Quantum Lessons
for the Qulture
From qubits to bitstrings
Useful bitstrings are made more likely — not typed in.
Vectors and quantum states
Order matters. Amplitudes — not raw probabilities — carry the quantum information.
Matrices and quantum gates
Gates are unitary matrices. Sequence is the program.
Complex numbers, magnitude, and phase
Magnitude → probability. Phase → interference.
Probability, measurement, and shots
Always report shot count next to a quantum number.
Statistics, noise, and quantum results
Results are statistical. Benchmarking is statistics plus an honest noise label.
Tensor products and multiple qubits
Entanglement is a state you cannot factor into separate qubits.
Eigenvalues, eigenvectors, and observables
Observables ask questions. Eigenvalues are the only allowed answers.
Trigonometry and the Bloch sphere
Radians, sine/cosine, and rotations are the single-qubit control language.
Calculus and variational algorithms
Calculus steers. The optimizer drives. The circuit does the lift.
Graph theory, Boolean logic, and quantum optimization
Before the circuit, build the map. This is the classical-baseline week in graph form.
Extra
sheets
IQM cheat sheet for circuit magicians
Gates, entanglement, QFT, Grover. IQM Quantum Computers · CC-BY-SA.
PQC vs QKD — which shield fits the problem?
Default PQC for software and certificates. QKD only on dedicated links.
Max Cut for job readiness
Talent vs opportunity graph. Companion to lesson 10.
The math behind Max Cut and QAOA
Hamiltonian, mixer, hybrid loop. Companion to lesson 10.