{"backend_name": "ibmq_toronto", "backend_version": "1.0.4", "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": [["u1", "m0", "d0", "u0"], ["u4", "u1", "u8", "u2", "d1", "u3", "u0", "m1"], ["d2", "u4", "u2", "m2", "u5", "u6"], ["m3", "u10", "d3", "u6", "u5", "u7"], ["u8", "u13", "u9", "u3", "d4", "m4"], ["u10", "u11", "d5", "m5", "u16", "u7"], ["u14", "m6", "u12", "d6"], ["u15", "u13", "u9", "u20", "u12", "m7", "u14", "d7"], ["d8", "u11", "m8", "u18", "u22", "u16", "u17", "u19"], ["d9", "u17", "u19", "m9"], ["u15", "u24", "u20", "d10", "u21", "m10"], ["d11", "m11", "u23", "u29", "u18", "u22"], ["u26", "u32", "u24", "u27", "m12", "u21", "d12", "u25"], ["d13", "m13", "u27", "u30", "u25", "u28"], ["m14", "u23", "d14", "u29", "u30", "u31", "u34", "u28"], ["u32", "m15", "u33", "d15", "u37", "u26"], ["u40", "u35", "d16", "m16", "u31", "u34"], ["m17", "d17", "u38", "u36"], ["u38", "m18", "u33", "u39", "u36", "u37", "d18", "u44"], ["m19", "u40", "u35", "u41", "d19", "u46", "u43", "u42"], ["d20", "u43", "u41", "m20"], ["u48", "u45", "u39", "m21", "d21", "u44"], ["u46", "m22", "u52", "d22", "u47", "u42"], ["m23", "d23", "u48", "u45", "u49", "u50"], ["m24", "u53", "u51", "u49", "d24", "u50"], ["u54", "d25", "u52", "u55", "u51", "u47", "u53", "m25"], ["u55", "d26", "u54", "m26"]], "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": [[4.724967650588653, 5.724967650588653], [4.503593508364897, 5.503593508364897], [4.643942092501528, 5.643942092501528], [4.710364696529445, 5.710364696529445], [4.587755510368397, 5.587755510368397], [4.667283243732768, 5.667283243732768], [4.651672343334711, 5.651672343334711], [4.415441477602981, 5.415441477602981], [4.533352552513343, 5.533352552513343], [4.582177419852189, 5.582177419852189], [4.597768334496699, 5.597768334496699], [4.616598367778465, 5.616598367778465], [4.427809475275481, 5.427809475275482], [4.627649513123853, 5.627649513123853], [4.517306818137055, 5.517306818137055], [4.591585158731421, 5.591585158731421], [4.44324115047765, 5.44324115047765], [4.657784758156985, 5.657784758156985], [4.55966630766503, 5.559666307665031], [4.569447767478781, 5.569447767478781], [4.416015777637148, 5.416015777637148], [4.644733515460044, 5.644733515460044], [4.618721374436188, 5.618721374436188], [4.597588250281603, 5.597588250281603], [4.463391490555964, 5.463391490555964], [4.564623332968818, 5.564623332968818], [4.715811482020379, 5.715811482020379]], "meas_lo_range": [[6.773017351, 7.773017351000001], [6.871558296000001, 7.871558296000001], [6.758732686, 7.758732686], [6.892926303, 7.892926303], [6.824668288000001, 7.824668288000001], [6.838835224, 7.838835224], [6.9412061970000005, 7.9412061970000005], [6.685237162000001, 7.685237162000001], [6.696141752000001, 7.696141752000001], [6.939925201, 7.939925201], [6.7603679780000006, 7.7603679780000006], [6.833820699, 7.833820699], [6.922158723000001, 7.922158723000001], [6.818395172000001, 7.818395172000001], [6.8851599210000005, 7.8851599210000005], [6.879309465, 7.879309465], [6.7674171130000005, 7.7674171130000005], [6.934408627000001, 7.934408627000001], [6.677531099, 7.677531099], [6.690135798, 7.690135798000001], [6.937817590000001, 7.937817590000001], [6.814241696000001, 7.814241696000001], [6.823410819, 7.823410819], [6.890961537000001, 7.890961537000001], [6.750984310000001, 7.750984310000001], [6.871374312, 7.871374312], [6.760855036000001, 7.760855036000001]], "meas_kernels": ["boxcar"], "discriminators": ["quadratic_discriminator", "linear_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_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + 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": -2.09704488719674, "delta1": -2.025141838109797, "delta10": -2.111020800309514, "delta11": -2.108776587211153, "delta12": -2.034516308612352, "delta13": 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