+{"backend_name": "ibmq_singapore", "backend_version": "1.1.13", "n_qubits": 20, "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]]}, {"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]]}, {"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]]}, {"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]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]], "max_experiments": 900, "sample_name": "HexV2", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "20 qubit device Singapore", "allow_q_object": true, "parametric_pulses": [], "quantum_volume": 16, "qubit_channel_mapping": [["u1", "d0", "u0", "m0"], ["u4", "u2", "m1", "u12", "u1", "d1", "u0", "u3"], ["u4", "u2", "u5", "m2", "u6", "d2"], ["d3", "u9", "u5", "m3", "u7", "u8", "u6", "u18"], ["u7", "u9", "d4", "m4"], ["m5", "u11", "u23", "d5", "u10", "u13"], ["m6", "u15", "u12", "u10", "u3", "d6", "u13", "u14"], ["m7", "u17", "u15", "u16", "u19", "u14", "d7", "u28"], ["u21", "m8", "u16", "u19", "u20", "u8", "d8", "u18"], ["u21", "u22", "u34", "u20", "d9", "m9"], ["u25", "m10", "d10", "u11", "u23", "u24"], ["u25", "u37", "m11", "u27", "u29", "u24", "d11", "u26"], ["d12", "u17", "u29", "u30", "u31", "m12", "u26", "u28"], ["m13", "u33", "u42", "d13", "u30", "u31", "u32", "u35"], ["d14", "u22", "u34", "m14", "u32", "u35"], ["m15", "d15", "u38", "u36"], ["u37", "u40", "m16", "u27", "u39", "u38", "d16", "u36"], ["u40", "d17", "u43", "m17", "u39", "u41"], ["u44", "d18", "u33", "u42", "u45", "u43", "m18", "u41"], ["m19", "u45", "d19", "u44"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 46, "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": 6, "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": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.176321350062806, 5.176321350062806], [4.282790529176784, 5.282790529176784], [4.185502719873838, 5.185502719873838], [4.21767569718313, 5.21767569718313], [4.064147093422013, 5.064147093422013], [3.808846173810418, 4.808846173810418], [4.162686808975333, 5.162686808975334], [4.331134269144208, 5.331134269144208], [4.123097496697334, 5.123097496697334], [4.197980034429182, 5.197980034429182], [3.9243193490113266, 4.924319349011326], [4.021508270412113, 5.021508270412114], [4.10416601470807, 5.1041660147080705], [4.125160645713068, 5.125160645713068], [4.257535595961577, 5.257535595961577], [3.9883207852468425, 4.9883207852468425], [4.238359118088121, 5.238359118088121], [4.383190383079356, 5.383190383079356], [4.028968332514318, 5.028968332514319], [4.19779891351244, 5.19779891351244]], "meas_lo_range": [[6.785777689000001, 7.785777689000001], [6.555576728, 7.555576728], [6.720664312, 7.720664312], [6.618610929000001, 7.618610929000001], [6.693309034, 7.693309034], [6.500534077, 7.500534077], [6.637857804, 7.637857804], [6.521968581, 7.521968581], [6.7839043850000005, 7.7839043850000005], [6.591852045, 7.591852045], [6.795858600000001, 7.795858600000001], [6.564261930000001, 7.564261930000001], [6.7226899300000005, 7.7226899300000005], [6.648983726, 7.648983726000001], [6.681472156000001, 7.681472156000001], [6.513838988000001, 7.513838988000001], [6.667396121, 7.667396121], [6.5362908310000005, 7.5362908310000005], [6.807096121000001, 7.807096121000001], [6.60740465, 7.60740465]], "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}^{19}\\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_{11,16}(\\sigma_{11}^{+}\\sigma_{16}^{-}+\\sigma_{11}^{-}\\sigma_{16}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{1,6}(\\sigma_{1}^{+}\\sigma_{6}^{-}+\\sigma_{1}^{-}\\sigma_{6}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) \\\\ & + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) \\\\ & + J_{3,8}(\\sigma_{3}^{+}\\sigma_{8}^{-}+\\sigma_{3}^{-}\\sigma_{8}^{+}) + J_{13,18}(\\sigma_{13}^{+}\\sigma_{18}^{-}+\\sigma_{13}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,6)}(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}^{(3,4)}(t)+U_{6}^{(3,2)}(t)+U_{8}^{(3,8)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,10)}(t)+U_{10}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{12}^{(6,1)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,7)}(t)+U_{18}^{(8,3)}(t)+U_{20}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{25}^{(11,10)}(t)+U_{26}^{(11,12)}(t)+U_{27}^{(11,16)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t)+U_{33}^{(13,18)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{34}^{(14,9)}(t)+U_{35}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t)+U_{37}^{(16,11)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{42}^{(18,13)}(t)+U_{43}^{(18,17)}(t)+U_{44}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,19,-delta{i}/2*O{i}]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq11q16*Sp11*Sm16", "jq11q16*Sm11*Sp16", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq1q6*Sp1*Sm6", "jq1q6*Sm1*Sp6", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq3q8*Sp3*Sm8", "jq3q8*Sm3*Sp8", "jq13q18*Sp13*Sm18", "jq13q18*Sm13*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad0*X1||U1", "omegad6*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad8*X3||U8", "omegad3*X4||U9", "omegad10*X5||U11", "omegad6*X5||U10", "omegad7*X6||U14", "omegad1*X6||U12", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U19", "omegad3*X8||U18", "omegad9*X8||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad10*X11||U25", "omegad12*X11||U26", "omegad16*X11||U27", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad18*X13||U33", "omegad9*X14||U34", "omegad13*X14||U35", "omegad16*X15||U36", "omegad15*X16||U38", "omegad17*X16||U39", "omegad11*X16||U37", "omegad18*X17||U41", "omegad16*X17||U40", "omegad13*X18||U42", "omegad17*X18||U43", "omegad19*X18||U44", "omegad18*X19||U45"], "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}, "vars": {"delta0": 0, "delta1": 0, "delta10": 0, "delta11": 0, "delta12": 0, "delta13": 0, "delta14": 0, "delta15": 0, "delta16": 0, "delta17": 0, "delta18": 0, "delta19": 0, "delta2": 0, "delta3": 0, "delta4": 0, "delta5": 0, "delta6": 0, "delta7": 0, "delta8": 0, "delta9": 0, "jq0q1": 0.01433892239814213, "jq10q11": 0.010525409616727677, "jq11q12": 0.015112292332169557, "jq11q16": 0.007383931535627764, "jq12q13": 0.00954723740103017, "jq13q14": 0.011743925884500983, "jq13q18": 0.008449187811309803, "jq15q16": 0.01268272946810536, "jq16q17": 0.014027838431486793, "jq17q18": 0.009991545329492273, "jq18q19": 0.005039913180091045, "jq1q2": 0.01783155649165556, "jq1q6": 0.007455172260903687, "jq2q3": 0.010483442612952266, "jq3q4": 0.010965763703036821, "jq3q8": 0.00778913964520363, "jq5q10": 0, "jq5q6": 0.014034790830320562, "jq6q7": 0.013132052583182657, "jq7q12": 0.00920812439711768, "jq7q8": 0.011895087847184233, "jq8q9": 0.013211093140145862, "jq9q14": 0.007991177432644736, "omegad0": 0.47949242926005, "omegad1": 0.46118734073033163, "omegad10": 0.3943799172798586, "omegad11": 0.43262586054427343, "omegad12": 0.40091693264351463, "omegad13": 0.37874281938149945, "omegad14": 0.4306310161386568, "omegad15": 0.36146990854842387, "omegad16": 0.6212952725431784, "omegad17": 0.4861452519032759, "omegad18": 0.28078096538595176, "omegad19": 2.1407654262304083, "omegad2": 0.5104562308366655, "omegad3": 0.36262688270569465, "omegad4": 0.5194338453827934, "omegad5": 0.34447607292812266, "omegad6": 0.4290526887210772, "omegad7": 0.48299294736914783, "omegad8": 0.40155938463476015, "omegad9": 0.6251285757697845, "wq0": 29.382193598364832, "wq1": 30.051159180241246, "wq10": 27.798818327978314, "wq11": 28.409474330944377, "wq12": 28.928828255429337, "wq13": 29.060741412489598, "wq14": 29.892477754929654, "wq15": 28.200951211771702, "wq16": 29.7719883909117, "wq17": 30.68199006712486, "wq18": 28.456347283535596, "wq19": 29.517141109465587, "wq2": 29.439881846261294, "wq3": 29.642030624579252, "wq4": 28.67738195719561, "wq5": 27.073278970182592, "wq6": 29.296525250133886, "wq7": 30.35491185689868, "wq8": 29.047778264907418, "wq9": 29.518279125748485}}, "rep_times": [1000.0], "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "dynamic_reprate_enabled": false, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "acquisition_latency": [], "conditional_latency": []}
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