Bell-State Entanglement Visualizer

Quantum

$H$ on $q_0$ followed by $\operatorname{CNOT}(q_0\to q_1)$ . Toggling the initialization ports selects which Bell pair is prepared; amplitudes and the correlation index are derived, and a measure button accumulates real Born-rule shots.

Live circuit register prepared

Hover an active operator to inspect its transform

state vector, Z basis |00⟩

Step through execution, hover a gate for its operator, then measure.

Causal signal trace paused

Prepare $\lvert 00\rangle$ Both qubits begin separable and deterministic.

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

Step 1 / 4 Prepare |00⟩

Notebook: 6 parts and 5 wires, modelled as state-vector + Born sampler

Recommended lab 3 of 18

Distinguish an entangled Bell state from a classical mixture using outcomes and CHSH.

Prerequisite: none — start here.

Predict, then test

After $H$ and CNOT prepare $|\Phi^+\rangle$ , which outcomes can a $Z$ -basis measurement produce?

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

Governing model

|\Phi^+\rangle = \dfrac{|00\rangle + |11\rangle}{\sqrt{2}} \;\cdot\; \langle Z \otimes Z \rangle \in [-1, +1]

Parts

$2\times$ qubit register line
Hadamard gate
CNOT control/target
measurement ports

Limits of the model

$4$ Bell states
amplitudes $\pm 1/\sqrt{2}$
CHSH witness $S\in[0,2\sqrt{2}]$

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

Notebook: 6 parts and 5 wires, modelled as state-vector + Born sampler

After HHH and CNOT prepare ∣Φ+⟩|\Phi^+\rangle∣Φ+⟩, which outcomes can a ZZZ-basis measurement produce?

After $H$ and CNOT prepare $|\Phi^+\rangle$ , which outcomes can a $Z$ -basis measurement produce?