References

Hawking1975

S. W. Hawking, “Particle creation by black holes,” Communications in Mathematical Physics 43, 199–220 (1975). doi: 10.1007/BF02345020.

Unruh1976

W. G. Unruh, “Notes on black-hole evaporation,” Physical Review D 14, 870–892 (1976). doi: 10.1103/PhysRevD.14.870.

Page1976

D. N. Page, “Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole,” Physical Review D 13, 198–206 (1976). doi: 10.1103/PhysRevD.13.198.

Wald1976

R. M. Wald, “Stimulated-emission effects in particle creation near black holes,” Physical Review D 13, 3176–3182 (1976). doi: 10.1103/PhysRevD.13.3176.

HaydenPreskill2007

P. Hayden and J. Preskill, “Black holes as mirrors: quantum information in random subsystems,” Journal of High Energy Physics 09 (2007), 120. doi: 10.1088/1126-6708/2007/09/120. arXiv: 0708.4025.

ArbeyAuffinger2019

A. Arbey and J. Auffinger, “BlackHawk: A public code for calculating the Hawking evaporation spectra of any black hole distribution,” European Physical Journal C 79, 693 (2019). doi: 10.1140/epjc/s10052-019-7161-1. The revised v2.0 manual is arXiv: 1905.04268v3.

Watrous2018

J. Watrous, The Theory of Quantum Information (Cambridge University Press, 2018), especially the Holevo–Helstrom theorem and channel distance results. Author-hosted manuscript and errata: https://cs.uwaterloo.ca/ watrous/TQI/.

HorodeckiShorRuskai2003

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

KnillLaflamme1997

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

Mathur2009

S. D. Mathur, “The information paradox: a pedagogical introduction,” Classical and Quantum Gravity 26, 224001 (2009). doi: 10.1088/0264-9381/26/22/224001. arXiv: 0909.1038.

AlmheiriEtAl2020

A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “Replica wormholes and the entropy of Hawking radiation,” Journal of High Energy Physics 05 (2020), 013. doi: 10.1007/JHEP05(2020)013. arXiv: 1911.12333.

Hoeffding1963

W. Hoeffding, “Probability inequalities for sums of bounded random variables,” Journal of the American Statistical Association 58, 13–30 (1963). doi: 10.1080/01621459.1963.10500830.

NISTConstants

National Institute of Standards and Technology, Fundamental Physical Constants. Constant values and SI conversion records: https://physics.nist.gov/cuu/Constants/index.html. Numerical constants adopted for this manuscript are displayed in Section sec:source.

Mamajek2015

E. E. Mamajek et al., “IAU 2015 Resolution B3 on Recommended Nominal Conversion Constants for Selected Solar and Planetary Properties” (2015). arXiv: 1510.07674.

CheungEm03A

N. Cheung, Em03-A, version 1, unpublished manuscript, n.d. Supplied excerpt: fixed-background scalar emission law, thm:main; horizon occupation, packet expectation, and rate interfaces. Source collection: Enter Calculus Companion.

CheungEm03B

N. Cheung, Em03-B, version 2, unpublished manuscript, n.d. Supplied excerpt: complete destructive record, thm:record, and apparatus/loss interfaces. Source collection: Enter Calculus Companion.

CheungEm03C

N. Cheung, Em03-C, version 1, unpublished manuscript, n.d. Supplied excerpt: joint referenced destructive record, thm:jointrecord, and shared capture interface. Source collection: Enter Calculus Companion.

CheungEm03D

N. Cheung, Em03-D, version 1, unpublished manuscript, n.d. Supplied excerpt: quantitative local packet-effect correspondence, thm:main, with packet and transfer interfaces. Source collection: Enter Calculus Companion.

CheungEm03E

N. Cheung, Em03-E, version 1, unpublished manuscript, n.d. Supplied excerpt: exact optimal recovery, thm:recovery, and key/transfer separation. Source collection: Enter Calculus Companion.

CheungEm03F

N. Cheung, Em03-F, version 1, unpublished manuscript, n.d. Supplied excerpt: exact deterministic packet recovery and effective exterior-source channel, thm:recovery. Source collection: Enter Calculus Companion.

CheungEm03G

N. Cheung, Em03-G, version 1, unpublished manuscript, n.d. Supplied excerpt: ordered exterior-source release, thm:release. Source collection: Enter Calculus Companion.

CheungEm05A

N. Cheung, Em05-A, version 1, unpublished manuscript, n.d. Supplied excerpt: signed extraction physicality and complementary channels, thm:channels. Source collection: Enter Calculus Companion.

CheungEm05B

N. Cheung, Em05-B, version 1, unpublished manuscript, n.d. Supplied excerpt: exact recovery if and only if the complement is constant, thm:constantComplement. Source collection: Enter Calculus Companion.

CheungEm06B

N. Cheung, Em06-B, version 1, unpublished manuscript, n.d. Supplied excerpt: classical source-input stability, thm:input-stability. Source collection: Enter Calculus Companion.

CheungEn02B

N. Cheung, En02-B, version 1, unpublished manuscript, n.d. Supplied excerpt: resource-certified decoder soundness, thm:B1, and separation of readout, subsystem, and instrument tasks. Source collection: Enter Calculus Companion.

CheungEn02C

N. Cheung, En02-C, version 1, unpublished manuscript, n.d. Supplied abstract: finite unitary radiation models, information-theoretic recovery, and executable decoding. Source collection: Enter Calculus Companion.

CheungEn02D

N. Cheung, En02-D, version 4, unpublished manuscript, n.d. Supplied excerpt: energy-labelled benchmark recovery and memory optima, thm:benchmark. Source collection: Enter Calculus Companion.

CheungEn02E

N. Cheung, En02-E, version 2, unpublished manuscript, n.d. Supplied source descriptions: finite Gaussian packet calibration and occupation cutoff. Supplied theorem excerpt: exact calibrated recovery and memory optima, thm:recovery. Source collection: Enter Calculus Companion.

CheungEn03A

N. Cheung, En03-A, version 1, unpublished manuscript, n.d. Supplied excerpt: exact record compatibility, thm:pullback. Supplied source descriptions: stability, network cuts, and scalar/record sampling interfaces. Source collection: Enter Calculus Companion.

CheungPsy04A

N. Cheung, Psy04-A, version 1, unpublished manuscript, n.d. Supplied source descriptions: complete delayed-query storage boundary and classical null. Supplied excerpt: non-entailment of quantum environmental memory, thm:nonentailment. Source collection: Enter Calculus Companion.

CheungPsy04B

N. Cheung, Psy04-B, version 1, unpublished manuscript, n.d. Supplied source descriptions: query freshness, scheduled ancestry, and complete joint access cut. Supplied excerpt: thm:nonentailment. Source collection: Enter Calculus Companion.

CheungPsy02B

N. Cheung, Psy02-B, version 2, unpublished manuscript, n.d. Supplied excerpt: complete-process equality and testing obstruction, thm:process. Source collection: Enter Calculus Companion.

CheungPsy03D

N. Cheung, Psy03-D, version 1, unpublished manuscript, n.d. Supplied excerpt: carrier-independent uncued observation obstruction, cor:qobstruction. Source collection: Enter Calculus Companion.

CheungVIIJ

N. Cheung, VII-J, version 1, unpublished manuscript, n.d. Supplied excerpt: scheduled support bounds actual influence, thm:schedule. Source collection: Enter Calculus Companion.

CheungXIVH

N. Cheung, XIV-H, version 1, unpublished manuscript, n.d. Supplied excerpts: exact two-placement internal kernel and unresolved internal transition, prop:K5exact, thm:H2, thm:release. Source collection: Enter Calculus Companion.

CheungXIVI

N. Cheung, XIV-I, version 1, unpublished manuscript, n.d. Supplied excerpts: constructed internal amplitude interface and unresolved joint characteristic map, thm:I2, thm:I3, thm:release. Source collection: Enter Calculus Companion.

CheungXIVJ

N. Cheung, XIV-J, version 1, unpublished manuscript, n.d. Supplied excerpts: reconstruction descent, supported-sector reference, unresolved full map, and no quantum admission, prop:descent, thm:reference, thm:J2, cor:noadmission. Source collection: Enter Calculus Companion.

CheungXVB

N. Cheung, XV-B, version 1, unpublished manuscript, n.d. Supplied excerpt: conditional relative-lifting criterion, thm:lifting. Source collection: Enter Calculus Companion.