How to use the projectq.ops.H function in projectq

while i - |1>) s.t. a bit-flip turns
        # into a (-1)-phase.
        oracle_out = eng.allocate_qubit()
        X | oracle_out
        H | oracle_out
             
        #run j iterations
        with Loop(eng, j):
            # oracle adds a (-1)-phase to the solution
            oracle(eng, x, Dataset,threshold, oracle_out)
    
            # reflection across uniform superposition
            with Compute(eng):
                All(H) | x
                All(X) | x
    
            with Control(eng, x[0:-1]):
                Z | x[-1]
    
            Uncompute(eng)

Runs Grover's algorithm on n qubit using the provided quantum oracle.

    Args:
        eng (MainEngine): Main compiler engine to run Grover on.
        n (int): Number of bits in the solution.
        oracle (function): Function accepting the engine, an n-qubit register,
            and an output qubit which is flipped by the oracle for the correct
            bit string.

    Returns:
        solution (list): Solution bit-string.
    """
    x = eng.allocate_qureg(n)

    # start in uniform superposition
    All(H) | x

    # number of iterations we have to run:
    num_it = int(math.pi / 4. * math.sqrt(1 << n))

    # prepare the oracle output qubit (the one that is flipped to indicate the
    # solution. start in state 1/sqrt(2) * (|0> - |1>) s.t. a bit-flip turns
    # into a (-1)-phase.
    oracle_out = eng.allocate_qubit()
    X | oracle_out
    H | oracle_out

    # run num_it iterations
    with Loop(eng, num_it):
        # oracle adds a (-1)-phase to the solution
        oracle(eng, x, oracle_out)

# prepare the oracle output qubit (the one that is flipped to indicate the
    # solution. start in state 1/sqrt(2) * (|0> - |1>) s.t. a bit-flip turns
    # into a (-1)-phase.
    oracle_out = eng.allocate_qubit()
    X | oracle_out
    H | oracle_out

    # run num_it iterations
    with Loop(eng, num_it):
        # oracle adds a (-1)-phase to the solution
        oracle(eng, x, oracle_out)

        # reflection across uniform superposition
        with Compute(eng):
            All(H) | x
            All(X) | x

        with Control(eng, x[0:-1]):
            Z | x[-1]

        Uncompute(eng)

        All(Ph(math.pi / n)) | x

    All(Measure) | x
    Measure | oracle_out

    eng.flush()
    # return result
    return [int(qubit) for qubit in x]

def create_bell_pair(eng):
    """
    Returns a Bell-pair (two qubits in state :math:`|A\rangle \otimes |B
    \rangle = \frac 1{\sqrt 2} \left( |0\rangle\otimes|0\rangle + |1\rangle
    \otimes|1\rangle \right)`).

    Args:
        eng (MainEngine): MainEngine from which to allocate the qubits.

    Returns:
        bell_pair (tuple): The Bell-pair.
    """
    b1 = eng.allocate_qubit()
    b2 = eng.allocate_qubit()

    H | b1
    CNOT | (b1, b2)

    return b1, b2

def hgate(self):
        tl = []
        for nsite, num_bench in zip(NL, [1000, 1000, 1000, 100, 10, 5]):
            print('========== N: %d ============'%nsite)
            for func in [bG(ops.H), bCG(ops.H), bRG(ops.H)]:
                tl.append(qbenchmark(func, nsite, num_bench)*1e6)
        np.savetxt('h-report.dat', tl)

elif operation['name'] in ['u1']:
                    params = operation['params']
                    qubit = qureg[operation['qubits'][0]]
                    Rz(params[0]) | qubit
                elif operation['name'] in ['u2']:
                    params = operation['params']
                    qubit = qureg[operation['qubits'][0]]
                    Rz(params[1] - np.pi/2) | qubit
                    Rx(np.pi/2) | qubit
                    Rz(params[0] + np.pi/2) | qubit
                elif operation['name'] == 't':
                    qubit = qureg[operation['qubits'][0]]
                    T | qubit
                elif operation['name'] == 'h':
                    qubit = qureg[operation['qubits'][0]]
                    H | qubit
                elif operation['name'] == 's':
                    qubit = qureg[operation['qubits'][0]]
                    S | qubit
                elif operation['name'] in ['CX', 'cx']:
                    qubit0 = qureg[operation['qubits'][0]]
                    qubit1 = qureg[operation['qubits'][1]]
                    CX | (qubit0, qubit1)
                elif operation['name'] in ['id', 'u0']:
                    pass
                # Check if measure
                elif operation['name'] == 'measure':
                    qubit_index = operation['qubits'][0]
                    qubit = qureg[qubit_index]
                    clbit = operation['clbits'][0]
                    Measure | qubit
                    bit = 1 << clbit

def _decompose_rx(cmd):
    """ Decompose the Rx gate."""
    qubit = cmd.qubits[0]
    eng = cmd.engine
    angle = cmd.gate.angle

    with Control(eng, cmd.control_qubits):
        with Compute(eng):
            H | qubit
        Rz(angle) | qubit
        Uncompute(eng)

H | target
    CNOT | (c1, target)
    T | c1
    Tdag | target
    CNOT | (c2, target)
    CNOT | (c2, c1)
    Tdag | c1
    T | target
    CNOT | (c2, c1)
    CNOT | (c1, target)
    Tdag | target
    CNOT | (c2, target)
    T | target
    T | c2
    H | target

"""
    Runs a test circuit on the provided compiler engine.

    Args:
        eng (MainEngine): Main compiler engine to use.

    Returns:
        measurement (list): List of measurement outcomes.
    """
    # allocate the quantum register to entangle
    qureg = eng.allocate_qureg(16)

    interactions = [(1, 0), (1, 2), (2, 3), (3, 4), (5, 4), (6, 5), (6, 7),
                    (8, 7), (9, 8), (9, 10), (11, 10), (12, 11), (12, 13),
                    (13, 14), (15, 14)]
    H | qureg[0]
    for e in interactions:
        flip = e[0] > e[1]
        if flip:
            All(H) | [qureg[e[0]], qureg[e[1]]]
            CNOT | (qureg[e[0]], qureg[e[1]])
            All(H) | [qureg[e[0]], qureg[e[1]]]
        else:
            CNOT | (qureg[e[0]], qureg[e[1]])

    # measure; should be all-0 or all-1
    Measure | qureg

    # run the circuit
    eng.flush()

    # access the probabilities via the back-end:

CNOT | (qubits[3], qubits[6])
    CNOT | (qubits[3], qubits[9])
    H | qubits[3]
    CNOT | (qubits[3], qubits[4])
    CNOT | (qubits[3], qubits[5])
    H | qubits[6]
    CNOT | (qubits[6], qubits[7])
    CNOT | (qubits[6], qubits[8])
    H | qubits[9]
    CNOT | (qubits[9], qubits[10])
    CNOT | (qubits[9], qubits[11])

    H | qubits[3]
    H | qubits[4]
    H | qubits[5]
    H | qubits[6]
    H | qubits[7]
    H | qubits[8]
    H | qubits[9]
    H | qubits[10]
    H | qubits[11]
    CNOT | (qubits[1], qubits[3])
    CNOT | (qubits[1], qubits[4])
    CNOT | (qubits[1], qubits[5])
    CNOT | (qubits[1], qubits[6])
    CNOT | (qubits[1], qubits[7])
    CNOT | (qubits[1], qubits[8])
    CNOT | (qubits[1], qubits[9])
    CNOT | (qubits[1], qubits[10])
    CNOT | (qubits[1], qubits[11])
    H | qubits[3]
    H | qubits[4]