Qubit State Simulator
Simula stati quantistici fino a 4 qubit, applica gate logici e visualizza la Bloch sphere. Tool educativo client-side: nessun dato trasmesso.
Configurazione stato
Bloch Sphere (proiezione XZ)
- θ (polar)
- 0 rad
- φ (azimuthal)
- 0 rad
- x component
- 0
- z component
- 1
Basis states - sistema 1 qubit
Quantum Computing - risorse per studenti IT
Questo tool supporta studenti dei corsi magistrali in Quantum Engineering e Information Technology di:
- Politecnico di Torino - primo percorso italiano in Quantum Engineering, con laboratori IBM Quantum
- Quantum Circuit Visualizer - visualizza circuiti multi-gate con notazione standard
Approfondisci la teoria con la serie UniAppunti / Quantum Computing.
Come utilizzare Qubit State Simulator
Choose the number of qubits
Select from 1 to 4 qubits with dedicated buttons in the configuration panel.
Configure Base State
Set the basis state |ψ⟩ = α|0⟩ + β|1⟩ with phase and amplitude sliders or load a predefined example (|+⟩, |−⟩, |i⟩, Bell).
Apply a gate
Select a gate (H, X, Y, Z, S, T) and the target qubit, then click "Apply Gate".
Read the result
Check the probabilities of basis states and position on the Bloch sphere for a single qubit.
Suggerimenti
- Start with predefined examples (|+⟩, |−⟩, |i⟩, Bell) to quickly understand how to read amplitudes and probabilities.
- Apply multiple gates in sequence on the same state to observe how overlap evolves.
- Use "Reset |0⟩" to start over without reloading the page.
Domande frequenti
What does the Bloch sphere shown in the tool represent?
It's a 2D projection (XZ plane) of the Bloch sphere, visualizing geometrically the state of a single qubit through polar angles theta and phi derived from alpha and beta amplitudes.
Why is the Bloch sphere not visible with more than 1 qubit?
The Bloch sphere representation is defined only for a single qubit. With multi-qubit systems, the tool shows instead the list of basis states with their respective probabilities.
Does the simulator handle real entanglement between qubits?
No, by default it constructs a product state without entanglement by duplicating the same basis qubit on N qubits. The only exception is the pre-loaded Bell |Φ+⟩ example, which is actually entangled.
What's the difference between gates S and T?
Both are phase gates: S applies a π/2 phase to |1⟩, while T applies a π/4 phase. T is therefore a smaller phase rotation than S.
Do you need additional settings for simulations with noise models or density matrices?
Yes, this tool is designed for educational use with pure states. For advanced simulations with noise and density matrices, dedicated libraries like Qiskit or Cirq are required.