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Activation and superactivation of single-mode Gaussian quantum channels

Author(s)
Lim, Youngrong; Takagi, Ryuji; Adesso, Gerardo; Lee, Soojoon
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Abstract
Activation of quantum capacity is a surprising phenomenon according to which the quantum capacity of a certain channel may increase by combining it with another channel with zero quantum capacity. Superactivation describes an even more particular occurrence, in which both channels have zero quantum capacity, but their composition has a nonvanishing one. We investigate these effects for all single-mode phase-insensitive Gaussian channels, which include thermal attenuators and amplifiers, assisted by a two-mode positive-partial-transpose channel. Our result shows that activation phenomena are special but not uncommon. We can reveal superactivation in a broad range of thermal attenuator channels, even when the transmissivity is quite low, or the thermal noise is high. This means that we can transmit quantum information reliably through very noisy Gaussian channels with the help of another Gaussian channel, whose quantum capacity is also zero. We further show that no superactivation is possible for entanglement-breaking Gaussian channels in physically relevant circumstances by proving the nonactivation property of the coherent information of bosonic entanglement-breaking channels with finite input energy.
Date issued
2019-03
URI
https://hdl.handle.net/1721.1/121324
Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review A
Publisher
American Physical Society
Citation
Lim, Youngrong et al. "Activation and superactivation of single-mode Gaussian quantum channels." Physical Review A 99, 3 (March 2019): 032337 © 2019 American Physical Society
Version: Final published version
ISSN
2469-9926
2469-9934

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