Choose a topic.
Each topic groups consecutive statements from the reference. Open one to see its statements.
Linear algebra, operators, Hilbert spaces
The mathematical grammar of quantum theory: Hermitian and unitary operators, Pauli matrices, projectors and tensor products.
Statements 1–15 ↗States and measurements
Density operators, the Born rule, and the limits on cloning, broadcasting, signalling and state discrimination.
Statements 16–30 ↗Uncertainty and quantum foundations
Uncertainty relations, Bell and Tsirelson bounds, contextuality, Gleason’s theorem and the Zeno effect.
Statements 31–40 ↗Entanglement and quantum information
Schmidt decomposition, entropy inequalities, monotones under channels and the structure of entanglement.
Statements 41–55 ↗Quantum dynamics and symmetries
Schrödinger and von Neumann evolution, conservation laws, Wigner and Stone theorems, Kramers degeneracy and open systems.
Statements 56–70 ↗Quantum computing and algorithms
Gates, Clifford circuits, error correction, teleportation, and the algorithms of Grover and Shor.
Statements 71–85 ↗Atomic physics, optics, many-body systems
Quantum statistics, condensates, superfluidity, lattices, dark states and electromagnetically induced transparency.
Statements 86–100 ↗