Introduction to Quantum Physics and Information Processing

List of Boxes

2.1 Polarization States of Light . . . . . . . . . . . . . . . . . . . 26

3.1 Linear Vector Space . . . . . . . . . . . . . . . . . . . . . . . 34

3.2 Hilbert Space . . . . . . . . . . . . . . . . . . . . . . . . . . . 37

3.3 Diagonalizable Operators and the Spectral Theorem . . . . . 41

3.4 Basis Transformations among the

ˆ

X,

ˆ

Y and

ˆ

Z Bases . . . . 45

3.5 The Pauli Spin Matrices . . . . . . . . . . . . . . . . . . . . 50

3.6 Properties of Projection Operators . . . . . . . . . . . . . . . 51

3.7 The Uncertainty Principle . . . . . . . . . . . . . . . . . . . 54

3.8 Algebra of Tensor Product States . . . . . . . . . . . . . . . 59

4.1 Bell ...