We report about recent results obtained for the muon anomalous magnetic moment. Three-loop kernel functions have been computed to obtain the next-to-next-to-leading-order hadronic vacuum polarization contributions. The numerical result, a had,NNLO μ = 1.24± 0.01× 10−10, is of the same order of magnitude as the current uncertainty from the hadronic contributions. For heavylepton corrections, ana...

We study the spatial inhomogeneity of the Polyakov loop induced by inhomogeneous chiral condensates. We formulate an effective model of gluons on the background fields of chiral condensates, and perform its lattice simulation. On the background of inhomogeneous chiral condensates, the Polyakov loop exhibits an in-phase spatial oscillation with the chiral condensates. We also analyze the heavy q...

In this paper, we will introduce the notion of conjugate phase retrieval, which is a relaxed definition of phase retrieval allowing recovery of signals up to conjugacy as well as a global phase factor. It is known that frames of real vectors are never phase retrievable on C in the ordinary sense, but we show that they can be conjugate phase retrievable in complex vector spaces. We continue to d...

When the Grover’s algorithm is applied to search an unordered database, the successful probability usually decreases with the increase of marked items. In order to solve this problem, an adaptive phase matching is proposed. With application of the new phase matching, when the fraction of marked items is greater   3 5  8 , the successful probability is equal to 1 with at most two Grover itera...

This paper presents an all-digital phase-locked loop (PLL) using a voltage-domain digitization realized by an analog-to-digital converter (ADC). It consists of an 18b Class-C digitally-controlled oscillator (DCO), 4b comparator, digital loop filter (DLF), and frequency-locked loop (FLL). Implemented in 65nm CMOS technology, the proposed PLL reaches an in-band phase noise of -112dBc/Hz and an RM...

The additive noise response of a charge pump phase-locked loop in the synchronous mode of operation has been studied. In order to determine the tracking and noise performances of the loop, mean square values of tracking error and local oscillator phase jitter have been analytically obtained. Analytical results agree well with the simulation results obtained here and elsewhere [3]. The analysis ...

Surface pressure and fluorescence intensity of pheophytin containing lipid-monolayers are measured simultaneously at the air-water interface. A phase separation into two distinct phases is reported. Phase 1 exists of pheophytin domains whereas phase 2 is a lipid domain containing pheophytin in molar content between 2 % and 15 %, depending on the state of the lipid. The transition of the pheophy...

A variable phase shifter using a movable waffle iron metal plate comprised of iron rods a quarter-wavelength in length is proposed. A study of the waffle iron structure was carried out and the design method for creating a structure that would achieve large phase changes, small loss, and good isolation between adjacent phase shifters is discussed. Experiments on 1-port and 2-port phase shifters ...

The calculation of exclusive observables beyond the one-loop level requires elaborate techniques for the computation of multi-leg two-loop integrals. We discuss how the large number of different integrals appearing in actual two-loop calculations can be reduced to a small number of master integrals. An efficient method to compute these master integrals is to derive and solve differential equati...