Entanglement, Quantum Information, & Quantum Computing

In view of this year's Nobel Prize in Physics awarded to Aspect, Clauser, and Zeilinger:

Alain Aspect, John Clauser and Anton Zeilinger have each conducted groundbreaking experiments using entangled quantum states, where two particles behave like a single unit even when they are separated. Their results have cleared the way for new technology based upon quantum information.

And the Breakthrough Prize in Fundamental Physics awarded to Bennet, Brassard, Deutsch, & Shor:

For foundational work in the field of quantum information

The theme of this semester's Workshop Seminar will revolve around these topics with the following lecture plan:

1. Review of Quantum Mechanics
   • e.g., Weinberg's Lectures on QM chapter 3,
   • or Shankar chapter 4
   • or Sakurai §§1.2-1.7
   • NOTE: it is important to make sure that all the technology needed for the next lecture are covered.
2. EPR paradox and the Bell inequalities
   • e.g. Lectures on QM by Weinberg Ch. 12
   • The original papers by EPR, Bell, and 1982 Aspect et al. can be found here
3. Precision tests of QM and Bell's inequalities
   • Precision Tests of Quantum Mechanics (Weinberg)
   • Bell's inequality test: more ideal than ever (Aspect)
   • You can find the rest :-)
   • Maybe a quick word here about loopholes? See for example: Bell's Theorem Does Not Eliminate Fully Causal Hidden Variables (Brans)
4. Collider and cosmological tests of Bell's inequality -- there are many references
5. Lectures 5 to 10/11: probably follow one of:
   • Quantum Computing: Lecture Notes (de Wolf)
   • Joe Lykken's TASI lectures Quantum Information for Particle Theorists
   • Peter Shor's MIT OpenCourse on Quantum Computation
   • Preskill's notes on Quantum Information and Computation

• There are a couple of cool papers on quantum simulations in QFT:
  • Quantum Algorithms for Quantum Field Theories
  • Quantum Computation of Scattering in Scalar Quantum Field Theories
• Talk about connection to GR and black hole information paradox:
  • ER=EPR (Maldacena and Susskind) Cool horizons for entangled black holes
  • Follow Harlow's Jerusalem Lectures on Black Holes and Quantum Information