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quantum_computer.py
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984 lines (786 loc) · 38.9 KB
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import sys
import numpy as np
import random
import json
import math
from PyQt5.QtWidgets import (
QApplication, QMainWindow, QWidget, QVBoxLayout, QHBoxLayout, QGroupBox,
QPushButton, QLabel, QComboBox, QSpinBox, QTextEdit, QTabWidget, QTableWidget,
QTableWidgetItem, QHeaderView, QMessageBox, QLineEdit, QFileDialog,
QSplitter, QDoubleSpinBox, QSizePolicy
)
from PyQt5.QtCore import Qt, QTimer
from PyQt5.QtGui import QFont, QColor, QPainter, QPen
class QuantumComputer:
def __init__(self, num_qubits=1):
self.num_qubits = num_qubits
self.reset()
self.history = []
self.algorithm_steps = []
def reset(self):
"""Сбрасывает компьютер в начальное состояние"""
self.state = np.zeros(2**self.num_qubits, dtype=complex)
self.state[0] = 1.0
self.measured = [False] * self.num_qubits
self.measurement_results = [[] for _ in range(self.num_qubits)]
self.history = [('init', None)]
return f"Система сброшена в состояние |{'0'*self.num_qubits}>"
def apply_gate(self, gate, target, control=None, angle=None):
"""Применяет квантовый гейт к целевым кубитам"""
if self.measured[target]:
return False, f"Ошибка: Кубит {target} уже измерен!"
if control is not None and self.measured[control]:
return False, f"Ошибка: Управляющий кубит {control} уже измерен!"
gate = gate.upper()
prev_state = self.state.copy()
if gate == 'H':
self._apply_hadamard(target)
elif gate == 'X':
self._apply_pauli_x(target)
elif gate == 'Y':
self._apply_pauli_y(target)
elif gate == 'Z':
self._apply_pauli_z(target)
elif gate == 'S':
self._apply_phase_gate(target, np.pi/2)
elif gate == 'T':
self._apply_phase_gate(target, np.pi/4)
elif gate == 'RX' and angle is not None:
self._apply_rx_gate(target, angle)
elif gate == 'RY' and angle is not None:
self._apply_ry_gate(target, angle)
elif gate == 'RZ' and angle is not None:
self._apply_rz_gate(target, angle)
elif gate == 'CNOT' and control is not None:
self._apply_cnot(control, target)
elif gate == 'SWAP' and control is not None:
self._apply_swap(control, target)
elif gate == 'TOFFOLI' and control is not None and len(control) == 2:
self._apply_toffoli(control[0], control[1], target)
else:
return False, f"Неизвестный гейт или параметры: {gate}"
self.history.append(('gate', (gate, target, control, angle, prev_state)))
return True, f"Применен {gate} к кубиту {target}" + (f" (управление: {control})" if control is not None else "") + (f" (угол: {angle:.2f})" if angle is not None else "")
def measure(self, target, num_measurements=1):
"""Измеряет кубит"""
if self.measured[target]:
return None, f"Кубит {target} уже измерен!"
results = []
for _ in range(num_measurements):
prev_state = self.state.copy()
prob0 = self._get_probability(target, 0)
result = 0 if random.random() < prob0 else 1
results.append(result)
self._collapse_state(target, result)
self.measurement_results[target].append(result)
self.history.append(('measure', (target, result, prev_state)))
self.measured[target] = True
return results, f"Измерен кубит {target}: результаты = {results}"
def undo(self):
"""Отменяет последнюю операцию"""
if len(self.history) <= 1:
return False, "Нет операций для отмены"
op_type, data = self.history.pop()
if op_type == 'gate' or op_type == 'measure':
self.state = data[-1]
if op_type == 'measure':
target = data[0]
self.measured[target] = False
if self.measurement_results[target]:
self.measurement_results[target].pop()
return True, "Отменена последняя операция"
def add_algorithm_step(self, step):
"""Добавляет шаг алгоритма"""
self.algorithm_steps.append(step)
return f"Добавлен шаг алгоритма: {step}"
def run_algorithm(self):
"""Выполняет сохраненный алгоритм"""
if not self.algorithm_steps:
return False, "Алгоритм не задан"
results = []
for step in self.algorithm_steps:
if step['type'] == 'gate':
self.apply_gate(step['gate'], step['target'], step.get('control'), step.get('angle'))
elif step['type'] == 'measure':
result, _ = self.measure(step['target'], step.get('num_measurements', 1))
results.extend(result)
return True, f"Алгоритм выполнен. Результаты: {results}"
def save_state(self, filename):
"""Сохраняет текущее состояние в файл"""
data = {
'num_qubits': self.num_qubits,
'state': [complex(x) for x in self.state],
'measured': self.measured,
'measurement_results': self.measurement_results
}
with open(filename, 'w') as f:
json.dump(data, f)
return f"Состояние сохранено в {filename}"
def load_state(self, filename):
"""Загружает состояние из файла"""
with open(filename, 'r') as f:
data = json.load(f)
self.num_qubits = data['num_qubits']
self.state = np.array([complex(x) for x in data['state']])
self.measured = data['measured']
self.measurement_results = data['measurement_results']
return f"Состояние загружено из {filename}"
def get_state_string(self):
"""Возвращает текущее состояние в виде строки"""
return self._state_to_string()
def get_probabilities(self):
"""Возвращает вероятности всех состояний"""
probs = []
for i, amp in enumerate(self.state):
prob = abs(amp)**2
basis = format(i, f'0{self.num_qubits}b')
probs.append((f"|{basis}>", round(prob, 4)))
return probs
def get_qubit_states(self):
"""Возвращает состояние каждого кубита отдельно"""
states = []
for q in range(self.num_qubits):
prob0 = self._get_probability(q, 0)
states.append({
"index": q,
"measured": self.measured[q],
"prob0": prob0,
"prob1": 1 - prob0,
"results": self.measurement_results[q]
})
return states
def get_bloch_coordinates(self, qubit):
"""Возвращает координаты на сфере Блоха для кубита"""
if self.measured[qubit]:
return None, None, None
dm = self._get_reduced_density_matrix(qubit)
x = 2 * dm[0, 1].real
y = 2 * dm[0, 1].imag
z = dm[0, 0].real - dm[1, 1].real
return x, y, z
def _get_reduced_density_matrix(self, qubit):
"""Вычисляет матрицу плотности для одного кубита"""
full_dm = np.outer(self.state, self.state.conj())
dm = np.zeros((2, 2), dtype=complex)
for i in range(2**self.num_qubits):
for j in range(2**self.num_qubits):
match = True
for q in range(self.num_qubits):
if q != qubit:
bit_i = (i >> (self.num_qubits - 1 - q)) & 1
bit_j = (j >> (self.num_qubits - 1 - q)) & 1
if bit_i != bit_j:
match = False
break
if match:
qubit_i = (i >> (self.num_qubits - 1 - qubit)) & 1
qubit_j = (j >> (self.num_qubits - 1 - qubit)) & 1
dm[qubit_i, qubit_j] += full_dm[i, j]
return dm
# Реализации квантовых гейтов
def _apply_hadamard(self, target):
H = np.array([[1, 1], [1, -1]]) / np.sqrt(2)
self._apply_single_qubit_gate(H, target)
def _apply_pauli_x(self, target):
X = np.array([[0, 1], [1, 0]])
self._apply_single_qubit_gate(X, target)
def _apply_pauli_y(self, target):
Y = np.array([[0, -1j], [1j, 0]])
self._apply_single_qubit_gate(Y, target)
def _apply_pauli_z(self, target):
Z = np.array([[1, 0], [0, -1]])
self._apply_single_qubit_gate(Z, target)
def _apply_phase_gate(self, target, angle):
P = np.array([[1, 0], [0, np.exp(1j * angle)]])
self._apply_single_qubit_gate(P, target)
def _apply_rx_gate(self, target, angle):
RX = np.array([
[np.cos(angle/2), -1j*np.sin(angle/2)],
[-1j*np.sin(angle/2), np.cos(angle/2)]
])
self._apply_single_qubit_gate(RX, target)
def _apply_ry_gate(self, target, angle):
RY = np.array([
[np.cos(angle/2), -np.sin(angle/2)],
[np.sin(angle/2), np.cos(angle/2)]
])
self._apply_single_qubit_gate(RY, target)
def _apply_rz_gate(self, target, angle):
RZ = np.array([[np.exp(-1j*angle/2), 0], [0, np.exp(1j*angle/2)]])
self._apply_single_qubit_gate(RZ, target)
def _apply_cnot(self, control, target):
size = 2**self.num_qubits
cnot_matrix = np.zeros((size, size))
for i in range(size):
control_bit = (i >> (self.num_qubits - 1 - control)) & 1
if control_bit == 1:
j = i ^ (1 << (self.num_qubits - 1 - target))
else:
j = i
cnot_matrix[j, i] = 1
self.state = np.dot(cnot_matrix, self.state)
def _apply_swap(self, qubit1, qubit2):
size = 2**self.num_qubits
swap_matrix = np.zeros((size, size))
for i in range(size):
bit1 = (i >> (self.num_qubits - 1 - qubit1)) & 1
bit2 = (i >> (self.num_qubits - 1 - qubit2)) & 1
j = i & ~(1 << (self.num_qubits - 1 - qubit1)) & ~(1 << (self.num_qubits - 1 - qubit2))
j |= bit1 << (self.num_qubits - 1 - qubit2)
j |= bit2 << (self.num_qubits - 1 - qubit1)
swap_matrix[j, i] = 1
self.state = np.dot(swap_matrix, self.state)
def _apply_toffoli(self, control1, control2, target):
size = 2**self.num_qubits
toffoli_matrix = np.zeros((size, size))
for i in range(size):
control_bit1 = (i >> (self.num_qubits - 1 - control1)) & 1
control_bit2 = (i >> (self.num_qubits - 1 - control2)) & 1
if control_bit1 == 1 and control_bit2 == 1:
j = i ^ (1 << (self.num_qubits - 1 - target))
else:
j = i
toffoli_matrix[j, i] = 1
self.state = np.dot(toffoli_matrix, self.state)
def _apply_single_qubit_gate(self, gate, target):
full_gate = 1
for i in range(self.num_qubits):
if i == target:
full_gate = np.kron(full_gate, gate)
else:
full_gate = np.kron(full_gate, np.eye(2))
self.state = np.dot(full_gate, self.state)
def _get_probability(self, target, value):
prob = 0.0
for i in range(len(self.state)):
bit = (i >> (self.num_qubits - 1 - target)) & 1
if bit == value:
prob += abs(self.state[i])**2
return prob
def _collapse_state(self, target, result):
for i in range(len(self.state)):
bit = (i >> (self.num_qubits - 1 - target)) & 1
if bit != result:
self.state[i] = 0
norm = np.sqrt(sum(abs(self.state)**2))
if norm > 0:
self.state /= norm
def _state_to_string(self):
state_str = []
for i, amp in enumerate(self.state):
if abs(amp) > 1e-6:
basis = format(i, f'0{self.num_qubits}b')
real_part = round(amp.real, 3)
imag_part = round(amp.imag, 3)
if abs(real_part) < 1e-3: real_part = 0
if abs(imag_part) < 1e-3: imag_part = 0
if imag_part == 0:
coeff = f"{real_part:.3f}"
elif real_part == 0:
coeff = f"{imag_part:.3f}j"
else:
coeff = f"{real_part:.3f}{imag_part:+.3f}j"
state_str.append(f"{coeff}|{basis}>")
return " + ".join(state_str) if state_str else "0"
class BlochSphereWidget(QWidget):
def __init__(self, parent=None):
super().__init__(parent)
self.setMinimumSize(300, 300)
self.x = 0
self.y = 0
self.z = 0
self.points = []
def set_coordinates(self, x, y, z):
self.x = x
self.y = y
self.z = z
self.points.append((x, y, z))
self.update()
def clear_points(self):
self.points = []
self.update()
def paintEvent(self, event):
painter = QPainter(self)
painter.setRenderHint(QPainter.Antialiasing)
width = self.width()
height = self.height()
radius = min(width, height) * 0.4
center_x = width / 2
center_y = height / 2
# Сфера
painter.setPen(QPen(Qt.lightGray, 1, Qt.DashLine))
painter.drawEllipse(int(center_x - radius), int(center_y - radius),
int(radius * 2), int(radius * 2))
# Оси
painter.setPen(QPen(Qt.red, 2))
painter.drawLine(int(center_x - radius), int(center_y),
int(center_x + radius), int(center_y))
painter.setPen(QPen(Qt.green, 2))
painter.drawLine(int(center_x), int(center_y - radius),
int(center_x), int(center_y + radius))
painter.setPen(QPen(Qt.blue, 2))
painter.drawLine(int(center_x), int(center_y),
int(center_x), int(center_y))
# Подписи осей
font = painter.font()
font.setPointSize(10)
painter.setFont(font)
painter.setPen(QPen(Qt.red, 2))
painter.drawText(int(center_x + radius + 5), int(center_y), "X")
painter.setPen(QPen(Qt.green, 2))
painter.drawText(int(center_x), int(center_y - radius - 5), "Y")
painter.setPen(QPen(Qt.blue, 2))
painter.drawText(int(center_x), int(center_y + radius + 15), "Z")
# Точки
for i, (x, y, z) in enumerate(self.points):
screen_x = center_x + x * radius
screen_y = center_y - y * radius
color = QColor(0, 0, int(255 * (z + 1)/2))
painter.setPen(QPen(color, 3))
size = 6 - (len(self.points) - i - 1) * 0.5
if size < 3: size = 3
painter.drawEllipse(int(screen_x - size/2), int(screen_y - size/2),
int(size), int(size))
# Текущая точка
if self.x is not None:
screen_x = center_x + self.x * radius
screen_y = center_y - self.y * radius
painter.setPen(QPen(Qt.black, 2))
painter.drawLine(int(center_x), int(center_y), int(screen_x), int(screen_y))
painter.setPen(QPen(Qt.black, 3))
painter.setBrush(Qt.yellow)
painter.drawEllipse(int(screen_x - 5), int(screen_y - 5), 10, 10)
state = f"|ψ> = {1+self.z:.2f}|0> + {1-self.z:.2f}|1>"
painter.drawText(int(screen_x + 10), int(screen_y), state)
class QuantumComputerGUI(QMainWindow):
def __init__(self):
super().__init__()
self.setWindowTitle("Квантовый Компьютер")
self.setGeometry(100, 100, 1000, 700)
self.qc = QuantumComputer(1)
central_widget = QWidget()
self.setCentralWidget(central_widget)
main_layout = QVBoxLayout(central_widget)
self.tab_widget = QTabWidget()
main_layout.addWidget(self.tab_widget)
self.setup_control_tab()
self.setup_state_tab()
self.setup_algorithm_tab()
self.setup_bloch_tab()
self.setup_info_tab()
self.status_bar = self.statusBar()
self.status_bar.showMessage("Готов к работе. Инициализирован 1 кубит.")
self.update_display()
def setup_control_tab(self):
control_tab = QWidget()
self.tab_widget.addTab(control_tab, "Управление")
layout = QVBoxLayout(control_tab)
# Инициализация
init_group = QGroupBox("Инициализация системы")
init_layout = QHBoxLayout(init_group)
self.qubit_spin = QSpinBox()
self.qubit_spin.setRange(1, 5)
self.qubit_spin.setValue(1)
init_btn = QPushButton("Инициализировать")
init_btn.clicked.connect(self.initialize_system)
reset_btn = QPushButton("Сбросить")
reset_btn.clicked.connect(self.reset_system)
undo_btn = QPushButton("Отменить")
undo_btn.clicked.connect(self.undo_operation)
save_btn = QPushButton("Сохранить состояние")
save_btn.clicked.connect(self.save_state)
load_btn = QPushButton("Загрузить состояние")
load_btn.clicked.connect(self.load_state)
init_layout.addWidget(QLabel("Количество кубитов:"))
init_layout.addWidget(self.qubit_spin)
init_layout.addWidget(init_btn)
init_layout.addWidget(reset_btn)
init_layout.addWidget(undo_btn)
init_layout.addWidget(save_btn)
init_layout.addWidget(load_btn)
# Операции
op_group = QGroupBox("Квантовые операции")
op_layout = QVBoxLayout(op_group)
# Однокубитные операции
single_qubit_layout = QHBoxLayout()
single_qubit_layout.addWidget(QLabel("Целевой кубит:"))
self.target_combo = QComboBox()
self.target_combo.addItems([str(i) for i in range(self.qc.num_qubits)])
single_qubit_layout.addWidget(self.target_combo)
single_qubit_layout.addWidget(QLabel("Гейт:"))
self.gate_combo = QComboBox()
self.gate_combo.addItems(["H", "X", "Y", "Z", "S", "T", "RX", "RY", "RZ"])
single_qubit_layout.addWidget(self.gate_combo)
self.angle_spin = QDoubleSpinBox()
self.angle_spin.setRange(0, 2 * np.pi)
self.angle_spin.setValue(np.pi)
self.angle_spin.setSingleStep(0.1)
self.angle_label = QLabel("Угол (рад):")
self.angle_label.hide()
self.angle_spin.hide()
single_qubit_layout.addWidget(self.angle_label)
single_qubit_layout.addWidget(self.angle_spin)
apply_gate_btn = QPushButton("Применить гейт")
apply_gate_btn.clicked.connect(self.apply_gate)
single_qubit_layout.addWidget(apply_gate_btn)
op_layout.addLayout(single_qubit_layout)
self.gate_combo.currentTextChanged.connect(self.update_gate_ui)
# Многокубитные операции
multi_qubit_layout = QHBoxLayout()
# CNOT
cnot_layout = QVBoxLayout()
cnot_layout.addWidget(QLabel("CNOT:"))
cnot_inner = QHBoxLayout()
cnot_inner.addWidget(QLabel("Управление:"))
self.control_combo = QComboBox()
self.control_combo.addItems([str(i) for i in range(self.qc.num_qubits)])
cnot_inner.addWidget(self.control_combo)
cnot_inner.addWidget(QLabel("Цель:"))
self.cnot_target_combo = QComboBox()
self.cnot_target_combo.addItems([str(i) for i in range(self.qc.num_qubits)])
cnot_inner.addWidget(self.cnot_target_combo)
apply_cnot_btn = QPushButton("Применить CNOT")
apply_cnot_btn.clicked.connect(self.apply_cnot)
cnot_inner.addWidget(apply_cnot_btn)
cnot_layout.addLayout(cnot_inner)
multi_qubit_layout.addLayout(cnot_layout)
# SWAP
swap_layout = QVBoxLayout()
swap_layout.addWidget(QLabel("SWAP:"))
swap_inner = QHBoxLayout()
swap_inner.addWidget(QLabel("Кубит 1:"))
self.swap1_combo = QComboBox()
self.swap1_combo.addItems([str(i) for i in range(self.qc.num_qubits)])
swap_inner.addWidget(self.swap1_combo)
swap_inner.addWidget(QLabel("Кубит 2:"))
self.swap2_combo = QComboBox()
self.swap2_combo.addItems([str(i) for i in range(self.qc.num_qubits)])
swap_inner.addWidget(self.swap2_combo)
apply_swap_btn = QPushButton("Применить SWAP")
apply_swap_btn.clicked.connect(self.apply_swap)
swap_inner.addWidget(apply_swap_btn)
swap_layout.addLayout(swap_inner)
multi_qubit_layout.addLayout(swap_layout)
op_layout.addLayout(multi_qubit_layout)
# Измерение
measure_layout = QHBoxLayout()
measure_layout.addWidget(QLabel("Измерить кубит:"))
self.measure_combo = QComboBox()
self.measure_combo.addItems([str(i) for i in range(self.qc.num_qubits)])
measure_layout.addWidget(self.measure_combo)
measure_layout.addWidget(QLabel("Количество измерений:"))
self.measure_count = QSpinBox()
self.measure_count.setRange(1, 1000)
self.measure_count.setValue(1)
measure_layout.addWidget(self.measure_count)
measure_btn = QPushButton("Измерить")
measure_btn.clicked.connect(self.measure_qubit)
measure_layout.addWidget(measure_btn)
op_layout.addLayout(measure_layout)
layout.addWidget(init_group)
layout.addWidget(op_group)
layout.addStretch()
def setup_state_tab(self):
state_tab = QWidget()
self.tab_widget.addTab(state_tab, "Состояние")
layout = QVBoxLayout(state_tab)
splitter = QSplitter(Qt.Vertical)
# Вектор состояния
state_group = QGroupBox("Вектор состояния")
state_layout = QVBoxLayout(state_group)
self.state_display = QTextEdit()
self.state_display.setReadOnly(True)
self.state_display.setFont(QFont("Courier New", 10))
state_layout.addWidget(self.state_display)
# Вероятности
prob_group = QGroupBox("Вероятности состояний")
prob_layout = QVBoxLayout(prob_group)
self.prob_table = QTableWidget()
self.prob_table.setColumnCount(2)
self.prob_table.setHorizontalHeaderLabels(["Состояние", "Вероятность"])
self.prob_table.horizontalHeader().setSectionResizeMode(QHeaderView.Stretch)
self.prob_table.verticalHeader().setVisible(False)
prob_layout.addWidget(self.prob_table)
# Состояния кубитов
qubit_group = QGroupBox("Состояния кубитов")
qubit_layout = QVBoxLayout(qubit_group)
self.qubit_table = QTableWidget()
self.qubit_table.setColumnCount(5)
self.qubit_table.setHorizontalHeaderLabels(["Кубит", "Измерен", "P(|0>)", "P(|1>)", "Результаты"])
self.qubit_table.horizontalHeader().setSectionResizeMode(QHeaderView.Stretch)
self.qubit_table.verticalHeader().setVisible(False)
qubit_layout.addWidget(self.qubit_table)
splitter.addWidget(state_group)
splitter.addWidget(prob_group)
splitter.addWidget(qubit_group)
splitter.setSizes([300, 300, 200])
layout.addWidget(splitter)
def setup_algorithm_tab(self):
algorithm_tab = QWidget()
self.tab_widget.addTab(algorithm_tab, "Алгоритмы")
layout = QVBoxLayout(algorithm_tab)
# Управление алгоритмами
control_group = QGroupBox("Управление алгоритмами")
control_layout = QHBoxLayout(control_group)
self.algorithm_name = QLineEdit("Мой алгоритм")
self.algorithm_name.setPlaceholderText("Название алгоритма")
add_step_btn = QPushButton("Добавить шаг")
add_step_btn.clicked.connect(self.add_algorithm_step)
run_btn = QPushButton("Выполнить алгоритм")
run_btn.clicked.connect(self.run_algorithm)
clear_btn = QPushButton("Очистить алгоритм")
clear_btn.clicked.connect(self.clear_algorithm)
control_layout.addWidget(self.algorithm_name)
control_layout.addWidget(add_step_btn)
control_layout.addWidget(run_btn)
control_layout.addWidget(clear_btn)
# Шаги алгоритма
steps_group = QGroupBox("Шаги алгоритма")
steps_layout = QVBoxLayout(steps_group)
self.algorithm_table = QTableWidget()
self.algorithm_table.setColumnCount(5)
self.algorithm_table.setHorizontalHeaderLabels(["Тип", "Гейт", "Цель", "Управление", "Параметры"])
self.algorithm_table.horizontalHeader().setSectionResizeMode(QHeaderView.Stretch)
self.algorithm_table.verticalHeader().setVisible(False)
steps_layout.addWidget(self.algorithm_table)
layout.addWidget(control_group)
layout.addWidget(steps_group)
def setup_bloch_tab(self):
bloch_tab = QWidget()
self.tab_widget.addTab(bloch_tab, "Сфера Блоха")
layout = QVBoxLayout(bloch_tab)
# Управление
control_group = QGroupBox("Управление визуализацией")
control_layout = QHBoxLayout(control_group)
self.bloch_qubit = QComboBox()
self.bloch_qubit.addItems([str(i) for i in range(self.qc.num_qubits)])
update_btn = QPushButton("Обновить")
update_btn.clicked.connect(self.update_bloch_sphere)
clear_btn = QPushButton("Очистить историю")
clear_btn.clicked.connect(self.clear_bloch_history)
control_layout.addWidget(QLabel("Кубит:"))
control_layout.addWidget(self.bloch_qubit)
control_layout.addWidget(update_btn)
control_layout.addWidget(clear_btn)
# Сфера Блоха
self.bloch_widget = BlochSphereWidget()
layout.addWidget(control_group)
layout.addWidget(self.bloch_widget)
def setup_info_tab(self):
info_tab = QWidget()
self.tab_widget.addTab(info_tab, "Справка")
layout = QVBoxLayout(info_tab)
info_text = QTextEdit()
info_text.setReadOnly(True)
info_text.setHtml("""
<h2>Квантовый Компьютер - Справка</h2>
<h3>Основные понятия:</h3>
<p><b>Кубит</b> - квантовый бит, который может находиться в суперпозиции состояний |0> и |1>.</p>
<p><b>Суперпозиция</b> - одновременное нахождение кубита в нескольких состояниях.</p>
<p><b>Запутанность</b> - квантовая связь между кубитами, когда состояние одного зависит от состояния другого.</p>
<h3>Квантовые гейты:</h3>
<ul>
<li><b>H (Адамара)</b>: Создает суперпозицию: |0> → (|0> + |1>)/√2, |1> → (|0> - |1>)/√2</li>
<li><b>X (NOT)</b>: Инвертирует состояние: |0> → |1>, |1> → |0></li>
<li><b>Y</b>: Поворот вокруг оси Y: |0> → i|1>, |1> → -i|0></li>
<li><b>Z</b>: Изменяет фазу: |0> → |0>, |1> → -|1></li>
<li><b>S</b>: Фазовый гейт (π/2): |0> → |0>, |1> → i|1></li>
<li><b>T</b>: Гейт π/8 (π/4): |0> → |0>, |1> → e^(iπ/4)|1></li>
<li><b>RX(θ)</b>: Вращение вокруг оси X на угол θ</li>
<li><b>RY(θ)</b>: Вращение вокруг оси Y на угол θ</li>
<li><b>RZ(θ)</b>: Вращение вокруг оси Z на угол θ</li>
<li><b>CNOT</b>: Управляемый NOT. Если управляющий кубит |1>, инвертирует целевой кубит.</li>
<li><b>SWAP</b>: Обменивает состояния двух кубитов</li>
</ul>
<h3>Примеры алгоритмов:</h3>
<p><b>Запутанность (Bell State):</b></p>
<ol>
<li>H на кубит 0</li>
<li>CNOT (0 → 1)</li>
</ol>
<p><b>Квантовое случайное число:</b></p>
<ol>
<li>H на кубит 0</li>
<li>Измерить кубит 0</li>
</ol>
""")
layout.addWidget(info_text)
def update_gate_ui(self, gate):
if gate in ['RX', 'RY', 'RZ']:
self.angle_label.show()
self.angle_spin.show()
else:
self.angle_label.hide()
self.angle_spin.hide()
def initialize_system(self):
num_qubits = self.qubit_spin.value()
self.qc = QuantumComputer(num_qubits)
self.update_combos()
self.bloch_widget.clear_points()
self.status_bar.showMessage(f"Инициализирована система с {num_qubits} кубитами.")
self.update_display()
def reset_system(self):
msg = self.qc.reset()
self.status_bar.showMessage(msg)
self.bloch_widget.clear_points()
self.update_display()
def apply_gate(self):
target = int(self.target_combo.currentText())
gate = self.gate_combo.currentText()
angle = self.angle_spin.value() if gate in ['RX', 'RY', 'RZ'] else None
success, message = self.qc.apply_gate(gate, target, None, angle)
self.status_bar.showMessage(message)
if success:
self.update_display()
self.update_bloch_sphere()
def apply_cnot(self):
control = int(self.control_combo.currentText())
target = int(self.cnot_target_combo.currentText())
if control == target:
self.status_bar.showMessage("Ошибка: управляющий и целевой кубит не могут быть одинаковыми!")
return
success, message = self.qc.apply_gate('CNOT', target, control)
self.status_bar.showMessage(message)
if success:
self.update_display()
self.update_bloch_sphere()
def apply_swap(self):
qubit1 = int(self.swap1_combo.currentText())
qubit2 = int(self.swap2_combo.currentText())
if qubit1 == qubit2:
self.status_bar.showMessage("Ошибка: кубиты для обмена должны быть разными!")
return
success, message = self.qc.apply_gate('SWAP', qubit1, qubit2)
self.status_bar.showMessage(message)
if success:
self.update_display()
self.update_bloch_sphere()
def measure_qubit(self):
target = int(self.measure_combo.currentText())
num_measurements = self.measure_count.value()
results, message = self.qc.measure(target, num_measurements)
self.status_bar.showMessage(message)
if results is not None:
self.update_display()
self.update_bloch_sphere()
def undo_operation(self):
success, message = self.qc.undo()
self.status_bar.showMessage(message)
if success:
self.update_display()
self.update_bloch_sphere()
def save_state(self):
filename, _ = QFileDialog.getSaveFileName(self, "Сохранить состояние", "", "Quantum State Files (*.qstate)")
if filename:
if not filename.endswith('.qstate'):
filename += '.qstate'
message = self.qc.save_state(filename)
self.status_bar.showMessage(message)
def load_state(self):
filename, _ = QFileDialog.getOpenFileName(self, "Загрузить состояние", "", "Quantum State Files (*.qstate)")
if filename:
message = self.qc.load_state(filename)
self.update_combos()
self.update_display()
self.update_bloch_sphere()
self.status_bar.showMessage(message)
def add_algorithm_step(self):
# Простой способ добавления шага - в реальном приложении можно сделать диалог
step = {
'type': 'gate',
'gate': 'H',
'target': 0
}
self.qc.add_algorithm_step(step)
self.update_algorithm_table()
self.status_bar.showMessage("Шаг алгоритма добавлен")
def run_algorithm(self):
success, message = self.qc.run_algorithm()
self.status_bar.showMessage(message)
if success:
self.update_display()
self.update_bloch_sphere()
def clear_algorithm(self):
self.qc.algorithm_steps = []
self.update_algorithm_table()
self.status_bar.showMessage("Алгоритм очищен")
def update_algorithm_table(self):
self.algorithm_table.setRowCount(len(self.qc.algorithm_steps))
for i, step in enumerate(self.qc.algorithm_steps):
self.algorithm_table.setItem(i, 0, QTableWidgetItem(step['type']))
self.algorithm_table.setItem(i, 1, QTableWidgetItem(step.get('gate', '')))
self.algorithm_table.setItem(i, 2, QTableWidgetItem(str(step.get('target', ''))))
self.algorithm_table.setItem(i, 3, QTableWidgetItem(str(step.get('control', ''))))
self.algorithm_table.setItem(i, 4, QTableWidgetItem(str(step.get('angle', ''))))
def update_bloch_sphere(self):
qubit = int(self.bloch_qubit.currentText())
x, y, z = self.qc.get_bloch_coordinates(qubit)
if x is not None:
self.bloch_widget.set_coordinates(x, y, z)
def clear_bloch_history(self):
self.bloch_widget.clear_points()
def update_combos(self):
n = self.qc.num_qubits
self.target_combo.clear()
self.target_combo.addItems([str(i) for i in range(n)])
self.control_combo.clear()
self.control_combo.addItems([str(i) for i in range(n)])
self.cnot_target_combo.clear()
self.cnot_target_combo.addItems([str(i) for i in range(n)])
self.measure_combo.clear()
self.measure_combo.addItems([str(i) for i in range(n)])
self.swap1_combo.clear()
self.swap1_combo.addItems([str(i) for i in range(n)])
self.swap2_combo.clear()
self.swap2_combo.addItems([str(i) for i in range(n)])
self.bloch_qubit.clear()
self.bloch_qubit.addItems([str(i) for i in range(n)])
def update_display(self):
# Вектор состояния
state_str = self.qc.get_state_string()
self.state_display.setText(state_str)
# Вероятности
probs = self.qc.get_probabilities()
self.prob_table.setRowCount(len(probs))
for i, (state, prob) in enumerate(probs):
state_item = QTableWidgetItem(state)
state_item.setTextAlignment(Qt.AlignCenter)
self.prob_table.setItem(i, 0, state_item)
prob_item = QTableWidgetItem(f"{prob*100:.2f}%")
prob_item.setTextAlignment(Qt.AlignCenter)
if prob > 0.5:
prob_item.setBackground(QColor(173, 255, 173))
elif prob > 0.1:
prob_item.setBackground(QColor(255, 255, 173))
self.prob_table.setItem(i, 1, prob_item)
# Состояния кубитов
qubit_states = self.qc.get_qubit_states()
self.qubit_table.setRowCount(len(qubit_states))
for i, state in enumerate(qubit_states):
index_item = QTableWidgetItem(str(state["index"]))
index_item.setTextAlignment(Qt.AlignCenter)
self.qubit_table.setItem(i, 0, index_item)
measured_item = QTableWidgetItem("Да" if state["measured"] else "Нет")
measured_item.setTextAlignment(Qt.AlignCenter)
if state["measured"]:
measured_item.setBackground(QColor(255, 200, 200))
self.qubit_table.setItem(i, 1, measured_item)
prob0_item = QTableWidgetItem(f"{state['prob0']*100:.2f}%")
prob0_item.setTextAlignment(Qt.AlignCenter)
self.qubit_table.setItem(i, 2, prob0_item)
prob1_item = QTableWidgetItem(f"{state['prob1']*100:.2f}%")
prob1_item.setTextAlignment(Qt.AlignCenter)
self.qubit_table.setItem(i, 3, prob1_item)
results = ", ".join(map(str, state["results"])) if state["results"] else "-"
results_item = QTableWidgetItem(results)
results_item.setTextAlignment(Qt.AlignCenter)
self.qubit_table.setItem(i, 4, results_item)
if __name__ == "__main__":
app = QApplication(sys.argv)
app.setStyle("Fusion")
font = QFont()
font.setPointSize(10)
app.setFont(font)
window = QuantumComputerGUI()
window.show()
sys.exit(app.exec_())