References

Em03A

N. Cheung, Em03-A: A Fixed-Background Hawking Emission Theorem, version 1, 8 October 2026. Supplied manuscript, 03-A-v1.tex. The stationary boundary model is restated explicitly in this paper.

En02D

N. Cheung, Energy-Resolved Radiation and Resource-Limited Recovery: Exact Memory Benchmarks, Loss-Closed Emission, and Explicit Streaming Protocols, version 4, 8 October 2026. Supplied manuscript, 02D-v4.tex. The benchmark specialization used here is proved in the text.

Hawking

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

DMP

C. Dappiaggi, V. Moretti, and N. Pinamonti, Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime, Advances in Theoretical and Mathematical Physics 15, 355–447 (2011). arXiv:0907.1034v2, revised 21 February 2012.

Weedbrook

C. Weedbrook, S. Pirandola, R. García-Patrón, N. J. Cerf, T. C. Ralph, J. H. Shapiro, and S. Lloyd, Gaussian Quantum Information, Reviews of Modern Physics 84, 621–669 (2012). arXiv:1110.3234. doi:10.1103/RevModPhys.84.621.

Caruso

F. Caruso, J. Eisert, V. Giovannetti, and A. S. Holevo, Multi-mode bosonic Gaussian channels, New Journal of Physics 10, 083030 (2008). arXiv:0804.0511. doi:10.1088/1367-2630/10/8/083030.

FredenhagenHaag

K. Fredenhagen and R. Haag, On the derivation of Hawking radiation associated with the formation of a black hole, Communications in Mathematical Physics 127, 273–284 (1990). doi:10.1007/BF02096757.

HollandsWald

S. Hollands and R. M. Wald, Quantum fields in curved spacetime, Physics Reports 574, 1–35 (2015). arXiv:1401.2026. doi:10.1016/j.physrep.2015.02.001.

Shirokov

M. E. Shirokov, Energy-constrained diamond norms and their use in quantum information theory, Problems of Information Transmission 54, 20–33 (2018). arXiv:1706.00361. doi:10.1134/S0032946018010027.

BlackHawk

A. Arbey and J. Auffinger, BlackHawk v2.0: A public code for calculating the Hawking evaporation spectra of any black hole distribution, arXiv:1905.04268v3, 6 August 2021. Version-specific manual. Original article: European Physical Journal C 79, 693 (2019), doi:10.1140/epjc/s10052-019-7161-1. No execution or comparison is asserted here.

Higuchi

A. Higuchi, Low-frequency scalar absorption cross sections for stationary black holes, Classical and Quantum Gravity 18, L139 (2001); Addendum, 19, 599 (2002). arXiv:hep-th/0108144v2. doi:10.1088/0264-9381/18/20/102.

Watrous

J. Watrous, Semidefinite programs for completely bounded norms, Theory of Computing 5, 217–238 (2009). arXiv:0901.4709. doi:10.4086/toc.2009.v005a011.

Smolin

J. A. Smolin, A four-party unlockable bound-entangled state, Physical Review A 63, 032306 (2001). arXiv:quant-ph/0001001. doi:10.1103/PhysRevA.63.032306.

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. doi:10.1103/PhysRevA.85.032333.

CVXPYConstraints

CVXPY authors, Constraints: API reference. https://www.cvxpy.org/api_reference/cvxpy.constraints.html Consulted for constraint-violation diagnostics. Installed software versions are recorded by execution.

CVXPYAdvanced

CVXPY authors, Advanced Constraints. https://www.cvxpy.org/tutorial/constraints/index.html Consulted for complex expressions and Hermitian variables.

CVXPYSolvers

CVXPY authors, Solver Features. https://www.cvxpy.org/tutorial/solvers/index.html Consulted for solver invocation, settings, and statistics.