Quantum Optical Communication

Readings and Lecture Slides

Readings and Lecture Slides for each session of the course can be found below. Supplementary readings on probability (PDF) and random processes (PDF) are also available.

SES #	TOPICS	READINGS	LECTURE SLIDES
1	Technical Overview Optical eavesdropping tap - quadrature-noise squeezing Action at a distance - polarization entanglement Long-distance quantum state transmission - qubit teleportation	Session 1 Reading (PDF)	Session 1 Lecture Slides (PDF)
2	Fundamentals of Dirac-Notation Quantum Mechanics Quantum systems States as ket vectors State evolution via Schrödinger’s equation Quantum measurements - observables	Session 2 Reading (PDF)	Session 2 Lecture Slides (PDF)
3	Fundamentals of Dirac-Notation Quantum Mechanics Definitions and axioms - reprise Quantum measurements - statistics Schrödinger picture versus Heisenberg picture Heisenberg uncertainty principle	Session 3 Reading (PDF)	Session 3 Lecture Slides (PDF)
4	Quantum Harmonic Oscillator Quantization of a classical LC circuit Annihilation and creation operators Energy eigenstates - number-state kets	Session 4 Reading (PDF)	Session 4 Lecture Slides (PDF)
5	Quantum Harmonic Oscillator Number measurements versus quadrature measurements Coherent states and their measurement statistics	Session 5 Reading (PDF)	Session 5 Lecture Slides (PDF)
6	Quantum Harmonic Oscillator Quadrature-representation wave functions Minimum uncertainty-product (MUP) states Squeezed states and their measurement statistics	Session 6 Reading (PDF)	Session 6 Lecture Slides (PDF)
7	Quantum Harmonic Oscillator Quadrature-measurement statistics and phase space Characteristic functions and the Wigner distribution Positive operator-valued measurement of â	Session 7 Reading (PDF)	Session 7 Lecture Slides (PDF)
8	Quantum Harmonic Oscillator Positive operator-valued measurement (POVM) of â Reconciling POVMs and observables Single-Mode Photodetection Direct Detection - semiclassical versus quantum Homodyne Detection - semiclassical versus quantum	Session 8 Reading (PDF)	Session 8 Lecture Slides (PDF)
9	Single-Mode Photodetection Direct Detection - reprise Homodyne Detection - reprise Heterodyne Detection - semiclassical versus quantum Realizing the â measurement	Session 9 Reading (PDF)	Session 9 Lecture Slides (PDF)
10	Single-Mode Photodetection Signatures of non-classical light Squeezed-state waveguide tap	Session 10 Reading (PDF)	Session 10 Lecture Slides (PDF)
11	Single-Mode Photodetection Squeezed-state waveguide tap - reprise Single-Mode Linear Systems Attenuators Phase-Insensitive Amplifiers	Session 11 Reading (PDF)	Session 11 Lecture Slides (PDF)
12	Single-Mode and Two-Mode Linear Systems Attenuators Phase-Insensitive Amplifiers Phase-Sensitive Amplifiers Entanglement	Session 12 Reading (PDF)	Session 12 Lecture Slides (PDF)
13	Two-Mode Linear Systems Parametric amplifier statistics Entanglement Four-Mode Quantum Systems Polarization entanglement Qubit teleportation	Session 13 Reading (PDF)	Session 13 Lecture Slides (PDF)
14	Teleportation Polarization entanglement and qubit teleportation Quadrature entanglement and continuous-variable teleportation	Session 14 Reading (PDF)	Session 14 Lecture Slides (PDF)
15	Teleportation Fidelity analysis of continuous-variable teleportation	Session 15 Reading (PDF)	Session 15 Lecture Slides (PDF)
16	Quantum Cryptography One-time pad cryptography Bennett-Brassard protocol quantum key distribution Clauser-Horne-Shimony-Holt form of Bell’s inequality Ekert protocol quantum key distribution	Session 16 Reading (PDF)	Session 16 Lecture Slides (PDF)
17	Quantization of the Electromagnetic Field Maxwell’s equations Plane-wave mode expansions Multi-mode number states and coherent states	Session 17 Reading (PDF)	Session 17 Lecture Slides (PDF)
18	Continuous-Time Photodetection Semiclassical theory - Poisson shot noise Quantum theory - photon-flux operator measurement Direct-detection signatures of non-classical light	Session 18 Reading (PDF)	Session 18 Lecture Slides (PDF)
19	Continuous-Time Photodetection Noise spectral densities in direct detection Semiclassical theory of coherent detection Quantum theory of coherent detection Coherent-detection signatures of non-classical light	Session 19 Reading (PDF)	Session 19 Lecture Slides (PDF)
20	Nonlinear Optics of X(2) Interactions Maxwell’s equations with a nonlinear polarization Coupled-mode equations for parametric downconversion Phase-matching for efficient interactions Classical solutions	Session 20 Reading (PDF)	Session 20 Lecture Slides (PDF)
21	Nonlinear Optics of X(2) Interactions Coupled-mode equations for parametric downconversion Phase-matching for efficient interactions Classical and quantum solutions Gaussian-state characterization	Session 21 Reading (PDF)	Session 21 Lecture Slides (PDF)
22	Quantum Signatures from Parametric Interactions Hong-Ou-Mandel dip produced by parametric downconversion Polarization entanglement produced by parametric downconversion Photon twins from parametric amplifiers	Session 22 Reading (PDF)	Session 22 Lecture Slides (PDF)
23	More Quantum Optical Applications Binary optical communication with squeezed states Phase-sensing interferometry with squeezed states Super-dense coding with entangled states Quantum lithography with “N00N” states	Session 23 Reading (PDF)	Session 23 Lecture Slides (PDF)