ORIGINAL RESEARCH article
Front. Quantum Sci. Technol.
Sec. Quantum Information Theory
On the quantum separability of qubit registers
Provisionally accepted
- Łukaszyk Patent Attorneys, Katowice, Poland
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We show that the bipartite separability of a pure qubit state hinges critically on the combinatorial structure of its computational-basis support. Using Boolean cube geometry, we introduce a taxonomy that distinguishes support-guaranteed separability from cases in which entanglement depends on probability amplitudes. We provide closed-form support counts, identify forbidden configurations that enforce multipartite entanglement, and show how these results can enable fast entanglement diagnostics in quantum circuits. The framework offers immediate utility in classical simulation, entanglement-aware circuit design, and quantum error-correcting code analysis. This establishes support geometry as a practical and scalable tool for understanding entanglement in quantum information processing.
Keywords: Boolean-cube geometry, combinatorial quantum information, quantum entanglement, Quantum information processing, quantum separability
Received: 25 Nov 2025; Accepted: 16 Jan 2026.
Copyright: © 2026 Łukaszyk. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Szymon Łukaszyk
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