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arXiv:2203.13780 · Journal of the Optical Society of America B

Detraction of decoherence that arises from the acceleration process

Mahmoud Youssef Abd‐Rabbou, S. I. Ali, NASSER METWALLY

Published Jan 18, 2023• 13 citations
arXivHTMLPDF

Abstract

The possibility of detracting decoherence due to the acceleration process of the two-qutrit system was investigated, where we examined the behavior of relative entropy and non-local information. For this purpose, accelerated subsystems are allowed to pass through local or global noisy channels. It is shown that the detraction potential depends on the type of used noisy channel, local or global, and the initial settings of the accelerated qutrit systems, whether prepared in free or bound entangled intervals. The improvement rate depicted for systems prepared in free entangled intervals is much better than those prepared in bound entangled intervals. The maximum bounds of non-local information in the presence of amplitude damping channels are larger than those passed in the dephasing channel.

DOI
10.1364/josab.477867

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The possibility of detracting decoherence due to the acceleration process of the two-qutrit system was investigated, where we examined the behavior of relative entropy and non-local information. For this purpose, accelerated subsystems are allowed to pass through local or global noisy channels. It is shown that the detraction potential depends on the type of used noisy channel, local or global, and the initial settings of the accelerated qutrit systems, whether prepared in free or bound entangled intervals. The improvement rate depicted for systems prepared in free entangled intervals is much better than those prepared in bound entangled intervals. The maximum bounds of non-local information in the presence of amplitude damping channels are larger than those passed in the dephasing channel.
Abstract The effects of noisy channels on the quantum Fisher information, channel capacity and non-local information of an accelerated qubit–qutrit system are discussed. Different phenomena are predicted for all these physical quantities, namely sudden/gradual and frozen behaviors. It is shown that the channel strength plays the central role in frozen behavior for all the noisy channels considered. The decay/increase rate depends on which subsystem is accelerated (qubit or qutrit). The frozen areas of these quantities are depicted at different ranges of channel strength and initial input. The maximum/minimum bounds of the estimation degree of the considered quantities depend on the used noisy channel and the dimensions of the accelerated subsystem.
Protecting the accelerated information coherence and suppressing of its decay due to the acceleration is achieved by using different noisy channels. The behavior of three different types of information; Fisher, nonlocal and local information of qubit–qutrit system is discussed. It is shown that, the estimation rate of the acceleration parameter is maximized if both subsystems are accelerated and interacted locally with their noise channels. However, if the largest subsystem is accelerated, then the estimation rate is minimized. The rate of change of the nonlocal information depends on which subsystem is accelerated. The results display that the local information is almost unaltered during the acceleration process, that is, the information is frozen. We show that the phase-flip channel represents the weak channel, where its suppressing of the decay due to the acceleration is smaller than the dephasing and depolarize of channels.
The possibility of recovering and protecting the entanglement of accelerated 2-qubit and 2-qutrit systems is discussed using weak-reverse measurements. The accelerated partial entangled states are more responsive to be protected than the accelerated maximum entangled states. The accelerated coded local information in qutrit system is more robust than that encoded in a 2-qubit system, and it can be conserved even for larger values of accelerations. Meanwhile, the non-accelerated information in qubit system is not affected by the local operation compared with that depicted on qutrit system. For larger values of accelerations, the weak-reverse measurements can improve the coherent information at the expanse of the accelerated information.
In this paper, an accelerated two-qubit system initially prepared in maximum or partial entangled state, which interacts locally with white/color or white-color noises, is considered. Due to the acceleration process and the noise effect, the entanglement degraded. Therefore, the effect of noise strength, initial state settings and the acceleration on the survival entanglement are investigated by means of the concurrence. Moreover, the initial parameters that describe this system are estimated by using the quantum Fisher information, where two forms are considered, namely by using a single and two-qubit forms. It is shown that, by using the two-qubit form, the estimation degree of these parameters is larger than that displayed by using a single-qubit form.
In order to study the decoherence process of quantum system and find the ways to delay it, in this paper we investigate the decoherence process under correlated depolarizing channels by calculating the evolution of norm coherence, relative entropy coherence and basis-independent coherence of the three initial states: special initial state, maximum coherent state and isotropic state. From the analytic results, numerical results and evolution images, it can be found that 1) completely correlated channels can suppress decoherence to a greatest extent,. 2) the time point at which maximum decoherence occurs is irrelevant to the degree of correlation, but system’s decoherence evolution behavior depends on it. 3)the correlation of depolarizing channels can reinforce the collective quantum coherence between subsystems, and an inequality relation of basis-independent coherence is proved in this system.
Recently it has been discovered that certain two-qutrit entangled states interacting with global and/or multi-local decoherence undergo distillability sudden death (DSD). We investigate this phenomenon for qutrit–qutrit systems interacting with statistically independent zero-temperature reservoirs. We show that certain initially prepared free-entangled states become bound-entangled in a finite time due to the action of a Markovian dissipative environment. As there is no definitive criterion for separability/entanglement of density matrices with dimension greater than 6, therefore we believe that the results obtained in this paper are restricted to a specific family of states considered here. Moreover, in contrast to local dephasing, simple local unitary transformations can completely avoid distillability sudden death under amplitude damping.