**Quantum Optics**

**Course home page**

*Course information *

Instructor (Prof. Alexander Lvovsky)

*Study plan and homework*

Week 1

*Material
covered*: Sections
1.6, 2.1 and 2.2 from the book.

*Homework
for the next week*: Exercise
1.21 on p. 23 as well as Problems 2.4 and 2.8 on pages 90-91. Also, you may
wish to review the remainder of Chapter 1 and Appendix C.

Week 2

*Material
covered:* Sections 2.3 and 2.6.

*Homework
for the next week:* Please study Sec. 2.3.4 independently and solve
end-of-chapter problems 2.11, 2.15, 2.16 as well as Ex. 2.71 on page 89. Also,
please review Sec. 5.1 as we will be starting density matrices next week.

Week 3

*Material
covered:* Sections 2.4-2.5,
5.1-5.3.

*Homework
for the next week:* End-of-chapter problems 5.2, 5.4, 5.6. Set up an
account on https://quantum-computing.ibm.com/
and solve Problem 10 from here.
Next time we will discuss the quantization of the electromagnetic field, so
please review Sec. 3.8.1 (harmonic oscillator basics).

Week 4

*Material covered:* Sec.
3.8 from the book and Sec. 4.1 from the __notes__

*Homework
for the next week:*

·
Ex. 3.67 (p.137), 3.69 (p.139), 3.75 (p.142) and
Problems 3.15, 3.16, 3.17 (p. 165) from the book.

Week 5

*Material
covered:* remainder of Chapter 3 from the book, as well as
Secs. 4.4 and 4.6 from the notes

*Homework
for the next week:*

- Problem
6.1 from here.
- Problems
3.18, 3.20 and 3.22 from the book;
- Review
Exercises 3.115-3.117 from the book;
- One
of the modes of the two-mode squeezed vacuum state with the squeezing
parameter
*r*is lost and the state in the remaining mode is analyzed. - Find
the Wigner function of that state.
- Find
its density matrix in the position basis.
- Find
its photon statistics using the photon statistics of the two-mode
squeezed vacuum (can be found in the book).
- Check
that the state is thermal [Eq. (4.52) in the notes] and find its
temperature parameter b in terms of r.

Week 6

Material covered: Sec. 4.8 from the notes, as well
as 4.5 and 5.4 from the book

Homework for the next week:

- Problem
6.3 from here.
- Problem
4.49 from the notes;
- Problems
4.13 and 4.15 from the book;
- Study
Sections 4.7.1 and 4.7.2 from the book.

Week 7

Material covered: Sec. 1.4, 1.5, 6.2.1, 6.2.3 from the
notes.

Homework for the next week: Problems 1.17, 1.18, 6.18
from the notes.

Week 8

TEST

*Tests *

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