Year: 2014
Type: article
Abstract: In this contribution we relate two different key concepts: mutually unbiased bases (MUBs) and entanglement. We provide a general toolbox for analyzing and comparing entanglement of quantum states for different dimensions and numbers of particles. In particular we focus on bound entanglement, i.e. highly mixed states which cannot be distilled by local operations and classical communications. For a certain class of states—for which the state-space forms a ‘ magic ’ simplex—we analyze the set of bound entangled states detected by the MUB criterion for different dimensions d and number of particles n . We find that the geometry is similar for different d and n , consequently the MUB criterion opens possibilities to investigate the typicality of positivity under partial transposition (PPT)-bound and multipartite bound entanglement more deeply and provides a simple experimentally feasible tool to detect bound entanglement.
Source: Physica Scripta
Authors: Beatrix C Hiesmayr, Wolfgang Löffler
Institutions: University of Vienna, Leiden University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2012212422