Inseparability Criterion for Continuous Variable Systems

1999/08/31 by L.-M. Duan, Lu-Ming Duan, G. Giedke +2 · 15 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physrevlett.84.2722

published as Phys. Rev. Lett. 84, 2722 (2000) · minor changes in the introduction and refs

openalex publication_date 2000/03/20 · arxiv created 2000/03/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

An inseparability criterion based on the total variance of a pair of Einstein-Podolsky-Rosen type operators is proposed for continuous variable systems. The criterion provides a sufficient condition for entanglement of any two-party continuous variable states. Furthermore, for all Gaussian states, this criterion turns out to be a necessary and sufficient condition for inseparability.

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Teleportation of quantum states
• Separability Criterion for Density Matrices
• Unconditional Quantum Teleportation
• Teleportation of Continuous Quantum Variables
• Separability of mixed states: necessary and sufficient conditions
• Quantum Computation

Cited by

• Computing quantum discord is NP-complete
• Quantum mechanics–free subsystem with mechanical oscillators
• Characterizing Entanglement via Uncertainty Relations
• Peres-Horodecki Separability Criterion for Continuous Variable Systems
• Violation of local uncertainty relations as a signature of entanglement
• Entropic uncertainty relations and entanglement
• Bound Entangled Gaussian States
• Inseparability Criteria for Continuous Bipartite Quantum States
• Entropic Entanglement Criteria for Continuous Variables
• Generalized concurrence measure for faithful quantification of multiparticle pure state entanglement using Lagrange’s identity and wedge product
• Entanglement between distant macroscopic mechanical and spin systems
• Generalized entanglement measure for continuous-variable systems
• Direct observation of deterministic macroscopic entanglement
• Entanglement criteria via concave-function uncertainty relations
• Quantum entanglement [wikipedia]