Quantum Teleportation Circuit: 8-State Vector Simulation

This is a genuine circuit-level simulation of quantum teleportation, computed in 2D rather than projected from a 3D Bloch-sphere scene. Instead of a lookup table of four pre-computed outcomes, the engine maintains the full 8-complex-amplitude statevector of the three-qubit register (Alice's unknown qubit C, her half of the entangled pair A, and Bob's half B), applies real Hadamard, controlled-NOT, rotation and phase gate matrices in the exact order of the textbook teleportation circuit, and samples a projective measurement from the live Born-rule probabilities each run. The interface visualizes this two ways that make sense in two dimensions: a quantum circuit diagram showing every gate in sequence with the classical bits physically travelling from Alice's measurement to Bob's correction box, and an Argand-plane plot of the complex amplitudes α and β — since a single qubit's pure state is exactly two complex numbers, that plane is a complete, undistorted 2D representation, not a flattened 3D one. A live bar chart of all eight basis-state probabilities shows the entanglement structure directly, and toggling the Pauli correction off demonstrates numerically that Bob's uncorrected qubit only reaches 50% average fidelity to the original, while the corrected protocol reaches exactly 100% on every single run.