[gsf_emergency_2]

Grad students Keye Martin & Lemmonier

https://arxiv.org/pdf/2406.07216

Seem to have had measurement problem right next to Scott continuity, -- & left it at that :)

If you want me to look at the details you've got to motivate me by telling what doesn't make sense to you (but ought to?)

[082349872349872]

in the priority heap... if you give me some pp's I'll bump it up

[gsf_emergency_2]

Lemonnier only cites

pp22

A first approach to programming with quantum effects is the quantum λ-calculus [SV09]. Nevertheless, that language does not handle quantum programming as an algebraic effect, since it requires measurement into classical data to control the flow of execution.

pp23 1st para has more of the same

In the quantum λ-calculus, a qubit has to be measured before influencing the control of a program. These models are not of interest to this thesis, because the use of measurement breaks superposition, therefore it does not preserve the aforementioned quantum effect.

[SV09] Peter Selinger and Benoit Valiron. Quantum lambda calculus. Semantic techniques in quantum computation, pages 135–172, 2009.

Keye Martin: be right back (I didn't see much there either.)

in my own heap: one might be able to use Scott continuity to replace lemma 7?

https://arxiv.org/abs/2306.10072

pp6-10 "Corrupted geometric sum"

Pay attention to how the "control gates" (as in SV09) are invoked

pp7: The crucial step in Shor’s algorithm, after the quantum Fourier transform, is to take a quantum measurement, with the property that the probability of observing a state that is close to an integral multiple of 2^n/ω is high.

pp12 has this speculation

>At its most fundamental level, it is not permitted to ask the computing machine to scan a continuously deformed symbol from ξ to ζ, while a mathematical homotopy can easily be envisioned.

[gsf_emergency_2]

Keye & Coecke

https://www.researchgate.net/publication/2843975_A_Partial_O...

pp80-82 Section 10.5.1 noise

Martin has an autobiographical chapter in the full book