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Distillation of mixed-state continuous-variable entanglement by photon subtraction

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van Loock,  Peter
van Loock Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Zhang, S. L., & van Loock, P. (2010). Distillation of mixed-state continuous-variable entanglement by photon subtraction. PHYSICAL REVIEW A, 82(6): 062316. doi:10.1103/PhysRevA.82.062316.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6A7D-C
Abstract
We present a detailed theoretical analysis for the distillation of one copy of a mixed two-mode continuous-variable entangled state using beam splitters and coherent photon-detection techniques, including conventional on-off detectors and photon-number-resolving detectors. The initial Gaussian mixed-entangled states are generated by transmitting a two-mode squeezed state through a lossy bosonic channel, corresponding to the primary source of errors in current approaches to optical quantum communication. We provide explicit formulas to calculate the entanglement in terms of logarithmic negativity before and after distillation, including losses in the channel and the photon detection, and show that one-copy distillation is still possible even for losses near the typical fiber channel attenuation length. A lower bound for the transmission coefficient of the photon-subtraction beam splitter is derived, representing the minimal value that still allows to enhance the entanglement.