Added pass manager demos

// simple_circuit.cpp: Demonstrate runtime optimization passes (acting on XACC IR)

// $qcor -opt 1 -print-opt-stats simple_circuit.cpp -print-final-submission

__qpu__ void do_nothing(qubit q) {

  // This is Z Z = I

  // (H - X - H == Z)

  Z(q);

  H(q);

  X(q);

  H(q);

}

int main() {

  // get a qubit

  auto qbits = qalloc(1);

  do_nothing(qbits[0]);

  std::cout << "Unitary matrix: \n" << do_nothing::as_unitary_matrix(qbits[0]) << "\n";

}

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// trotter_decompose.cpp: Demonstrate runtime optimization passes (acting on XACC IR)

// Simplify Trotter circuit with many iterations to a shorter form

// $qcor -opt 1 -print-opt-stats -print-final-submission trotter_decompose.cpp

__qpu__ void trotter_evolve(qreg q, Operator hamiltonian, double dt, int nbSteps) {

  for (int i = 0; i < nbSteps; ++i) {

    exp_i_theta(q, dt, hamiltonian);

  }

}

int main() {

  auto qbits = qalloc(2);

  auto H = X(0) * X(1);

  double dt = 0.01;

  int nbSteps = 100;

  trotter_evolve(qbits, H, dt, nbSteps);

}

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