{
  "timestamp": "2026-02-09T17:05:25.463253",
  "title": "SU(N) Heterogeneous Qudit Entanglement",
  "experiments": [
    {
      "name": "Qudit Scaling",
      "tests": [
        {
          "dimension": 2,
          "log2_bits": 1.0,
          "advantage_percent": 0.0
        },
        {
          "dimension": 3,
          "log2_bits": 1.584962500721156,
          "advantage_percent": 58.49625007211561
        },
        {
          "dimension": 4,
          "log2_bits": 2.0,
          "advantage_percent": 100.0
        },
        {
          "dimension": 5,
          "log2_bits": 2.321928094887362,
          "advantage_percent": 132.19280948873623
        },
        {
          "dimension": 6,
          "log2_bits": 2.584962500721156,
          "advantage_percent": 158.4962500721156
        },
        {
          "dimension": 7,
          "log2_bits": 2.807354922057604,
          "advantage_percent": 180.7354922057604
        },
        {
          "dimension": 8,
          "log2_bits": 3.0,
          "advantage_percent": 200.0
        },
        {
          "dimension": 9,
          "log2_bits": 3.169925001442312,
          "advantage_percent": 216.9925001442312
        },
        {
          "dimension": 10,
          "log2_bits": 3.321928094887362,
          "advantage_percent": 232.19280948873623
        },
        {
          "dimension": 11,
          "log2_bits": 3.4594316186372973,
          "advantage_percent": 245.94316186372973
        },
        {
          "dimension": 13,
          "log2_bits": 3.700439718141092,
          "advantage_percent": 270.0439718141092
        },
        {
          "dimension": 17,
          "log2_bits": 4.087462841250339,
          "advantage_percent": 308.7462841250339
        }
      ]
    },
    {
      "name": "Prime Qudit Entanglement",
      "tests": [
        {
          "primes": [
            3,
            5,
            7,
            11,
            13,
            17
          ],
          "hilbert_dimension": 255255,
          "equivalent_qubits": 17.96157969569485,
          "qubit_overhead_percent": 2.6279449462890625
        }
      ]
    },
    {
      "name": "Generalized Bell States",
      "tests": [
        {
          "dimension": 3,
          "entropy": 1.584962500721156,
          "max_entropy": 1.584962500721156,
          "is_maximally_entangled": "True"
        },
        {
          "dimension": 5,
          "entropy": 2.3219280948873626,
          "max_entropy": 2.321928094887362,
          "is_maximally_entangled": "True"
        },
        {
          "dimension": 7,
          "entropy": 2.807354922057604,
          "max_entropy": 2.807354922057604,
          "is_maximally_entangled": "True"
        },
        {
          "dimension": 11,
          "entropy": 3.4594316186372978,
          "max_entropy": 3.4594316186372973,
          "is_maximally_entangled": "True"
        },
        {
          "dimension": 13,
          "entropy": 3.7004397181410926,
          "max_entropy": 3.700439718141092,
          "is_maximally_entangled": "True"
        },
        {
          "dimension": 17,
          "entropy": 4.087462841250339,
          "max_entropy": 4.087462841250339,
          "is_maximally_entangled": "True"
        }
      ]
    },
    {
      "name": "SU(N) Generators",
      "tests": [
        {
          "N": 2,
          "generators": 3
        },
        {
          "N": 3,
          "generators": 8
        },
        {
          "N": 4,
          "generators": 15
        },
        {
          "N": 5,
          "generators": 24
        },
        {
          "N": 7,
          "generators": 48
        },
        {
          "N": 8,
          "generators": 63
        },
        {
          "N": 11,
          "generators": 120
        },
        {
          "N": 13,
          "generators": 168
        },
        {
          "N": 17,
          "generators": 288
        },
        {
          "total_generators": 656,
          "primes": [
            3,
            5,
            7,
            11,
            13,
            17
          ]
        }
      ]
    },
    {
      "name": "Information Density",
      "tests": [
        {
          "prime_qudits": 6,
          "prime_information_bits": 17.96157969569485,
          "equivalent_qubits": 18
        }
      ]
    },
    {
      "name": "Universal Pattern",
      "tests": [
        {
          "dimension": 3,
          "generators": 8,
          "max_entropy": 1.584962500721156,
          "pattern_holds": true
        },
        {
          "dimension": 5,
          "generators": 24,
          "max_entropy": 2.321928094887362,
          "pattern_holds": true
        },
        {
          "dimension": 7,
          "generators": 48,
          "max_entropy": 2.807354922057604,
          "pattern_holds": true
        },
        {
          "dimension": 11,
          "generators": 120,
          "max_entropy": 3.4594316186372973,
          "pattern_holds": true
        },
        {
          "dimension": 13,
          "generators": 168,
          "max_entropy": 3.700439718141092,
          "pattern_holds": true
        },
        {
          "dimension": 17,
          "generators": 288,
          "max_entropy": 4.087462841250339,
          "pattern_holds": true
        }
      ]
    },
    {
      "name": "Tensor Product",
      "tests": [
        {
          "total_dimension": 255255,
          "partition_A": [
            3,
            5,
            7
          ],
          "partition_B": [
            11,
            13,
            17
          ],
          "max_bipartite_entropy": 6.714245517666122
        }
      ]
    }
  ],
  "summary": {
    "experiments": 7,
    "validations": 37,
    "hilbert_dimension": 255255,
    "equivalent_qubits": 17.96157969569485,
    "all_bell_states_maximal": true,
    "pattern_verified": true
  }
}