2018/09/04 by Lin Chen, Chen, Lin, Dragomir Ž. Djoković +1
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1809.01033
openalex publication_date 2018/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the unextendible product bases (UPBs) of fixed cardinality m in quantum systems of n qubits. These UPBs are divided into finitely many equivalence classes with respect to an equivalence relation introduced by N. Johnston. There is a natural partial order `≤' on the set of these equivalence classes for fixed m, and we use this partial order to study the topological closure of an equivalence class of UPBs. In the case of four qubits, for m=8,9,10, we construct explicitly the Hasse diagram of this partial order.