Explore Quantum Simulations

Interactive simulations of real quantum maths, right in your browser. Each one asks you to predict first, then shows the exact odds next to your results.

Quantum Technology Foundations

3 Simulations
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Foundations

Bloch Sphere Explorer

Drag the state vector across the Bloch sphere. Every point is a valid qubit. The poles are |0⟩ and |1⟩.
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Foundations

Complex Amplitude Explorer

Drag a point across the complex plane and watch its polar form update live — the geometry behind every qubit amplitude.
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Foundations

No-Cloning Theorem

Try to build a machine that copies an unknown quantum state, and discover why it's mathematically impossible.

Quantum Evolution

3 Simulations
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Quantum Evolution

Describing Evolution

See why unitary matrices — not arbitrary functions — are the only transformations that preserve a valid quantum state.
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Quantum Evolution

Evolution Builder

Choose a Hamiltonian and steer a qubit precisely onto a target state on the Bloch sphere.
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Quantum Evolution

Unitary Evolution

Move the time slider and watch a quantum state evolve continuously under a fixed Hamiltonian.

Quantum Measurement

3 Simulations
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Quantum Measurement

Measurement Basis Explorer

Rotate the measurement axis independently of the state and see how outcome probabilities shift with your choice of basis.
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Quantum Measurement

Measurement in Circuits

Build a small circuit, add a measurement gate mid-sequence, and track how the classical register captures the outcome.
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Quantum Measurement

Partial Measurement Explorer

Measure only one qubit of a two-qubit state and watch the correlation table reveal what happens to its partner.

Multi-Qubit Systems & Entanglement

7 Simulations
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Multi-Qubit Systems

Bell State Builder

Build the four Bell states with H and CNOT, check exactly when entanglement appears, and verify with trials. Your free taste of entanglement.
Pro
Multi-Qubit Systems

Tensor Product Explorer

Combine separate qubits with the tensor product and see why each new qubit doubles the numbers you need.
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Multi-Qubit Systems

Controlled Gates Explorer

Apply CNOT and CZ to two qubits and read the truth table, state and odds. Find out what a truth table cannot show.
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Multi-Qubit Systems

Entanglement Circuit Explorer

Build a circuit gate by gate and see exactly when two qubits become entangled, and when they stop.
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Multi-Qubit Systems

Entanglement Explorer

Compare two-qubit states side by side and find the test that really separates entangled from separable.
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Multi-Qubit Systems

Partial Trace Explorer

Trace out one qubit of a joint density matrix and see what the other qubit looks like on its own.
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Multi-Qubit Systems

Schmidt Explorer

Decompose a two-qubit state into its Schmidt basis and coefficients, the clearest way to measure entanglement.

Quantum Information

4 Simulations
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Quantum Information

Measuring Entanglement Explorer

Measure how entangled a two-qubit state is, with concurrence and entropy meters on a live slider.
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Quantum Information

Quantum No-Go Explorer

Try to copy and to delete unknown quantum states, and see why linearity forbids both.
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Quantum Information

Entanglement Entropy Explorer

See one entangled pair two ways, as the whole and as one qubit alone, and how entropy links them.
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Quantum Information

Monogamy & Quantum Security Explorer

Let an eavesdropper touch one half of a Bell pair and see why she cannot learn anything without leaving errors.

Open Quantum Systems

8 Simulations
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Open Quantum Systems

Density Matrix Explorer

Build density matrices for pure and mixed states and see why they describe states no ket can.
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Open Quantum Systems

Mixed State Explorer

Move inside the Bloch sphere and see what a mixed state looks like, and how it differs from a superposition.
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Open Quantum Systems

Visualizing Mixed States

One density matrix, six views at once, and why a mixed state's history can never be read back from it.
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Open Quantum Systems

Purity & Entropy Explorer

Track purity and entropy side by side as one noise slider moves a qubit from pure to fully mixed.
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Open Quantum Systems

Decoherence Explorer

Let a qubit interact with its environment and watch its coherence fade, with no measurement at all.
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Open Quantum Systems

T₁ & T₂ Explorer

Watch energy relax (T₁) and coherence fade (T₂), and discover the bound that links them: T₂ ≤ 2·T₁.
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Open Quantum Systems

Noise Channel Explorer

Push a qubit through bit-flip, phase-flip, depolarizing and amplitude-damping noise, and learn each one's signature.
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Open Quantum Systems

Quantum Information Resource Explorer

A capstone dashboard: build a two-qubit circuit with gates and noise, and watch every measure update together.

Quantum Mechanics Through Experiments

2 Simulations
Coming soon
Quantum Mechanics · Wave–Particle Duality

Mach-Zehnder Interferometer

Split a photon across two paths with a beam splitter, then recombine them, and see interference decide which detector fires.
Coming soon
Quantum Mechanics

Stern-Gerlach Experiment

Send silver atoms through an uneven magnetic field and see them land in two separate spots: one of the first experiments to show that spin comes in discrete values.

Quantum Computing

1 Tool
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Quantum Computing

Circuit Builder

Build circuits from a full gate palette, run shots, compare them with the exact odds, and export your circuit to Qiskit.