Mini-school on Quantum Information, Symmetry, and Topology

6 August ~ 8 August 2018
Pohang, Korea


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■ Lecture/Timetable

    Lecturer: Isaac Kim (Stanford University)

    Series 1: Entanglement and RG flow

    In this series, I will review constraints on RG flow that follows from simple application of strong subadditivity of entropy.

    Lecture 1: Strong Subadditivity of Entropy (Notes)

    Mon 6 Aug 10:30 ~ 12:00

    Reference : arXiv:1803.04993

    • a. Why strong subadditivity?

    • b. Derivation

    • c. Quantum Markov Chain

    Lecture 2: Constraints on RG flow (2D) (Notes)

    Mon 6 Aug 15:00 ~ 16:30

    Reference : cond-mat/0610375

    • a. c-theorem from entanglement entropy

    • b. Comparison with Zamolodchikov's c-theorem

    Lecture 3: Constraints on RG flow (D>2) (Notes)

    Tue 7 Aug 10:30 ~ 12:00

    Reference : arXiv:1202.5650, 1704.01870

    • a. 4D

    • b. 3D (If time permits)



    Series 2: Fault-tolerant quantum computation and (generalized) symmetry

    In this series, I will review how (generalized) symmetry comes into play in the theory of fault-tolerant quantum computation.

    Lecture 4: Topological order

    Tue 7 Aug 15:00 ~ 16:30

    Reference : arXiv:1612.04795

    • a. General introduction to topological order

    • b. Toric code

    • c. Symmetries of toric code

    Lecture 5: Limits on symmetry (Bravyi-Koenig argument)

    Wed 8 Aug 10:30 ~ 12:00

    Reference : arXiv:1206.1609, 1409.3898, 1408.1720

    • a. 2D stabilizer models

    • b. Anyons

    • c. On more exotic models

    Lecture 6: Fault-tolerance and 1-form symmetry

    Wed 8 Aug 15:00 ~ 16:30

    Reference : quant-ph/0407255, arXiv:1611.05450, 1805.01474

    • a. 3D cluster state model

    • b. Boundary Theory

    • c. 1-form symmetry