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Original
1902
Earlier work this paper cites.
Geoffrey Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” (2019), arXiv:1905.08255 [hep-th]
Original
1905
Earlier work this paper cites.
Adam Bouland, Bill Fefferman, and Umesh Vazirani, “Computational pseudorandomness, the wormhole growth paradox, and constraints on the AdS/CFT duality,” (2019), arXiv:1910.14646 [quant-ph]
Original
1910
Earlier work this paper cites.
Geoff Penington, Stephen H. Shenker, Douglas Stanford, and Zhenbin Yang, “Replica wormholes and the black hole interior,” (2019), arXiv:1911.11977 [hep-th]
Original
1911
Earlier work this paper cites.
Adam R. Brown, Hrant Gharibyan, Geoff Penington, and Leonard Susskind, “The Python’s Lunch: geometric obstructions to decoding Hawking radiation,” (2019), arXiv:1912.00228 [hep-th]
Original
1912
Earlier work this paper cites.
Leonard Susskind, “Horizons Protect Church-Turing,” (2020), arXiv:2003.01807 [hep-th]
Original
2003
Earlier work this paper cites.
Juan Maldacena, Douglas Stanford, and Zhenbin Yang, “Diving into traversable wormholes,” Fortsch. Phys. 65
Original
2003
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Alex Hamilton, Daniel N. Kabat, Gilad Lifschytz, and David A. Lowe, “Holographic representation of local bulk operators,” Phys. Rev. D74
2006
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András Gilyén, Seth Lloyd, Iman Marvian, Yihui Quek, and Mark M. Wilde, “Quantum algorithm for Petz recovery channels and pretty good measurements,” (6 2020), arXiv:2006.16924 [quant-ph]
Original
2006
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Similar

Thomas Hartman and Juan Maldacena, “Time Evolution of Entanglement Entropy from Black Hole Interiors,” JHEP 05
Original
2013
Cited alongside, same era.
Daniel Harlow and Patrick Hayden, “Quantum Computation vs. Firewalls,” JHEP 06
Original
2013
Cited alongside, same era.
Ahmed Almheiri, Donald Marolf, Joseph Polchinski, Douglas Stanford, and James Sully, “An Apologia for Firewalls,” JHEP 09
Original
2013
Cited alongside, same era.
Kyriakos Papadodimas and Suvrat Raju, “State-Dependent Bulk-Boundary Maps and Black Hole Complementarity,” Phys. Rev. D89
Original
2014
Cited alongside, same era.
Douglas Stanford and Leonard Susskind, “Complexity and Shock Wave Geometries,” Phys. Rev. D90

Then

Daniel L. Jafferis, Aitor Lewkowycz, Juan Maldacena, and S. Josephine Suh, “Relative entropy equals bulk relative entropy,” JHEP 06
Original
2016
Later among the works it cites.
Xi Dong, Daniel Harlow, and Aron C. Wall, “Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality,” Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
Leonard Susskind, “Entanglement is not enough,” Fortsch. Phys. 64
Original
2016
Later among the works it cites.
Thomas Faulkner and Aitor Lewkowycz, “Bulk locality from modular flow,” JHEP 07
Original
2017
Later among the works it cites.
Adam R. Brown, Leonard Susskind, and Ying Zhao, “Quantum Complexity and Negative Curvature,” Phys. Rev. D95

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2020

Petz map and Python's lunch

Zhao, Ying

Understand

We look at the interior operator reconstruction from the point of view of Petz map and study its complexity.

We show that Petz maps can be written as precursors under the condition of perfect recovery.
When we have the entire boundary system its complexity is related to the volume / action of the wormhole from the bulk operator to the boundary.
When we only have access to part of the system, Python's lunch appears and its restricted complexity depends exponentially on the size of the subsystem one loses access to.