Mixed State

Arthur Rose-Innes, E. H. Rhoderick

Shenglong Hu, Liqun Qi, Yisheng Song +1 more

The geometric measure of entanglement of a pure state, defined by its distance to the set of pure separable states, is extended to multipartite mixed states. We characterize the nearest disentangled mixed state to a given mixed state with respect to this measure by a system of equations. The entanglement eigenvalue for a mixed state is introduced. For a given mixed state, we show that its nearest disentangled mixed state is associated with its entanglement eigenvalue.

Shenglong Hu, Liqun Qi, Yisheng Song +1 more

The geometric measure of quantum entanglement of a pure state, defined by its distance to the set of pure separable states, is extended to multipartite mixed states. We characterize the nearest disentangled mixed state to a given mixed state with respect to the geometric measure by means of a system of equations. The entanglement eigenvalue for a mixed state is introduced. And we show that, for a given mixed state, its nearest disentangled mixed state is associated with its entanglement eigenvalue. Two numerical examples are used to demonstrate the effectiveness of the proposed method.

O. M. Braun, Yuri S. Kivshar

Dipankar Bhattacharyya, Jyotirmoy Guha

Zhang Xiao, Shanqi Pang, Shao‐Ming Fei +1 more

Abstract k ‐uniform mixed states are a significant class of states characterized by all k ‐party reduced states being maximally mixed.Novel methodologies are constructed for constructing k ‐uniform mixed states with the highest possible purity. By using the orthogonal partition of orthogonal arrays, a series of new k ‐uniform mixed states is derived. Consequently, an infinite number of higher‐dimensional k ‐uniform mixed states, including those with highest purity, can be generated.