The construction of multiqubit unextendible product bases
Quantum Physics
2024-02-20 v1
Abstract
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 -qubit UPBs of size eight. We apply the algorithm to check if the -qubit UPBs of size eight are non-equivalent to each other. Based on all the -qubit UPBs of size eight, we propose a theorem for constructing a new UPB non-equivalent to a given one.
Keywords
Cite
@article{arxiv.2402.11785,
title = {The construction of multiqubit unextendible product bases},
author = {Caohan Cheng and Lin Chen},
journal= {arXiv preprint arXiv:2402.11785},
year = {2024}
}