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Table 2 The table shows data from the ENT testing of the ciphertext produced by encrypting the picture of Einstein using 2- and 3-qubits QPP. We also include ideal values of the ENT testing in the first column for comparison

From: Quantum encryption with quantum permutation pad in IBMQ systems

ENT test values

Ideal Values

2-qubits QPP

3-qubits QPP

AES-256

Plaintext

Entropy (bits)

7.98

7.934235

7.938312

7.936005

7.323068

Chi-square

256

277.57

270.07

250.98

8853.85

p-Value

[0.01,0.99]

0.1585

0.2471

0.5541

0.0001

Arithmetic Mean

127.50

127.6751

126.1195

129.0124

119.7248

Monte Carlo π

3.141592

3.128107075

3.112810707

2.986899563

3.120458891

Serial Correlation

0

−0.006264

−0.011305

−0.002608

0.244054