Abstract
In this paper, we analyze the classical capacity of the generalized Pauli channels generated via memory kernel master equations. For suitable engineering of the kernel parameters, evolution with non-local noise effects can produce dynamical maps with a higher capacity than a purely Markovian evolution. We provide instructive examples for qubit and qutrit evolution. Interestingly, similar behavior is not observed when analyzing time-local master equations.
Highlights
We analyze how the classical capacity of the generalized Pauli channels changes in time for the evolution generated by Equation (21) with the memory kernel
We analyzed the classical capacity of generalized Pauli channels generated via memory kernel master equations
We compared the evolution of channel capacity for the Markovian semigroup and for the dynamical map generated via a memory kernel that is a sum of the Markovian part and the noise part
Summary
Removing errors is only one way to deal with undesirable effects of environmental noise on quantum systems Another approach to the problem is, instead of reducing the noise, using it to one’s advantage. This perception of the role of environmental noise was popularized by the observation that dissipation can be used to enhance quantum information processing [5]. The memory effects caused by environmental noise have been used for performing quantum information processing tasks, such as improving channel fidelity or preserving quantum entanglement [9]. We present a class of quantum evolution where the generator L(t) is time-local This implies that improving the channel capacity is possible for the Markovian semigroup but for general Markovian dynamics
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