Proposed by Wolfgang Pauli more than 80 years ago, the exclusion principle has been proven to have a far-reaching consequence, from femtoscopic world to macroscopic, super-dense, and fully relativistic physics. Starting from this principle, we discuss two interesting research topics, which have currently drawn considerable attention in the nuclear-and astrophysics communities; the hypernuclear ...

In this paper, we study the influence of quantum effects to chaotic dynamics, especially the influence of Pauli effect and dynamical symmetry breaking to dynamical chaos. We apply the semiquantal theory to the Sp(6) fermion symmetry model in nuclear collective motion. We demonstrate that quantum chaos appear when dynamical symmetry is broken. We further find that the dynamical Pauli effect enha...

In many physically realistic models of quantum computation, Pauli exchange interactions cause a subset of 2-qubit errors to occur as a first-order effect of couplings within the computer, even in the absence of interactions with the computer's environment. We give an explicit 9-qubit code that corrects both Pauli exchange errors and all 1-qubit errors.

A comprehensive graph theoretical and finite geometrical study of the commutation relations between the generalized Pauli operators of N -qudits is performed in which vertices/points correspond to the operators and edges/lines join commuting pairs of them. As per two-qubits, all basic properties and partitionings of the corresponding Pauli graph are embodied in the geometry of the generalized q...

A unified framework is proposed in this paper for parameter estimation using convex optimization and experiment design applying convex maximization for Pauli channels, that can be extended to generalized Pauli channels, too. In the case of known channel directions, an affine parametrization of the Choi matrix turns the LS parameter estimation into a convex optimization problem also for the gene...

The manipulation and readout of spin qubits in quantum dots have been successfully achieved using Pauli blockade, which forbids transitions between spin-triplet and spin-singlet states. Compared with spin qubits realized in III-V materials, group IV materials such as silicon and carbon are attractive for this application because of their low decoherence rates (nuclei with zero spins). However, ...

The Pauli principle, QRPA and the two-neutrino double beta decay * Abstract We examine the violation of the Pauli exclusion principle in the Quasipar-ticle Random Phase Approximation (QRPA) calculation of the two-neutrino double beta decay matrix elements, which has its origin in the quasi-boson approximation. For that purpose we propose a new renormalized QRPA with proton-neutron pairing metho...

A puzzling discrepancy exists between the values of proton charge radius obtained using different experimental techniques: elastic electron-proton scattering and spectroscopy electronic muonic hydrogen. The is defined through slope electric form factor, $G_E(Q^2)$, at zero four-momentum transfer, which inaccessible in experiments. We propose a novel method for extracting from data over broad $Q...