Interactive Learning
Explore Quantum Simulations
Physically accurate, browser-based simulations — designed to build intuition you can't get from equations alone.
Quantum Technology Foundations
3 SimulationsFoundations · F1
Bloch Sphere Explorer
Drag the state vector across the Bloch sphere. Every point is a valid qubit. The poles are |0⟩ and |1⟩.
Foundations · F1
Complex Amplitude Explorer
Drag a point across the complex plane and watch its polar form update live — the geometry behind every qubit amplitude.
Foundations · F1
No-Cloning Theorem
Try to build a machine that copies an unknown quantum state, and discover why it's mathematically impossible.
Quantum Evolution
3 SimulationsQuantum Evolution · F2
Describing Evolution
See why unitary matrices — not arbitrary functions — are the only transformations that preserve a valid quantum state.
Quantum Evolution · F2
Evolution Builder
Choose a Hamiltonian and steer a qubit precisely onto a target state on the Bloch sphere.
Quantum Evolution · F2
Unitary Evolution
Move the time slider and watch a quantum state evolve continuously under a fixed Hamiltonian.
Quantum Measurement
3 SimulationsQuantum Measurement · F3
Measurement Basis Explorer
Rotate the measurement axis independently of the state and see how outcome probabilities shift with your choice of basis.
Quantum Measurement · F3
Measurement in Circuits
Build a small circuit, add a measurement gate mid-sequence, and track how the classical register captures the outcome.
Quantum Measurement · F3
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
6 SimulationsMulti-Qubit Systems · F4
Controlled Gates Explorer
Apply CNOT and other controlled gates to two qubits and read the truth table and state vector update live.
Multi-Qubit Systems · F4
Entanglement Circuit Explorer
Build a circuit gate by gate and watch an entanglement-status readout track exactly when two qubits become correlated.
Multi-Qubit Systems · F4
Entanglement Explorer
Compare two two-qubit states side by side and see what separates an entangled state from a merely correlated one.
Multi-Qubit Systems · F4
Partial Trace Explorer
Trace out one qubit of a joint density matrix and watch the reduced state of its partner emerge.
Multi-Qubit Systems · F4
Schmidt Explorer
Decompose a two-qubit state into its Schmidt basis and coefficients — the cleanest lens for measuring entanglement.
Multi-Qubit Systems · F4
Tensor Product Explorer
Combine two separate qubits with the tensor product and see how their individual amplitudes build the joint state.
Open Quantum Systems
12 SimulationsOpen Quantum Systems · F5
Decoherence Explorer
Let a qubit interact with its environment and watch coherence bleed out of the Bloch vector in real time.
Open Quantum Systems · F5
Density Matrix Explorer
Build a single-qubit density matrix from a state vector and read off purity and expectation values directly.
Open Quantum Systems · F5
Entanglement Entropy Explorer
View one entangled system through two lenses — the joint state and the reduced state — and see entropy connect them.
Open Quantum Systems · F5
Measuring Entanglement Explorer
Go beyond yes/no — quantify exactly how entangled a two-qubit state is, not just whether it's entangled at all.
Open Quantum Systems · F5
Mixed State Explorer
Move inside the Bloch sphere, not just on its surface, to see what a mixed state actually looks like.
Open Quantum Systems · F5
Monogamy & Quantum Security Explorer
Let an eavesdropper couple to one half of a Bell pair and watch monogamy of entanglement expose the intrusion.
Open Quantum Systems · F5
Noise Channel Explorer
Push a qubit's density matrix through standard noise channels and watch purity and Kraus operators respond.
Open Quantum Systems · F5
Purity & Entropy Explorer
Track purity and von Neumann entropy side by side as a single state moves between pure and fully mixed.
Open Quantum Systems · F5
Quantum Information Resource Explorer
A capstone dashboard combining eigenvalue solvers, multi-qubit gates, and noise channels into one synthesis view.
Open Quantum Systems · F5
Quantum No-Go Explorer
Test the limits quantum mechanics enforces — what tensor products, CNOTs, and comparisons will and won't allow.
Open Quantum Systems · F5
T₁ & T₂ Explorer
Watch population relax and coherence dephase on independent timescales — the physical origin of T₁ and T₂.
Open Quantum Systems · F5
Visualizing Mixed States
A capstone view of one density matrix through six representations at once — state prep, Bloch interior, eigenvalues, and more.
Quantum Mechanics Through Experiments
2 SimulationsQuantum Mechanics · Wave–Particle Duality
Mach-Zehnder Interferometer
Split a photon across two paths with a beam splitter, then recombine them — watch interference control which detector fires.
Quantum Mechanics · E1
Stern-Gerlach Experiment
Beam silver atoms through a magnetic field and observe discrete spin deflections — the birth of quantum measurement.
Quantum Computing
2 SimulationsQuantum Computing
Gate Simulator
Apply single and multi-qubit gates and watch the Bloch sphere evolve in real time.
Quantum Computing
Entanglement Simulator
Create Bell states, measure one qubit, and observe the instant collapse of its entangled partner.