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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Expansion of Reachable Sets by Zero-Operation Bases

Symmetry Constraints and Asymmetric Rule Introduction in Distributional Reconfiguration
Authors: Hirose, Tatsuki;

Expansion of Reachable Sets by Zero-Operation Bases

Abstract

This exploratory preprint analyzes how reachable regions in a four-state probability-distribution space depend on the available zero-operation rule basis. Starting from a Bell-type distribution, it compares symmetric and asymmetric operation bases, showing that mixed rules expand one-dimensional trajectories into higher-dimensional reachable regions, while symmetry constraints can prevent exact reachability of asymmetric targets. This is the fifth manuscript in a preprint series on zero-operation-based quantum computer theory.

Keywords

asymmetric rules, distributional reconfiguration, probability simplex, symmetry constraints, operation basis, zero-operations, convex hull, reachable sets

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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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