In the present report we discuss measures of classicality/quantumness of states of finite-dimensional quantum systems, which are based on a deviation of quasiprobability distributions from true statistical distributions. Particularly, the dependence of the global indicator of classicality on the assigned geometry of a quantum state space is analysed for a whole family of Wigner quasiprobability representations. General considerations are exemplified by constructing the global indicator of classicality/quantumness for the Hilbert-Schmidt, Bures and Bogoliubov-Kubo-Mori ensembles of qubits and qutrits.
Abstract. The generation of random mixed states is discussed, aiming for the computation of probabilistic characteristics of composite finite dimensional quantum systems. In particular, we consider the generation of random Hilbert-Schmidt and Bures ensembles of qubit and qutrit pairs and compute the corresponding probabilities to find a separable state among the states of a fixed rank.
In this report we are aiming at introducing a global measure of non-classicality of the state space of N -level quantum systems and estimating it in the limit of large N . For this purpose we employ the Wigner function negativity as a non-classicality criteria. Thus, the specific volume of the support of negative values of Wigner function is treated as a measure of non-classicality of an individual state. Assuming that the states of an N -level quantum system are distributed by Hilbert-Schmidt measure (Hilbert-Schmidt ensemble), we define the global measure as the average non-classicality of the individual states over the Hilbert-Schmidt ensemble. We present the numerical estimate of this quantity as a result of random generation of states, and prove a proposition claiming its exact value in the limit of N → ∞.
The \triangledown \cdot \skew2\vec{E} term does not change the Aharonov--Casher scattering cross section M S Shikakhwa and E Al-Qaq -Perturbative effects of spinning black holes in the extreme mass-ratio limit Hiroyuki Nakano, Manuela Campanelli, Carlos O Lousto et al. Abstract. The quantum and classical dynamics of a charged, spin-1/2 particle interacting with a strong laser, modeled by the elliptically polarized monochromatic electromagnetic plane wave, is considered in the semi-classical approach. The charge interaction with a high intensity radiation is described classically without using of the dipole approximation. The particle's spin evolution is treated according to the Pauli equation with relativistic corrections caused by the laser intensity. The resonance character of transitions between spin-1/2 states for certain regimes of intensities and values of polarization is described.
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