We study the convex combinations of $(d+1)$ generalized Pauli dynamical maps in a Hilbert space dimension $d$. For certain choices decoherence function, are noninvertible and they remain under as well. case characterized by function $(1-e^{-ct})/n$ with parameter $n$ decay factor $c$, we evaluate fraction invertible obtained upon mixing, which is found to increase superexponentially

Quantum transmission rate may be improved by using input of entangled state instead of product state for Pauli channel. Using GHZ state as input for the depolarizing channel (a special Pauli channel), the channel fidelity of non-zero quantum capacity was improved from > 0.81071 to > 0.80944. We will introduce orthogonal and complete code basis to evaluate the coherent information per channel us...

Three time series of quad-polarization RADARSAT-2 images have been acquired from transplanting to harvesting of rice crop. Ground truth data such as rice height and biomass etc. were measured during acquisition of RADARSAT-2 data in Hainan province, southern China. Among different observations, dry biomass and fresh biomass of rice crop have shown a temporal signature with a clear correlation w...

A recent application of an index relation of the form, dim ker M − dim ker M † = ν, to the generation of chiral fermions in a vector-like gauge theory is reviewed. In this scheme the chiral structure arises from a mass term with a non-trivial index.The essence of the generalized Pauli-Villars reg-ularization of chiral gauge theory,which is based on this mechanism,is also clarified.

The two-dimensional Pauli Hamiltonian for an electron with spin 1/2 in a transverse magnetic field has the following property: addition of any doubly periodic (but not small) increment to the homogeneous field leaves the ground state, i.e., the lower Landau level, fully degenerate, despite the loss of symmetry, and is separated from the next levels by a finite gap (all the remaining levels spre...

We consider a (semi-)relativistic spin-1/2 particle interacting with quantized radiation. The Hamiltonian has the form Ĥ c := {c2[(p + A) +σ ·B] + (mc2)2}1/2 −mc2 +V +Hf . Assuming that the potential |V | is bounded with respect to the momentum |p|, we show that Ĥ c converges in norm-resolvent sense to the usual Pauli-Fierz operator when c, the speed of light, tends to ∞.

We calculate single pion production by neutrinos in the resonance region. We consider both charged and neutral current reactions on free protons and neutrons. We present differential and total cross sections which can be compared with experiments. Then we use these results to calculate the spectra of the emerging pions including the Pauli suppression factor and rescattering corrections for reac...

We investigate the current and noise characteristics of a double quantum dot system. The strong correlations induced by the Coulomb interaction and the Pauli principle create entangled twoelectron states and lead to signatures in the transport properties. We show that the interaction parameter φ, which measures the admixture of the double-occupancy contribution to the singlet state and thus the...

Quantum spin-flip transitions are of great importance in the synchrotron radiation (SR) theory. For better understanding of the nature of this phenomenon, it is necessary to except the effects connected with the electric charge radiation from observation. This fact explains the suggested choice of the spin-flip radiation model in the form of radiation of the electric neutral Dirac-Pauli particl...