Toca Siguiente (o usa las teclas de flecha) para avanzar idea por idea. Al final te espera una verificación fija de tres preguntas: el punto de control del curso, con las mismas preguntas en cada intento. La ← en la parte superior te permite salir cuando quieras; el progreso se guarda.
Tensor products
Two qubits live in a four-dimensional state space with basis |00⟩, |01⟩, |10⟩, |11⟩. The tensor product combines individual systems. With n qubits, the pure state has 2ⁿ amplitudes.
State-space growth is exponential, but readable classical output remains limited.
Separable and entangled states
A separable state can be factored into individual qubit states. The Bell state (|00⟩+|11⟩)/√2 cannot. Measuring one qubit produces correlations with the other.
Entanglement is joint structure, not a communication channel.
Density matrices and partial trace
Density matrices represent pure and mixed states and allow subsystem analysis. Taking the partial trace of an entangled Bell state yields a maximally mixed single-qubit state.
A globally pure entangled state can produce locally mixed subsystems.
Applied activity
Complete a simulator or analysis exercise: reproduce the lesson's central example, record assumptions and outputs, and explain one source of error or limitation.
Leer el texto completo de la lección
1. Tensor products
Two qubits live in a four-dimensional state space with basis |00⟩, |01⟩, |10⟩, |11⟩. The tensor product combines individual systems. With n qubits, the pure state has 2ⁿ amplitudes.
State-space growth is exponential, but readable classical output remains limited.
2. Separable and entangled states
A separable state can be factored into individual qubit states. The Bell state (|00⟩+|11⟩)/√2 cannot. Measuring one qubit produces correlations with the other.
Entanglement is joint structure, not a communication channel.
3. Density matrices and partial trace
Density matrices represent pure and mixed states and allow subsystem analysis. Taking the partial trace of an entangled Bell state yields a maximally mixed single-qubit state.
A globally pure entangled state can produce locally mixed subsystems.
4. Applied activity
Complete a simulator or analysis exercise: reproduce the lesson's central example, record assumptions and outputs, and explain one source of error or limitation.
La reproducción de audio usa la voz integrada de tu dispositivo: sin descargas, funciona sin conexión.
