2024/02/19 by Caohan Cheng, Lin Chen, Cheng, Caohan +1 · 1 citation
Computer Science · #Advanced Database Systems and Queries #FOS: Physical sciences #Logic, programming, and type systems #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2402.11785
openalex publication_date 2024/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The unextendible orthogonal matrices (UPBs) can be used for various problems in quantum information. We provide an algorithm to check if two UPBs are non-equivalent to each other. We give a method to construct UPBs and we apply this method to find all 5-qubit UPBs of size eight. We apply the algorithm to check if the 5-qubit UPBs of size eight are non-equivalent to each other. Based on all the 5-qubit UPBs of size eight, we propose a theorem for constructing a new UPB non-equivalent to a given one.