How justified is the assumption of parallel Pauli-product measurements on high-rate LDPC codes in recent neutral-atom resource estimates?

How justified is the assumption of parallel Pauli-product measurements on high-rate LDPC codes in recent neutral-atom resource estimates? Ask Question Asked today Modified today Viewed 10 times 0 I am trying to understand one specific assumption in the recent paper "Shor’s algorithm is possible with as few as 10,000 reconfigurable atomic qubits" (arXiv:2603.28627). In the time-efficient architecture, the authors assume the existence of logical gadgets capable of measuring many logically disjoint Pauli-product measurements (PPMs) on high-rate codes in parallel, and part of the space/time estimate seems to rely on that assumption. My question is not whether the whole paper is correct, but specifically: How well established is this assumption at present? More concretely: Are there explicit constructions for such parallel PPM gadgets on high-rate quantum codes with overheads comparable to what is assumed in resource-estimation papers? If related ideas have only been demonstrated for smaller instances or different code families, how strong is the extrapolation to the regime considered here? In fault-tolerant resource estimation, is it considered standard practice to assume such logical gadgets before their full end-to-end overhead has been worked out, or would that usually be viewed as a major open engineering/theory gap? I would especially appreciate answers that distinguish between the three regimes: Regime A: "there is a concrete published construction with believable scaling." Regime B: "this is plausible but still speculative." Regime C: "this assumption is currently much stronger than the paper makes it sound." quantum-algorithmsshors-algorithmfault-tolerance Share Improve this question Follow asked 2 hours ago Yunzhe 1,7885 5 silver badges 22 22 bronze badges See also the discussion on SciRate (scirate.com/arxiv/2603.28627) regarding this pre-print. –  Martin Ekerå Commented 28 mins ago Add a comment Know someone who can answer? Share a link to this question via email, Twitter, or Facebook. Your Answer Sign up or log in Sign up using Google Sign up using Email and Password Post as a guest Name Email Required, but never shown Post Your Answer By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy. Start asking to get answers Find the answer to your question by asking. Ask question Explore related questions quantum-algorithmsshors-algorithmfault-tolerance See similar questions with these tags. 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