A AquinTutor An institution of EduRank·AI
Sign in Apply
AQUINTUTOR / DASHBOARD / VIRTUAL LAB · QT-407
QUANTUM LAB · QT-407

Bloch playground

Drag the sliders to manipulate |ψ⟩. Save state, fork a copy, or hand it to Aquin for a walkthrough. The state vector updates in real time and any history step can be re-run.

Bloch sphere · |ψ⟩ interactive
X · |+⟩ Z · |0⟩ |1⟩ |ψ⟩

Parameters

θ · polar 60°
φ · azimuth 45°

State vector

|ψ⟩ = α|0⟩ + β|1⟩
α = 0.500
β = 0.612 + 0.612i
P(|0⟩) = 0.250 · P(|1⟩) = 0.750

Apply gate

History

  1. 1. |0⟩ initial ↶
  2. 2. H · Hadamard ↶
  3. 3. Rx(π/3) ↶
  4. 4. Z ↶

How the lab works

Manipulate, observe,
save, hand off.

01

Set the state

Drag the polar and azimuthal sliders to put |ψ⟩ anywhere on the Bloch sphere. The state-vector panel updates in real time with α, β components and measurement probabilities.

02

Apply a gate

Click any gate (Pauli X/Y/Z, Hadamard, S, T, parametric Rx/Ry) to transform the state. The trajectory animates and the history log records every step.

03

Read the math

Every panel shows the underlying linear algebra - amplitudes, complex components, measurement probabilities. No hidden state, no black box.

04

Save or ask Aquin

Snapshot the state to your portfolio, fork the lab to experiment without losing the original, or open it inside the Aquin tutor for a step-by-step walkthrough.

More labs in this course

Quantum Foundations · QT-407

All courses →
QT-407 L2

Entanglement explorer

Two-qubit Bell states; concurrence and entanglement entropy.

OPEN LAB →

 QT-407 L3

Grover's search · 4 qubit

Amplitude amplification over a 16-element search space.

OPEN LAB →

 QT-407 L4

QFT visualizer

The Quantum Fourier Transform unrolled on the Bloch sphere.

OPEN LAB →

 QT-407 L5

Shor's algorithm walk

Period finding via QFT, with classical post-processing.

OPEN LAB →

Across the institution

Other working labs
in catalogue today.

RB-211 L1

Robotic arm kinematics

Inverse kinematics for a 6-DOF arm; jog the end-effector.

OPEN LAB →

 AI-512 L4

Transformer attention map

Visualise QKV attention heads across BERT layers.

OPEN LAB →

 PH-204 L2

Materials phase diagram

Equation of state, supercritical fluids, triple point.

OPEN LAB →

 MD-301 L1

Surgical simulator

Laparoscopic appendectomy on a virtual cadaver.

OPEN LAB →

Infrastructure

Every lab runs in the browser.

No GPU on your side, no software install, no licence cost. The Bloch sphere, the kinematic solver, the transformer attention map - all run client-side on plain JavaScript, with deterministic math, on whatever device you have.

Browser-only

No install

WebGL where useful; vanilla SVG everywhere else.

Determinism

Bit-exact

Same input, same output. Snapshot-comparable.

Latency

<16ms

Every interaction renders in one frame.

Privacy

Client-side

State never leaves your tab unless you save it.