References

KnillLaflamme

E. Knill and R. Laflamme, “Theory of quantum error-correcting codes,” Physical Review A 55 (1997), 900–911. doi: 10.1103/PhysRevA.55.900. Preprint: arXiv:quant-ph/9604034.

BraunsteinPati

S. L. Braunstein and A. K. Pati, “Quantum information cannot be completely hidden in correlations: Implications for the black-hole information paradox,” Physical Review Letters 98 (2007), 080502. doi: 10.1103/PhysRevLett.98.080502. arXiv:gr-qc/0603046.

Stinespring

W. F. Stinespring, “Positive functions on $C^{\ast }$-algebras,” Proceedings of the American Mathematical Society 6 (1955), 211–216. doi: 10.1090/S0002-9939-1955-0069403-4.

Watrous

J. Watrous, The Theory of Quantum Information, Cambridge University Press, 2018.

HorodeckiShorRuskai

M. Horodecki, P. W. Shor, and M. B. Ruskai, “Entanglement breaking channels,” Reviews in Mathematical Physics 15 (2003), 629–641. doi: 10.1142/S0129055X03001709. Preprint title: “General Entanglement Breaking Channels,” arXiv:quant-ph/0302031.

Landauer

R. Landauer, “Irreversibility and heat generation in the computing process,” IBM Journal of Research and Development 5 (1961), 183–191. doi: 10.1147/rd.53.0183.

Bennett

C. H. Bennett, “The thermodynamics of computation—a review,” International Journal of Theoretical Physics 21 (1982), 905–940. doi: 10.1007/BF02084158.

ReebWolf

D. Reeb and M. M. Wolf, “An improved Landauer principle with finite-size corrections,” New Journal of Physics 16 (2014), 103011. doi: 10.1088/1367-2630/16/10/103011. arXiv:1306.4352.

delRioEtAl

L. del Rio, J. Å{}berg, R. Renner, O. Dahlsten, and V. Vedral, “The thermodynamic meaning of negative entropy,” Nature 474 (2011), 61–63. doi: 10.1038/nature10123. arXiv:1009.1630. Cited as a separate quantum-side-information resource framework.

RyuTakayanagi

S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Physical Review Letters 96 (2006), 181602. doi: 10.1103/PhysRevLett.96.181602. arXiv:hep-th/0603001. Context only; not a premise of the channel proofs.

AlmheiriDongHarlow

A. Almheiri, X. Dong, and D. Harlow, “Bulk locality and quantum error correction in AdS/CFT,” Journal of High Energy Physics 04 (2015), 163. doi: 10.1007/JHEP04(2015)163. arXiv:1411.7041. Context only; no holographic dictionary is imported.

JLMS

D. L. Jafferis, A. Lewkowycz, J. Maldacena, and S. J. Suh, “Relative entropy equals bulk relative entropy,” Journal of High Energy Physics 06 (2016), 004. doi: 10.1007/JHEP06(2016)004. arXiv:1512.06431. Context only.

Page

D. N. Page, “Information in black hole radiation,” Physical Review Letters 71 (1993), 3743–3746. doi: 10.1103/PhysRevLett.71.3743. arXiv:hep-th/9306083. Context only; no Page-curve result is derived here.

AlmheiriEtAl

A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “The entropy of Hawking radiation,” Reviews of Modern Physics 93 (2021), 035002. doi: 10.1103/RevModPhys.93.035002. arXiv:2006.06872. Context only; no island formula is applied in this note.

CheungHawk04A

N. Cheung, Hawk04-A: Unitary Information Preservation and Radiation Recovery: A Complete-Complement Formulation of the Black-Hole Information Problem, version 1. Supplied unpublished manuscript record, Hawk04-A-v1.tex, n.d. Source labels include thm:global, thm:exact, prop:thermal, and prop:erasure. Relevant channel facts are proved locally.

CheungHawk04B

N. Cheung, Hawk04-B: Black-Hole Information as an Access Problem: Enter, Quantum Recovery, and Complete Residuals, version 2. Supplied complete unpublished source, Hawk04-B-v2.tex, n.d. Immediate framing source: complete channels, destructive readout, classical obstruction, regulated model, energy ledger, four-Majorana control, endpoint distinctions, and release boundary.

CheungI

N. Cheung, Landmark I, version 2. Supplied unpublished excerpts and source record, n.d. In particular, thm:main, “Characterization.” The declared strategy-class hypotheses are not reconstructed here.

CheungEn03A

N. Cheung, En03-A, version 1. Supplied unpublished excerpts, En03-A.tex, n.d. Interface and scheduled-channel locality comparisons. Not a premise of the independently defined finite fragment.

CheungEn02B

N. Cheung, En02-B, version 1. Supplied unpublished excerpts, En02-B-v1.tex, n.d. In particular, thm:B5: the specified perfect-code streaming memory benchmark. No resource optimum is transferred.

CheungEn02C

N. Cheung, En02-C, version 1. Supplied unpublished excerpts, En02-C-v1.tex, n.d. In particular, thm:C2 and the supplied thm:C3 description: information-theoretic availability and executable streaming recovery are distinct.

CheungEn02E

N. Cheung, En02-E, version 2. Supplied unpublished excerpts, En02-E-v2.tex, n.d. Finite Gaussian packet and flagged-cutoff comparisons. Commuting-state cutoff restrictions are retained.

CheungEm03B

N. Cheung, Em03-B, version 2. Supplied unpublished excerpts, Em03-B-v2.tex, n.d. Effective apparatus-model readout, visible failures, later reset, and the disclaimer that channel notation does not fix thermodynamic costs. No apparatus realization is imported.

CheungEm03C

N. Cheung, Em03-C, version 1. Supplied unpublished excerpts, Em03-C-v1.tex, n.d. Joint apparatus, spectator, coherent-comparison, and complete record interfaces. Documentary comparison only.

CheungEm03E

N. Cheung, Em03-E, version 1. Supplied unpublished excerpts, Em03-E-v1.tex, n.d. In particular, thm:evolution, thm:complement, and thm:release. Declared finite dynamics and energy conservation are not a physical evaporation identification or reset-cost theorem.

CheungEm03H

N. Cheung, Em03-H, version 8. Supplied unpublished excerpts, Em03-H-v8.tex, n.d. In particular, thm:complementary. Fixed quartic-bath complementary certificates; not a Page curve or a gravitational dictionary.

CheungEn04A

N. Cheung, En04-A, version 1. Supplied unpublished excerpts, En04-A.tex, n.d. In particular, cor:noimplication. Specified non-Clifford and non-local-magic quantities are not identified with complete residual leakage.

CheungXVIIA

N. Cheung, Landmark XVII-A, version 1. Supplied unpublished excerpts, XVII-A.tex, n.d. In particular, thm:release. Finite boundary sine-effect reconstruction and binary readout; no continuum CFT or entanglement-wedge identification is imported.

CheungEm06A

N. Cheung, Em06-A, version 1. Supplied unpublished excerpts, Em06-A-v1.tex, n.d. Scalar-only first-coefficient limit with metric input. Documentary separation only.

CheungEm06B

N. Cheung, Em06-B, version 1. Supplied unpublished excerpts, Em06-B-v1.tex, n.d. Scalar-only family concentration; optional metric gate not entered. Documentary separation only.

CheungEn05A

N. Cheung, En05-A, version 1. Supplied unpublished excerpts, En05-A.tex, n.d. Finite scheduled locality and metric-cone comparison. Not a thermodynamic or gravitational-dynamics premise.

CheungEn05B

N. Cheung, En05-B, version 1. Supplied unpublished excerpts, En05-B.tex, n.d. Matched finite transport families with prescribed operational speed. Documentary separation only.

CheungEn06A

N. Cheung, En06-A, version 1. Supplied unpublished excerpts, En06-A.tex, n.d. Increasing-stencil causal comparisons and retained device-closure limitations. Documentary separation only.

CheungEn06B

N. Cheung, En06-B. Supplied unpublished descriptive source record, n.d. A separately described transport or instrument-limit comparison; a version-complete proof is not supplied here. No theorem is used as a premise.

CheungVIIJ

N. Cheung, Landmark VII-J, version 1. Supplied unpublished excerpts, VII-J.tex, n.d. Finite communication certificates on a fixed cone. Certified matter communication is not matter-driven cone dynamics.

CheungXIVH

N. Cheung, Landmark XIV-H: Internal kernel relations on the operator route, version 1. Supplied unpublished excerpts, XIV-H.tex, n.d. In particular, thm:H2. Historical internal-amplitude stop; documentary separation only.

CheungXIVI

N. Cheung, Landmark XIV-I, version 1. Supplied unpublished excerpts, XIV-I.tex, n.d. In particular, thm:I2, thm:I3, and thm:release. Named internal amplitude construction does not supply the full joint characteristic map.

CheungXIVJ

N. Cheung, Landmark XIV-J, version 1. Supplied unpublished excerpts, XIV-J.tex, n.d. In particular, prop:descent, thm:reference, thm:J2, thm:conditionalextension, and cor:noadmission. Supported-sector off-characteristic reference is not full admission.

CheungXVB

N. Cheung, Landmark XV-B, version 1. Supplied unpublished excerpts, XV-B.tex, n.d. In particular, thm:release. Abstract descent and extension interfaces do not construct the inherited full characteristic contraction.

CheungXVIN

N. Cheung, Landmark XVI-N, version r12. Supplied unpublished excerpts, XVI-N.tex, n.d. In particular, thm:massless-obstruction. Conditional specified-instance obstruction; separate universal and route obligations are not discharged here.

SuppliedCatalogue

OpenAI, as attributed in the supplied companion record, OpenAI catalogue excerpts. Supplied documentary descriptions of Families 276, 279, 227, 119, and the non-transfer concerning Family 356. Attribution, full proof content, and publication status are not independently verified here. No catalogue entry is a theorem premise.