Genuine entanglement under squeezed generalized amplitude damping channels with memory

We study genuine entanglement among three qubits undergoing a noisy process that includes dissipation, squeezing,and decoherence. We obtain a general solution and analyze the asymptotic quantum states. We find that most of these asymptotic states can be genuinely entangled depending upon the parameters of the channel, memory parameter, and the parameters of the initial states. We study Greenberger–Horne–Zeilinger(GHZ) states and W states, mixed with white noise,and determine the conditions for them to be genuinely entangled at infinity. We find that for these mixtures, it is possible to start with a bi-separable state(with a specific mixture of white noise) and end with genuine entangled states. However, the memory parameter μ must be very high. We find that in contrast to the two-qubit case, none of the three-qubit asymptotic states for n → ∞ are genuinely entangled.

Comments on “Distillability sudden death in qutrit qutrit systems under thermal reservoirs”

In a recent paper （2012 Chin. Phys. B 21 084205）, the authors studied the problem of distillability sudden death. We find that their equation of motion is incorrect and consequently the rest of the paper is wrong. Even apart from starting with a wrong equation of motion, their description of the phenomenon of distillability sudden death is totally misleading and needs to be rectified. To this aim, we show that certain initially prepared free-entangled states become bound-entangled in a finite time under thermal reservoirs. Moreover, in contrast with zero-temperature reservoirs, simple local unitary transformations cannot completely avoid distillability sudden death.

Robustness of Genuine Tripartite Entanglement under Collective Dephasing

We study the robustness of genuine multipartite entanglement for a system of three qubits under collective dephasing. Using a computable entanglement monotone for multipartite systems, we find that almost every state is quite robust under this type of decoherence. We analyze random states and weighted graph states at infinity and find all of them to be genuinely entangled.

Termites Improve the Horizontal Movement of Carbonized Particles:A Step towards Sustainable Utilization of Biochar

Soil amendments containing carbonized materials increase the soil carbon reservoir,influence plant productivity,and,ultimately,help to clean the environment.There is data on the effect of such additions on soil physicochemical properties or plant growth,but few studies have focused on how these carbonized materials are distributed by termite species in the soil ecosystem.It is the first comprehensive study of the transportation of biochar(BC)by termite species under tropical environmental conditions in Pakistan.The present study was carried out to test the hypothesis that if termite species I)were involved in the distribution of biochar particles II)if yes,then how far these particles were transported during the study period(10 days)and III)check their preference between the enriched BC(EBC)and non-enriched BC.BC was enriched with the cattle slurry after its pyrolysis in the study.The results showed that EBC particles were significantly more widely distributed than non-enriched BC particles,but both types of BC were transported more than 4 cm(ring 4)within 10 days(at the end of the experiment).The current study also revealed that EBC was easily attached to the setae,cuticle,and legs of termites,implying that it could potentially be transported over a greater distance.Furthermore,transportation of EBC over larger distances indicated a potential preference of termite species between the EBC and BC particles.During the study,however,the preference among the termite species was also observed.Under the prevailing study conditions,the Coptotermes heimi and Heteroterme indicola species transported the EBC further than Microtermes obesi and Odontotermes obesus.These findings revealed that transportation preferences were observed among the four termite species.In conclusion,the current study found that termites were involved in the distribution of BC particles,with a preference for EBC and that these have the potential to transport BC particles more than 4 cm within 10 days.Furthermore,two species Coptotermes heimi and Heteroterme indicola may be more suitable candidates for EBC transpiration in Pakistani soils.It was necessary to conduct additional research into the effect of temperature on the transportation process.

Decoherence of genuine multipartite entanglement for local non-Markovian–Lorentzian reservoirs

We study decoherence effects on genuine multipartite entanglement for three and four qubits, spatially separated and subjected to local Lorentzian reservoirs. Employing recent techniques to compute genuine negativity for multipartite systems and an exact solvable model, we analyze the dynamics of genuine entanglement for different coupling bandwidths and detunings. We find that collapses and revivals can occur by varying these parameters for various multipartite quantum states.

Generating genuine multipartite entanglement via XY-interaction and via projective measurements

We have studied the generation of multipartite entangled states for the superconducting phase qubits. The experiments performed in this direction have the capacity to generate several specific multipartite entangled states for three and four qubits. Our studies are also important as we have used a computable measure of genuine multipartite entanglement whereas all previous studies analyzed certain probability amplitudes. As a comparison, we have reviewed the generation of multipartite entangled states via von Neumann projective measurements.