Distribution of continuous-variable entanglement by separable Gaussian states

2008/04/24 by Ladislav Mišta, Ladislav Mišta, Jr., Natalia Korolkova
Computer Science · Mathematics · Physics and Astronomy · #Continuous variable #Distribution (mathematics) #Gaussian #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Separable space #Separable state #Statistical physics #Statistics #Variable (mathematics) #quant-ph

paper · pdf · doi:10.1103/physreva.77.050302

arxiv created 2008/04/24 · openalex publication_date 2008/05/07 · arxiv updated 2012/08/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Entangling two systems at distant locations using a separable mediating ancilla is a counterintuitive phenomenon proposed for qubits by T. Cubitt et al. [Phys. Rev. Lett. 91, 037902 (2003)]. We show that such entanglement distribution is possible with Gaussian states, using a certain three-mode fully separable mixed Gaussian state and linear optics elements readily available in experiments. Two modes of the state become entangled by sequentially mixing them on two beam splitters, while the third one remains separable in all stages of the protocol.

Citations

• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Bound Entangled Gaussian States
• Separability Criterion for Density Matrices
• Quantum cryptography based on Bell’s theorem
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Inseparability Criterion for Continuous Variable Systems
• Separability of mixed states: necessary and sufficient conditions
• Peres-Horodecki Separability Criterion for Continuous Variable Systems
• On the Quantum Correction For Thermodynamic Equilibrium