Toque em Próximo (ou use as teclas de seta) para avançar uma ideia por vez. Uma verificação fixa de três perguntas espera no final: o próprio ponto de controle do curso, com as mesmas perguntas a cada tentativa. O ← no topo sai quando quiser; o progresso é mantido.
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.
Ler o texto completo da aula
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.
A reprodução de áudio usa a voz integrada do seu dispositivo: sem downloads, funciona offline.
