To create a new AI evolutionary code, you can follow these steps:

1. Define the problem: Clearly outline the problem you want to solve using AI evolutionary algorithms. This includes understanding the objective, constraints, and search space.
2. Choose a representation: Decide on a suitable representation for the solutions, such as binary strings, real-valued vectors, or graphs.
3. Initialize the population: Create an initial population of candidate solutions, either randomly or using a specific strategy.
4. Define the fitness function: Design a function that evaluates the quality or performance of each candidate solution in the population.
5. Implement selection, crossover, and mutation operators: These operators will be used to generate new candidate solutions based on the current population. Selection chooses parents based on their fitness, crossover combines the genetic information of parents to create offspring, and mutation introduces random changes to the offspring.
6. Implement replacement strategy: Decide how to replace the old population with the new one. This could be done by completely replacing the old population, keeping the best individuals, or using a more sophisticated approach.
7. Set termination conditions: Define when to stop the evolutionary process, such as reaching a maximum number of generations, a target fitness level, or a time limit.
8. Implement the algorithm: Write the code for the evolutionary algorithm, incorporating the steps mentioned above.
9. Analyze and interpret results: After running the algorithm, analyze the results and interpret their meaning in the context of the problem.

Here's an example of a simple AI evolutionary algorithm using binary strings to represent solutions and a basic selection, crossover, and mutation process:

import random
import numpy as np

# Problem definition
objective = ...  # Define the objective here
constraints = ...  # Define the constraints here
search_space = ...  # Define the search space here

# Solution representation
solution_size = len(search_space)
population_size = 100
generations = 1000

# Initialize the population
population = np.array([np.random.choice([0, 1], solution_size) for _ in range(population_size)])

# Fitness function
def fitness_function(solution):
    # Calculate the fitness based on the solution, objective, and constraints
    ...
    return fitness

# Selection, crossover, and mutation
def selection(population, fitnesses):
    # Tournament selection
    ...

def crossover(parent1, parent2):
    # Single-point crossover
    ...

def mutation(solution):
    # Bit-flip mutation
    ...

# Replacement strategy
def replace(old_population, new_population):
    # Keep the best individuals and replace the rest
    ...

# Main loop
for generation in range(generations):
    fitnesses = np.array([fitness_function(solution) for solution in population])
    new_population = []

    for _ in range(population_size):
        parent1, parent2 = selection(population, fitnesses)
        offspring = crossover(parent1, parent2)
        offspring = mutation(offspring)
        new_population.append(offspring)

    population = replace(population, new_population)

# Analyze and interpret results
best_solution = population[np.argmax(fitnesses)]
...

This is a basic example, and you can customize and extend it according to your specific problem and requirements.

One if many final versions of this code combining all the features discussed so far, including error correction using the Surface Code, adaptive learning, and continuous monitoring. Note that some placeholders remain for customizations related to adaptive learning. --- #### Highly Advanced Quantum Teleportation Protocol Structure 1. Import necessary libraries, modules, and extensions.

python import numpy as np import matplotlib.pyplot as plt from qiskit import QuantumCircuit, transpile, assemble, Aer, execute from qiskit.visualization import plot_bloch_multivector, plot_histogram from qiskit.extensions.standard import HadamardGate, PhaseGate, CNOTGate, SwapGate from qiskit.circuit.library import U3Gate from qiskit.providers.fake_provider import FakeProvider from qiskit.ignis.verification.topological_codes import SurfaceCode from qiskit.ignis.mitigation.measurement import CompleteMeasFitter

1. Define helper functions for creating quantum circuits, managing auxiliary qubits, applying error correction, etc. python def prepare_bell_pair(quantum_circuit, qreg1, qreg2, creg1, creg2): """Prepare Bell pair |φ⟩ = (|00⟩ + |11⟩)/sqrt(2)""" quantum_circuit.h(qreg1) quantum_circuit.cx(qreg1, qreg2) def entangle_systems(quantum_circuit, qreg1, qreg2, creg1, creg2): """Entanglement measurement on the two qubits""" quantum_circuit.barrier() quantum_circuit.cz(qreg1, qreg2) quantum_circuit.measure(qreg2, creg2) def apply_surface_code(quantum_circuit, qreg1, qreg2, creg1, creg2, syndrome_map): """Use SurfaceCode class from Qiskit Ignis Verification Topological Codes module""" ... def measure_and_correct(quantum_circuit, qreg1, qreg2, creg1, creg2): """Measure qubits, compare classical bitstrings, and apply corrections""" ... def train_adaptive_learning_layer(quantum_circuit, training_dataset): """Training procedure for adaptive learning layer""" ... def evaluate_performance(quantum_circuit, test_dataset): """Evaluation procedure for adaptive learning layer""" ... def get_optimal_hyperparameters(training_results, validation_results): """Determine optimal hyperparameters based on training and validation results""" ... def update_adaptive_learning_layer(quantum_circuit, hyperparameters): """Update adaptive learning layer with new hyperparameters""" ... def initialize_syndrome_map(): """Initialize the syndrome map according to the current configuration.""" ... def monitor_and_control(quantum_circuit, hyperparameters, training_dataset, test_dataset, cutoff_frequency): """Monitor quantum circuit performance, compare to threshold, and adjust hyperparameters""" adapted_circuit = quantum_circuit.copy() update_adaptive_learning_layer(adapted_circuit, hyperparameters) performance_metrics = evaluate_performance(adapted_circuit, test_dataset) if performance_metrics < cutoff_frequency: training_results = train_adaptive_learning_layer(adapted_circuit, training_dataset) hyperparameters = get_optimal_hyperparameters(training_results, validation_results) update_adaptive_learning_layer(adapted_circuit, hyperparameters) return adapted_circuit, hyperparameters
2. Design the primary quantum teleportation circuit with error correction. python def teleportation_protocol(bell_pair, system1, system2, recovery): """Construct the quantum circuit""" quantum_circuit = QuantumCircuit(2, 2) # Encoding stage prepare_bell_pair(quantum_circuit, bell_pair[0], bell_pair[1], system1, system2) measure_and_correct(quantum_circuit, system1, system2, bell_pair[0], bell_pair[1]) # Teleportation stage teleport_bell_pair(quantum_circuit, bell_pair[0], bell_pair[1], system2, system1) # Error correction stage syndrome_map = initialize_syndrome_map() apply_surface_code(quantum_circuit, system2, system1, system1, system2, syndrome_map) # Final correction stage measure_and_correct(quantum_circuit, system2, system1, system1, system2) return quantum_circuit
3. Test and validate the enhanced quantum teleportation protocol. python # Prepare qubits, classical bits, and other variables ... # Initial hyperparameter settings initial_hyperparameters = ... # Training dataset training_dataset = ... # Validation dataset validation_dataset = ... # Cutoff frequency cutoff_frequency = ... # Iterative improvement loop while True: quantum_circuit = teleportation_protocol(...) adapted_circuit, hyperparameters = monitor_and_control(quantum_circuit, initial_hyperparameters, training_dataset, validation_dataset, cutoff_frequency) initial_hyperparameters = hyperparameters As mentioned previously, some placeholders still need proper implementation. For example, train_adaptive_learning_layer, evaluate_performance, get_optimal_hyperparameters, and the initialization procedures for adaptive learning should be defined according to your intended algorithm. Additionally, you must define how the synthetic datasets used for training, validating, and testing the adaptive learning layer should be constructed. Once those components are established, you can proceed with executing the code and observing the performance of the quantum teleportation protocol.