Sentence examples for generalized measurements from inspiring English sources
In Proposition 1, the sensors exchange their local measures {y n (k)} k with neighboring nodes in order to obtain a consensus on the desired generalized measurements ({ mathcal {R}(k) }_{k}).
In Proposition 2 of [36], it is shown that the generalized measurements of the field induced by (36) is given by mathcal{R}(k) = sum_{m=1}^{M} c'_{m} e^{-k left xi_{1,m} + mathrm{j} xi_{2,m}right)},, k=0,1,ldots,K (37).
In what follows, we provide an overview for the centralized recovery of diffusion fields as proposed in [36], wherein we demonstrate through the use of Green's second theorem that given access to some generalized measurements of the form mathcal{R} k)! = ! leftlangle Psi_{k}(mathbf{x}) Gamma(t), f rightrangle !
When using these quadrature techniques to obtain an approximation of the generalized measurements ({ mathcal {R} k)}_{k}), the performance of the centralized algorithm is near-optimal, in that it comes very close to achieving the Cramer-Rao bound (CRB) as shown in Fig. 10.
Quantum filtering theory as a fundamental theory in quantum optics, which was implicit in the work of Davies in the 1960s [1, 2] concerning open quantum systems and generalized measurement theory, and culminating in the general theory developed and initiated by Belavkin during the 1980s [3 5].
A suitable generalized measurement described by a 4-element positive operator-valued measure (POVM) on each particle of a two-qubit system in the singlet state is, from the point of view of Einstein, Podolsky, and Rosen's (EPR's) criterion of elements of reality, equivalent to a random selection between two alternative projective measurements.
However, we added six more generalized measurement indicators.
Table 7 Indicators for the FM of face and incremental generalized measurement indicators Dimensions Indicators Description Morality-oriented face FMF1 I behave indecently in public.
As well, following Diamantopoulos and Winklhofer (2001) and MacKenzie et al. (2005), we brought in six generalized measurement indicators for the overall concept and dimensions of face.
Indeed, a generalized measurement framework would be an extremely useful tool in the hands of managers and would allow them to monitor and evaluate their innovation processes, diagnose weaknesses and limitations, and prescribe remedies (Adams et al. 2006; Cebon and Newton 1999).
Such an approach is used in ratiometric or generalized polarization measurements [ 30, 32, 33].
