A Sparse $Z_2$ Chain Complex Without a Sparse Lift

We construct a sparse $Z_2$ chain complex (with three different degrees, so that it corresponds to a quantum code) which does not admit a sparse lift to the integers, answering a question in Ref. 1.

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Journal
ArXiv.org
Published
2025-09-26
Primary Topic
Polyomavirus and related diseases
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article
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article

A Sparse $Z_2$ Chain Complex Without a Sparse Lift

ArXiv.org
Polyomavirus and related diseases
article

A Sparse $Z_2$ Chain Complex Without a Sparse Lift

article en

Abstract

We construct a sparse $Z_2$ chain complex (with three different degrees, so that it corresponds to a quantum code) which does not admit a sparse lift to the integers, answering a question in Ref. 1.

ArXiv.org
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Polyomavirus and related diseases
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A Sparse $Z_2$ Chain Complex Without a Sparse Lift · ArXiv.org (2025) | TGRS Research Map | TGRS