuUF+9tKf3DA9c/q2L5D7TrElAOMTBFTqIG6zpuS15wp7bW7u+XveQMd4S2OW9qWnOY+PjDFnClAZT2T88iUF+2a5hmVv/Y1ZHJSlbMpRqZUgbMp0EdHnW/XtrfjVU5OXWdrxzrz7DTElL4+xUamiClUSD0v+lzcZflTubzaZMedNu6OB3rEjnXRiKNbljwXc+MhjRWauJsPUJOjyRd/tuT2iqcmvt7VcUrMmXrOvFiZeDFqtR1Gju2/rGdTzJlSDc6mQIePdu3aPpnr667p2a0m/6yLuXYYYkoCI1PEFKikv+zRtT2S+6tfNkBEucXOQkzp810YmSKmQOnNixXxREo0uCdOyn075sRlsa3HNmyOVfFOuwsxpQdzpogp1MRERd/XlXFh7Iz9EbE3jptWCZtiMiIiZsTs+E5ckMtWLow3xVtiXzQi4qB4JG6Nx3IaxgvNMaXZMaX817A8PlPDfq2aMWVB019bSn7HbujTbdMYBdL7Z5NKpUIxpfxnU4xMqU5McTaFnqr5heQ/ybzEYzUVKJDTezy2UfWAmFI3j6oCKAxzpoCYQosLVAEURu+7+VyvgqA6Jiv5ro6Mb8dLYu+Ba9QTMTNuismYiIiJmBUrYmZLPGvE3jgpTjowlLURe2NJ7Jm6vj0j5sSVjs+gQM7s+egOFQQAZVX+IbS9hs/eYQeXiiG0pHDRBygXI1NATAEoKCNTQEwBKCgjU0BMASio03s8tlH1gJgCMC69R6b8hwoCMQVgXC4SU0BMASim3rfC2KyCQEwBGJczhBQQUwCKaGnPR7+hgkBMARiXT/Z89IcqCMQUgPF4fxzX8/GNqgjEFIBx+Kv4esozPqySAKDcynfrwUPi4vhtzxsOvvBzQ7zGDi4Vtx4kxaQqAArhynh57D0QpPbGktgTjdibcpmn3YVx4YHfNsXMmBk3xWRMRMREzIx74waVDADFVsyzKY0R/Dxt5xeOsymkMDYFGL/RjCqZo6JBTAEY1JtUASCmAMX0+Ehe5TYVDWVjCC0wfp+I98UJbcs2NfVPE03DYTs1Yl+8NY6M/dGYWrI7Tmx71rfiT1U0iCkAgztRFQCdXPQBAMQUAAAxBQAQUwAAxBQAQEwBABBTAADEFABATAEAEFMAADEFAEBMAQAQUwAAMQUAQEwBAMQUAAAxBQAQUwAAxBQAADEFABBTAADEFABATAEAEFMAAMQUAEBMAQAQUwAAMQUAQEwBAMQUAAAxBQBATAEAxBQAADEFABBTAADEFAAAMQUAEFMAAMQUAEBMAQAQUwAAMUUVAABiCgCAmAIAiCkAAGIKACCmAPXRUAWAmAIU0x5VwBjtVQWIKUB3j6gCxuhJVUBvk6oAau3H8VwcGhMqgpHbG0/G21QDYgrQ3bGqgMLYrwpo5xgK6sagWYpqn0NnxBQQU8D/JErCEFoAQEwBgB7+WxUgpkDdfVAVUFBvVwW0cx0Q6mdePBgREc/Gzx2qMFaNmBnzIiLil3Gk6gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAARuX/ATQIcDY0a039AAAALXRFWHRpY2M6Y29weXJpZ2h0AENvcHlyaWdodCBBcnRpZmV4IFNvZnR3YXJlIDIwMTEIusW0AAAAMXRFWHRpY2M6ZGVzY3JpcHRpb24AQXJ0aWZleCBTb2Z0d2FyZSBzUkdCIElDQyBQcm9maWxlEwwBhgAAABN0RVh0cGRmOlZlcnNpb24AUERGLTEuNVM2WsEAAAAASUVORK5CYII=

This \(Y\) gate is defined by:

\[\begin{split}\begin{vmatrix} 0 & -i \\ i & 0 \\ \end{vmatrix}\end{split}\]