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Updated: Oct 2, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
A Characterization of Maximally Entangled Two-Qubit States
Junjun Duan1, Lin Zhang1, Quan Qian1
1School of Sciences, Hangzhou Dianzi University, Hangzhou 310018, China.
Abstract:
As already known by Rana's result, all eigenvalues of any partial-transposed bipartite state fall within the closed interval [-12,1]. In this note, we study a family of bipartite quantum states where the minimal eigenvalues of partial-transposed states are -12. For a two-qubit system, we find that the minimal eigenvalue of its partial-transposed state is -12 if and only if such a two-qubit state is maximally entangled. However this result does not hold in general for a two-qudit system when the dimensions of the underlying space are larger than two.
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