تصحيح الأخطاء الكمية عملياً

import numpy as np

alpha, beta = 0.6, 0.8

logical = np.zeros(8, dtype=complex)
logical[0] = alpha   # |000>
logical[7] = beta    # |111>

labels = [format(i, "03b") for i in range(8)]
for label, amp in zip(labels, logical):
    if abs(amp) > 1e-12:
        print(f"|{label}>: {amp.real:.2f}")

import numpy as np

alpha, beta = 0.6, 0.8
logical = np.zeros(8, dtype=complex)
logical[0] = alpha
logical[7] = beta

X = np.array([[0, 1], [1, 0]], dtype=complex)
I = np.eye(2, dtype=complex)
X2 = np.kron(np.kron(I, X), I)

corrupted = X2 @ logical
labels = [format(i, "03b") for i in range(8)]
print("الحالة بعد الخطأ:")
for label, amp in zip(labels, corrupted):
    if abs(amp) > 1e-12:
        print(f"|{label}>: {amp.real:.2f}")

def syndrome(bits):
    s1 = 1 if bits[0] == bits[1] else -1
    s2 = 1 if bits[1] == bits[2] else -1
    return (s1, s2)

table = {(1, 1): "لا يوجد خطأ", (-1, 1): "خطأ في الكيوبت 1",
         (-1, -1): "خطأ في الكيوبت 2", (1, -1): "خطأ في الكيوبت 3"}

for bits in ["000", "100", "010", "001"]:
    s = syndrome(bits)
    print(f"|{bits}> -> المتلازمة {s} -> {table[s]}")

import numpy as np

alpha, beta = 0.6, 0.8
logical = np.zeros(8, dtype=complex)
logical[0] = alpha
logical[7] = beta

X = np.array([[0, 1], [1, 0]], dtype=complex)
I = np.eye(2, dtype=complex)

def x_on(position):
    ops = [I, I, I]
    ops[position] = X
    return np.kron(np.kron(ops[0], ops[1]), ops[2])

corrupted = x_on(1) @ logical
recovered = x_on(1) @ corrupted

print("هل استُعيدت الحالة الأصلية؟", np.allclose(recovered, logical))
print("الاتساعات المستعادة:", round(float(recovered[0].real), 3), round(float(recovered[7].real), 3))