Example #1
0
    def test_H4_spqe_exact(self):
        print('\n')

        # The FCI energy for H4 at 0.75 Angstrom in a sto-6g basis
        Efci = -2.1628978832666865
        # The Nuclear repulsion energy
        Enuc =  3.057468328315556

        mol = system_factory(stytem_type = 'molecule',
                                     build_type = 'external',
                                     basis='sto-6g',
                                     filename=data_path)

        Hnonzero = qforte.QuantumOperator()
        for term in mol._hamiltonian.terms():
            if abs(term[0]) > 1.0e-14:
                Hnonzero.add_term(term[0], term[1])
        mol._hamiltonian = Hnonzero
        qforte.smart_print(Hnonzero)

        alg = SPQE(mol, print_summary_file=False)
        alg.run(spqe_maxiter=20,
                spqe_thresh=1.0e-4,
                res_vec_thresh=1.0e-5,
                dt = 0.0001)

        Egs_elec = alg.get_gs_energy()
        # Egs = Egs_elec + Enuc
        Egs = Egs_elec
        self.assertLess(abs(Egs-Efci), 5.0e-11)
Example #2
0
    def test_trotterization(self):

        circ_vec = [qforte.QuantumCircuit(), qforte.build_circuit('Z_0')]
        coef_vec = [-1.0j * 0.5, -1.0j * -0.04544288414432624]

        # the operator to be exponentiated
        minus_iH = qforte.QuantumOperator()
        for i in range(len(circ_vec)):
            minus_iH.add_term(coef_vec[i], circ_vec[i])

        # exponentiate the operator
        Utrot, phase = qforte.trotterization.trotterize(minus_iH)

        inital_state = np.zeros(2**4, dtype=complex)
        inital_state[3] = np.sqrt(2 / 3)
        inital_state[12] = -np.sqrt(1 / 3)

        # initalize a quantum computer with above coeficients
        # i.e. ca|1100> + cb|0011>
        qc = qforte.QuantumComputer(4)
        qc.set_coeff_vec(inital_state)

        # apply the troterized minus_iH
        qc.apply_circuit(Utrot)
        qc.apply_constant(phase)

        qforte.smart_print(qc)

        coeffs = qc.get_coeff_vec()

        self.assertAlmostEqual(np.real(coeffs[3]), 0.6980209737879599)
        self.assertAlmostEqual(np.imag(coeffs[3]), -0.423595782342996)
        self.assertAlmostEqual(np.real(coeffs[12]), -0.5187235657531178)
        self.assertAlmostEqual(np.imag(coeffs[12]), 0.25349397560041553)
Example #3
0
    def test_H2(self):
        print('\n'),
        # The FCI energy for H2 at 1.5 Angstrom in a sto-3g basis
        E_fci = -0.9981493534

        coef_vec = [-0.4917857774144603,
                    0.09345649662931771,
                    0.09345649662931771,
                    -0.0356448161226769,
                    -0.0356448161226769,
                    0.1381758457453024,
                    0.05738398402634884,
                    -0.0573839840263488,
                    -0.0573839840263488,
                    0.05738398402634884,
                    0.08253705485911705,
                    0.13992103888546592,
                    0.13992103888546592,
                    0.08253705485911705,
                    0.1458551902800438]

        circ_vec = [
        qforte.QuantumCircuit( ),
        qforte.build_circuit( 'Z_0' ),
        qforte.build_circuit( 'Z_1' ),
        qforte.build_circuit( 'Z_2' ),
        qforte.build_circuit( 'Z_3' ),
        qforte.build_circuit( 'Z_0   Z_1' ),
        qforte.build_circuit( 'Y_0   X_1   X_2   Y_3' ),
        qforte.build_circuit( 'X_0   X_1   Y_2   Y_3' ),
        qforte.build_circuit( 'Y_0   Y_1   X_2   X_3' ),
        qforte.build_circuit( 'X_0   Y_1   Y_2   X_3' ),
        qforte.build_circuit( 'Z_0   Z_2' ),
        qforte.build_circuit( 'Z_0   Z_3' ),
        qforte.build_circuit( 'Z_1   Z_2' ),
        qforte.build_circuit( 'Z_1   Z_3' ),
        qforte.build_circuit( 'Z_2   Z_3' )]

        H2_qubit_hamiltonian = qforte.QuantumOperator()
        for i in range(len(circ_vec)):
            H2_qubit_hamiltonian.add_term(coef_vec[i], circ_vec[i])

        ref = [1,1,0,0]

        print('\nBegin QPE test for H2')
        print('----------------------')

        # make test with algorithm class
        mol = Molecule()
        mol.set_hamiltonian(H2_qubit_hamiltonian)

        alg = QPE(mol, reference=ref, trotter_number=2)
        alg.run(t = 0.4,
                nruns = 100,
                success_prob = 0.5,
                num_precise_bits = 8)

        Egs = alg.get_gs_energy()
        self.assertLess(abs(Egs-E_fci), 1.1e-3)
Example #4
0
    def test_trotterization_with_controlled_U(self):

        circ_vec = [
            qforte.build_circuit('Y_0 X_1'),
            qforte.build_circuit('X_0 Y_1')
        ]
        coef_vec = [-1.0719145972781818j, 1.0719145972781818j]

        # the operator to be exponentiated
        minus_iH = qforte.QuantumOperator()
        for i in range(len(circ_vec)):
            minus_iH.add_term(coef_vec[i], circ_vec[i])

        ancilla_idx = 2

        # exponentiate the operator
        Utrot, phase = qforte.trotterization.trotterize_w_cRz(
            minus_iH, ancilla_idx)

        # Case 1: positive control

        # initalize a quantum computer
        qc = qforte.QuantumComputer(3)

        # build HF state
        qc.apply_gate(qforte.gate('X', 0, 0))

        # put ancilla in |1> state
        qc.apply_gate(qforte.gate('X', 2, 2))

        # apply the troterized minus_iH
        qc.apply_circuit(Utrot)

        qforte.smart_print(qc)

        coeffs = qc.get_coeff_vec()

        self.assertAlmostEqual(coeffs[5], -0.5421829373 + 0.0j)
        self.assertAlmostEqual(coeffs[6], -0.840260473 + 0.0j)

        # Case 2: negitive control

        # initalize a quantum computer
        qc = qforte.QuantumComputer(3)

        # build HF state
        qc.apply_gate(qforte.gate('X', 0, 0))

        # apply the troterized minus_iH
        qc.apply_circuit(Utrot)

        qforte.smart_print(qc)

        coeffs = qc.get_coeff_vec()

        self.assertAlmostEqual(coeffs[1], 1.0 + 0.0j)
Example #5
0
    def test_H2_experiment_perfect(self):
        print('\n')
        #the RHF H2 energy at equilibrium bond length
        E_hf = -1.1166843870661929

        #the H2 qubit hamiltonian
        circ_vec = [
            qforte.QuantumCircuit(),
            qforte.build_circuit('Z_0'),
            qforte.build_circuit('Z_1'),
            qforte.build_circuit('Z_2'),
            qforte.build_circuit('Z_3'),
            qforte.build_circuit('Z_0 Z_1'),
            qforte.build_circuit('Y_0 X_1 X_2 Y_3'),
            qforte.build_circuit('Y_0 Y_1 X_2 X_3'),
            qforte.build_circuit('X_0 X_1 Y_2 Y_3'),
            qforte.build_circuit('X_0 Y_1 Y_2 X_3'),
            qforte.build_circuit('Z_0 Z_2'),
            qforte.build_circuit('Z_0 Z_3'),
            qforte.build_circuit('Z_1 Z_2'),
            qforte.build_circuit('Z_1 Z_3'),
            qforte.build_circuit('Z_2 Z_3')
        ]

        coef_vec = [
            -0.098863969784274, 0.1711977489805748, 0.1711977489805748,
            -0.222785930242875, -0.222785930242875, 0.1686221915724993,
            0.0453222020577776, -0.045322202057777, -0.045322202057777,
            0.0453222020577776, 0.1205448220329002, 0.1658670240906778,
            0.1658670240906778, 0.1205448220329002, 0.1743484418396386
        ]

        H2_qubit_hamiltonian = qforte.QuantumOperator()
        for i in range(len(circ_vec)):
            H2_qubit_hamiltonian.add_term(coef_vec[i], circ_vec[i])

        # circuit for making HF state
        circ = qforte.QuantumCircuit()
        circ.add_gate(qforte.gate('X', 0, 0))
        circ.add_gate(qforte.gate('X', 1, 1))

        TestExperiment = qforte.Experiment(4, circ, H2_qubit_hamiltonian,
                                           1000000)
        params2 = []
        avg_energy = TestExperiment.perfect_experimental_avg(params2)
        print('Perfectly Measured H2 Experimental Avg. Energy')
        print(avg_energy)
        print('H2 RHF Energy')
        print(E_hf)

        experimental_error = abs(avg_energy - E_hf)

        self.assertAlmostEqual(experimental_error, 0.0)
Example #6
0
    def test_op_exp_val_1(self):
        # test direct expectation value measurement
        trial_state = qforte.QuantumComputer(4)

        trial_prep = [None] * 5
        trial_prep[0] = qforte.gate('H', 0, 0)
        trial_prep[1] = qforte.gate('H', 1, 1)
        trial_prep[2] = qforte.gate('H', 2, 2)
        trial_prep[3] = qforte.gate('H', 3, 3)
        trial_prep[4] = qforte.gate('cX', 0, 1)

        trial_circ = qforte.QuantumCircuit()

        #prepare the circuit
        for gate in trial_prep:
            trial_circ.add_gate(gate)

        # use circuit to prepare trial state
        trial_state.apply_circuit(trial_circ)

        # gates needed for [a1^ a2] operator
        X1 = qforte.gate('X', 1, 1)
        X2 = qforte.gate('X', 2, 2)
        Y1 = qforte.gate('Y', 1, 1)
        Y2 = qforte.gate('Y', 2, 2)

        # initialize circuits to make operator
        circ1 = qforte.QuantumCircuit()
        circ1.add_gate(X2)
        circ1.add_gate(Y1)
        circ2 = qforte.QuantumCircuit()
        circ2.add_gate(Y2)
        circ2.add_gate(Y1)
        circ3 = qforte.QuantumCircuit()
        circ3.add_gate(X2)
        circ3.add_gate(X1)
        circ4 = qforte.QuantumCircuit()
        circ4.add_gate(Y2)
        circ4.add_gate(X1)

        #build the quantum operator for [a1^ a2]
        a1_dag_a2 = qforte.QuantumOperator()
        a1_dag_a2.add_term(0.0 - 0.25j, circ1)
        a1_dag_a2.add_term(0.25, circ2)
        a1_dag_a2.add_term(0.25, circ3)
        a1_dag_a2.add_term(0.0 + 0.25j, circ4)

        #get direct expectatoin value
        exp = trial_state.direct_op_exp_val(a1_dag_a2)
        self.assertAlmostEqual(exp, 0.2499999999999999 + 0.0j)
Example #7
0
    def test_jw1(self):
        """
        test JW transform of 1.0(2^ 3^ 4 6) + 1.5(1^ 2^ 3 4)
        """

        coeff_vec = [
        -0.093750,
        +0.093750j,
        -0.093750,
        -0.093750j,
        -0.093750,
        -0.093750j,
        +0.062500j,
        -0.093750,
        -0.093750,
        +0.093750j,
        +0.093750,
        -0.062500,
        -0.093750j,
        -0.062500j,
        +0.062500j,
        -0.062500,
        +0.062500,
        +0.062500,
        -0.062500j,
        -0.093750,
        +0.062500j,
        -0.062500,
        -0.062500j,
        -0.062500,
        +0.093750j,
        +0.093750j,
        +0.062500j,
        +0.093750,
        -0.062500,
        -0.062500,
        -0.093750j,
        -0.062500j
        ]

        circ_vec = [
        qforte.build_circuit('X_1 Y_2 X_3 Y_4'),
        qforte.build_circuit('X_1 Y_2 X_3 X_4'),
        qforte.build_circuit('X_1 Y_2 Y_3 X_4'),
        qforte.build_circuit('X_1 X_2 X_3 Y_4'),
        qforte.build_circuit('X_1 X_2 X_3 X_4'),
        qforte.build_circuit('X_1 X_2 Y_3 X_4'),
        qforte.build_circuit('Y_2 X_3 X_4 Z_5 X_6'),
        qforte.build_circuit('Y_1 Y_2 Y_3 Y_4'),
        qforte.build_circuit('Y_1 X_2 X_3 Y_4'),
        qforte.build_circuit('Y_1 X_2 X_3 X_4'),
        qforte.build_circuit('Y_1 Y_2 X_3 X_4'),
        qforte.build_circuit('X_2 X_3 X_4 Z_5 X_6'),
        qforte.build_circuit('Y_1 X_2 Y_3 Y_4'),
        qforte.build_circuit('X_2 Y_3 Y_4 Z_5 Y_6'),
        qforte.build_circuit('X_2 Y_3 X_4 Z_5 X_6'),
        qforte.build_circuit('X_2 Y_3 Y_4 Z_5 X_6'),
        qforte.build_circuit('X_2 X_3 Y_4 Z_5 Y_6'),
        qforte.build_circuit('Y_2 Y_3 X_4 Z_5 X_6'),
        qforte.build_circuit('X_2 X_3 Y_4 Z_5 X_6'),
        qforte.build_circuit('Y_1 X_2 Y_3 X_4'),
        qforte.build_circuit('Y_2 Y_3 X_4 Z_5 Y_6'),
        qforte.build_circuit('Y_2 X_3 X_4 Z_5 Y_6'),
        qforte.build_circuit('X_2 X_3 X_4 Z_5 Y_6'),
        qforte.build_circuit('X_2 Y_3 X_4 Z_5 Y_6'),
        qforte.build_circuit('Y_1 Y_2 Y_3 X_4'),
        qforte.build_circuit('Y_1 Y_2 X_3 Y_4'),
        qforte.build_circuit('Y_2 Y_3 Y_4 Z_5 X_6'),
        qforte.build_circuit('X_1 X_2 Y_3 Y_4'),
        qforte.build_circuit('Y_2 Y_3 Y_4 Z_5 Y_6'),
        qforte.build_circuit('Y_2 X_3 Y_4 Z_5 X_6'),
        qforte.build_circuit('X_1 Y_2 Y_3 Y_4'),
        qforte.build_circuit('Y_2 X_3 Y_4 Z_5 Y_6')
        ]

        correct_op = qforte.QuantumOperator()
        for i in range(len(circ_vec)):
            correct_op.add_term(coeff_vec[i], circ_vec[i])

        # Test qforte construction
        a1 = qforte.SQOperator()
        a1.add_term(1.00, [ 2, 3, 4, 6] )
        a1.add_term(+1.50, [ 1, 2, 3, 4])
        print(a1.str(), '\n')
        aop = a1.jw_transform()
        print(aop.str(), '\n')
        self.assertTrue(aop.check_op_equivalence(correct_op, True))
Example #8
0
    def test_H4_physical_qkd(self):
        print('\n')
        # The FCI energy for H4 at 1.5 Angstrom in a sto-6g basis
        E_fci = -2.0126741263939656

        # The He hamilitonian
        circ_vec = [
        qforte.QuantumCircuit(),
         qforte.build_circuit('Z_0'),
         qforte.build_circuit('Y_0 Z_1 Z_2 Z_3 Y_4'),
         qforte.build_circuit('X_0 Z_1 Z_2 Z_3 X_4'),
         qforte.build_circuit('Z_1'),
         qforte.build_circuit('Y_1 Z_2 Z_3 Z_4 Y_5'),
         qforte.build_circuit('X_1 Z_2 Z_3 Z_4 X_5'),
         qforte.build_circuit('Z_2'),
         qforte.build_circuit('Y_2 Z_3 Z_4 Z_5 Y_6'),
         qforte.build_circuit('X_2 Z_3 Z_4 Z_5 X_6'),
         qforte.build_circuit('Z_3'),
         qforte.build_circuit('Y_3 Z_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('X_3 Z_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('Z_4'),
         qforte.build_circuit('Z_5'),
         qforte.build_circuit('Z_6'),
         qforte.build_circuit('Z_7'),
         qforte.build_circuit('Z_0 Z_1'),
         qforte.build_circuit('Y_0 Z_2 Z_3 Y_4'),
         qforte.build_circuit('X_0 Z_2 Z_3 X_4'),
         qforte.build_circuit('Y_0 X_1 X_2 Y_3'),
         qforte.build_circuit('X_0 X_1 Y_2 Y_3'),
         qforte.build_circuit('Y_0 Y_1 X_2 X_3'),
         qforte.build_circuit('X_0 Y_1 Y_2 X_3'),
         qforte.build_circuit('Y_0 X_1 X_3 Z_4 Z_5 Y_6'),
         qforte.build_circuit('X_0 X_1 X_3 Z_4 Z_5 X_6'),
         qforte.build_circuit('Y_0 Y_1 Y_3 Z_4 Z_5 Y_6'),
         qforte.build_circuit('X_0 Y_1 Y_3 Z_4 Z_5 X_6'),
         qforte.build_circuit('Z_0 Y_1 Z_2 Z_3 Z_4 Y_5'),
         qforte.build_circuit('Z_0 X_1 Z_2 Z_3 Z_4 X_5'),
         qforte.build_circuit('Y_0 X_1 X_4 Y_5'),
         qforte.build_circuit('X_0 X_1 Y_4 Y_5'),
         qforte.build_circuit('Y_0 Y_1 X_4 X_5'),
         qforte.build_circuit('X_0 Y_1 Y_4 X_5'),
         qforte.build_circuit('Y_0 X_1 X_2 Z_3 Z_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('X_0 X_1 Y_2 Z_3 Z_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('Y_0 Y_1 X_2 Z_3 Z_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('X_0 Y_1 Y_2 Z_3 Z_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('Y_0 X_1 X_6 Y_7'),
         qforte.build_circuit('X_0 X_1 Y_6 Y_7'),
         qforte.build_circuit('Y_0 Y_1 X_6 X_7'),
         qforte.build_circuit('X_0 Y_1 Y_6 X_7'),
         qforte.build_circuit('Z_0 Z_2'),
         qforte.build_circuit('Z_0 Y_2 Z_3 Z_4 Z_5 Y_6'),
         qforte.build_circuit('Z_0 X_2 Z_3 Z_4 Z_5 X_6'),
         qforte.build_circuit('Y_0 Z_1 Z_3 Y_4'),
         qforte.build_circuit('X_0 Z_1 Z_3 X_4'),
         qforte.build_circuit('Y_0 Z_1 X_2 X_4 Z_5 Y_6'),
         qforte.build_circuit('X_0 Z_1 X_2 X_4 Z_5 X_6'),
         qforte.build_circuit('X_0 Z_1 X_2 Y_4 Z_5 Y_6'),
         qforte.build_circuit('Y_0 Z_1 Y_2 X_4 Z_5 X_6'),
         qforte.build_circuit('Y_0 Z_1 Y_2 Y_4 Z_5 Y_6'),
         qforte.build_circuit('X_0 Z_1 Y_2 Y_4 Z_5 X_6'),
         qforte.build_circuit('Z_0 Z_3'),
         qforte.build_circuit('Y_0 Z_1 Z_2 Y_4'),
         qforte.build_circuit('X_0 Z_1 Z_2 X_4'),
         qforte.build_circuit('Y_0 Z_1 Y_2 Y_3 Z_4 Y_5'),
         qforte.build_circuit('X_0 Z_1 X_2 Y_3 Z_4 Y_5'),
         qforte.build_circuit('Y_0 Z_1 Y_2 X_3 Z_4 X_5'),
         qforte.build_circuit('X_0 Z_1 X_2 X_3 Z_4 X_5'),
         qforte.build_circuit('Y_0 Z_1 Z_2 X_3 X_5 Y_6'),
         qforte.build_circuit('X_0 Z_1 Z_2 X_3 X_5 X_6'),
         qforte.build_circuit('Y_0 Z_1 Z_2 Y_3 Y_5 Y_6'),
         qforte.build_circuit('X_0 Z_1 Z_2 Y_3 Y_5 X_6'),
         qforte.build_circuit('Z_0 Y_3 Z_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('Z_0 X_3 Z_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('Y_0 Z_1 Z_2 X_3 X_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('X_0 Z_1 Z_2 X_3 Y_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('Y_0 Z_1 Z_2 Y_3 X_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('X_0 Z_1 Z_2 Y_3 Y_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('Z_0 Z_4'),
         qforte.build_circuit('Z_0 Z_5'),
         qforte.build_circuit('Y_0 Z_1 Z_2 Z_3 Y_4 Z_5'),
         qforte.build_circuit('X_0 Z_1 Z_2 Z_3 X_4 Z_5'),
         qforte.build_circuit('Y_0 Z_1 Y_2 Y_5 Z_6 Y_7'),
         qforte.build_circuit('X_0 Z_1 X_2 Y_5 Z_6 Y_7'),
         qforte.build_circuit('Y_0 Z_1 Y_2 X_5 Z_6 X_7'),
         qforte.build_circuit('X_0 Z_1 X_2 X_5 Z_6 X_7'),
         qforte.build_circuit('Y_0 Z_1 Z_2 Z_3 Z_4 X_5 X_6 Y_7'),
         qforte.build_circuit('X_0 Z_1 Z_2 Z_3 Z_4 X_5 Y_6 Y_7'),
         qforte.build_circuit('Y_0 Z_1 Z_2 Z_3 Z_4 Y_5 X_6 X_7'),
         qforte.build_circuit('X_0 Z_1 Z_2 Z_3 Z_4 Y_5 Y_6 X_7'),
         qforte.build_circuit('Z_0 Z_6'),
         qforte.build_circuit('Y_0 Z_1 Z_2 Z_3 Y_4 Z_6'),
         qforte.build_circuit('X_0 Z_1 Z_2 Z_3 X_4 Z_6'),
         qforte.build_circuit('Z_0 Z_7'),
         qforte.build_circuit('Y_0 Z_1 Z_2 Z_3 Y_4 Z_7'),
         qforte.build_circuit('X_0 Z_1 Z_2 Z_3 X_4 Z_7'),
         qforte.build_circuit('Z_1 Z_2'),
         qforte.build_circuit('Y_1 Z_3 Z_4 Y_5'),
         qforte.build_circuit('X_1 Z_3 Z_4 X_5'),
         qforte.build_circuit('Y_1 X_2 X_3 Y_4'),
         qforte.build_circuit('X_1 X_2 Y_3 Y_4'),
         qforte.build_circuit('Y_1 Y_2 X_3 X_4'),
         qforte.build_circuit('X_1 Y_2 Y_3 X_4'),
         qforte.build_circuit('Y_1 X_2 X_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('X_1 X_2 X_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('Y_1 Y_2 Y_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('X_1 Y_2 Y_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('Z_1 Y_2 Z_3 Z_4 Z_5 Y_6'),
         qforte.build_circuit('Z_1 X_2 Z_3 Z_4 Z_5 X_6'),
         qforte.build_circuit('Y_1 X_2 X_5 Y_6'),
         qforte.build_circuit('X_1 X_2 Y_5 Y_6'),
         qforte.build_circuit('Y_1 Y_2 X_5 X_6'),
         qforte.build_circuit('X_1 Y_2 Y_5 X_6'),
         qforte.build_circuit('Z_1 Z_3'),
         qforte.build_circuit('Z_1 Y_3 Z_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('Z_1 X_3 Z_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('Y_1 Z_2 Z_4 Y_5'),
         qforte.build_circuit('X_1 Z_2 Z_4 X_5'),
         qforte.build_circuit('Y_1 Z_2 X_3 X_5 Z_6 Y_7'),
         qforte.build_circuit('X_1 Z_2 X_3 X_5 Z_6 X_7'),
         qforte.build_circuit('X_1 Z_2 X_3 Y_5 Z_6 Y_7'),
         qforte.build_circuit('Y_1 Z_2 Y_3 X_5 Z_6 X_7'),
         qforte.build_circuit('Y_1 Z_2 Y_3 Y_5 Z_6 Y_7'),
         qforte.build_circuit('X_1 Z_2 Y_3 Y_5 Z_6 X_7'),
         qforte.build_circuit('Z_1 Z_4'),
         qforte.build_circuit('Y_1 Z_2 Z_3 Y_5'),
         qforte.build_circuit('X_1 Z_2 Z_3 X_5'),
         qforte.build_circuit('Y_1 Z_2 Y_3 Y_4 Z_5 Y_6'),
         qforte.build_circuit('X_1 Z_2 X_3 Y_4 Z_5 Y_6'),
         qforte.build_circuit('Y_1 Z_2 Y_3 X_4 Z_5 X_6'),
         qforte.build_circuit('X_1 Z_2 X_3 X_4 Z_5 X_6'),
         qforte.build_circuit('Y_1 Z_2 Z_3 X_4 X_6 Y_7'),
         qforte.build_circuit('X_1 Z_2 Z_3 X_4 X_6 X_7'),
         qforte.build_circuit('Y_1 Z_2 Z_3 Y_4 Y_6 Y_7'),
         qforte.build_circuit('X_1 Z_2 Z_3 Y_4 Y_6 X_7'),
         qforte.build_circuit('Z_1 Z_5'),
         qforte.build_circuit('Z_1 Z_6'),
         qforte.build_circuit('Y_1 Z_2 Z_3 Z_4 Y_5 Z_6'),
         qforte.build_circuit('X_1 Z_2 Z_3 Z_4 X_5 Z_6'),
         qforte.build_circuit('Z_1 Z_7'),
         qforte.build_circuit('Y_1 Z_2 Z_3 Z_4 Y_5 Z_7'),
         qforte.build_circuit('X_1 Z_2 Z_3 Z_4 X_5 Z_7'),
         qforte.build_circuit('Z_2 Z_3'),
         qforte.build_circuit('Y_2 Z_4 Z_5 Y_6'),
         qforte.build_circuit('X_2 Z_4 Z_5 X_6'),
         qforte.build_circuit('Y_2 X_3 X_4 Y_5'),
         qforte.build_circuit('X_2 X_3 Y_4 Y_5'),
         qforte.build_circuit('Y_2 Y_3 X_4 X_5'),
         qforte.build_circuit('X_2 Y_3 Y_4 X_5'),
         qforte.build_circuit('Z_2 Y_3 Z_4 Z_5 Z_6 Y_7'),
         qforte.build_circuit('Z_2 X_3 Z_4 Z_5 Z_6 X_7'),
         qforte.build_circuit('Y_2 X_3 X_6 Y_7'),
         qforte.build_circuit('X_2 X_3 Y_6 Y_7'),
         qforte.build_circuit('Y_2 Y_3 X_6 X_7'),
         qforte.build_circuit('X_2 Y_3 Y_6 X_7'),
         qforte.build_circuit('Z_2 Z_4'),
         qforte.build_circuit('Y_2 Z_3 Z_5 Y_6'),
         qforte.build_circuit('X_2 Z_3 Z_5 X_6'),
         qforte.build_circuit('Z_2 Z_5'),
         qforte.build_circuit('Y_2 Z_3 Z_4 Y_6'),
         qforte.build_circuit('X_2 Z_3 Z_4 X_6'),
         qforte.build_circuit('Y_2 Z_3 Y_4 Y_5 Z_6 Y_7'),
         qforte.build_circuit('X_2 Z_3 X_4 Y_5 Z_6 Y_7'),
         qforte.build_circuit('Y_2 Z_3 Y_4 X_5 Z_6 X_7'),
         qforte.build_circuit('X_2 Z_3 X_4 X_5 Z_6 X_7'),
         qforte.build_circuit('Z_2 Z_6'),
         qforte.build_circuit('Z_2 Z_7'),
         qforte.build_circuit('Y_2 Z_3 Z_4 Z_5 Y_6 Z_7'),
         qforte.build_circuit('X_2 Z_3 Z_4 Z_5 X_6 Z_7'),
         qforte.build_circuit('Z_3 Z_4'),
         qforte.build_circuit('Y_3 Z_5 Z_6 Y_7'),
         qforte.build_circuit('X_3 Z_5 Z_6 X_7'),
         qforte.build_circuit('Y_3 X_4 X_5 Y_6'),
         qforte.build_circuit('X_3 X_4 Y_5 Y_6'),
         qforte.build_circuit('Y_3 Y_4 X_5 X_6'),
         qforte.build_circuit('X_3 Y_4 Y_5 X_6'),
         qforte.build_circuit('Z_3 Z_5'),
         qforte.build_circuit('Y_3 Z_4 Z_6 Y_7'),
         qforte.build_circuit('X_3 Z_4 Z_6 X_7'),
         qforte.build_circuit('Z_3 Z_6'),
         qforte.build_circuit('Y_3 Z_4 Z_5 Y_7'),
         qforte.build_circuit('X_3 Z_4 Z_5 X_7'),
         qforte.build_circuit('Z_3 Z_7'),
         qforte.build_circuit('Z_4 Z_5'),
         qforte.build_circuit('Y_4 X_5 X_6 Y_7'),
         qforte.build_circuit('X_4 X_5 Y_6 Y_7'),
         qforte.build_circuit('Y_4 Y_5 X_6 X_7'),
         qforte.build_circuit('X_4 Y_5 Y_6 X_7'),
         qforte.build_circuit('Z_4 Z_6'),
         qforte.build_circuit('Z_4 Z_7'),
         qforte.build_circuit('Z_5 Z_6'),
         qforte.build_circuit('Z_5 Z_7'),
         qforte.build_circuit('Z_6 Z_7')]

        coef_vec = [
        -0.9398866173443505,
        0.12129073807829349,
        0.00641125283150221,
        0.00641125283150221,
        0.12129073807829353,
        0.0064112528315022135,
        0.0064112528315022135,
        0.07308734612725618,
        -0.010595295586558178,
        -0.010595295586558178,
        0.0730873461272563,
        -0.010595295586558171,
        -0.010595295586558171,
        -0.004903180263267734,
        -0.0049031802632676785,
        -0.0972417632017775,
        -0.09724176320177753,
        0.10115751743776852,
        0.016853161923367253,
        0.016853161923367253,
        0.03977035285263866,
        -0.03977035285263866,
        -0.03977035285263866,
        0.03977035285263866,
        0.00905981792020611,
        0.00905981792020611,
        0.00905981792020611,
        0.00905981792020611,
        0.016853161923367253,
        0.016853161923367253,
        0.028827330860814942,
        -0.028827330860814942,
        -0.028827330860814942,
        0.028827330860814942,
        -0.00905981792020611,
        0.00905981792020611,
        0.00905981792020611,
        -0.00905981792020611,
        0.027456714140683562,
        -0.027456714140683562,
        -0.027456714140683562,
        0.027456714140683562,
        0.05019794254014193,
        0.008400644724214635,
        0.008400644724214635,
        0.01678679876377047,
        0.01678679876377047,
        0.008370670304957601,
        0.019986723846961468,
        0.011616053542003863,
        0.011616053542003863,
        0.019986723846961468,
        0.008370670304957601,
        0.08996829539278059,
        -0.00401664635059683,
        -0.00401664635059683,
        0.020803445114367297,
        0.020803445114367297,
        0.020803445114367297,
        0.020803445114367297,
        -0.020045295426307817,
        -0.020045295426307817,
        -0.020045295426307817,
        -0.020045295426307817,
        0.01746046264442075,
        0.01746046264442075,
        0.028415965731265418,
        -0.028415965731265418,
        -0.028415965731265418,
        0.028415965731265418,
        0.062364797002734416,
        0.09119212786354935,
        -0.0029292718691351837,
        -0.0029292718691351837,
        0.040032019273269284,
        0.040032019273269284,
        0.040032019273269284,
        0.040032019273269284,
        -0.008895760438436422,
        0.008895760438436422,
        0.008895760438436422,
        -0.008895760438436422,
        0.077813400984472,
        0.008622786573744252,
        0.008622786573744252,
        0.10527011512515555,
        0.017518547012180676,
        0.017518547012180676,
        0.08996829539278059,
        -0.00401664635059683,
        -0.00401664635059683,
        0.020803445114367297,
        -0.020803445114367297,
        -0.020803445114367297,
        0.020803445114367297,
        -0.020045295426307817,
        -0.020045295426307817,
        -0.020045295426307817,
        -0.020045295426307817,
        0.01746046264442075,
        0.01746046264442075,
        0.028415965731265418,
        -0.028415965731265418,
        -0.028415965731265418,
        0.028415965731265418,
        0.05019794254014193,
        0.008400644724214635,
        0.008400644724214635,
        0.01678679876377047,
        0.01678679876377047,
        0.008370670304957601,
        0.019986723846961468,
        0.011616053542003863,
        0.011616053542003863,
        0.019986723846961468,
        0.008370670304957601,
        0.09119212786354935,
        -0.0029292718691351837,
        -0.0029292718691351837,
        0.040032019273269284,
        0.040032019273269284,
        0.040032019273269284,
        0.040032019273269284,
        0.008895760438436422,
        0.008895760438436422,
        0.008895760438436422,
        0.008895760438436422,
        0.062364797002734416,
        0.10527011512515555,
        0.017518547012180676,
        0.017518547012180676,
        0.077813400984472,
        0.008622786573744252,
        0.008622786573744252,
        0.09416046345893181,
        -0.0025909758017290006,
        -0.0025909758017290006,
        0.035233425879700006,
        -0.035233425879700006,
        -0.035233425879700006,
        0.035233425879700006,
        -0.0025909758017290006,
        -0.0025909758017290006,
        0.029476085351951252,
        -0.029476085351951252,
        -0.029476085351951252,
        0.029476085351951252,
        0.05898073895378817,
        0.018463477774636035,
        0.018463477774636035,
        0.09421416483348818,
        -0.003276374161489622,
        -0.003276374161489622,
        0.02173985193612566,
        0.02173985193612566,
        0.02173985193612566,
        0.02173985193612566,
        0.06484557443787466,
        0.0943216597898259,
        0.01867832322072119,
        0.01867832322072119,
        0.09421416483348818,
        -0.003276374161489622,
        -0.003276374161489622,
        0.02173985193612566,
        -0.02173985193612566,
        -0.02173985193612566,
        0.02173985193612566,
        0.05898073895378817,
        0.018463477774636035,
        0.018463477774636035,
        0.0943216597898259,
        0.01867832322072119,
        0.01867832322072119,
        0.06484557443787466,
        0.0970891982291751,
        0.042405629926062886,
        -0.042405629926062886,
        -0.042405629926062886,
        0.042405629926062886,
        0.05395287215237218,
        0.09635850207843506,
        0.09635850207843506,
        0.05395287215237218,
        0.11278693858600855]

        H4_qubit_hamiltonian = qforte.QuantumOperator()
        for i in range(len(circ_vec)):
            H4_qubit_hamiltonian.add_term(coef_vec[i], circ_vec[i])

        ref = [1,1,1,1,0,0,0,0]

        # make test with algorithm class
        mol = Molecule()
        mol.set_hamiltonian(H4_qubit_hamiltonian)

        # SRQK
        alg1 = SRQK(mol, reference=ref, trotter_number=1, fast=False)
        alg1.run(s=3)
        Egs1 = alg1.get_gs_energy()

        Egs1_fast = -1.9982299799
        self.assertLess(abs(Egs1-Egs1_fast), 1.0e-9)