Quantum entanglement probability amplitudes in multiple propagation channels: An interferometric approach

The well-known probability amplitude equation for two entangled quanta (n = 2) traveling in two different directions (N = 2) is explicitly extended to higher multiples of quanta (n = 4, 6, 8...)and higher even multiples of propagation channels (N = 4, 6, 8...). The case of N = 3, involves Hamilton's quaternions, and is also outlined.