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5.297138482315077], [4.512299442850769, 5.512299442850769], [4.3594615936731484, 5.3594615936731484], [4.220574634752201, 5.220574634752201], [4.299698127702288, 5.299698127702288], [4.395831504247881, 5.395831504247881], [4.2857172759391355, 5.2857172759391355], [4.3902466093765575, 5.3902466093765575], [4.529858292382482, 5.529858292382482], [4.397998816816396, 5.397998816816396], [4.146788172239584, 5.146788172239584], [4.28069234609496, 5.280692346094961], [4.197386239085189, 5.197386239085189], [4.470755283802755, 5.470755283802755], [4.310974498059959, 5.310974498059959], [4.470007802677981, 5.470007802677981], [4.299602854088502, 5.299602854088502], [4.044897722453877, 5.044897722453877], [4.301370424204167, 5.301370424204167], [4.162962840757548, 5.162962840757548], [4.263564862755007, 5.263564862755007], [4.1831080539502, 5.183108053950201], [4.430679773731664, 5.430679773731664], [4.298993675928296, 5.298993675928296], [4.385343473172852, 5.385343473172852], [4.257699679556234, 5.257699679556234], [4.161078764196008, 5.161078764196008], [4.282098226285895, 5.282098226285895], [4.387046481414399, 5.387046481414399], [4.398885526524533, 5.398885526524533], [4.177359460157056, 5.1773594601570565], [4.202646307398041, 5.202646307398041], [4.381456877562824, 5.381456877562824], [4.2943588275790345, 5.2943588275790345], [4.118145099049053, 5.118145099049053], [4.284325372266449, 5.284325372266449], [4.42453611051135, 5.42453611051135], [4.277004307218613, 5.277004307218613], [4.141170220128333, 5.141170220128333], [4.325545846780799, 5.325545846780799], [4.197936744857891, 5.19793674485789], [4.332127255575972, 5.332127255575972]], "meas_lo_range": [[6.931025529, 7.931025529], [6.879874726000001, 7.879874726000001], [6.638627748, 7.638627748], [6.681994455000001, 7.681994455000001], [6.5221852920000005, 7.5221852920000005], [6.460853729, 7.460853729], [6.2927068340000005, 7.2927068340000005], [6.3600016020000005, 7.3600016020000005], [6.517050903, 7.517050903], [6.718009384, 7.718009384], [6.870179514, 7.870179514], [6.458636107, 7.458636107], [6.693552706, 7.693552706], [6.631549006, 7.631549006], [6.928378636000001, 7.928378636000001], [6.676242997, 7.676242997], [6.521403595000001, 7.521403595000001], [6.289957714000001, 7.289957714000001], [6.356367905000001, 7.356367905000001], [6.300277277, 7.300277277], [6.467915565, 7.467915565], [6.646531816, 7.646531816], [6.9342497430000005, 7.9342497430000005], [6.880085327000001, 7.880085327000001], [6.868122685, 7.868122685], [6.359533369, 7.359533369], [6.93217844, 7.93217844], [6.868515655, 7.868515655], [6.927551477000001, 7.927551477000001], [6.629408899, 7.629408899], [6.454263974000001, 7.454263974000001], [6.286364894, 7.286364894], [6.350919721, 7.350919721], [6.296352158, 7.296352158], [6.474964832, 7.474964832], [6.64500178, 7.64500178], [6.52225504, 7.52225504], [6.694787539, 7.694787539000001], [6.930048094, 7.930048094000001], [6.345262845000001, 7.345262845000001], [6.879626475, 7.879626475], [6.628710603, 7.628710603], [6.67428775, 7.67428775], [6.513314066, 7.513314066], [6.286084336, 7.286084336], [6.34421148, 7.34421148], [6.293781267, 7.293781267000001], [6.513382054, 7.513382054], [6.690925480000001, 7.690925480000001], [6.931663423000001, 7.931663423000001], [6.866626485, 7.866626485], [6.639155921, 7.639155921], [6.451296806, 7.451296806], [6.456312318, 7.456312318], [6.680874138, 7.680874138], [6.669836136000001, 7.669836136000001], [6.516555709, 7.516555709], [6.347017688, 7.347017688], [6.287395125000001, 7.287395125000001], [6.350764691, 7.350764691], [6.518512532000001, 7.518512532000001], [6.455724581, 7.455724581], [6.642298407, 7.642298407], [6.867582168, 7.867582168], [6.924685138, 7.924685138]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{64}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{36,37}(\\sigma_{36}^{+}\\sigma_{37}^{-}+\\sigma_{36}^{-}\\sigma_{37}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) \\\\ & + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{34,35}(\\sigma_{34}^{+}\\sigma_{35}^{-}+\\sigma_{34}^{-}\\sigma_{35}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{23,26}(\\sigma_{23}^{+}\\sigma_{26}^{-}+\\sigma_{23}^{-}\\sigma_{26}^{+}) + J_{0,10}(\\sigma_{0}^{+}\\sigma_{10}^{-}+\\sigma_{0}^{-}\\sigma_{10}^{+}) \\\\ & + J_{51,54}(\\sigma_{51}^{+}\\sigma_{54}^{-}+\\sigma_{51}^{-}\\sigma_{54}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) \\\\ & + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{32,33}(\\sigma_{32}^{+}\\sigma_{33}^{-}+\\sigma_{32}^{-}\\sigma_{33}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) \\\\ & + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) + J_{47,53}(\\sigma_{47}^{+}\\sigma_{53}^{-}+\\sigma_{47}^{-}\\sigma_{53}^{+}) + J_{39,45}(\\sigma_{39}^{+}\\sigma_{45}^{-}+\\sigma_{39}^{-}\\sigma_{45}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{35,40}(\\sigma_{35}^{+}\\sigma_{40}^{-}+\\sigma_{35}^{-}\\sigma_{40}^{+}) + J_{19,25}(\\sigma_{19}^{+}\\sigma_{25}^{-}+\\sigma_{19}^{-}\\sigma_{25}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{35,36}(\\sigma_{35}^{+}\\sigma_{36}^{-}+\\sigma_{35}^{-}\\sigma_{36}^{+}) + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) \\\\ & + J_{12,21}(\\sigma_{12}^{+}\\sigma_{21}^{-}+\\sigma_{12}^{-}\\sigma_{21}^{+}) + J_{38,41}(\\sigma_{38}^{+}\\sigma_{41}^{-}+\\sigma_{38}^{-}\\sigma_{41}^{+}) + J_{31,39}(\\sigma_{31}^{+}\\sigma_{39}^{-}+\\sigma_{31}^{-}\\sigma_{39}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{10,13}(\\sigma_{10}^{+}\\sigma_{13}^{-}+\\sigma_{10}^{-}\\sigma_{13}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) \\\\ & + J_{26,37}(\\sigma_{26}^{+}\\sigma_{37}^{-}+\\sigma_{26}^{-}\\sigma_{37}^{+}) + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{14,15}(\\sigma_{14}^{+}\\sigma_{15}^{-}+\\sigma_{14}^{-}\\sigma_{15}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{40,49}(\\sigma_{40}^{+}\\sigma_{49}^{-}+\\sigma_{40}^{-}\\sigma_{49}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{55,56}(\\sigma_{55}^{+}\\sigma_{56}^{-}+\\sigma_{55}^{-}\\sigma_{56}^{+}) \\\\ & + J_{4,11}(\\sigma_{4}^{+}\\sigma_{11}^{-}+\\sigma_{4}^{-}\\sigma_{11}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{33,34}(\\sigma_{33}^{+}\\sigma_{34}^{-}+\\sigma_{33}^{-}\\sigma_{34}^{+}) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{11,17}(\\sigma_{11}^{+}\\sigma_{17}^{-}+\\sigma_{11}^{-}\\sigma_{17}^{+}) \\\\ & + J_{15,24}(\\sigma_{15}^{+}\\sigma_{24}^{-}+\\sigma_{15}^{-}\\sigma_{24}^{+}) + J_{8,12}(\\sigma_{8}^{+}\\sigma_{12}^{-}+\\sigma_{8}^{-}\\sigma_{12}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) \\\\ & + J_{24,29}(\\sigma_{24}^{+}\\sigma_{29}^{-}+\\sigma_{24}^{-}\\sigma_{29}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{27,38}(\\sigma_{27}^{+}\\sigma_{38}^{-}+\\sigma_{27}^{-}\\sigma_{38}^{+}) \\\\ & + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{43,52}(\\sigma_{43}^{+}\\sigma_{52}^{-}+\\sigma_{43}^{-}\\sigma_{52}^{+}) + J_{25,33}(\\sigma_{25}^{+}\\sigma_{33}^{-}+\\sigma_{25}^{-}\\sigma_{33}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,10)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,5)}(t)+U_{8}^{(4,3)}(t)+U_{10}^{(4,11)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,4)}(t)+U_{12}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,12)}(t)+U_{18}^{(8,9)}(t)+U_{17}^{(8,7)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{21}^{(10,0)}(t)+U_{22}^{(10,13)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,4)}(t)+U_{24}^{(11,17)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,21)}(t)+U_{25}^{(12,8)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,10)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{30}^{(14,15)}(t)+U_{29}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,24)}(t)+U_{31}^{(15,14)}(t)+U_{32}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,15)}(t)+U_{35}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{38}^{(17,18)}(t)+U_{37}^{(17,16)}(t)+U_{36}^{(17,11)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{40}^{(18,19)}(t)+U_{39}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{41}^{(19,18)}(t)+U_{43}^{(19,25)}(t)+U_{42}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{45}^{(20,21)}(t)+U_{44}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{47}^{(21,20)}(t)+U_{46}^{(21,12)}(t)+U_{48}^{(21,22)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{50}^{(22,23)}(t)+U_{49}^{(22,21)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{52}^{(23,26)}(t)+U_{51}^{(23,22)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{53}^{(24,15)}(t)+U_{54}^{(24,29)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{56}^{(25,33)}(t)+U_{55}^{(25,19)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{58}^{(26,37)}(t)+U_{57}^{(26,23)}(t))\\sigma_{26}^{X} + \\Omega_{d,27}(U_{59}^{(27,28)}(t)+U_{60}^{(27,38)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{62}^{(28,29)}(t)+U_{61}^{(28,27)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{63}^{(29,24)}(t)+U_{65}^{(29,30)}(t)+U_{64}^{(29,28)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{67}^{(30,31)}(t)+U_{66}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{70}^{(31,39)}(t)+U_{68}^{(31,30)}(t)+U_{69}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{72}^{(32,33)}(t)+U_{71}^{(32,31)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{74}^{(33,32)}(t)+U_{75}^{(33,34)}(t)+U_{73}^{(33,25)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{76}^{(34,33)}(t)+U_{77}^{(34,35)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{79}^{(35,36)}(t)+U_{78}^{(35,34)}(t)+U_{80}^{(35,40)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{82}^{(36,37)}(t)+U_{81}^{(36,35)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{83}^{(37,26)}(t)+U_{84}^{(37,36)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{86}^{(38,41)}(t)+U_{85}^{(38,27)}(t))\\sigma_{38}^{X} + \\Omega_{d,39}(U_{88}^{(39,45)}(t)+U_{87}^{(39,31)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,40}(U_{89}^{(40,35)}(t)+U_{90}^{(40,49)}(t))\\sigma_{40}^{X} + \\Omega_{d,41}(U_{92}^{(41,42)}(t)+U_{91}^{(41,38)}(t))\\sigma_{41}^{X} \\\\ & + \\Omega_{d,42}(U_{94}^{(42,43)}(t)+U_{93}^{(42,41)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{97}^{(43,52)}(t)+U_{95}^{(43,42)}(t)+U_{96}^{(43,44)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{98}^{(44,43)}(t)+U_{99}^{(44,45)}(t))\\sigma_{44}^{X} + \\Omega_{d,45}(U_{101}^{(45,44)}(t)+U_{100}^{(45,39)}(t)+U_{102}^{(45,46)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,46}(U_{103}^{(46,45)}(t)+U_{104}^{(46,47)}(t))\\sigma_{46}^{X} + \\Omega_{d,47}(U_{106}^{(47,48)}(t)+U_{105}^{(47,46)}(t)+U_{107}^{(47,53)}(t))\\sigma_{47}^{X} \\\\ & + \\Omega_{d,48}(U_{109}^{(48,49)}(t)+U_{108}^{(48,47)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{111}^{(49,48)}(t)+U_{110}^{(49,40)}(t)+U_{112}^{(49,50)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{114}^{(50,51)}(t)+U_{113}^{(50,49)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{115}^{(51,50)}(t)+U_{116}^{(51,54)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{118}^{(52,56)}(t)+U_{117}^{(52,43)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{119}^{(53,47)}(t)+U_{120}^{(53,60)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{122}^{(54,64)}(t)+U_{121}^{(54,51)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{123}^{(55,56)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,56}(U_{126}^{(56,57)}(t)+U_{124}^{(56,52)}(t)+U_{125}^{(56,55)}(t))\\sigma_{56}^{X} + \\Omega_{d,57}(U_{127}^{(57,56)}(t)+U_{128}^{(57,58)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{130}^{(58,59)}(t)+U_{129}^{(58,57)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{131}^{(59,58)}(t)+U_{132}^{(59,60)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{134}^{(60,59)}(t)+U_{135}^{(60,61)}(t)+U_{133}^{(60,53)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{137}^{(61,62)}(t)+U_{136}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{139}^{(62,63)}(t)+U_{138}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{140}^{(63,62)}(t)+U_{141}^{(63,64)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{143}^{(64,63)}(t)+U_{142}^{(64,54)}(t))\\sigma_{64}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,64,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,64,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,64,-delta{i}/2*O{i}]", "_SUM[i,0,64,omegad{i}*X{i}||D{i}]", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq36q37*Sp36*Sm37", "jq36q37*Sm36*Sp37", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq34q35*Sp34*Sm35", "jq34q35*Sm34*Sp35", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq23q26*Sp23*Sm26", "jq23q26*Sm23*Sp26", "jq0q10*Sp0*Sm10", "jq0q10*Sm0*Sp10", "jq51q54*Sp51*Sm54", "jq51q54*Sm51*Sp54", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq32q33*Sp32*Sm33", "jq32q33*Sm32*Sp33", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq47q53*Sp47*Sm53", "jq47q53*Sm47*Sp53", "jq39q45*Sp39*Sm45", "jq39q45*Sm39*Sp45", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq35q40*Sp35*Sm40", "jq35q40*Sm35*Sp40", "jq19q25*Sp19*Sm25", "jq19q25*Sm19*Sp25", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq35q36*Sp35*Sm36", "jq35q36*Sm35*Sp36", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq12q21*Sp12*Sm21", "jq12q21*Sm12*Sp21", "jq38q41*Sp38*Sm41", "jq38q41*Sm38*Sp41", "jq31q39*Sp31*Sm39", "jq31q39*Sm31*Sp39", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq10q13*Sp10*Sm13", "jq10q13*Sm10*Sp13", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq26q37*Sp26*Sm37", "jq26q37*Sm26*Sp37", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq14q15*Sp14*Sm15", "jq14q15*Sm14*Sp15", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq40q49*Sp40*Sm49", "jq40q49*Sm40*Sp49", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq55q56*Sp55*Sm56", "jq55q56*Sm55*Sp56", "jq4q11*Sp4*Sm11", "jq4q11*Sm4*Sp11", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq33q34*Sp33*Sm34", "jq33q34*Sm33*Sp34", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq11q17*Sp11*Sm17", "jq11q17*Sm11*Sp17", "jq15q24*Sp15*Sm24", "jq15q24*Sm15*Sp24", "jq8q12*Sp8*Sm12", "jq8q12*Sm8*Sp12", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq24q29*Sp24*Sm29", "jq24q29*Sm24*Sp29", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq27q38*Sp27*Sm38", "jq27q38*Sm27*Sp38", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq43q52*Sp43*Sm52", "jq43q52*Sm43*Sp52", "jq25q33*Sp25*Sm33", "jq25q33*Sm25*Sp33", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "omegad1*X0||U0", "omegad10*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad5*X4||U9", "omegad3*X4||U8", "omegad11*X4||U10", "omegad4*X5||U11", "omegad6*X5||U12", "omegad7*X6||U14", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X8||U19", "omegad9*X8||U18", "omegad7*X8||U17", "omegad8*X9||U20", "omegad0*X10||U21", "omegad13*X10||U22", "omegad4*X11||U23", "omegad17*X11||U24", "omegad21*X12||U26", "omegad8*X12||U25", "omegad10*X13||U27", "omegad14*X13||U28", "omegad15*X14||U30", "omegad13*X14||U29", "omegad24*X15||U33", "omegad14*X15||U31", "omegad16*X15||U32", "omegad15*X16||U34", "omegad17*X16||U35", "omegad18*X17||U38", "omegad16*X17||U37", "omegad11*X17||U36", "omegad19*X18||U40", "omegad17*X18||U39", "omegad18*X19||U41", "omegad25*X19||U43", "omegad20*X19||U42", "omegad21*X20||U45", "omegad19*X20||U44", "omegad20*X21||U47", "omegad12*X21||U46", "omegad22*X21||U48", "omegad23*X22||U50", "omegad21*X22||U49", "omegad26*X23||U52", "omegad22*X23||U51", "omegad15*X24||U53", "omegad29*X24||U54", "omegad33*X25||U56", "omegad19*X25||U55", "omegad37*X26||U58", "omegad23*X26||U57", "omegad28*X27||U59", "omegad38*X27||U60", "omegad29*X28||U62", "omegad27*X28||U61", "omegad24*X29||U63", "omegad30*X29||U65", "omegad28*X29||U64", "omegad31*X30||U67", "omegad29*X30||U66", "omegad39*X31||U70", "omegad30*X31||U68", "omegad32*X31||U69", "omegad33*X32||U72", "omegad31*X32||U71", "omegad32*X33||U74", "omegad34*X33||U75", "omegad25*X33||U73", "omegad33*X34||U76", "omegad35*X34||U77", "omegad36*X35||U79", "omegad34*X35||U78", "omegad40*X35||U80", "omegad37*X36||U82", "omegad35*X36||U81", "omegad26*X37||U83", "omegad36*X37||U84", "omegad41*X38||U86", "omegad27*X38||U85", "omegad45*X39||U88", "omegad31*X39||U87", "omegad35*X40||U89", "omegad49*X40||U90", "omegad42*X41||U92", "omegad38*X41||U91", "omegad43*X42||U94", "omegad41*X42||U93", "omegad52*X43||U97", "omegad42*X43||U95", "omegad44*X43||U96", "omegad43*X44||U98", "omegad45*X44||U99", "omegad44*X45||U101", "omegad39*X45||U100", "omegad46*X45||U102", "omegad45*X46||U103", "omegad47*X46||U104", "omegad48*X47||U106", "omegad46*X47||U105", "omegad53*X47||U107", "omegad49*X48||U109", "omegad47*X48||U108", "omegad48*X49||U111", "omegad40*X49||U110", "omegad50*X49||U112", "omegad51*X50||U114", "omegad49*X50||U113", "omegad50*X51||U115", "omegad54*X51||U116", "omegad56*X52||U118", "omegad43*X52||U117", "omegad47*X53||U119", "omegad60*X53||U120", "omegad64*X54||U122", "omegad51*X54||U121", "omegad56*X55||U123", "omegad57*X56||U126", "omegad52*X56||U124", "omegad55*X56||U125", "omegad56*X57||U127", "omegad58*X57||U128", "omegad59*X58||U130", "omegad57*X58||U129", "omegad58*X59||U131", "omegad60*X59||U132", "omegad59*X60||U134", "omegad61*X60||U135", "omegad53*X60||U133", "omegad62*X61||U137", "omegad60*X61||U136", "omegad63*X62||U139", "omegad61*X62||U138", "omegad62*X63||U140", "omegad64*X63||U141", "omegad63*X64||U143", "omegad54*X64||U142"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3}, "vars": {"delta0": -2.082409528201026, "delta1": -2.1086921539032963, 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"cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [0, 10]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [4, 11]}, "purpose": "cross-resonance", "type": "control"}, "u100": {"operates": {"qubits": [45, 39]}, "purpose": "cross-resonance", "type": "control"}, "u101": {"operates": {"qubits": [45, 44]}, "purpose": "cross-resonance", "type": "control"}, "u102": {"operates": {"qubits": [45, 46]}, "purpose": "cross-resonance", "type": "control"}, "u103": {"operates": {"qubits": [46, 45]}, "purpose": "cross-resonance", "type": "control"}, "u104": {"operates": {"qubits": [46, 47]}, "purpose": "cross-resonance", "type": "control"}, "u105": {"operates": {"qubits": [47, 46]}, "purpose": "cross-resonance", "type": "control"}, "u106": {"operates": {"qubits": [47, 48]}, "purpose": "cross-resonance", "type": "control"}, "u107": {"operates": {"qubits": [47, 53]}, "purpose": "cross-resonance", "type": "control"}, "u108": {"operates": {"qubits": [48, 47]}, "purpose": "cross-resonance", "type": "control"}, "u109": {"operates": {"qubits": [48, 49]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}, "u110": {"operates": {"qubits": [49, 40]}, "purpose": "cross-resonance", "type": "control"}, "u111": {"operates": {"qubits": [49, 48]}, "purpose": "cross-resonance", "type": "control"}, "u112": {"operates": {"qubits": [49, 50]}, "purpose": "cross-resonance", "type": "control"}, "u113": {"operates": {"qubits": [50, 49]}, "purpose": "cross-resonance", "type": "control"}, "u114": {"operates": {"qubits": [50, 51]}, "purpose": "cross-resonance", "type": "control"}, "u115": {"operates": {"qubits": [51, 50]}, "purpose": "cross-resonance", "type": "control"}, "u116": {"operates": {"qubits": [51, 54]}, "purpose": "cross-resonance", "type": "control"}, "u117": {"operates": {"qubits": [52, 43]}, "purpose": "cross-resonance", "type": "control"}, "u118": {"operates": {"qubits": [52, 56]}, "purpose": "cross-resonance", "type": "control"}, "u119": {"operates": {"qubits": [53, 47]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u120": {"operates": {"qubits": [53, 60]}, "purpose": "cross-resonance", "type": "control"}, "u121": {"operates": {"qubits": [54, 51]}, "purpose": "cross-resonance", "type": "control"}, "u122": {"operates": {"qubits": [54, 64]}, "purpose": "cross-resonance", "type": "control"}, "u123": {"operates": {"qubits": [55, 56]}, "purpose": "cross-resonance", "type": "control"}, "u124": {"operates": {"qubits": [56, 52]}, "purpose": "cross-resonance", "type": "control"}, "u125": {"operates": {"qubits": [56, 55]}, "purpose": "cross-resonance", "type": "control"}, "u126": {"operates": {"qubits": [56, 57]}, "purpose": "cross-resonance", "type": "control"}, "u127": {"operates": {"qubits": [57, 56]}, "purpose": "cross-resonance", "type": "control"}, "u128": {"operates": {"qubits": [57, 58]}, "purpose": "cross-resonance", "type": "control"}, "u129": {"operates": {"qubits": [58, 57]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u130": {"operates": {"qubits": [58, 59]}, "purpose": "cross-resonance", "type": "control"}, "u131": {"operates": {"qubits": [59, 58]}, "purpose": "cross-resonance", "type": "control"}, "u132": {"operates": {"qubits": [59, 60]}, "purpose": "cross-resonance", "type": "control"}, "u133": {"operates": {"qubits": [60, 53]}, "purpose": "cross-resonance", "type": "control"}, "u134": {"operates": {"qubits": [60, 59]}, "purpose": "cross-resonance", "type": "control"}, "u135": {"operates": {"qubits": [60, 61]}, "purpose": "cross-resonance", "type": "control"}, "u136": {"operates": {"qubits": [61, 60]}, "purpose": "cross-resonance", "type": "control"}, "u137": {"operates": {"qubits": [61, 62]}, "purpose": "cross-resonance", "type": "control"}, "u138": {"operates": {"qubits": [62, 61]}, "purpose": "cross-resonance", "type": "control"}, "u139": {"operates": {"qubits": [62, 63]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u140": {"operates": {"qubits": [63, 62]}, "purpose": "cross-resonance", "type": "control"}, "u141": {"operates": {"qubits": [63, 64]}, "purpose": "cross-resonance", "type": "control"}, "u142": {"operates": {"qubits": [64, 54]}, "purpose": "cross-resonance", "type": "control"}, "u143": {"operates": {"qubits": [64, 63]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 7]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [8, 12]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 0]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [10, 13]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 4]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [11, 17]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 8]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 21]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 10]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 15]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [15, 14]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 16]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 24]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 15]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 17]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 11]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [17, 16]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [18, 19]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 18]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [19, 25]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [20, 21]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [21, 12]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [21, 20]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [21, 22]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [22, 21]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [22, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [23, 22]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [23, 26]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [24, 15]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [24, 29]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [25, 19]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [25, 33]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [26, 23]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [26, 37]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [27, 28]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [27, 38]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [28, 27]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [28, 29]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [29, 24]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [29, 28]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [29, 30]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [30, 29]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [30, 31]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [31, 30]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [31, 32]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [31, 39]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [32, 31]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [32, 33]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [33, 25]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [33, 32]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [33, 34]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [34, 33]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [34, 35]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [35, 34]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [35, 36]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [35, 40]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [36, 35]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [36, 37]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [37, 26]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [37, 36]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [38, 27]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [38, 41]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [39, 31]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [39, 45]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [40, 35]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [40, 49]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [41, 38]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [41, 42]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [42, 41]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [42, 43]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [43, 42]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [43, 52]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [44, 43]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [44, 45]}, "purpose": "cross-resonance", "type": "control"}}}