Quantum Teleportation Protocol

Advanced quantum

Alice’s state $|\psi\rangle$ is parameterised on the Bloch angles. Stepped playback advances the register through entanglement, Bell measurement, and the classically controlled $X^{m_2}/Z^{m_1}$ corrections; hovering any gate reveals its action in Dirac notation.

Live circuit step 1 of 6, initialize

Drag θ and φ on the input state. Hover a gate for its action; click one to read it.

Causal signal trace paused

Prepare $\psi$ and ancillas The unknown state and two $\lvert 0\rangle$ ancillas enter on separate rails.

t_{\mathrm{stage}}=\htmlData{math-slot=value}{\mathtt{0.00}}\,\mathrm{s}

Step 1 / 6 Prepare ψ and ancillas

Notebook: 12 parts and 11 wires, modelled as stepped three-qubit protocol

Recommended lab 5 of 18

Explain why entanglement and two classical bits are both necessary for teleportation.

Builds on: Bell-State Entanglement Visualizer

Predict, then test

Alice completes her Bell measurement but Bob receives no correction bits. What happens to fidelity?

Commit before the explanation appears. This is a prediction, not a quiz score.

Governing model

|\psi\rangle = \alpha|0\rangle + \beta|1\rangle \;\cdot\; \alpha = \cos\tfrac{\theta}{2},\ \beta = e^{i\phi}\sin\tfrac{\theta}{2}

Parts

$3\times$ qubit trace $(\psi,A,B)$
$H$ + CNOT preparation
Bell-basis measurement
$X/Z$ correction gates

Limits of the model

Bloch $\theta\in[0,\pi],\ \phi\in[0,2\pi]$
$6$ -step protocol
fidelity $F=|\langle\psi|\psi_{out}\rangle|^2$

Diagnosis challenge The fault is hidden. Work it out from the changed outputs first.