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Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
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Operational Guide to Hilbert Subspace Containment in the [[5,1,3]] Stabilizer Code: Falsifiable, Device-Independent Certification on Photonic and Superconducting Platforms

Authors: Richardson, William J.;

Operational Guide to Hilbert Subspace Containment in the [[5,1,3]] Stabilizer Code: Falsifiable, Device-Independent Certification on Photonic and Superconducting Platforms

Abstract

After an extensive search and to the Author's knowledge this is the first operational, falsifiable protocol for device-independent certification of Hilbert subspace containment code[[5,1,3]], specifying on-plateau gating, preregistered cuts, and cross-platform margins. This guide wraps a device-independent (DI) subspace test in an Operational Containment Layer (OCL): a plateau-gated hygiene window with engage/disengage cuts at . Inside that window, a Falsifier-Wrapped DI (FW-DI) procedure requires four preregistered falsifiers—flip-only , disable-, co-flip, and monotone-to-plateau—plus an orthogonal rank/phase cross-check to suppress single-driver spoofs. Every claim reports two margins: the DI violation margin and the corrected containment margin . The protocol is bench-ready and platform-agnostic: it provides a one-page run card, numeric thresholds, and a model-selection workflow (“table of four”) to scan candidate slices while holding the same hygiene. In effect, it moves the field from “is this state entangled?” to “are we in the right logical Hilbert room—and performing the intended logical action—under falsifiable, portable conditions?”

Keywords

stabilizer code, superconducting qubits, Hilbert subspace, device-independent certification, plateau gating, five-qubit code, Operational Containment Layer

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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