研究目的
To develop a quantum image encryption algorithm based on Henon mapping that operates entirely on quantum computers, eliminating dependence on classical computers and enhancing security and convenience.
研究成果
The quantum image encryption algorithm based on Henon mapping is feasible, secure, and reliable, with good statistical properties and key sensitivity. Future work should focus on optimizing the Henon mapping for better efficiency and safety on quantum computers.
研究不足
The algorithm relies on quantum computers, which are not yet widely available; the improvement method for Henon mapping may not be optimal, and efficiency on quantum hardware is not fully explored.
1：Experimental Design and Method Selection:
The algorithm uses the GQIR quantum image representation model and two-dimensional Henon chaotic mapping. It involves generating a chaotic sequence in a quantum computer, improving it via binary shift, and encrypting the image by XORing with the sequence.
2：Sample Selection and Data Sources:
Simulation experiments are conducted using images such as Lena, Cameraman, Peppers, and Boats, with initial values x0=
3：2, y0=1, a=4, b=List of Experimental Equipment and Materials:
Quantum circuits including quantum adders, multipliers, subtractors, and CNOT gates are used; no specific physical equipment is mentioned, as it is a theoretical simulation.
4：Experimental Procedures and Operational Workflow:
Step 1: Generate Henon chaotic sequence in quantum computer with iterations. Step 2: Improve sequence using binary shift (left shift by 13 digits). Step 3: Encrypt image by XORing with the sequence pixel by pixel using CNOT gates. Decryption is the same process.
5：Data Analysis Methods:
Statistical analysis includes histogram analysis and correlation coefficients of adjacent pixels, performed using simulations (e.g., in Matlab).
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