References

CheungEn05A

N. Cheung, Exact Causal Cones for Partitioned Enter Dynamics: Snapshot–Channel Comparison, Sharp Relay Speed, and Conditional Continuum Limits. En05-A, version 1, supplied manuscript En05-A-v1.tex, October 2026. Especially lem:comparison, thm:cone, and the C1–C7 interfaces. Cited as a supplied source, not as an independently certified publication.

CheungEn05B

N. Cheung, En05-B: An Isotropic Matched Operational Continuum Limit for Partitioned Quantum–Classical Networks. Version 1, supplied manuscript En05-B-v1.tex, October 2026. Especially lem:comparison, thm:matched, and the fixed-skeleton completion interface.

CheungEn06A

N. Cheung, En06-A: Causal Cones, Increasing Stencils, and Operational Transport: A Corrected Layer Account of Partitioned Quantum Dynamics. Version 1, supplied manuscript En06-A-v1.tex, October 2026. Especially lem:comparison, thm:order, and C6${}^{\mathrm{obs}}$.

CheungEn03A

N. Cheung, En03-A. Version 1, supplied companion excerpts. Especially lem:one-layer, thm:locality, and the prescribed schedule support comparison.

CheungVIIE

N. Cheung, Landmark VII-E. Version 1, supplied companion excerpts. Prescribed schedule locality and fixed-labelled-channel ordering invariance.

CheungVIIG

N. Cheung, Landmark VII-G. Version 1, supplied companion excerpts. Operational locality with explicit hybrid-controller support; especially thm:locality.

CheungVIIJ

N. Cheung, Landmark VII-J. Version 1, supplied companion excerpts. Complete-channel no-signalling, operational influence, and prescribed causal-support interfaces.

CheungPsy04B

N. Cheung, Psy04-B. Version 1, supplied companion excerpts from Psy04-B-v1.tex. Complete finite networks, scheduled ancestry, and approximate no-signalling certificates.

CheungEn02C

N. Cheung, En02-C. Version 1, supplied companion excerpts from En02-C-v1.tex. Reference-preserving sequential-program soundness; especially thm:C1.

CheungI

N. Cheung, Landmark I. Version 2, supplied companion source record and excerpts. Finite complete instruments and the specified destructive Enter interface. No gauge-field implementation theorem is imported.

CheungEn04A

N. Cheung, En04-A. Version 1, supplied companion excerpts. Complete readout accounting and the distinction between accessible recovery, complete outputs, and residual response.

CheungHawk04B

N. Cheung, Hawk04-B. Version 2, supplied companion excerpts. Especially thm:drop and the classical-record reconstruction interface.

CheungXIVH

N. Cheung, Landmark XIV-H: Internal Kernel Relations on the Operator Route. Version 1, supplied companion excerpts. Historical H2 internal-amplitude boundary. Documentary non-transfer only.

CheungXIVI

N. Cheung, Landmark XIV-I. Version 1, supplied companion excerpts. Internal amplitude constructed at I2; full joint characteristic map unresolved at I3. Documentary non-transfer only.

CheungXIVJ

N. Cheung, Landmark XIV-J. Version 1, supplied companion excerpts. Reconstruction descent, supported-sector off-characteristic reference, and the unresolved J2 full-map boundary. Documentary non-transfer only.

CasiniHuertaRosabal

H. Casini, M. Huerta, and J. A. Rosabal, “Remarks on entanglement entropy for gauge fields,” Physical Review D 89 (2014), 085012. doi:10.1103/PhysRevD.89.085012. arXiv:1312.1183.

DonnellyFreidel

W. Donnelly and L. Freidel, “Local subsystems in gauge theory and gravity,” Journal of High Energy Physics 09 (2016), 102. doi:10.1007/JHEP09(2016)102. arXiv:1601.04744.

VanAcoleyenEtAl

K. Van Acoleyen, N. Bultinck, J. Haegeman, M. Marien, V. B. Scholz, and F. Verstraete, “Entanglement of distillation for lattice gauge theories,” Physical Review Letters 117 (2016), 131602. doi:10.1103/PhysRevLett.117.131602. arXiv:1511.04369.

Arveson

W. B. Arveson, “Subalgebras of $C^{\ast }$-algebras,” Acta Mathematica 123 (1969), 141–224. doi:10.1007/BF02392388. Cited for the matrix-level completely positive framework, not as a required extension theorem in the comparison proof.

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.

Pedersen

G. K. Pedersen, {$C^{\ast }$-Algebras and Their Automorphism Groups}. London Mathematical Society Monographs 14, Academic Press, 1979. Background on states, Hermitian functionals, Jordan decomposition, and positive extension.

Sakai

S. Sakai, {$C^{\ast }$-Algebras and $W^{\ast }$-Algebras}. Springer, 1971. Background on von Neumann preduals and normal functionals.

Takesaki

M. Takesaki, “Conditional expectations in von Neumann algebras,” Journal of Functional Analysis 9 (1972), 306–321. doi:10.1016/0022-1236(72)90004-3.

KogutSusskind

J. Kogut and L. Susskind, “Hamiltonian formulation of Wilson's lattice gauge theories,” Physical Review D 11 (1975), 395–408. doi:10.1103/PhysRevD.11.395. The finite ${\mathbb{Z}}_2$ demonstrator in this paper is proved directly.

Fewster

C. J. Fewster, “The split property for locally covariant quantum field theories in curved spacetime,” Letters in Mathematical Physics 105 (2015), 1633–1661. doi:10.1007/s11005-015-0798-2. arXiv:1501.02682. Cited as a comparison for stronger independence assumptions.

BuchholzVerch

D. Buchholz and R. Verch, “Scaling algebras and renormalization group in algebraic quantum field theory,” Reviews in Mathematical Physics 7 (1995), 1195–1240. doi:10.1142/S0129055X9500044X. arXiv:hep-th/9501063. Cited as a specialized AQFT comparison, not identified with the bounded-sequence quotient constructed here.

Watrous

J. Watrous, The Theory of Quantum Information. Cambridge University Press, 2018. doi:10.1017/9781316848142. Finite complete instruments and reference-stable channel norms.