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arXiv · 2203.08397

Constructing unextendible product bases from multiqubit ones

Taiyu Zhang·Lin Chen
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Abstract

The construction of multipartite unextendible product bases (UPBs) is a basic problem in quantum information. We respectively construct two families of $2\times2\times4$ and $2\times2\times2\times4$ UPBs of size eight by using the existing four-qubit and five-qubit UPBs. As an application, we construct novel families of multipartite positive-partial-transpose entangled states, as well as their entanglement properties in terms of the geometric measure of entanglement.

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Taiyu Zhang, Lin Chen. 2022-03-16. Constructing unextendible product bases from multiqubit ones. https://doi.org/10.1088/1572-9494%2Fac9f0f

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