Physics 580 - Quantum Mechanics - Fall 2022

 

Lecture notes

Dates

Topics

Lecture 1

8/30

Q gravity introduction (reading: Hartman's lectures part I)

Lecture 2

9/1

Classical Information (reading: Witten's QI notes)

Lecture 3

9/6

Quantum Information (states, observables, entropy. Reading: Witten QI and Preskill Ch1-2)

Lecture 4

9/8

Quantum Information (comparing two states, relative entropy, quantum channels. Reading: as above.)

Lecture 5

9/14

Quantum channels continued, applications to: quantum error correction and the second law.

Lecture 6

9/15

Quantum teleportation and state merging. Partial transpose operation and entanglement negativity. Separability. 

Lecture 7

9/20

Reflected entropy and tripartite entanglement. Markov states and squashed entanglement. Random states and typicality. 

Lecture 8

9/22

Random state continued - Haar averages, Hayden Preskill

Lecture 9

9/27

QFT - path integrals and correlation functions (reading: Hartman's lectures part II-IV)

Lecture 10

9/29

Real time correlation functions (reading: as above). CFT 2 point function. OTOCs

Lecture 11

10/4

Thermal KMS condition. Entropy in QFT - introduction

Lecture 12

10/6

Path integrals for sub regions. Replica trick.

Lecture 13

10/11

 

Lecture 14

10/13

 

TASI 1  TASI 2  TASI 3  TASI 4  supplement 

10/18-1027

Follows closely my TASI lecture notes (although TASI1 and 2 contain overlap with previous notes)