QUANTUM INTELLIGENCE LAB

Make quantum states visible.

Explore qubits, circuits, measurement, and algorithms through interactive experiments.

STATE OBSERVATIONq0 / PURE

X 0.000

Y 0.000

Z 1.000

1|0⟩ACTIVE VECTOR

OBSERVE / MANIPULATE / UNDERSTAND / EXPERIMENT

QUANTUM LAB01 / LIVE WORKSPACE

Make the invisible state inspectable.

BLOCH SPHERESTEP 00 / 00

PURE / REDUCED 1.00

ACTIVE VECTORq0

x 0.000y 0.000z 1.000

Drag to inspect the state orientation.

θ0.0°

φ0.0°

ACTIVE NOTATION1|0⟩

NORMALIZATION1.000

GATES00

VISUAL CIRCUIT0 MOMENTS

Qubits → operations → moments → measurement

TIME →0102030405

q0ACTIVE

Select a gate on the left to create the first moment.

EXECUTION TIMELINE1 SNAPSHOTS

MEASUREMENT LABCOMPUTATIONAL BASIS

State ≠ outcome.

Run independent ideal measurements and compare the observed frequencies with the amplitudes implied by the active state.

|0⟩

100.0%

|1⟩

0.0%

LEARNING MODEEXPLORE

Short experiments. Real state transitions.

PHASE 03–04 / QUANTUM INTELLIGENCE TUTOR

Interrogate the
circuit you built.

LIVE CONTEXTFoundation circuitsnapshot 0 / 0

WHAT WOULD YOU LIKE TO UNDERSTAND?

CONTEXT BOUND

I am looking at the live experiment—not a generic quantum prompt.

Ask about the current state, active gate, measurement, circuit, or the computational idea behind it.

PHASE 02–04 / QUANTUM ALGORITHM OBSERVATORY

Watch computation
become evidence.

Nine intelligence experiments reveal how circuits change quantum state, measurement, resources, noise, and the computational question being asked.

INTELLIGENCE EXPERIMENT / ORACLE PROPERTY TEST

Deutsch–Jozsa

Interference distinguishes constant from balanced promises.

EXPERIMENT PARAMETERS

Changing a parameter regenerates the circuit, state evolution, and measurement from the same experiment definition.

Oracle

CIRCUIT / 4 OPERATIONS2 QUBITS

READY / SELECT RUN TO ADVANCE

STATE EVOLUTION / LIVE00 / 04

Calculated state probability; spectral treatment encodes mode-specific evidence only.

EXECUTION / SYNCHRONIZED SNAPSHOTS1 / 5

STATE INSPECTOR / STEP 00

PREPARE

The input register starts at |0⟩ and the work qubit starts at |1⟩.

1|00⟩

STATEAMPLITUDEPROBABILITY

|00⟩1100.0%

|01⟩00.0%

|10⟩00.0%

|11⟩00.0%

MEASUREMENT / IDEAL SIMULATION

Constant function detected

|10⟩0%

|11⟩0%

|00⟩50%

|01⟩50%

PHASE 04 / ADVANCED QUANTUM INTELLIGENCE

Conditions change
the outcome.

EXECUTION MODE SIMULATORFUTURE HARDWARE / OFFLINE

NOISE & DECOHERENCE LAB

Ideal ≠ noisy.

Every enabled channel changes the underlying sampled simulation—never a decorative effect.

CHANNEL STRENGTH8.0%

MEASUREMENT ERROR2.0%

RESOURCE AWARENESS

QUBITS2

DEPTH4

GATES4

SHOTS100

STATE DIM.4

TRAJECTORIES1

STATISTICAL MEASUREMENT

Shots resolve a distribution.

Single measurements vary. More shots make the seeded sampled frequencies more informative, while remaining finite samples.

|10⟩0|11⟩0|00⟩53|01⟩47

SIMULATION TRACE / AUTHORITATIVE COMPARISON

State → noise → measurement.

STATE FIDELITY100.0%TV distance 0.0%

IDEAL STATE0.707|00⟩ + -0.707|01⟩100.0% Z expectation

NOISE LAYER OFF0.707|00⟩ + -0.707|01⟩Ideal state is preserved

MEASUREMENT EFFECT0.0% readout errorExpectation deviation 0.0%

|10⟩

0.0% / 0.0%

|11⟩

0.0% / 0.0%

|00⟩

50.0% / 50.0%

|01⟩

50.0% / 50.0%

ideal probability noisy probabilityEach bar uses the deterministic simulation result; count labels above use actual seeded shot samples.

EXPERIMENT REPRODUCIBILITY / LOCAL ONLYDeutsch–Jozsa · seed 4127 · 100 shots

PHASE 03–04 / QUANTUM INTELLIGENCE TUTOR

Reason with the
state you have.

LIVE CONTEXTDeutsch–Jozsasnapshot 0 / 4

WHAT WOULD YOU LIKE TO UNDERSTAND?

CONTEXT BOUND

I am looking at the live experiment—not a generic quantum prompt.

Ask about the current state, active gate, measurement, circuit, or the computational idea behind it.

WHY IT WORKS

q0 resolves to 0

Encode the oracle response as phase and use interference to reveal the promised property with one ideal oracle query.

OraclePhase kickbackMeasurement

CLASSICAL VS QUANTUM LENS

Classical pattern

Inspect function values until the promise can be resolved; the deterministic worst case needs more than one evaluation.

Quantum pattern

Encode the oracle response as phase and use interference to reveal the promised property with one ideal oracle query.

One ideal oracle query under the promise; a conceptual separation, not a general speedup claim.

WHY IT MATTERS / CONCEPTUAL CONNECTION

Promised property testing

Relative phase becomes a measurable interference pattern.

Potential application areas

Conceptual query complexity and algorithm-design intuition.

Scientific boundary

The promise is essential; it does not apply unchanged to arbitrary black-box functions.

CONCEPTUAL PROGRESSION

Foundations Oracles Interference Amplification Entanglement Phase

COMPARE DEUTSCH–JOZSA WITH

2 q / Interference distinguishes constant from balanced promises. ↔ 2 q / Oracle marking and diffusion rotate amplitude toward a target.

ADVANCED CONCEPT EXPLORER

Build from
a concept.

Recommendations are derived from the shared concept graph, then route into the same inspectable experiment definitions.

CONCEPT / Amplitude amplification

oracle → interference → Amplitude amplification

Grover’s Search

CONCEPT / Entanglement

hadamard → Entanglement

Quantum Teleportation

CONCEPT / Relative phase

superposition → Relative phase

Grover’s Search → Quantum Fourier Transform → Quantum Phase Estimation → Shor / Period finding

CONCEPT / Hybrid quantum-classical computing

expectation → Hybrid quantum-classical computing

VQE / Energy loop → QAOA / Max-Cut