The checkerboard family of entangled states of two qutrits

TL;DR

This paper introduces two new families of entangled two-qutrit states, expanding the understanding of their structure and properties, including PPT and NPT states, with detailed parameterizations.

Contribution

It constructs novel families of entangled two-qutrit states using a modified method, highlighting their parameter spaces and entanglement properties.

Findings

First family has 27 parameters, includes PPT and NPT states.

Second family consists solely of PPT entangled states.

All states have zero entries where i+j is odd.

Abstract

By modifying the method of Bruss and Peres, we construct two new families of entangled two qutrit states. For all density matrices in these families the (i,j)th entry is 0 for i+j odd. The first family depends on 27 independent real parameters and includes both PPT and NPT states. The second family consists of PPT entangled states. The number of independent real parameters of this family is at least 11.