Quantum steering for two-mode states with Continuous-variable in laser channel
arxiv(2023)
摘要
The Einstein-Podolsky-Rosen steering is an important resource for one-sided
device independent quantum information processing. This steering property will
be destroyed during the interaction between quantum system and environment for
some practical applications. In this paper, we use the representation of
characteristic function for probability to examine the quantum steering of
two-mode states with continuous-variable in laser channel, where both the gain
factor and the loss effect are considered. Firstly, we analyse the steering
time of two-mode squeezed vacuum state under one-mode and two-mode laser
channel respectively. We find the gain process will introduce additional noise
to the two-mode squeezed vacuum state such that the steerable time is reduced.
Secondly, by quantising quantum Einstein-Podolsky-Rosen steering, it shows that
two-side loss presents a smaller steerability than one-side loss although they
share the same two-way steerable time. In addition, we find the more gained
party can steer the others state, while the other party cannot steer the gained
party in a certain threshold value. In this sense, it seems that the gain
effect in one party is equivalent to the loss effect in the others party. Our
results pave way for the distillation of Einstein-Podolsky-Rosen steering and
the quantum information processing in practical quantum channels.
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