References

Watrous

J. Watrous, The Theory of Quantum Information, Cambridge University Press, 2018. Channel adjoints, complete norms, and reference-assisted channel comparison.

Perinotti

P. Perinotti, “Causal influence in operational probabilistic theories,” Quantum 5 (2021), 515. arXiv:2012.15213. doi:10.22331/q-2021-08-03-515.

LorenzBarrett

R. Lorenz and J. Barrett, “Causal and compositional structure of unitary transformations,” Quantum 5 (2021), 511. arXiv:2001.07774. doi:10.22331/q-2021-07-28-511.

Fritz

T. Fritz, “Velocity polytopes of periodic graphs and a no-go theorem for digital physics,” Discrete Mathematics 313 (2013), 1289–1301. arXiv:1109.1963. doi:10.1016/j.disc.2013.02.010.

BravyiHastingsVerstraete

S. Bravyi, M. B. Hastings, and F. Verstraete, “Lieb–Robinson bounds and the generation of correlations and topological quantum order,” Physical Review Letters 97 (2006), 050401. arXiv:quant-ph/0603121. doi:10.1103/PhysRevLett.97.050401.

HaahHastingsKothariLow

J. Haah, M. B. Hastings, R. Kothari, and G. H. Low, “Quantum algorithm for simulating real time evolution of lattice Hamiltonians,” SIAM Journal on Computing, special section FOCS 2018. arXiv:1801.03922. doi:10.1137/18M1231511.

SchumacherWerner

B. Schumacher and R. F. Werner, Reversible quantum cellular automata. arXiv:quant-ph/0405174, 2004.

ArrighiNesmeWerner

P. Arrighi, V. Nesme, and R. F. Werner, Unitarity plus causality implies localizability. arXiv:0711.3975. Graph-based unitary causal implementation framework.

ArrighiMartiel

P. Arrighi and S. Martiel, “Quantum causal graph dynamics,” Physical Review D 96 (2017), 024026. arXiv:1607.06700. doi:10.1103/PhysRevD.96.024026.

DJH

S. Deser, R. Jackiw, and G. 't Hooft, “Three-dimensional Einstein gravity: Dynamics of flat space,” Annals of Physics 152 (1984), 220–235. doi:10.1016/0003-4916(84)90085-X.

CheungVIIA

N. Cheung, Landmark VII-A: Plateau-compatible relational scalars: a second-order classical intertwiner. Supplied manuscript VII-A.tex, n.d. Classical plateau covariance; not a quantum causal simulation.

CheungVIIB

N. Cheung, Landmark VII-B: Cauchy harmonic insertions and second-order retarded products: a sharp-boundary obstruction in an off-shell polynomial domain. Supplied manuscript VII-B.tex, n.d.

CheungVIIC

N. Cheung, Landmark VII-C: A mixed-Wick obstruction to a normal-topology boundary extension for sharp Cauchy harmonic insertions. Supplied manuscript VII-C.tex, n.d.

CheungVIID

N. Cheung, Landmark VII-D: Finite part of the regulated Cauchy-reflection triangle: a strong numerical distributional limit for the VII-C family. Supplied manuscript VII-D.tex, n.d. Numerical subtraction, not a channel or physical causal embedding.

CheungVIIE

N. Cheung, Landmark VII-E: Observation boundaries for destructive quantum readout and external geometry. Supplied manuscript VII-E.tex, n.d. In particular: thm:locality, cor:local-readout, prop:relay, prop:direction, thm:retiming, thm:pullback, and thm:residual-obstruction.

CheungVIIF

N. Cheung, Landmark VII-F: A particle-supported slicing event on a fixed spinless cone. Supplied manuscript VII-F.tex, n.d. Geometric certificate and forward-domain reversible implementation; physical gate localization and timing are added in the present manuscript.

CheungVIIG

N. Cheung, Landmark VII-G: Completely positive observation boundaries for finite matter–geometry feedback. Supplied manuscript VII-G.tex, n.d. Finite hybrid history and channel-stability comparison; not used as a physical event theorem.

CheungVIIH

N. Cheung, Landmark VII-H: Normalization-independent connected quantum responses: complete ambiguity, observable descent, and a nonzero free-field benchmark. Supplied manuscript source in the present discussion, n.d. A separate response construction, not a schedule or instrument.