References

HP

P. Hayden and J. Preskill, Black holes as mirrors: quantum information in random subsystems, Journal of High Energy Physics 2007(09), 120 (2007). arXiv:0708.4025, version 2. https://arxiv.org/abs/0708.4025.

YK

B. Yoshida and A. Kitaev, Efficient decoding for the Hayden–Preskill protocol, arXiv:1710.03363, version 2 (2017). Sections 4–5: probabilistic and deterministic decoder constructions. https://arxiv.org/abs/1710.03363.

YoshidaClifford

B. Yoshida, Recovery algorithms for Clifford Hayden–Preskill problem, arXiv:2106.15628, version 3 (2022). https://arxiv.org/abs/2106.15628.

Bisio

A. Bisio, G. M. D'Ariano, P. Perinotti, and M. Sedlák, Memory cost of quantum protocols, Physical Review A 85, 032333 (2012). arXiv:1112.3853. https://arxiv.org/abs/1112.3853.

Decoupling

F. Dupuis, M. Berta, J. Wullschleger, and R. Renner, One-shot decoupling, Communications in Mathematical Physics 328, 251–284 (2014). arXiv:1012.6044, version 3. https://arxiv.org/abs/1012.6044.

KSW

D. Kretschmann, D. Schlingemann, and R. F. Werner, The Information–Disturbance Tradeoff and the Continuity of Stinespring's Representation, IEEE Transactions on Information Theory 54, 1708–1717 (2008). arXiv:quant-ph/0605009. https://arxiv.org/abs/quant-ph/0605009.

HH

D. Harlow and P. Hayden, Quantum Computation vs.\ Firewalls, Journal of High Energy Physics 2013(06), 085 (2013). arXiv:1301.4504, version 4. https://arxiv.org/abs/1301.4504.

Replica

A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, Replica Wormholes and the Entropy of Hawking Radiation, Journal of High Energy Physics 2020(05), 013 (2020). arXiv:1911.12333, version 2. https://arxiv.org/abs/1911.12333.

Watrous

J. Watrous, The Theory of Quantum Information, Cambridge University Press, 2018. Author's text: https://cs.uwaterloo.ca/ watrous/TQI/.

En02A

N. Cheung, En02-A: Finite-Resource Geometry for the Enter Calculus: Cut Monotones, Certificate Costs, and Conditional Born Rigidity. Companion manuscript, 02-A-v1.tex, 7 October 2026. Cited for its resource conventions, specified-Born distinction, conditional rigidity, and one-shot/adaptive separation.

En02B

N. Cheung, En02-B: Resource-Limited Holographic Reconstruction: Boundary Access, Decoder Memory, and Certified Operational Recovery. Companion manuscript, 02-B-v1.tex, 7 October 2026. Cited for finite decoder interfaces and the authorized-triple Clifford decoder component. Sequential emission data and the optimized approximate memory-error bound are proved separately here.