Constructing unextendible product bases from multiqubit ones

• URL: http://arxiv.org/abs/2203.08397v2
• Date: Thu, 17 Mar 2022 03:54:15 GMT
• Title: Constructing unextendible product bases from multiqubit ones
• Authors: Taiyu Zhang and Lin Chen
• Abstract summary: We respectively construct two families of $2times2times4$ and $2times2times2times4$ 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.
• Score: 7.238541917115604
• License: http://creativecommons.org/licenses/by/4.0/
• 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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