{"backend_name": "ibmq_montreal", "backend_version": "1.1.0", "n_qubits": 27, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_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]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_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]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_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]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_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]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "max_experiments": 900, "sample_name": "FalconR4", "n_registers": 1, "credits_required": true, "online_date": "2020-06-03T04:00:00+00:00", "description": "27 qubit device", "allow_q_object": true, "parametric_pulses": [], "quantum_volume": 32, "qubit_channel_mapping": [["u0", "u1", "d0", "m0"], ["m1", "u1", "d1", "u2", "u3", "u4", "u8", "u0"], ["u6", "m2", "u5", "d2", "u2", "u4"], ["m3", "u6", "u10", "d3", "u5", "u7"], ["m4", "u13", "d4", "u3", "u8", "u9"], ["u11", "u10", "u7", "d5", "m5", "u16"], ["d6", "m6", "u12", "u14"], ["d7", "m7", "u15", "u20", "u12", "u13", "u14", "u9"], ["u11", "d8", "u19", "u22", "m8", "u18", "u17", "u16"], ["u17", "m9", "u19", "d9"], ["u15", "u21", "u20", "d10", "u24", "m10"], ["u23", "u22", "m11", "d11", "u18", "u29"], ["u21", "u32", "u26", "u27", "u25", "d12", "u24", "m12"], ["u28", "d13", "m13", "u30", "u27", "u25"], ["u28", "u23", "u30", "u34", "d14", "u31", "m14", "u29"], ["m15", "u32", "u33", "u26", "d15", "u37"], ["d16", "u34", "u31", "u40", "u35", "m16"], ["u36", "u38", "d17", "m17"], ["u38", "u39", "u33", "d18", "u36", "u37", "u44", "m18"], ["u42", "u41", "u46", "u40", "u35", "m19", "u43", "d19"], ["u43", "m20", "d20", "u41"], ["m21", "u39", "d21", "u44", "u45", "u48"], ["u42", "u47", "d22", "m22", "u46", "u52"], ["u50", "m23", "d23", "u49", "u45", "u48"], ["d24", "u51", "u50", "m24", "u49", "u53"], ["u54", "u51", "u53", "u47", "d25", "u55", "u52", "m25"], ["u55", "u54", "m26", "d26"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.410706833724195, 5.410706833724195], [4.334699006181062, 5.334699006181062], [4.48228932630316, 5.48228932630316], [4.604915026615403, 5.604915026615403], [4.503756903462179, 5.503756903462179], [4.533087480609524, 5.533087480609524], [4.445993911104735, 5.445993911104735], [4.403252561356412, 5.403252561356412], [4.408141680765086, 5.408141680765086], [4.544645610417107, 5.544645610417107], [4.581901930041976, 5.581901930041976], [4.5341324932938, 5.5341324932938], [4.472289996392235, 5.472289996392235], [4.368158270128579, 5.368158270128579], [4.460737426345476, 5.460737426345476], [4.533898405140985, 5.533898405140985], [4.585541025328247, 5.585541025328247], [4.572241796687323, 5.572241796687323], [4.485132459690315, 5.485132459690315], [4.483173519249536, 5.483173519249536], [4.582250687032229, 5.582250687032229], [4.568987202581795, 5.568987202581795], [4.557002883745371, 5.557002883745371], [4.472853669753423, 5.472853669753423], [4.551495395320993, 5.551495395320993], [4.4341909099219645, 5.434190909921965], [4.499944061334511, 5.499944061334511]], "meas_lo_range": [[6.771393973, 7.771393973], [6.8857336160000004, 7.8857336160000004], [6.763340178, 7.763340178000001], [6.899158986000001, 7.899158986000001], [6.827607977, 7.827607977], [6.840916165, 7.840916165], [6.943263485, 7.943263485], [6.6921583710000005, 7.6921583710000005], [6.697564896, 7.697564896], [6.944852158000001, 7.944852158000001], [6.770849672000001, 7.770849672000001], [6.838729708000001, 7.838729708000001], [6.934767516000001, 7.934767516000001], [6.830482308000001, 7.830482308000001], [6.887795189, 7.887795189], [6.899318844000001, 7.899318844000001], [6.777288326000001, 7.777288326000001], [6.948326538000001, 7.948326538000001], [6.692928820000001, 7.692928820000001], [6.703609050000001, 7.703609050000001], [6.955696005, 7.955696005], [6.848794852, 7.848794852], [6.836494116000001, 7.836494116000001], [6.9138372100000005, 7.9138372100000005], [6.782084223, 7.782084223000001], [6.892533549, 7.892533549], [6.781974443, 7.781974443]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "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}^{26}\\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_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(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}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", 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"omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "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}, "vars": {"delta0": "nan", "delta1": "nan", "delta10": "nan", "delta11": "nan", "delta12": "nan", "delta13": "nan", "delta14": "nan", "delta15": "nan", "delta16": "nan", "delta17": 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