Quantum State Tomography: Reconstructing an Unknown Qubit

This simulator demonstrates quantum state tomography: reconstructing the full Bloch-sphere position of an unknown qubit state by combining repeated measurements across the X, Y and Z bases. A single measurement on a single copy of the qubit collapses it and reveals only one bit for the basis it was measured in — nothing directly about the other two axes. By preparing many identical copies of the same hidden state and measuring different copies in different bases, the outcome statistics for each basis converge to that basis's Bloch-vector component, and combining all three reconstructs the complete state. Hide a new random qubit, choose how many copies to measure per run, and watch the per-basis histograms, running component estimates, reconstructed marker and fidelity readout all converge toward the true (initially hidden) state as more measurements accumulate.