Chapter 1: Qubit, Measurement, quantum circuit, bell state, Deutsch’s algorithm, Deutscha-Josza algorithm, Stern-Gerlach Experiment
Chapter 2: Basis, linearly independent basis, Pauli Matrix, Inner Product, eigenvalue, Adjoint Operator, Tensor product, Operator, Commutator, anti-commutator, Polar decomposition, singular value decomposition, Measurement, projective quantum measurement, POVM, Global Phase, Superdense coding, Quantum state ensemble, Density Operator, Gram–Schmidt, EPR, Bell inequalities
Chapter 4: Measurement, Universal Quantum Gates, Two-level Quantum gates, Two-level Unitary gates are universal, CNOT gate, Approximating gates, Quantum computational complexity, Simulating quantum systems, Quantum simulation algorithm, Gibbs state, Boltzmann’s constant.