Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps

By Michal Horodecki, Pawel Horodecki, Ryszard Horodecki. 2000

200 citations recorded by the source corpus.

Abstract We provide necessary and sufficient conditions for separability of mixed states of n -particle systems. The conditions are formulated in terms of maps which are positive on product states of n −1 particles. The method of construction of the maps on the basis of unextendible product bases is provided. The three-qubit problem is discussed in more details involving Bloch sphere parameters of qubit state.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/82e41041ec053924104e7b4fceb5d7cdf85df15d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Otfried Gühne
2. Géza Tóth
3. Marcus Huber
4. Xiaoguang Wang
5. Nicolai Friis
6. Mehul Malik
7. Giuseppe Vitagliano

In Atomic and Molecular Physics, and Optics

1. Otfried Gühne
2. Géza Tóth
3. Marcus Huber
4. Xiaoguang Wang
5. Nicolai Friis
6. Mehul Malik
7. Giuseppe Vitagliano

Citations in the corpus

• “SEW” What Do We Know and Where Do We Go? A Review of Socioemotional Wealth and a Way Forward (2020, background): “Necessary condition analysis and related techniques have broad applicability and are leveraged across multiple disciplines (e.g., physics: Horodecki et al., 2001; economics: May, 1952; psychology: Rogers, 1957; education: Gajda et al., 2017; and organizational studies: Boon et al., 2019; Van der…”
• Entanglement detection (2008, background): “These include positive maps [259] and conditions on the generalization of the Bloch vector [260,261].”