Entanglement conditions for four-mode states via the uncertainty relations in conjunction with partial transposition

• Authors: Lijun Song , Xiaoguang Wang , Dong Yan , Yongda Li
• Languages of publication: EN

Abstracts

EN

From the Heisenberg uncertainty relation in conjunction with partial transposition, we derive a class of inequalities for detecting entanglements in four-mode states. The sufficient conditions for bipartite entangled states are presented. We also discuss the generalization of the entanglement conditions via the Schrödinger-Robertson indeterminacy relation, which are in general stronger than those based on the Heisenberg uncertainty relation.

Keywords

EN

entanglement conditions; Heisenberg uncertainty relation; Schrödinger-Robertson indeterminacy relation; four-mode states; partial transposition

Discipline

• 03.67.Mn: Entanglement measures, witnesses, and other characterizations(see also 03.65.Ud Entanglement and quantum nonlocality; 42.50.Dv Quantum state engineering and measurements in quantum optics)
• 03.65.Ud: Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)(for entanglement production and manipulation, see 03.67.Bg; for entanglement measures, witnesses etc., see 03.67.Mn; for entanglement in Bose-Einstein condensates, see 03.75.Gg)
• 42.50.Dv: Quantum state engineering and measurements(see also 03.65.Ud Entanglement and quantum nonlocality, e.g., EPR paradox, Bells inequalities, GHZ states, etc.)

• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 2
• Pages: 199-204

Dates

published

1 - 6 - 2008

online

26 - 3 - 2008

Contributors

author

Lijun Song,

author

Xiaoguang Wang

• Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, HangZhou, 310027, P.R.China

author

Dong Yan

• School of Science, Lanzhou University of Technology, Lanzhou, 730050, P.R.China

author

Yongda Li

• School of Science, Changchun University of Science and Technology, Changchun, 130022, P.R.China

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Identifiers

DOI

10.2478/s11534-008-0058-5