Quantum Simulator v3

|0⟩ north pole
|1⟩ south pole
state vector
projection
Bell state presets
Qubit A
Qubit B
not entangled
Apply gates
State amplitudes |αᵢⱼ|²
|00⟩
100%
φ = 0°
|01⟩
0%
φ = 0°
|10⟩
0%
φ = 0°
|11⟩
0%
φ = 0°
Two-qubit quantum states
A two-qubit system lives in a 4-dimensional Hilbert space spanned by |00⟩, |01⟩, |10⟩, |11⟩. Start by pressing Φ⁺ (a Bell state), then hit Measure — notice that no matter how many times you measure, A and B always agree. That's entanglement: measuring one qubit instantly determines the other, regardless of distance.
Operation history
Gates
H
X
Y
Z
S
T
CNOT
M
Q₀
Q₁
State amplitudes
Step:
|00⟩
100%
|01⟩
0%
|10⟩
0%
|11⟩
0%
Build a circuit
Drag gates from the palette onto any slot in the Q₀ or Q₁ rows. CNOT placed on Q₀ controls Q₁ at the same step. Press Run to execute, or use Step → to advance one gate at a time and watch the state evolve.