qat.lang.vendors.ZZ

qat.lang.vendors.ZZ

Definition of the \(ZZ\) gate (of arity \(2\)). This gate is not included in the default gate set of myQLM, but in the gate set quobly_gate_set(), in the gate set ionq_gate_set().

from qat.lang import qrout
from qat.lang.vendors import ZZ

@qrout
def circ():
    ZZ(0, 1)
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
from qat.lang import qrout
from qat.lang.vendors import ZZ

@qrout
def ctrl_circ():
    ZZ.ctrl()(0, 1, 2)
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YHoBIm82xPS6QAqFw+crYHoDRzhWAgnxcCAABQ9ky2dwkBAADU1fyJ/FbfHB+P18TFyxcXzIkFsSfmx5yImBMLY2ssaCv3WnEx3h5vv3xrgVZcjPVxYebChLmxPD4QT+oqAAAAANDOLQ0AKsJFbgAAgLIHAABA2QMAAKDsAQAAUPYAAAAoewAAAJQ9AAAAyh4AAEDZAwAAoOwBAABQ9gAAACh7AAAAlD0AAADKHgAAAGUPAACg7AEAAFD2AAAAKHsAAACUPQAAAMoeAAAAZQ8AAICyBwAAQNkDAAAoewAAAJQ9AAAAyh4AAABlDwAAgLIHAABA2QMAAKDsAQAAlD0AAADKHgAAAGUPAACAsgcAAEDZAwAAoOwBAABQ9gAAAMoeAAAAZQ8AAICyBwAAQNkDAACg7AEAAFD2AAAAKHsAAACUPQAAgLIHAABA2QMAAKDsAQAAUPYAAAAoewAAAJQ9AAAAyh4AAEDZAwAAoOwBAABQ9gAAACh7AAAAlD0AAADKHgAAAGUPAACg7BECAABA2QMAAKDsAQAAUPYAAAAoewAAAJQ9AAAAyh4AAABlDwAAoOwBAABQ9gAAACh7AAAAlD0AAADKHgAAAGUPAACAsgcAAFD2AAAAKHsAAACUPQAAAMoeAAAAZQ8AAICyBwAAQNkDAACg7AEAAJQ9AAAAyh4AYAAtIQBQ9gDAZHtZCACUPQAw2b4mBABlmS8E0EDvjGsj4vGYH3MEA3LRinPxNx3TvjP+R1wVc213kNNWdylujdfH0vglwaCbXS80MTEAwCS7I54QBJQ90Gwv2+4BcIxL0xjbAxIBAEyaXxQClD0AAEy200KAsgcAgMn2RSFA2QMAwGR7WghQ9gAAMNnmCQHtPLcHms0NDgCYDC35jV6c7YFme5MQAADKHmCyLRICAEDZA0w2FwEAAMoeAAAAZQ8AAICyBwAAQNkDAACg7AEAAFD2AAAAKHsAAABlDwAAgLIHAABA2QMAAKDsAQAAUPYAAAAoewAAAJQ9AACAsgcAAGByzW/4939LXIxWzIvPxVd0BgAAYHLcFXvjuWh1vI7FliHaWB2taMUOwaR22vv9agEBQH6DSbMlznSVO+2vF2PpAO08PPN+kBYAQH6DytjTp+C58poaoiWQFgBAfoNK2J1S4Hw5DsXhOBRf7ph+rkdbL8x63y6hRVoAAPkNyrc9seDZHzd3vG99x3ifZYmtvdz2nk3Ci7QAAPIblOuWxJJnZ+r739T2vm6dZ41AWgAA+Q1K9WxCyXMmFvb51PGZ917s+MvjXa2BtAAA8huUZlHieZ5tA3324Mz7p2dN3TzEWSOQFgBAfoOcrUssejYM/PlTM5959XbWaxLaM7IHaQEA5DcoyROJRc/8IVpYPPOpE4mbkkvckBYAQH6DEiXfrHrRkK1Mz3zy9RFxWNmDtAAA8htUxaWxz/R0bjxPxfcPeT84kBYAQH6D3Fwcc0zPbHfOenhpy8gepAUAkN+gCnYmlifbM9p8XOKGtAAA8huUbF9icXJijBZ3KHuQFgBAfoPqmM6hOLmtR9FjZA/SAgDIb1CoDSnFyfpMNyAje5AWAEB+g5IsSSlNjo/d8iGXuCEtAID8Rt3NnYhvcTpl+oqxW/6oLgIAAMqe8u1Jmb49g7bnpUw/qOsAAICypyi3xLqUv9yXQetvTJn+pK4DAAAUJW3szVSurS8TeCZkm3HtMwDyG1TesznfcqDIGxr8cNwQ32GVIi0AgPwGs12bWpbszaT9tSmtH8jhuzxxue3TVivSAgDIb2Rrfq2XPv0G1esyaf8dKdOzH9lzYWZNLNEpAQCAVz2Seq7nSEZzOFXIyJ6bPBGIQvk1DAD5DWrbuWe/NuQ8hyyd8CBUpAUAkN/IV31vYN3rTm27M5nDypTpBzP6BotjR7TiGp0QAAAYpKKf/dqfWWGV3P6WDNq+I04Xepc4SNt2/BoGgPwGlTXdo+zZmNE8DucwsmdFbIuTPZZd2YO0AADyG5mbU9uOnf93ao3Z/r+If4w3xJ1xIS7G2+OfxPUTvk6o59ZzXWa3AAEA+Y3KqucNrHvdsiCrS9xWpUw/OODnb4pP9X3PP8Y36IIAAJC3et7S4Hd7/O2/ZDSPn0qZPugze77c5+/H4zvj9TogAACQZFkhI2PGHdlzY49bLtw/8y5jeyiea58BkN9onDpe5PZLhcwlbWM5NeDnv77tX1+LL8RH4kvx6MCfBwAA1PKJrwczmseqlPYPDNHGTfGWeNsI3wWK3IL8GgaA/EYD1O9sT+9O/J8zmsu4I3siIp7VvQAAgFFsq8XInkE520Px/BoGgPwGNevS7a/Duc+liG8D0gIAyG9kau5EfZsnM2pn3Gf2AAAAyp6Rber51w9nNJcsRvYAAACMZPdEjexxkRtlcBEAAPIbjVO3sz0/2ONvRzKby7jP7AEAAJQ9I1va428fy2geRvYAAICypzRX9fxrViN73pMy3cgeAAAgd7cWMrLnVGEje4ztoQyufQZAfqNx6nW254d7/O1kZnNZmloOAQAAyp6cnenxtz/MaB5rU6Yf1FkAAEDZk791Pf725xnN4x0p043sAQAACnC0x8ie6zKaR5Eje4ztoQyufQZAfqNx5tasO6c7nNE8jOwBAKh/EQQ1Lnvyd2vK9P1CAwBQGxeFgMkse45n1E7aM3v+SlcBAKiNLwoB7eZPyPf4aEbtrE+Z/mFdpSDfEO+JN8QlgchFKy7E3wsDAA0wFX8Xy1zXlJM5sTh+Iz6j7MkzxGk+nfOcj+jfhfiN+ClBKLwUAoDJ8+NCkLOf7HlsXkH1qoEXpP7lTzNpf6Oip1S/o+gpgWufAYDRfF7Zk5e9qX/JpjDxzJ5y+V2mDO8UAgBgJG9U9uRlSc7tb0qZbmQPk+tlIQAARvTtyp58fKSkouqoPl2IzwlBCf5RCACAEX26Pos6V2Bn/ErKdCN7inKjEJTgGSEAAEbyW3Va2HqVPV/LtfXNKdON7CnKV+JbBKFw84QAABjBL6Y+8ZIMHIlW4mt896a03IpVOX6ffL4LDN7rVgsIABOY36DmHs6t7GmlvorbQG2mKHsAIIv89iYBoV3dnl37czm1eyz1L0b2AADUzSIhoN5lz+mU6SvHanVbrEj9m5E9AAB1M0cIqLvky9zuG6PF9T0ucMt3ZI+L3CiDi9wAkN+gdp36lddjI7c2r2fR0yrhu4C0AADyG5maW8Nl3psw7a4R21oUF3v+3cgeAABQ9pRgfeLUJSMVPWf7vMPIHgAAUPaUYjph2i8P3cr8vkVPxId1EQAAoBzjj4nZMOuTv1bSyB5jeyh/63HtMwDyG1TWioRy4d4hPj8163PbYmFK0XNY2YO0AADyG5Tn4TEKhqc77gF3f0rZM63sQVoAAPkNyrSvq2A4NsCnbko4Q/SVUp7Zo+xBWgAA+Q362ttVMuzo+f6VcbTt3df0KD6KKUCUPUgLACC/QR+PdxUNp2J+4jtXxP629x2f+cttpY3sUfYgLQCA/AYD2JJQOPxxrJv1jjXxQNc7Hpn1962ljexR9iAtAID8BgNZEudTL1NLen2y4/OnShvZo+xBWgAA+Y0CzJ2A73AmFsZdA773hbgubumYtjTlvUd1DwAAoFp+JA70PMuTfNHa2hJH9jjbQxn8GgaA/Aa1d3tMxYn46qzyZXe8P65KfX+ZI3uUPUgLACC/QQHKHNmj7EFaAAD5jQLMbXwEjOwBAABlz0RbmzL9iK4BAADKnsnwjpTpT+oaAADAZCh3ZI+xPZTBtc8AyG80TtPP9hjZAwAAyp6Jljay54yOAQAAyp7JkDay58M6BgAAKHsmw0+lTP+YjgEAAMqeyZA2sueAjgEAAMqeSZA2sue0bgEAAMqeyWBkDwAAKHsmXNrIHo8qBQAAZc+EMLIHAACUPRPNyB4AAFD2TDgjewAAQNkz4aowsmeVDggAAMqe/FRhZM/1iVO/Q7cEAADGtzZaia9ThS5F8jL8g9VDgf1utYAAIL8x+Zp6tqfskT0L44PRSvnbG6IVPx2LdU4AAMjGnIZ+75OxLHH67Rle5Pa9sSm+HJdm/t2Ki7Euzscb47UDtvDXsSgWxp6YP2s9zYuvj53xCV2XkbUX3NfFESEBQH6DSd0wkl9Z+r3UuYz7+j0rkMx6v4sAAJDfaIBmXuT2vpTpL2U6l6/ktvxf0XEBAEDZ09t0yvQvZDqXebkt/zwdFwAABje/gd/5val/+f1M5/PNl//71fhcW3k5J+bFn8Tf9SheWnEx1seFjovuLsYNHS0DAAAk+OkeY2Y+Jzw0gGufAZDfYIJdE1vjS31uFvBn8XaBQloAAPmNyTKpF7l9IN4dZ+LlmH1p2CC+Nf7k8v8duhybubEoPhHv0lUAAIAqeTLzW0YfElQmhl/DAJDfaJzJvJPb92fe4vW6CgAAKHsm2+eFAIA2O+NOQaiA18Vvx2/H6xrwTbf3uBct0FCtzF/vEFQmdPtwEQCM4tHLW9CbhaJkvzOzN/utCf+mT0crWnEhlljp8hujmTOR3+qb4uPxmrh4+bk3c2JB7In5MSci5sTC2BoL2s5yteJivD3eHpeiFd3PzJkby+MD8f/oKkxQWpjtujgiJDCk5+Pqy//3XfE/hKMye7Rvjb+Y4G96MpZd/r8tsc2Kl98A6J8W/BoGo1vUtgVRrum2tTHZP1G+dtY33W3Vy28ASAuQn02ztp5zwlGx/dmHJvzbbpz1XS9Y+fIbANIC5GOdoqdSVnXsz/5to3rgyViuC8hvAEgLkLV3ztpyzgpHBezu2J81rfRuxWKdQH4DQFqALH2k7Xd2qrc3e6wh37q98FmkG8hvAEgLkJX2ofMuLqqCuzv2Zmsb883vdMZHfgNAWoDs3dG21SwQkEo40MBL3F51T9s3X6YzyG8ASAswrvVt28wGAankvmxrw779HjdSl98AkBYgO2vatpgpAamILR37sqWNi8BF9xWU3xjOHCGAxqWF2TzF+lXfGz8Y5yv8q+mcWBifid8UjYKjsTjOzPrXJ2ONTaUiTseSxh/PzN5CX4yrdQr5DYD2tODXsH5Rqe7roGgUHI2WS4lqsc3e28gYLGyLwV6dQn6jt7lCADRefZ7tfqNoFBqN9kuH3Cq4Oqb6/LsZzsd9s/51Z2zWMaCX+UIANN57a7Ok+0SjwGjsjoWz/rU5zttUKuOetn8dK7DUPhN3xjfGpZgTC2JvfD4Wx1+XGIft8UNxy8y/tsVH44TOAQCvcBFAp6W1uairFV8vGoVF4762eR23oVTIqo6ekPfd9b47puJoz754OLbG3ZXYp8tv8hsA0kKK6doc5j8qGoVFY6GDyQrbXdjauTsODtkv98TtBUfj6rb5N/tsj/wGgLTQw6kRD7uPxgfjodgQ18TqTEaZ9JvfXtEoMBrtc1tvM6nwXuyxnOby0BhF+fYSy8BpPUN+A0BaGOUAu/11IDbHqhyW4h/6zPcZ0SgwGs/6/bzC7u7oDWtzmEcWZz1PxMqS9mLX2pvLbwBIC502DPH77eLcluJ8n3mfF40Co3GzC9wq7UDO62dDhpdiHi9oH3uTPiu/ASAt9LZ/gEOXXTnfunhnn/mfFI1Co9E+v4fsNCq9D9uacesvpPS6X48tcU3cEBERb42VcVNMxVMDjvYpwom2eT6rb8hvAEgLveJRxjX6j/ddhuWiUWA0PuV380rb0rF+lmbY9oqE/vZUbOz5mcXxwAClz62Fb7232J/LbwAO86WFK27teaiytYAluKfvAdMi0SgwGrd0zO9qu4yKOd22fk5l2PKdCWc2BzVVgZ8MtinY5TcApIU06RdUnSmk3FjX92DpatEoNBotNzOo1R5sc2btPtHR8tNDt/DBPr335YJj86D8ZnMBcNAgLSRH48prWyFzX9P3MH+9aBQajT0dc1xih1ExUzmd0djX0e5NI7Vyc58efLbg6KxqXP+Q3wCQFhKtTjk42VDI3Bf2Pcy/RzQKjcbqkS9xopz91/6MWp3uOLc5uiV9+3GR8TnT8P6h7AFw2CAtXLYt8bBkfiHzXt738Ohx0Sg4GkeMjai4VR1raFMmra7P+JlQXy3xjE/n+Z4t8hsAyh5pIUq9gcDJvreJFo1io7GxY5677SwqZ3cOhemithZ3ZtDisj69+WKh27H8BoBDfWkh4YBkQUFzPtfnwOiSaBQejZZzPTXbYndm3mZWBcmbS3ySz1QpI/PkNwCkhQrb3HUwUtSTLl7oc1B0RjQKj8ZDuRxSk6W7O9bR7Rm0OfvSzq9luKzb+/TqjQp4+Q0AaaEoZ0q6gcCekgc9i8Ygh4ru4VY9BzLvGe1jhRZnurSnSuvX2xp8uab8BoC00DcSzxQ01+m+h/lLRKPwaHReGHTEjqLyW2wWj/88m8sTgF6xsk/P/mSBRbz8BoBDhwanhY2lHBjc0fcwf4FolBCNzvneZUdROVs61tGyTHv94RyWeEef3r0yt1g93djzPfIbANJClwMZPJxw3OKi+7VJNEqIxrTbGdTA6bY1dCrjfWE+D/bs3b/P5xarFY3t0fIbANJCzzicKGSO8/oe5t8hGqVEo3POU3YTld9zjX9J2uwbJOwo5OeE7teKwvr07kb2EmUPgIMHaSHWFv5LaP+nt0+LRinRWOdcTw1MZb6Ojhawxm/r08vz+4nh3ob2avkNAGmhw+zHHu4tIe7dr72iUVI0Oue9306i8vut/Zm2+JkSe3pxc97ewH6i7AFw+CAtFP4r6Jk+Bz/PiEZJ0VjbNfe77SQqZ1Xmo75mP6fqjTku+QOlndV8qpHne+Q3AKSFNksLfob5hdKGNotGPwdc4lYDuzNfR7NvXf1H8ek4Ei/GdHxP5kt+e2nnezYW+ohU+Q0AaaGSpgs9yN3Z57DnpGiUGI3O+e+0i6j8XmtnDuv9yuvncu5hna/lhfXtM/IbAMqepjlV4EHu4yUe9ojGMCXfK6/b7SIq5+7M11HvczB/kunSP9enx2/JLW77u+a1bOL7ivwGgLSQEoMlOc/pnr6H+YtEo8RotFziVgMHMl9HD/Xph/89w6V/sM+8ns4tbt2XuW2V3wBQ9jTJlae9H8l5Tuv6HuZfLRolRuN2l7jVcJ+VxVOVnunbF+/Ksfgo725urYb1FWUPgEOIhqeFIxneD6qXNX0Pd9aLRqnR6B5ndJsdRIV/psjuwP2zfXtjdgXC9SWWPU81rofLbwBIC4kRyNPCvgc794hGydFwiVsdnG5bQ6dzWvPdr+/JsZ+1v27MLXb3d83roPwGgLKnKe6a+e57cpzL8r6HOo+LRsnRuKtrKZ6ye6j8HmtLDm3m/USdMi/ubFppr+wBQFqYsWPmuy/OcS4n+xzo7BKN0qNxoMB7ajGqqVwO2gcpe14srOz5UKFlz6aJ7i/KHgCkhYTvn59zfQ5zLolGBaJRvVuJ028tHSiw7DmW2XfoN5JoKsf4Pdiwy9yUPfQ0VwiABrlyFf10bvN4IRb2/PvZmCcapUcj6U5dJ20gFbOq49+/W+C8s+uX8/sequfnya4pt+pWADRFs38N+8DMN78qpznsKfG+TaIxuB1uXl0Du3PqLacHONuzL7O5Hekzp+0F7vEn/ZG8zvbQk7M9QJN86fJ/vxBfy6X96VjX5x1LRaMS0ege4fCkzaNy1ncU0VkZZF3/UWZze7nUGHbf++5f6VgANINbGnwhnsup7Tv6/oK8QDQqEY0lbl5dA3d3rKFVmbV8Q4HP7Yl4qcSxPUmjeya5rzvbA4C0UID+T2PfJBoVica0sqcGDuS4hl7o0zsfzm2fW+yd3JJu1K7sAUDZwxjm9T24uUM0KhON7rEd+3Xhiu+rsj0n8poC7y5Y5nN7kud/v/wGgLKH0Swp8OGHopHHgeBDOnHFbMn5DMWPFlT0XNV3a3hr4b39oPwGgLKHrA4s2l97RKNC0VibsEwrdeKKaT8jdzqHObwm8VK3rAvgNaXfzfBogy5zk9/oab4QAIzpTJ+/v9hxRyrRKNcPJEw7VqEI3hgXS16CObEo/rLUJVgWS9r+/Ys5zOOrcXXcEL8S77g8r+Px2/Fg5nP5odL70x/GvV3Trsrp7o0AUCF+DcvapT6/5Z4TjYpF43Alf/1eFg/3fcJLsa//Hm8oLRrbJ+bsRL91uiv3Jbg1Ya4b5DcAlD0MZ1efg5qTolG5aHQvV9nnetZXqtypQrnRvhQHJmaPW84dDbvnult+A0DZwzAe73tQs1w0KhaN6xOWa2uJy7OpsiVPK1rxm6XE5PaOpbi7ttvE0koUls35OUZ+A0BayMU9fQ9pFopG5aKxJWHJNpa2NM9Xuuhpxd+WEpWdE3OJW7+t4kwhS3GoMTc1kN8AkBZy0P/CpDWiUcFo7ExYthtKWZJbKl7ytKIVf1OBvVSdL8g63Se+W0rr89fJbwAoexjE1X0PGNeJRiWjcbIiv3w/VIOipxWPlBCZzsv+Vk3M/rasnvdQaQWX/AaAtFBzi/oeztwjGhWNRjUG7u+rRdHTireVEJv9jbnEragnWN1Syh3k5DcApIXaW973YPFx0ahoNK5KWL7DhS/F3poUPX9QgX3U1MTsbcsrt29MmPch+Q0AZQ/9nOxzMLNTNCobjTUVWMInalL0PFrKGto8Med6VvSJb5FjlloNuamB/AaAtJCh830OZi6IRoWjMZ2wjNOFLsGdNSh4zsZD8XUlraFTHUtSXwcr9EwkZQ8Ayh4BGdIzlbghrWhkucRFPrH+2tRYHYptcVOsjLf23XYHXd7Xz3zi5tr0qGUTdGOQ3ttGscX2XycswUr5DQBlD2n2VuZqfdEYzWdLPvxLitJTAz036Fdn3r9gwHn9ag2fH7V9Yran3ZXaNk4kLMH75TcAlD0km+57mL9ENCoejaTlfG1hcz8/xriiU0MfMD9Xw+KhPToHJ2ZPW/aZlg8mLMM2+Q0AZQ9J7uh7mD9PNCofjTJ/d+88k3EkFo+w5AeG/sRztelVt3dE6Lbabh+9z/UUf3e6pCf3PCO/AaDsodumvof5G0Wj8tG4scSyp/PZKfcO9em7hn7M5NKZTzxQm361c2Iuceu1bVwsYXk2NOQW1vIbANLCmBb0Pcy/QzRqEI2rE5b1pVK2vGHPhe2Y+eSyAT9xfw3HcLTHaG9tt5CdlRvxdm1DRiLKbwBIC2NZ0vcwf1o0ahGNDyUsbTGXgM0eUn5qrO12+EKpLlt55znExTXdQlb23DoWlLJMNyh7AFD2MGzMul97RKMm0diWsLwnCpjvljFv6r165tM7ciyUyrZ/Qg7Kz/TYOtZXaruV3wBQ9jDgQUwrWvGCaNQmGkkXH+0seKsbxdYRxkzV7+B2Ms6g3lfR86BJy3OD/AaAsodXXepzmH9ONGoUjeMJy/xg7nP95Ky5LR1zqx3Uytrdx23zhJyJqOp50KQlukZ+o1nmCgFAql199pKnYpFo1Cga5xOm5X2j7Wvj5pn/vzpOj9DCshE+896Z//vTmvSuX277V11/Tjie+pcXS7zALc2ddvEoewCIiHg8NvR5x/8iGrWKxvUllD1XDoSn4sWRWviJWYXnoH5g5v++UIvetazjPNiP1HIb2RLXpvzlQlxd8rL9dcK0b7STB2CSuQhgUPf0Hby/UDRqFo2k5c739s6bMrgA8PRMG5tG+Ka31KJ/bZ+IS9yqfPHn4YTl2i6/AaDsYX3fw/w1olG7aCQt+dUFzbHINq6a9Znra7hmDtZyKzlf6RFvRxKW7IGYNPIbANLCkK7ue5i/TjRqGI2kZV+V4/wWZXBOafMIZc+mmp03ub1jndxWw61ke8Vv85FU9jwjvwGg7Gm2RX0P8+8RjVpGI2np890Gfj9a0YrfGqOF0yPcavuBmpU9O2t/idstlb+34dGEpTsuvwGg7Gmy5X0P8x8XjVpG420llD1ZbrGDj+w5XbMSon2N7K39frWKN3Q/kbB8R+U3AJQ9TXayz2H+TtGoaTSuq2HZMz1SAXPlM4dqsF42dayRxbXbSs4m9qzzlVrGpEf1HpHfaBY3sAaY7Xyfp6RcHOI3d9Go2iFR/bxvpPLuijqUEO/qKiLqZVfi86perNi9Df/Ozh2UPQBXPBMLev79bJ+/j+Y/RCv+Mv6paFQ6GmVY0nZwPagfnPX/dbhgbG3bvx6q2TqaTnye1Z7Sn9PTaZ7NCYCmcRFAur19x7Hk4ccrOgpj8qKxunYXuW0daWTP7MuZtlV+q9tc69sZbEjsU1UsNre7yA0AZQ+vmO57mL8kl/ker+QB3yRGo35lz2jlwOzxWFOV3+5O1fhAfEFij3qiksuq7IGYLwQAEXFH31EU8+NSLnO+9vJ/94lGRaNRlrUjfm5Z24F5tS2LpW3//sUarZ9lcTJx23lC1wWAKvBrWJJNfc9tbMhpzltm5nC7aOQcjbqd7Xls1lIOPrKn/X51N1d8y9te40vcknrT+tpE2tkeAJQ9DbSg72H+O3Ob95HKHfBNbjTqVvbMXsq7RigdW9GKFbXaHz1Wo71G0k2r19SowFT20EAucgOaLvlSldk+kuNlK6su/3eXaFQwGmVa1/avHQN/7tva/lXt+7V2ntP73dqsnUsJkV1UsSf1dBYEANAwfg3rHZHu1+4c533ll/lbRSP3aNTrcaVnZi3jqSE+d6hGW/jOml7itiuhHy2r+DJ/0NkeAJQ9zXa2z2H+CwUd2opG/tF4S43KnmVty7h1Qrfw1sjfskyPd/WhOjxg9QVlDwDKnia71Ocw/1xBa+OAaBQSjfqUPVvblnHwe7pdVaMtvPPWGUtrsc+4p6sHXarFch9N6PtH5TcAlD3NsLuUB3ImHUBtFI1CopH0rVbVYDsd3JoabeH7a3iJ27pCL/vM0pHCz97KbwBICxXxRN/D/GWFrQvRKCYaSd/r6gr2zbvalnCYkT0P1fRhrK24twb7jDU1eTTpoGXPB+U3AJQ9k++dfQ/zF+a8BItn5rRfNAqKRtI3e38Fe+fRkce87KzNFr65dud6FhZ4K/fsHU7o+9vkNwCUPZNuQ9/D/PyfwLG7Mpe4NScaSd/tocpvpWuH+OThWlzCFxFxqmajTJYX9tDefHwmoe9PyW8AKHsm29V9D/PvLHRNiEZR0Ug69Nteuf65fYzzIJ3frqqPK11WuxLiZMcSz6v1nv+V14fkNwCUPZNsUd/D/OkCluLK0OgzolFYNI4lfL8HK76Nnhrjs624uaJb4faaXeJ2rmN5F9d8z//K683yGwDKnuZEoPu1r+Cl2CwahUXjmYRvuLNi/XPjGE+zeW3Xt3ukFlvhYxXfZ7wwRiGa7tZ4S9wQ3xVvKG1Ln7z9v/wGgLQw41Sfw/xiDoKvrcjv3E2LxoMJ3/F4xXromTFG9qyuwSV8ERG3j/Edi7c7p0eTvtrio6WVPW+T3wBQ9kyq830O8y8UtBxXLrY6LRoFRuORhG95qFI9dMlYT0u6uSa3KH6sRpe4PZHTI3uvn2nzLQV8i7eV8CQu+Q0AaaE0z/Q5zD9V0HKsrMQlbk2Mxi2VP/jbNdZaeLTruz1fg73Q1grvM96ZU9ET8f5C+99qZQ8Ayp7m2Nt3HEtRjlXgwKOZ0biu8gd/4z1ZZarr85+t4JbYecP0pZXdZ2zIreiJeKDQ/vfmhH7/VfkNAGXPJJrue5hf1L2ZVsya50nRKDga1S57HupattuH+vzWWvyif7Qm5xyuzrHoiThS6EWWH6rBqDb5DQBpIQN39D3ML+4pHEcKvjm0aPQre15b0a1z+JJgZy3Knvblu7ei+4xFuRY9UfBtQ7Yl9IwH5DcAlD2TZlPfw/ziHpa4vvTLe5odjZcSvu/KivTTu7qW7PCQLZxI+HZXVWxrvLcm53pmL+P5HNsv5hbjOxJ6xqMxeZQ9ADQ6LSzoe5j/ztLiLxpFR+N4qWVeb0fGflTs0YRvt6bSe6CjFd1rzL61+ws5tH/rTOvXltS3WnGN/AaAsmeSLOt7mP9EgUvzyZKfqSIaSU/uma5ET12asGSrMji4rdaTezq/5cZK7jVm39p9dy5z2F7wTx/VvrhTfgNAWsgp3bdyP6hJdlPpd7ASjfeX9lDWfnZlMC4nqew5VqntcWsNLnGbfWv3vTnN43AFyh75DQBlzwQ52+cw/4VSiw7RKD4aSc8vOVzBLbMVrTiSSdlT5Rt076zgPmNvAUXPlTh8prTe9TX5DQBlz+S41Ocw/1yhS3OmY+4PikYp0ahmYZB0S/GHJq7sWTvW7bmLXg/5FT2rZubxTCHfamVCr3hafgNA2TMpdlfmgZwRSbcW/m7RKCUa1SwMkpZqydCtHE1sZ1NltsnHKn6Z1R2FFD2zL/UrZlzZ/Qm94mH5DQBlz2R4ou9h/rICl2ZvyYfaonHFgYS531Byb12fUTF2PLGdnRXd+2yv2D5jY0FFTxR+n70HK3zbdvkNAGlhLO/se5i/sOTD/F2iUVI0ki4n21iprXL0i5CeqcCZvHQbSiy1+5tXWNHz5sKfqnSsITc0UPYA0Li0sKHvYX6RzzLZk7gEt4tGSWM81ibMf2up/fXWzC5Ne6DSZU/7JXinKrXPWDJryX4/53n9ReFrpqXsAUDZM4lp4eq+h/l3Frg0T5d8ICoagxwEHim1xx7LLCbTKfG9v4L7ns0V3S+uymkON8Y1sTl+ry0GL5XW4yfzhgbKHvqYLwTARFkUz/d5x0Oxr6BlWRDnU/6ySzRKiEa6VSXOe2msSJh6ZqS2Pp8y/fsKv29gt3s7/l2lkT1Xon0qtsU3xvIMjo5acTFu7POefyzk2yUd/P8nqQKAyTfpv4b1O7exr7Al2dZjKW4VjRKi8aodlbrkZ2diTEa7w9eKStynb5C+uL9C+4wLfbeTvF7bCvl+WxLmfL38BoCyp95O9TnMKOqeVusrcbNo0Uj2swnLsLZihfrSkdp6bWqM15W8ZS6t7E21d5ZW9BR1K42djRnZo+wBoDFp4Xyfg4wLhSxF/1sIHBCNwqPRr9Qo65KrbRmXgmlRPlvytrm1oofd+0oseoq6cfrXKrHNyW8ASAuZeabPIUYRd46aqsxvvKIxXHFwpBLb46uv0UfinKzoZW7VfJLQdKlFT3n3cdsivwGg7KmvvaUeYiyLe+J0hQ52RKO3XRVZjrTD7u8eucX0S7bKvIXA2hJvWJ7ujpKLnmL63MqSH04svwEgLRRy+Jj3Acaq2BwHhzzU2S8apQ9tvythSZaXvjVmsX7eX7EC8xWPVfASt02lFz3HCvmeUw0a2aPsAWDi08KdBRzmvy2ui1WxIm6OR+LBeDoOVXYYs2iMVnBsKHwZHk6Jye4x2lzWI9bfU5G9ThVuXb2w9KKnVdBNxQ+XdisT+Q0AaSFj312BA5jqXNgiGoM5XYGDwbSYrM6l1Vb8Rkmx3lDBS6yq0PffX9I3vTUml7KHnuYKAVBz/7VWS3tWNAqMRrrf6ppS9Hmnd6X+ZbzbK1Tvt/xf7ig4T5W+RP9fJeLy0QLmkfQg3qclDZQ9AHV0Vc2W99+JRmHR6OUXEqYVO7rn21Kmj3uXrU+UepidZGXbv/6vCvS776hE7y/i7oE/2TXloKQBQFNM2kUA/85FXaKRwZZQ/G19P5RbTKoV7XsrOJy+Ob3/ucqMppPfqABne4B6W1mrpf2CaBQYjd6muqb8q0Ln/2eJU382g5afSJz68yXFuf0GBpP7oMxhvVjIXK7rmrJL6AFoikn7NeyaGp3b+AvRKDQavS0t/XxI9/z/NreW/2NFonx3BfeC5bz2FPA9u2/UPullp7M9AEgLMMDB79pC5//ajrn/XWYt/9uOln+2tBhvbcwTY6poR1cPv0t+A0DZA01zb9dBYfEXAP1GnItWtOKT8WOZtvvW+G/RilacjUcrtL/ZrdOVXNjLbwAoe8BhobMRGVvbEd1VQlKg2ytQ1stvAEgLUAEHMn5UKO0eU1SWaFdX7578stPWDIC0AAnWdh0YPigoue1tpgSkxOg3o+yU3wCQFsChYcE2iGylSvr75DcAlD3QVNMl381tkh1ti+tpASnUY40s6OU3AKQFGGiLaMVjQpJLZLcISKn9eq/8BoCyB5pst8vccnGvqJZoXUN7tfwGgLQAA24TrdgsJJlH9YCAFOpMR/yflt8AUPZA051wvidzSzsiereQFGhJY2/MLr8BIC1AqpUNfL5J3rYqJEvU+cSeY/IbAMoeaQEijrutQa77md0CUmL0W7FSfgNAQpQWIGK1y9wytdbZsxJNNfZcj/wGgLQAfexs5O1+8/KYIrIy+/hmFZ3yGwDSAgx5sEhWsZwSkALd2RH9Z+Q3AByQSAtwxTYH6xnZoIBUvstvAEgL4IBxsh1ti+JpASmx5NwmvwHg0E5agHZbnO/JYR+zRUCU7vIbANICVMkZ53vGdq8Ylua+jthvkN8AUPZIC9BtVcMvEcp+D3NAQEqL/bHGR0B+A5AYpQVIsdW5irEs7ojf3UJSmM6bciyV33QKAGWPtACDbSEnBGQoe5WNFem502IgvwFIjdICpFvRsY3cIiQj71/2CEhhTrRF/oz+J78BIC1Ab9ucsRjRbR2RWywkBblF5OU3AKQFGNZpNzYYyUEFYyX26w+Jg/wGgLQA/S3223kGe5dpASnIVuPR5DcApAUYxX1GSgxtnXM9pbhW3OU3AKQFGNWn2raUKQHp62xbxM4KSCn79GvEQn4DQFqAYZxq21auFZCh9i3rBKQQu4zqkd8AkBZgHMtcPDSEadEqwfq2mH9SfpPfAJAWYHhr2raW5wVk4D3LQQEpwFIj0OQ3AKQFyMIdRvgMpPPed7cJSQFOO78mvwEgLUA2nmjbYm4WkER7XeJWuJ1tEV8kIPIbANICjGO3w8sh9yt7BSR37WOp1giI/AaAtADjuuRMRk+3ebxrwTa0xXu9gMhvAEgLkIVzho73cNAlboWa71bh8hsA0gLkX/icF44ee5VpAcnVEkWP/AaAtAD5uTBry3lBOGZscK6ntH24okd+A0BagMw9M2vb2S0cl51o26ecFZBcnTamR36D0bwlrovVcUN8nVAgLQB9zb5R8z7hSNinOBTP0zl3b5PfYDh3xd54rmPjaMWx2DJEG6ujFa3YIZhIC9AoD83afv5AOLr2KeRn9h0FlwiH/Aa9bYkzXeVO++vFWDpAOw/bwSMtQEPdMmsL+ibhaNujPC4cuTkyE+XnBUN+g9729Cl4rrymhmgJpAVonhdc0jXj++TEQsueh4VCfoNedqcUOF+OQ3E4DsWXO6afGyDZtaIVu4QWaQEa6cfiK/EpYYiIiH8Wn46/jb+IfyIUObomzsRfxmsEQn6DdNsTC579cXPH+9Z3jPdZltjay23v2SS8SAsAIL9BuW5JLHl2pr7/TX0GZu42dBNpAQDkN6iSZxNKnjOxsM+njs+892LHXx7vag2kBQCQ36A0ixLP82wb6LMHZ94/PWvq5iHOGoG0AADyG+RsXWLRs2Hgz5+a+cyrt7Nek9CekT1ICwAgv0FJnkgseuYP0cLimU+dSNyUXOKGtAAA8huUKPlm1YuGbGV65pOvj4jDyh6kBQCQ36AqLo19pqdz43kqvn/I+8GBtAAA8hvk5uKYY3pmu3PWw0tbRvYgLQCA/AZVsDOxPNme0ebjEjekBQCQ36Bk+xKLkxNjtLhD2YO0AADyG1THdA7FyW09ih4je5AWAEB+g0JtSClO1me6ARnZg7QAAPIblGRJSmlyfOyWD7nEDWkBAOQ36m7uRHyL0ynTV4zd8kd1EQAAUPaUb0/K9O0ZtD0vZfpBXQcAAJQ9Rbkl1qX85b4MWn9jyvQndR0AAKAoaWNvpnJtfZnAMyHbjGufAZDfaID5NV/+Z1P/cm+u8z2VQRtvi/NxKf7XeHN8KubF/Pis7ggAAHS6NvVszN5M2l+b0vqBMdpcHlvi6dTl/lp8MrY4l0Su/BoGgPwGNe7e2d9eemtK61tGbG+6xxJ3vnbF7VYw0gIAyG803SOpJcORjOZwKrORPdfHM0OUPFmPUAJpAQD5DSaic89+bch5DsPaM1LJ8+prm1WNtAAA8hvNNJX7JW4rMxnZsymhhadiKm6KFbEqVsfKeFM8Er/ap/R5vxWOtAAA8htN79qzX/tzLqyGGdmzr+OzO2LtiKXcC1Y50gIAyG80S6+bA2zMaB6Hxx7Zc6ntc9sH+sydPb7ZIiseaQEA5Dea2rHzuMRt/JE952Z95uBQc06/wfUmqx5pAQDkN5phQ4+i56mM5rFqzJE9s8/03DP03N+n8EFaAAD5jWY706PsuT+jeUyPNbJn9piem0aa/x0udUNaAAD5jeZaVsglbuOM7Fkz6/1vGnkJ3pf7d0RakBYAkN+gorZVfmTPlXffMdYypI3x+ZROgLQAAPIbTerU7a8HM5rHOCN7ts+8+5ncvuutugHSAgDIb0yu1T3Lntszmss4I3uyPPO02YVuSAsAIL/RPNsqPrLnyiNH/30Om7A7uiEtAID8RuO6dPvrcO5zGeaT35DJktybsiRndQWkBQCQ3xjM3In6Nk9m1M6qlOkH+37yuln//8VoRSseHXNZplKmL4qrdF8AAJjEsqf3pV0fzmguPzVyWfWerik/Ha1YPtbSpJ3D+gndFwAAJtHuio/sOZbDkk2ltHlUd2AkLgIAQH6DijtVm5E97a+PjLE0K9zNDWkBAOQ3xlG3i9yW9vjbxzKax+gje9L9mzE+e1w3BQCA5pQ9vQfxZzWy5z0p08e7YcLrcojHDTowAABMmlsLGdlzauSRPb1ur/3WMZbor1LafLMuwQhcBACA/Ebj1Otszw/3+NvJzOayNLUcGsffj/HZhSnT79eBAQBg0sqeMz3+9ocZzWNtyvSDA336UupfvpRDPNzUAAAAJq7sWdfjb3+e0TzekTJ9sJE9P5YyfbyHll5Mmb5XBwYAgElztMfYmesymsc4I3siIpdxR3l/Z5rFtc8AyG80ztyaded0WT21Z9yRPXO6plyIb8gpHod1YAAAmLSyJ3+3pkzfP0Qbc+JHZo3x+XAsHHNcj3M6AADDMQKaCS17snqkZ9oze/5qqFZ+P+bHnPjGmBNz4r1jL9MPpEw/qvsCACS6KARMZtnz0YzaWZ8yfZRHoX4+o2X631Omf1z3BQBI9EUhoN38Wi3tnNS/fDrnOR8p8Vun3VL75yeyR/5EvC0uODGdk1Zc6HqClFgDMImm4u9imeEcOdYQX44PKHvysyD1L3+aSfsba1T0jPv41KoeliPmADC+HxeC3P1ivC6+XJ/FrVcNnP6cmmwKk/Ge2ZOPH02Zvn4CN57ftP8owdcLAQAwki/VaWHrVfYsybn9TSnTP1zid7576BKwvt5j71GC24QAABjRG5Q9+fhISUVVefdM25Yy/X5bGRlxkRsAMKo3KXvyke+NC34lZXqZI3s2J049G1sncsP5dFC8zwoBADCiP63Potar7PlaCSVGmSN70s71fMuEbjj/3L6jBIeFAAAYyffVaWHn1yy4R2NVTi3fm/qX8kb2JBdi0xP8oNI58bF4a5x34VVuLsQ/dIzmcWtPACbRc3E2lvZ4+AnjHbHNiy/Hj8ZfCkV+Ho5W4mt8rdRXWY4lLo1nDpNtX18tIABMYH5bJCDU29KcSpNjqUVPWZcAbalYEYayBwDqk9+uFhAmq0u/+lo5Vpvbepzrma7U91ysA6DsAYC++W2VgFB3yZe53TdGi+t7FD1lbTTnEpfF7xYoewBAfqORnfqV12MjtzavZ9FTzkVlexOXZINVj7QAAPIbTbEnw/JkUZ+ip4yRPesSl2SjFY+0AADyG83t1q+8luRQ9JQxsif57NM8Kx1pAQDkN0ZVz2d2JBUjvzx0K/PjbN/3FP3MnuWJN6heEpd0VQAAaHY9P8plbhtmffLXKjOy52TXEpy2ssl16/FrGADyG1TWioQS5d4hPj8163PbYmFFRvac7VqC561qpAUAkN9orofHODfzdMc94O6vxMie7ptW77OakRYAQH6j2fZ1lQnHBvjUTQlniL5SgWf2dBc966xipAUAkN+g+/k2O3q+f2UcbXv3NYmbSRkje7qLngVWL9ICAMhvEBHxeFe5cCrmJ75zRexve9/xmb/cVvrIns6i54QVi7QAAPIbXLEloWD547YLxNbEA13veGTW37eWPLKns+jZbqUiLQCA/AbtlsT5vo8dnf36ZMfnT5U6sqez6NlghSItAID8Bkk2DVjyPJ+wEZQ5sqez6FlsVSItAID8Bul+JA70LHmSL1pbW+LInnOe0YO0AADyGwzv9piKE/HVWeXL7nh/XJX6/vJG9pwzogdpAQDkNyhCWSN72oue9VYE0gIAyG/kZX7jI7A0ZfrRXOd6OhbO+teCuKgrAgBAXuY2/PuvTZl+JNdCqxVLZv51JuYMXfS04m/ixbgQb9OBAQCgv6af7XlHyvQnc5vjojg1618vxDUjtfJPIyLiSzowAADQT9Ejexa1zWXfSG1cX+gttpk8rn0GQH6jcZp+tqfYkT2L4uysf90RT4zUyv+h2wIAwDCaPbYnbWTPmQKKnrtGLHoivvXyf4/rvgAAMIhmn+1JG9nz4dyLnkVxfuSWfvDyfz+q+wIAwCCafbbnp1KmfyzXoud0zBmj6IlYfvm/f6b7AgCAsqeftJE9B3Isel6OZWO1devM/yl7AABA2dNH2sie0zkWPXti3pit/cTM/x3SfQEAgN62pty8emvGRc+VlqcyaK/l9tVk1ofc4BMA+Q0mXtoze9bmVPT8QAbt/dBMa8esQKQFAJDfYLiNI4+zKFeKnktxYwbtfUtu56SQFgBAfmOCNfcG1vmP7Jk9pudYPBhvjOUjjexpxcWEoskNDQAAQNnTR97P7Gl/Ts/qzH9zUPYAAAB95DuyZ1HqJXRZvWBULgIAQH6jcZp7A+s8n9nTfqYHAABQ9pQgz5E9RRQ9x3VdAABQ9vSW38iexYWc6fmorgsAAMqe3n4yZfqTY7b7mjhTyPK7oQEAACh7+liWMn3ckT0vFbT8yh4AAFD29PS+kouW8R3SdQEAQNnTy3TK9C/oEAAAoOyZBO9N/cvv1+QbvKzjAgAA6X66xyNAPyc8NIDHuQEgv8EEuya2xpd6FD2taMWfxdsFCmkBAOQ3Jsv8Cf1eH4h3x5l4OSIuxg1DfO5b408u/9+hy7GZG4viE/EuXQUAAKiSJ/uc0xn+5c5pTA6/hgEgv9E4k3lLg+/PvMXrdRUAAFD2TLbPCwEAACh7JpuxPQAAUFuTeUuDb46Px2viYrQiImJOLIg9MT/mRMScWBhbY0FbudeKi/H2eHtcitblf62PC5c/GzE3lscH4kldBQAAAOrBkE8A5Dcax0VuAACAsgcAAEDZAwAAoOwBAABQ9gAAACh7AAAAlD0AAADKHgAAQNkDAACg7AEAAFD2AAAAKHsAAACUPQAAAMoeAAAAZQ8AAKDsAQAAUPYAAAAoe4CaaQkBAKDsASbbBSEAAJQ9wGT7nBAAAJNvvhBAo/15nI2lMUcgAKixC/EPHVNcxE0HBzvQNBIBAJNvVRwTBGZzkRsAAJPm64UAZQ8AAJPtNiFA2QMAwGQzfp0OxvZA0xjbA8Dkuz4OCwKzOdsDTfNvhACACfesoodOzvZA81wTJyIi4nT8rZ8+AJgQrbgqvjEiIn4+fl04AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgGL8/wFBkSQ1HnWyAAAALXRFWHRpY2M6Y29weXJpZ2h0AENvcHlyaWdodCBBcnRpZmV4IFNvZnR3YXJlIDIwMTEIusW0AAAAMXRFWHRpY2M6ZGVzY3JpcHRpb24AQXJ0aWZleCBTb2Z0d2FyZSBzUkdCIElDQyBQcm9maWxlEwwBhgAAABN0RVh0cGRmOlZlcnNpb24AUERGLTEuNVM2WsEAAAAASUVORK5CYII=
Multi-controlled gate
from qat.lang import qrout
from qat.lang.vendors import ZZ

@qrout
def multi_ctrl_circ():
    ZZ.ctrl(2)(0, 1, 2, 3)
from qat.lang import qrout
from qat.lang.vendors import ZZ

@qrout
def reversed_circ():
    ZZ.dag()(0, 1)
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

This \(ZZ\) gate is defined by:

\[\begin{split}\begin{vmatrix} 1 & 0 & 0 & 0 \\ 0 & i & 0 & 0 \\ 0 & 0 & i & 0 \\ 0 & 0 & 0 & 1 \\ \end{vmatrix}\end{split}\]