Lecture notes:

Lectures 1 and 2 - Nirmalya Kajuri

Lecture 3 - Ronak Soni

Lecture 4 - Ronak Soni

References:

First two lectures - Nirmalya Kajuri

1. Tasi Lectures on the emergence of bulk in AdS/CFT by Daniel Harlow (https://arxiv.org/abs/1802.01040)

2.Constructing local bulk observables in interacting AdS/CFT by Kabat, Lifschytz and Lowe (https://arxiv.org/abs/1102.2910)

3.Bulk locality and boundary creating operators by Nakayama and Ooguri (https://arxiv.org/abs/1507.04130)

4.Eternal black holes and superselection sectors in AdS/CFT by Marolf and Wall (https://arxiv.org/abs/1210.3590)

5. Comments on the necessity and implications of state dependence in the black hole interior by Raju and Papadodimas (https://arxiv.org/abs/1503.08825)

Last two lectures - Ronak Soni

Stuff I'll cover, at various levels of detail, along with some stuff added for completeness:

1. Quantum-Corrected Ryu-Takayanagi Formula:
   1. First-Order Correction: 1307.2892, " Quantum corrections to holographic entanglement entropy" by Faulkner Lewkowycz and Maldacena.
   2. All orders formula (included solely for completeness): 1705.08453, "Entropy, Extremality, Euclidean Variations, and the Equations of Motion " by Dong and Lewkowycz.
   3. Implications for relative entropy: 1512.06431, "Relative Entropy equals Bulk Relative Entropy" by Jafferis, Lewkowycz, Maldacena and Suh.
2. Introduction to generalised free fields and the first (and best) explanation of the code subspace, which I'll follow: 1101.416, "Emergent Spacetime and Holographic CFTs" by Sheer El-Showk and Kyriakos Papadodimas
3. QEC basics:
   1. First paper: 1411.7041, " Bulk Locality and Quantum Error Correction in AdS/CFT" by Almheiri, Dong and Harlow.
   2. An example (I won't cover this in detail): 1708.00035, " Code subspaces for LLM geometries" by Berenstein and Miller.
   3. QEC in 2d Ising CFT (I won't cover this in detail) : 1611.07528, "Towards holography via quantum source-channel codes" by Pastawski, Eisert and Wilming.
   4. The main results (and the only QEC paper you really need to read):1607.03901, "The RT Formula from QEC," by Harlow
4. Entanglement wedge reconsruction:
   1. The original mention of the entanglement wedge and the original conjecture of entanglement wedge reconstruction (included for completeness): 1408.6300, " Causality & holographic entanglement entropy" by Headrick, Hubeny, Lawrence and Rangamani.
   2. The first proof (subsumed in Harlow's 1607 paper): 1601.05416, " Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality " by Dong, Harlow and Wall.
   3. Some early results (included for completeness, and to give credit where credit is due): 1607.03605, " Explicit reconstruction of the entanglement wedge " by Jung-Wook Kim.
   4. The quantum information view: 1704.05839, " Entanglement Wedge Reconstruction via Universal Recovery Channels" by Jordan Cotler, Patrick Hayden, Grant Salton, Brian Swingle, Michael Walter
   5. The field theory view: 1704.05464, "Bulk locality from modular flow" by Faulkner and Lewkowycz

Papers it's a bad idea to read till you have a handle on the basics, for being misleading though not wrong:

1. Toy models that receive too much publicity: 1503.06237, " Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence" by Pastawski, Yoshida, Harlow Preskill.
2. More generally, any paper with tensor networks.
3. A misleading analogy: 1501.06577, " Bulk-Boundary Duality, Gauge Invariance, and Quantum Error Correction" by Mintun, Polchinski and Rosenhaus. To understand why it's misleading, read the "Are gauge constraints enough?" section in 1503.06237.
4. Some nice calculations in the context of the misleading analogy: 1602.004811 by Freivogel, Jefferson and Kabir. Also other papers by the same group.

Criminal omissions:

1. An important extension of HKLL, showcasing the importance of the code subspace: 1603.02812, " A toy model of black hole complementarity" by Banerjee, Bryan, Papdodimas and Raju.
2. Stuff on subregion-subregion duality that rejects algebraic formulations: 1712.09365, " Quantum information measures for restricted sets of observables " by Sudip Ghosh and Suvrat Raju.