Abstract
A squeezed generalized amplitude damping (SGAD) channel is a quantum channel that models a general noise process incorporating the effects of bath squeezing, dissipation, and decoherence. In this paper, we analyze the dynamics of quantum entanglement and discord in the SGAD channel with memory. By obtaining a stochastic map defining this noisy quantum channel, we derive the concurrence and discord of Werner-like mixed states sent by successive uses of the channel. It is shown that these quantum correlations can be preserved or even generated depending on the initial channel input states, channel parameters, and the degree of channel memory. In particular, the squeezing effect does not contribute to the dynamics of quantum correlation for singlet-like states under correlated noise.
Highlights
An amplitude damping channel is a quantum channel that models a physical process such as spontaneous emission or energy dissipation at zero temperature14
Note that the squeezed generalized amplitude damping (SGAD) channel reduces to the generalized amplitude damping channel when m = 0 and further to the amplitude damping channel by setting n = m = 0
The aim of this paper is to analyze the dynamics of quantum correlation of Werner-like mixed states sent by two consecutive uses of the SGAD channel with memory
Summary
An amplitude damping channel is a quantum channel that models a physical process such as spontaneous emission or energy dissipation at zero temperature. A quantum noise process due to dissipative interactions with a purely thermal bath is modeled by a generalized amplitude damping channel, which is one of the most important quantum channels and describes the dissipation effect at finite temperature. A quantum noise process due to dissipative interactions with a purely thermal bath is modeled by a generalized amplitude damping channel, which is one of the most important quantum channels and describes the dissipation effect at finite temperature15 This noisy quantum channel is further extended to a squeezed generalized amplitude damping (SGAD) channel by taking into account a squeezed thermal bath. As n → ∞, Φ1(ρ) tends to a maximally mixed state
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