Quantum information meets algebraic geometry: A python framework for CES and UPBs

January 1, 2026EPJ Web of ConferencesOpen Access

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Key Points

The aim is to introduce a Python framework for exploring completely entangled subspaces and their geometric properties within quantum systems.
Developed a Python framework for exploring subspaces in C m ⊗ C n.
Integrated algorithms for detecting entanglement and quantifying geometric properties.
Utilized non-singular matrices like Vandermonde matrices for bases generation.
Supported advanced visualization and manipulation of quantum operators.
Constructed and verified completely entangled subspaces and their relations with unextendible product bases.
Enabled efficient exploration of maximal dimension CES.
Facilitated recognition of genuinely entangled multipartite subspaces derived from bipartite systems.

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Framework demonstrates geometric characterization of entangled subspaces in quantum systems, suggesting new research possibilities.

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V et al. (2026) studied this question.

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