Inertia of two-qutrit entanglement witnesses
Changchun Feng, Lin Chen, Chang Xu, and Yi Shen
TL;DR
This paper studies the inertias of entanglement witnesses derived from the partial transpose of NPT states, revealing their properties in two-qutrit systems and extending findings to higher dimensions.
Contribution
It provides a detailed analysis of the inertias of bipartite entanglement witnesses for two-qutrit states and extends the results to high-dimensional quantum states.
Findings
Most inertias of the partial transpose of two-qutrit NPT states are characterized.
Results are extended to high-dimensional bipartite states.
Insights into the structure of entanglement witnesses for complex quantum systems.
Abstract
Entanglement witnesses (EWs) are a fundamental tool for the detection of entanglement. We investigate the inertias of bipartite EWs constructed by the partial transpose of NPT states. Furthermore, we find out most of the inertias of the patial transpose of the two-qutrit bipartite NPT states. As an application, we extend our results to high dimensional states.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Quantum Mechanics and Applications