Ten live demonstrations — five Quantum-AI algorithms and five Quantum Error Correction protocols — executed in real time on the BEAM using Elixir and the qx_sim simulator. Every result is computed fresh on each run.
/quantum/bell
01
Bell State Entanglement
AI
Creates the maximally entangled Bell state |Φ⁺⟩ = (|00⟩+|11⟩)/√2 using a Hadamard and a CNOT gate. Measurement outcomes should be perfectly correlated.
Shots
/quantum/teleport
02
Quantum Teleportation
AI
Teleports an arbitrary qubit state from Alice to Bob using a shared Bell pair and two classical bits. Demonstrates the standard three-qubit teleportation protocol.
Shots
/quantum/grover
03
Grover's Search
AI
Grover's quantum search algorithm with oracle marking |11⟩. Amplitude amplification boosts the probability of the target state quadratically faster than classical search.
Shots
/quantum/qml
04
Quantum Classifier (QML)
AI
A simple variational quantum classifier using parameterised Rx rotations and CNOT entanglement layers. Demonstrates the building block of quantum machine learning circuits.
Shots
/quantum/shor15
05
Mini Shor's Algorithm (N=15)
AI · Skeleton
QPE initialisation layer for Shor's algorithm targeting N=15. The full modular-exponentiation circuit requires hardware beyond current simulators — this demonstrates the superposition register setup and measurement layer that feeds the classical post-processing.
Shots
/quantum/qec/bitflip
06
3-Qubit Bit-Flip Code
QEC
Classical repetition code in the computational basis. Majority-vote decoding corrects a single bit-flip error on any one of the three physical qubits.
ShotsError qubit
/quantum/qec/phaseflip
07
3-Qubit Phase-Flip Code
QEC
Repetition code in the X-basis (Hadamard-transformed). Corrects a single phase-flip (Z) error. Syndrome extraction uses Hadamard-conjugated ancilla measurements.
ShotsError qubit
/quantum/qec/shor9
08
Shor's 9-Qubit Code
QEC
The first quantum error-correcting code. Concatenates a phase-flip outer code over three bit-flip inner codes to protect against arbitrary single-qubit errors.
ShotsError qubit
/quantum/qec/steane7
09
Steane [[7,1,3]] Code
QEC · CSS
A CSS (Calderbank-Shor-Steane) code with distance 3. Simultaneously corrects bit-flip and phase-flip errors using separate stabiliser checks — simplified demonstration circuit.
ShotsError qubit
/quantum/qec/surface3
10
Distance-3 Surface Code Patch
QEC · Surface
Simplified demonstration of a distance-3 surface code patch — the leading candidate for fault-tolerant quantum computation. Syndrome extraction from a 2D stabiliser lattice with planar boundary conditions — simplified circuit.