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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Intrinsic Geometric Filtering in Symmetry-Locked Metric-Degenerate Quantum Logic

Authors: Li, Y.Y.N.;

Intrinsic Geometric Filtering in Symmetry-Locked Metric-Degenerate Quantum Logic

Abstract

We introduce a geometric paradigm for two-qubit logic based on controllable exchange degeneracy. The resulting Li–iSWAP(ρ) family interpolates between identity and iSWAP through a degeneracy parameter ρ, with the half-degenerate gateU_Li-HALF = √iSWAP emerging as a native entangling primitive. We show that U_Li-HALF is symmetry-locked: it commutes with SWAP and preserves the decomposition of the two-qubit Hilbert space into symmetric and antisymmetric sectors. This locking induces an intrinsic protected manifold where entanglement activation is suppressed under exchange-symmetric (SWAP-commuting) geometric noise. Numerical simulations reveal (i) a geometric filtering effect — an extended near-zero entanglement region in state-space scans for certain noise configurations — and (ii) a symmetry-protected spatial isolation (firewall) against correlated crosstalk. For product-state inputs, entanglement activation largely follows a one-parameter scaling relation governed by x_eff = Λ(ρ) (1 − s), s = |⟨φ | χ⟩|², where s is the local overlap invariant. The different ρ-families exhibit an approximate collapse onto a common activation curve when plotted against x_eff. Breaking exchange symmetry reduces the regularity of both the filtering plateau and the scaling collapse, indicating their predominantly symmetry-enhanced geometric origin.

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selected citations
These citations are derived from selected sources.
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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