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This tutorial demonstrates automatic auxiliary qubits management by the synthesis engine. It synthesizes a simple state preparation function, which comprises several multi-controlled rotations. These rotations can use auxiliary qubits to reduce depth. For a given global width constraint, the initialization and reuse of auxiliary qubits between different function blocks is automated. 
import numpy as np

from classiq import *

MAX_WIDTH = 8

NUM_QUBITS = 4
np.random.seed(12)
amplitudes = 1 - 2 * np.random.rand(2**NUM_QUBITS)
amplitudes = (amplitudes / np.linalg.norm(amplitudes)).tolist()


@qfunc
def main(out: Output[QArray]) -> None:
    prepare_amplitudes(amplitudes=amplitudes, bound=0.2, out=out)


preferences = Preferences(
    custom_hardware_settings=CustomHardwareSettings(basis_gates=["cx", "u"]),
    random_seed=1235,
    optimization_timeout_seconds=100,
)
constraints = Constraints(
    optimization_parameter=OptimizationParameter.DEPTH, max_width=MAX_WIDTH
)

qprog = synthesize(main, preferences=preferences, constraints=constraints)
show(qprog)
Output:

Quantum program link: https://platform.classiq.io/circuit/30er6gl4kTKzjmcqlFQ8Qhs2bLA