A Criterion to identify maximally entangled nine-qubit state
Quantum Physics
2020-02-19 v1
Abstract
We present a generalized criterion for maximally entangled nine-qubit states, whose minimum averaged subsystem purity should be equal to 1/14. In this note, we prove that absolutely maximally entangled state for nine qubits does not exist. Further, we construct a new genuine nine-qubit maximally entangled states of 110,15 and 1 balanced purities equal to 1/16, , 1/8 and and 1/4, respectively. We found that, the marginal density matrices for subsystems of 1,2,3- qubits all completely mixed in these states, therefore, maximally entangled nine-qubit state is a 3-uniform state.
Keywords
Cite
@article{arxiv.1907.05612,
title = {A Criterion to identify maximally entangled nine-qubit state},
author = {Xinwei Zha and Irfan Ahmed and Da Zhang and Yanpeng Zhang},
journal= {arXiv preprint arXiv:1907.05612},
year = {2020}
}