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
Bloch Sphere Explorer
Drag the state vector across the Bloch sphere. Every point is a valid qubit. The poles are |0⟩ and |1⟩.
Foundations
Complex Amplitude Explorer
Drag a point across the complex plane and watch its polar form update live — the geometry behind every qubit amplitude.
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 SimulationsQuantum Evolution
Describing Evolution
See why unitary matrices — not arbitrary functions — are the only transformations that preserve a valid quantum state.
Quantum Evolution
Evolution Builder
Choose a Hamiltonian and steer a qubit precisely onto a target state on the Bloch sphere.
Quantum Evolution
Unitary Evolution
Move the time slider and watch a quantum state evolve continuously under a fixed Hamiltonian.
Quantum Measurement
3 SimulationsQuantum Measurement
Measurement Basis Explorer
Rotate the measurement axis independently of the state and see how outcome probabilities shift with your choice of basis.
Quantum Measurement
Measurement in Circuits
Build a small circuit, add a measurement gate mid-sequence, and track how the classical register captures the outcome.
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
6 SimulationsMulti-Qubit Systems
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
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
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
Partial Trace Explorer
Trace out one qubit of a joint density matrix and watch the reduced state of its partner emerge.
Multi-Qubit Systems
Schmidt Explorer
Decompose a two-qubit state into its Schmidt basis and coefficients — the cleanest lens for measuring entanglement.
Multi-Qubit Systems
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
Decoherence Explorer
Let a qubit interact with its environment and watch coherence bleed out of the Bloch vector in real time.
Open Quantum Systems
Density Matrix Explorer
Build a single-qubit density matrix from a state vector and read off purity and expectation values directly.
Open Quantum Systems
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
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
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
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
Noise Channel Explorer
Push a qubit's density matrix through standard noise channels and watch purity and Kraus operators respond.
Open Quantum Systems
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
Quantum Information Resource Explorer
A capstone dashboard combining eigenvalue solvers, multi-qubit gates, and noise channels into one synthesis view.
Open Quantum Systems
Quantum No-Go Explorer
Test the limits quantum mechanics enforces — what tensor products, CNOTs, and comparisons will and won't allow.
Open Quantum Systems
T₁ & T₂ Explorer
Watch population relax and coherence dephase on independent timescales — the physical origin of T₁ and T₂.
Open Quantum Systems
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
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.