from qiskit import QuantumCircuit, Aer, execute
import numpy as np

def quantum_optimize_water_usage(water_usage_data):
    # Define the number of qubits to use
    num_qubits = water_usage_data.shape[0]
    
    # Initialize the quantum circuit
    qc = QuantumCircuit(num_qubits, num_qubits)
    
    # Apply the Hadamard gates to the qubits
    for i in range(num_qubits):
        qc.h(i)
    
    # Apply the quantum rotation gates to the qubits
    for i in range(num_qubits):
        qc.rx(2 * np.pi * water_usage_data[i], i)
    
    # Measure the qubits
    qc.measure(range(num_qubits), range(num_qubits))
    
    # Run the simulation
    backend = Aer.get_backend('qasm_simulator')
    job = execute(qc, backend, shots=1)
    result = job.result()
    
    # Get the measurement results
    optimized_water_usage = np.array(result.get_counts().popitem()[0])
    
    # Return the optimized water usage variables
    return optimized_water_usage

# Example usage of the function
water_usage_data = np.array([100, 200, 300, 400, 500])
optimized_water_usage = quantum_optimize_water_usage(water_usage_data)
print(optimized_water_usage)