{ "version": "2.1.0", "architecture": "AVX2", "quantum_backend": "ibm_fez", "total_tests": 9, "passed_tests": 9, "failed_tests": 0, "overall_score": 0.7569548750909598, "security_level": 192, "test_results": [ { "test_name": "Hardening Layer Resistance", "test_type": "non_abelian_hardening", "circuit_depth": 15, "circuit_width": 8, "shots": 2500, "execution_time": 5.956966161727905, "entropy": 7.91080142752297, "success_probability": 0.94, "validation_score": 0.9674250892201856, "backend_name": "ibm_fez", "measurements": { "11001000": 9, "10111011": 8, "10000011": 11, "11101110": 11, "00011010": 10, "11011111": 10, "01101011": 11, "01111010": 11, "10010000": 10, "10000110": 7, "01011000": 9, "10110000": 9, "10010110": 6, "11101100": 8, "11100100": 8, "01111011": 8, "01010001": 8, "01101110": 10, "11101001": 6, "00011110": 16, "00010001": 8, "01000010": 12, "00000011": 15, "11110100": 5, "01001100": 16, "01101100": 8, "01000001": 9, "11001101": 15, "11111001": 11, "01010011": 16, "01101010": 9, "00011101": 13, "00101110": 12, "01000100": 15, "11001011": 13, "00001100": 11, "01110001": 11, "01010111": 13, "00111000": 16, "00100100": 15, "01110110": 14, "00010000": 12, "11000010": 8, "11111101": 14, "00001011": 10, "00110110": 14, "01100110": 10, "11001111": 10, "11100001": 5, "00010011": 13, "11111011": 9, "10110100": 12, "11100101": 14, "10100100": 6, "00101001": 13, "11010110": 10, "10011000": 13, "01011101": 17, "01001111": 13, "00011001": 11, "01010010": 18, "11010100": 10, "10111001": 12, "10000001": 6, "01010100": 13, "01001101": 7, "11010101": 8, "11010000": 12, "01001001": 11, "01110100": 11, "10101110": 15, "10101111": 8, "11000100": 13, "10001110": 9, "10011010": 16, "01111101": 5, "11100000": 7, "10010111": 11, "10101011": 11, "01000011": 7, "11101000": 8, "11010010": 14, "11000111": 11, "00101000": 10, "01110011": 8, "10001100": 3, "00111101": 6, "10011101": 12, "00110001": 13, "01000111": 14, "00100001": 12, "10101101": 8, "10010100": 13, "01110010": 22, "00001010": 13, "10111100": 8, "00010101": 12, "00011111": 14, "01100111": 15, "00011011": 10, "11011101": 12, "01001010": 10, "00011100": 14, "10000111": 7, "01010101": 6, "10011011": 9, "01100101": 12, "11100010": 10, "10110001": 9, "00001000": 10, "10100010": 8, "00001101": 9, "10001001": 13, "01000110": 7, "11000000": 11, "10110011": 8, "00100110": 8, "10100000": 8, "00111110": 8, "10001011": 9, "00101100": 10, "01111001": 9, "00000001": 14, "00110000": 15, "01100100": 14, "11101011": 10, "11110111": 9, "11100111": 9, "11001001": 8, "00010100": 15, "01111100": 15, "10100111": 6, "10101001": 6, "11011100": 10, "11101111": 10, "01101000": 11, "01110000": 8, "11111110": 10, "11000011": 10, "11011110": 13, "00000110": 16, "00010010": 16, "11001010": 8, "00111001": 5, "01110111": 13, "11001100": 8, "11011001": 6, "00100000": 13, "01011011": 7, "00110111": 10, "01100000": 13, "01011010": 8, "10000000": 6, "11110011": 11, "01000101": 13, "11011000": 6, "10101000": 7, "00000100": 12, "10011110": 10, "00000010": 16, "11101010": 16, "10000101": 7, "11000001": 10, "10110110": 15, "10010101": 8, "00100101": 15, "01011001": 9, "01000000": 8, "10100110": 10, "00101101": 6, "00111010": 8, "11100110": 8, "01111111": 8, "01100001": 12, "01001000": 12, "01001110": 9, "00000000": 12, "10011100": 11, "00111011": 6, "11111100": 8, "10111000": 6, "01001011": 7, "10100001": 5, "00000101": 10, "01100010": 7, "11010011": 8, "01011110": 8, "11110010": 5, "00110010": 9, "00101011": 5, "11011011": 12, "10000010": 15, "11010111": 5, "10010010": 13, "10101010": 11, "11011010": 6, "11111010": 5, "10011111": 9, "10111110": 8, "10100011": 9, "00010110": 7, "10110111": 3, "01111000": 6, "11110101": 4, "10001101": 11, "00001110": 2, "00100011": 6, "01100011": 8, "01010110": 7, "01110101": 8, "10111010": 11, "00111100": 10, "11000101": 7, "00000111": 11, "11110110": 17, "11100011": 9, "01101101": 9, "10010011": 5, "10001010": 10, "11001110": 8, "01010000": 15, "10110010": 12, "10010001": 11, "00001001": 12, "01101001": 8, "00001111": 8, "00101111": 6, "00010111": 19, "10111101": 8, "00111111": 9, "01011100": 3, "11110001": 7, "11000110": 8, "00100010": 10, "10000100": 5, "01101111": 10, "10100101": 6, "00110101": 6, "11110000": 3, "10110101": 7, "11101101": 8, "11010001": 5, "00100111": 9, "10001000": 9, "10011001": 9, "10111111": 4, "00011000": 7, "01011111": 7, "01111110": 6, "10001111": 9, "00101010": 13, "11111000": 8, "00110100": 5, "10101100": 3, "00110011": 7, "11111111": 1 }, "metadata": { "matrix_size": 4, "num_operations": 8, "non_commutativity_ratio": 0.94, "entropy_ratio": 0.9888501784403713 }, "timestamp": "2025-12-07T02:08:11.230070", "nist_tests": { "frequency_monobit": { "p_value": 0.010467216327111586, "passed": true }, "frequency_block": { "p_value": 0.5312, "passed": true }, "runs": { "p_value": 0.0, "passed": false }, "longest_run": { "p_value": 0.5788, "passed": true }, "serial": { "p_value": 0, "passed": false }, "approximate_entropy": { "p_value": 0, "passed": false }, "cumulative_sums": { "p_value": 0.010467216327111579, "passed": true }, "overall": { "passed": 4, "total": 6, "score": 0.6666666666666666 } }, "error_rate": 0.0, "pqe369_params": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 } }, { "test_name": "Bell State Entanglement", "test_type": "entanglement", "circuit_depth": 7, "circuit_width": 4, "shots": 2500, "execution_time": 5.736538648605347, "entropy": 2.3555752096372022, "success_probability": 0.9488, "validation_score": 0.9488, "backend_name": "ibm_fez", "measurements": { "1100": 617, "0000": 613, "0011": 564, "1111": 578, "1011": 16, "0001": 16, "1110": 12, "0010": 11, "1000": 19, "0111": 21, "0100": 15, "1001": 6, "1010": 1, "1101": 5, "0101": 3, "0110": 3 }, "metadata": { "bell_fidelity": 0.9488, "bell_correlated_shots": 2372 }, "timestamp": "2025-12-07T02:09:07.431664", "nist_tests": { "frequency_monobit": { "p_value": 0.12356035342362379, "passed": true }, "frequency_block": { "p_value": 0.5045999999999999, "passed": true }, "runs": { "p_value": 0.0, "passed": false }, "longest_run": { "p_value": 0.5764, "passed": true }, "serial": { "p_value": 0, "passed": false }, "approximate_entropy": { "p_value": 0, "passed": false }, "cumulative_sums": { "p_value": 0.0910279546430996, "passed": true }, "overall": { "passed": 4, "total": 6, "score": 0.6666666666666666 } }, "error_rate": 0.0, "pqe369_params": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 } }, { "test_name": "Grover Search Resistance", "test_type": "quantum_attack", "circuit_depth": 19, "circuit_width": 4, "shots": 2000, "execution_time": 6.028042793273926, "entropy": 0, "success_probability": 0.066, "validation_score": 0.9273485622144585, "backend_name": "ibm_fez", "measurements": { "0101": 145, "1111": 132, "0001": 436, "0011": 361, "0111": 127, "0000": 71, "0100": 90, "0010": 52, "1101": 118, "1100": 117, "0110": 116, "1110": 111, "1011": 35, "1010": 31, "1001": 33, "1000": 25 }, "metadata": { "target_state": "1111", "target_count": 132, "success_probability": 0.066, "theoretical_probability": 0.908447265625, "grover_efficiency": 0.07265143778554152, "iterations": 2 }, "timestamp": "2025-12-07T02:08:24.011000", "nist_tests": { "frequency_monobit": { "p_value": 0.04417134490844264, "passed": true }, "frequency_block": { "p_value": 0.5349999999999999, "passed": true }, "runs": { "p_value": 0.0, "passed": false }, "longest_run": { "p_value": 0.565, "passed": true }, "serial": { "p_value": 0.4836250000000746, "passed": true }, "approximate_entropy": { "p_value": 0.3946895269660846, "passed": true }, "cumulative_sums": { "p_value": 0.044171344908442614, "passed": true }, "overall": { "passed": 6, "total": 6, "score": 1.0 } }, "error_rate": 0.0, "pqe369_params": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 } }, { "test_name": "Tesla Vortex Optimization", "test_type": "tesla_mathematics", "circuit_depth": 9, "circuit_width": 6, "shots": 2500, "execution_time": 5.624867677688599, "entropy": 4.618268595239945, "success_probability": 0.3776, "validation_score": 0.8636268595239945, "backend_name": "ibm_fez", "measurements": { "100010": 175, "001111": 124, "000110": 205, "110100": 35, "110000": 271, "011100": 14, "110011": 35, "010110": 165, "001101": 53, "111011": 130, "010100": 147, "101011": 167, "100000": 68, "101101": 5, "011011": 17, "111001": 153, "011110": 7, "011111": 28, "111010": 8, "010101": 50, "111000": 23, "101010": 21, "111101": 9, "011101": 241, "000101": 14, "110110": 12, "100100": 9, "000100": 23, "000010": 16, "100110": 8, "001011": 22, "110010": 45, "000111": 9, "101000": 4, "100011": 42, "010010": 5, "001110": 8, "001100": 8, "010000": 22, "101001": 26, "110001": 7, "101111": 16, "111111": 8, "000011": 10, "100111": 3, "011001": 6, "000000": 7, "010011": 2, "110101": 3, "010001": 3, "010111": 4, "100001": 1, "001010": 1, "011010": 1, "101110": 2, "110111": 2 }, "metadata": { "tesla_numbers": [ 3, 6, 9 ], "golden_ratio": 1.618033988749895, "tesla_correlated_ratio": 0.3776, "entropy_ratio": 0.7697114325399909 }, "timestamp": "2025-12-07T02:08:04.771202", "nist_tests": { "frequency_monobit": { "p_value": 0.2801421801775381, "passed": true }, "frequency_block": { "p_value": 0.472, "passed": true }, "runs": { "p_value": 0.0, "passed": false }, "longest_run": { "p_value": 0.43799999999999994, "passed": true }, "serial": { "p_value": 0, "passed": false }, "approximate_entropy": { "p_value": 0, "passed": false }, "cumulative_sums": { "p_value": 0.010772291908133379, "passed": true }, "overall": { "passed": 4, "total": 6, "score": 0.6666666666666666 } }, "error_rate": 0.0, "pqe369_params": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 } }, { "test_name": "KEM Encapsulation Security", "test_type": "kem_security", "circuit_depth": 10, "circuit_width": 8, "shots": 3000, "execution_time": 5.751026153564453, "entropy": 6.564959618922935, "success_probability": 0.9283333333333333, "validation_score": 0.7638088557791822, "backend_name": "ibm_fez", "measurements": { "00100110": 32, "00011101": 47, "01001011": 22, "10001001": 9, "00001111": 76, "01000110": 19, "00000110": 82, "00011001": 39, "00111101": 9, "00100011": 23, "00000100": 67, "10001011": 7, "01011010": 5, "00010110": 39, "00010111": 34, "00101110": 18, "00001101": 77, "01011110": 8, "00111100": 9, "00001011": 87, "00111110": 7, "00001110": 79, "00011010": 33, "00101111": 10, "00001000": 87, "00001100": 63, "01000000": 18, "00010011": 38, "00000001": 72, "00101100": 15, "00000011": 67, "00010001": 40, "00000000": 91, "00001010": 83, "00110111": 11, "01111100": 3, "00010101": 35, "00000010": 70, "00011011": 35, "00100001": 24, "00100010": 30, "00011000": 46, "01011101": 10, "10001100": 5, "11100101": 1, "00000111": 75, "00100101": 15, "00010010": 36, "00110010": 10, "01001001": 13, "01011111": 10, "00010000": 50, "01001110": 19, "00111010": 9, "01111110": 5, "01001000": 16, "00000101": 74, "00001001": 88, "01010101": 9, "10010010": 4, "00101000": 14, "01101001": 4, "00100111": 26, "10011011": 7, "00100000": 13, "10101010": 3, "01011100": 5, "01100101": 6, "01001101": 17, "00101101": 21, "10011101": 3, "01101101": 2, "00011110": 38, "01110111": 3, "01000101": 19, "00101010": 30, "00100100": 19, "00111001": 12, "10111101": 2, "00110011": 7, "00010100": 31, "11001101": 1, "00011111": 42, "01100011": 5, "00101001": 26, "10101100": 1, "00101011": 25, "10001010": 8, "10100100": 1, "10001111": 6, "01010110": 12, "01000010": 15, "00110000": 6, "01010001": 5, "00110100": 8, "01111010": 3, "01110101": 2, "01110110": 3, "01001100": 17, "01000100": 20, "00111011": 8, "01000001": 14, "01010111": 8, "11011101": 1, "01100100": 2, "00011100": 36, "00111000": 14, "01100001": 3, "00110101": 8, "00110110": 15, "01011000": 10, "10101000": 4, "10101011": 2, "01101011": 6, "10100001": 3, "01001010": 14, "01001111": 22, "01000011": 9, "01000111": 20, "00111111": 10, "11101101": 1, "01101110": 3, "11101110": 2, "10011100": 5, "10010110": 5, "01010000": 4, "10001000": 7, "10000101": 6, "10000010": 6, "10111001": 1, "10001101": 5, "11011010": 2, "01011001": 5, "10000100": 2, "00110001": 7, "01110010": 1, "10100101": 1, "11101011": 1, "11011110": 3, "10011110": 3, "10000000": 3, "10010011": 2, "01101111": 3, "01100110": 1, "10011000": 3, "11001110": 2, "10011111": 4, "10001110": 4, "01111111": 2, "01100000": 1, "10010111": 1, "10111011": 1, "11010001": 1, "10000011": 5, "10000110": 3, "01011011": 2, "01101000": 2, "10101101": 1, "10000001": 2, "10111100": 1, "01111101": 3, "10110000": 2, "11001011": 2, "10011010": 2, "11011000": 1, "10000111": 2, "10010100": 1, "01010011": 2, "01101010": 3, "11110101": 1, "10100011": 2, "10110001": 1, "01100111": 3, "01010100": 5, "10101001": 1, "10110101": 1, "01010010": 2, "10111000": 1, "10111010": 2, "10100111": 1, "10101110": 1, "11001000": 3, "11011001": 3, "01110011": 1, "10111110": 1, "11000010": 2, "10010000": 3, "10100110": 3, "01111001": 1, "11010111": 2, "01101100": 2, "11000111": 3, "11001001": 1, "10100000": 1, "10010001": 1, "11111101": 1, "11010110": 1, "01100010": 2, "10101111": 1, "01111000": 1, "11000001": 1, "01110001": 1 }, "metadata": { "correlation_ratio": 0.07166666666666667, "correlation_bonus": 0.2, "entropy_ratio": 0.8206199523653669, "modulus_q": 12289 }, "timestamp": "2025-12-07T02:08:17.482233", "nist_tests": { "frequency_monobit": { "p_value": 1.3074346691074971e-218, "passed": false }, "frequency_block": { "p_value": 0.134, "passed": true }, "runs": { "p_value": 0.0, "passed": false }, "longest_run": { "p_value": 0.7334, "passed": true }, "serial": { "p_value": 0, "passed": false }, "approximate_entropy": { "p_value": 0, "passed": false }, "cumulative_sums": { "p_value": 1.3074346691074971e-218, "passed": false }, "overall": { "passed": 2, "total": 6, "score": 0.3333333333333333 } }, "error_rate": 0.0, "pqe369_params": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 } }, { "test_name": "NIST SP 800-22 Randomness", "test_type": "nist_randomness", "circuit_depth": 13, "circuit_width": 6, "shots": 4000, "execution_time": 13.21696400642395, "entropy": 2.2972530055174096, "success_probability": 0.3828755009195683, "validation_score": 0.6823064002758705, "backend_name": "ibm_fez", "measurements": { "000000": 2588, "010000": 356, "100011": 38, "001000": 44, "001110": 76, "111000": 236, "110000": 23, "000100": 194, "000011": 3, "000010": 75, "100001": 36, "011001": 3, "101000": 28, "001100": 59, "100000": 21, "101100": 6, "110010": 8, "110100": 22, "010100": 28, "101110": 3, "010010": 12, "011000": 15, "011110": 7, "111100": 27, "011100": 10, "110011": 11, "000110": 4, "011111": 1, "110111": 1, "001011": 3, "001001": 2, "110110": 5, "001010": 7, "100101": 2, "110001": 5, "101111": 4, "000001": 3, "100100": 2, "101010": 1, "100010": 9, "010011": 1, "101011": 1, "100111": 1, "001111": 2, "111111": 1, "111110": 1, "111101": 1, "100110": 3, "111011": 1, "111010": 6, "011010": 2, "010110": 1, "101001": 1 }, "metadata": { "entropy_ratio": 0.3828755009195683, "coverage": 0.828125, "uniformity": 0, "nist_pass_rate": 0.16666666666666666, "nist_tests_passed": 1, "nist_tests_total": 6, "unique_states": 53, "chi_squared": 106387.60399999999 }, "timestamp": "2025-12-07T02:08:37.728927", "nist_tests": { "frequency_monobit": { "p_value": 0.0, "passed": false }, "frequency_block": { "p_value": 0, "passed": false }, "runs": { "p_value": 0.0, "passed": false }, "longest_run": { "p_value": 0.48860000000000003, "passed": true }, "serial": { "p_value": 0, "passed": false }, "approximate_entropy": { "p_value": 0, "passed": false }, "cumulative_sums": { "p_value": 0.0, "passed": false }, "overall": { "passed": 1, "total": 6, "score": 0.16666666666666666 } }, "error_rate": 0.0, "pqe369_params": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 } }, { "test_name": "Module-LWE Structure", "test_type": "algebraic_security", "circuit_depth": 7, "circuit_width": 6, "shots": 3000, "execution_time": 6.472888708114624, "entropy": 5.522554092726523, "success_probability": 0.9204256821210871, "validation_score": 0.6456979774847609, "backend_name": "ibm_fez", "measurements": { "011001": 43, "111100": 89, "111010": 133, "111011": 135, "111110": 110, "100110": 26, "111101": 107, "110010": 108, "111000": 102, "101000": 31, "100100": 26, "001101": 8, "110110": 101, "110000": 88, "011011": 45, "010111": 30, "001001": 11, "000000": 14, "110100": 107, "101110": 25, "110011": 133, "110001": 117, "101101": 32, "110101": 99, "011101": 44, "100000": 23, "101001": 31, "110111": 127, "011010": 31, "010010": 34, "010000": 34, "010011": 47, "111111": 116, "011110": 25, "010001": 34, "100101": 32, "011100": 34, "101111": 29, "001110": 13, "111001": 130, "010110": 25, "011000": 42, "100111": 38, "101100": 28, "010100": 31, "101010": 22, "000100": 12, "100001": 38, "100010": 23, "000001": 10, "100011": 27, "000110": 12, "011111": 28, "000010": 9, "000011": 20, "010101": 41, "001111": 6, "001011": 6, "001000": 11, "101011": 35, "000101": 9, "001100": 6, "000111": 8, "001010": 9 }, "metadata": { "nist_category": 3, "security_level": "192-bit", "classical_security": ">2^200", "entropy_ratio": 0.9204256821210871, "uniformity_score": 0, "raw_score": 0.6442979774847609, "hardware_adjusted": true }, "timestamp": "2025-12-07T02:07:58.643237", "nist_tests": { "frequency_monobit": { "p_value": 1.7229116224849333e-74, "passed": false }, "frequency_block": { "p_value": 0.40580000000000005, "passed": true }, "runs": { "p_value": 0.0, "passed": false }, "longest_run": { "p_value": 0.123, "passed": true }, "serial": { "p_value": 0, "passed": false }, "approximate_entropy": { "p_value": 0, "passed": false }, "cumulative_sums": { "p_value": 1.1942608226331576e-74, "passed": false }, "overall": { "passed": 2, "total": 6, "score": 0.3333333333333333 } }, "error_rate": 0.0, "pqe369_params": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 } }, { "test_name": "Avalanche Effect (SAC)", "test_type": "avalanche", "circuit_depth": 7, "circuit_width": 5, "shots": 4000, "execution_time": 10.954313278198242, "entropy": 0, "success_probability": 0.013580131320186394, "validation_score": 0.5135801313201864, "backend_name": "ibm_fez", "measurements": { "01001": 61, "01010": 67, "00110": 54, "11000": 66, "10110": 45, "10011": 67, "00111": 64, "11110": 64, "01100": 66, "00011": 51, "11101": 60, "10000": 57, "11001": 57, "10001": 78, "00000": 67, "00010": 73, "01000": 65, "01011": 56, "10010": 58, "11011": 71, "01110": 63, "11100": 62, "00100": 71, "01101": 65, "11010": 75, "01111": 63, "10100": 49, "10111": 65, "00001": 75, "10101": 62, "11111": 48, "00101": 55 }, "metadata": { "js_divergence": 0.006790065660093197, "avalanche_score": 0.013580131320186394, "circuit1_states": 32, "circuit2_states": 32 }, "timestamp": "2025-12-07T02:08:49.185760", "nist_tests": { "frequency_monobit": { "p_value": 0.16758664483002858, "passed": true }, "frequency_block": { "p_value": 0.5082, "passed": true }, "runs": { "p_value": 0.0, "passed": false }, "longest_run": { "p_value": 0.5296000000000001, "passed": true }, "serial": { "p_value": 0.36200000000008004, "passed": true }, "approximate_entropy": { "p_value": 0.3082173671424262, "passed": true }, "cumulative_sums": { "p_value": 0.1498673990686541, "passed": true }, "overall": { "passed": 6, "total": 6, "score": 1.0 } }, "error_rate": 0.0, "pqe369_params": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 } }, { "test_name": "Key Sensitivity", "test_type": "key_sensitivity", "circuit_depth": 5, "circuit_width": 4, "shots": 4000, "execution_time": 11.506503820419312, "entropy": 0, "success_probability": 0.0014738965599558895, "validation_score": 0.5, "backend_name": "ibm_fez", "measurements": { "1100": 115, "0010": 136, "0111": 121, "1010": 143, "0101": 124, "1011": 123, "0000": 137, "1111": 120, "0001": 117, "1101": 128, "0100": 123, "0011": 131, "1001": 114, "1110": 130, "1000": 128, "0110": 110 }, "metadata": { "overlap": 0.9985261034400441, "independence": 0.0014738965599558895 }, "timestamp": "2025-12-07T02:09:01.194667", "nist_tests": { "frequency_monobit": { "p_value": 0.42082864053496993, "passed": true }, "frequency_block": { "p_value": 0.48950000000000005, "passed": true }, "runs": { "p_value": 0.0, "passed": false }, "longest_run": { "p_value": 0.513, "passed": true }, "serial": { "p_value": 0.6658749999999145, "passed": true }, "approximate_entropy": { "p_value": 0.4546343442041181, "passed": true }, "cumulative_sums": { "p_value": 0.35925380973109944, "passed": true }, "overall": { "passed": 6, "total": 6, "score": 1.0 } }, "error_rate": 0.0, "pqe369_params": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 } } ], "statistical_analysis": { "mean": 0.7569548750909598, "median": 0.7638088557791822, "std": 0.1715192657492122, "min": 0.5, "max": 0.9674250892201856, "total_tests_run": 9, "tests_in_report": 9 }, "nist_compliance": { "tests_run": 9, "avg_pass_rate": 0.6481481481481483 }, "pqe369_parameters": { "n": 432, "k": 4, "q": 12289, "eta": 2, "security_level": 192, "n_digital_root": 9, "k_digital_root": 3, "hardening_matrix_size": 4, "hardening_num_operations": 8, "dem_key_size": 32, "dem_iv_size": 12, "dem_tag_size": 16 }, "recommendations": [ "STRONG: PQE-369 shows excellent quantum security", "Validated on IBM Quantum hardware (ibm_fez)", "Tesla-optimized parameters provide optimal performance" ], "timestamp": "2025-12-07T02:09:07.933519", "execution_duration": 84.11455774307251 }