Direct sampling of the Susskind-Glogower phase distributions

Direct sampling of the Susskind–Glogower phase distributions

Coarse-grained phase distributions are introduced that approximate to the Susskind–Glogower cosine and sine phase distributions. The integral relations between the phase distributions and the phase-parametrized fieldstrength distributions observable in balanced homodyning are derived and the integral kernels are analyzed. It is shown that the phase distributions can be directly sampled from the...

Dual eigenkets of the Susskind-Glogower phase operator.

The phases of optical fields play the decisive role in many optical phenomena, particularly in diffraction and interference of light. Therefore much attention has been paid to the problem of defining and measuring an appropriate phase for radiation fields @1–3#. There are quite a few ways to propose phase operators. For example, Paul @4# defined the phase operator by the diagonal coherent state...

Sampling Distributions Sampling Distributions

Sampling and Sampling Distributions

A sample is a group of objects or readings taken from a population for counting or measurement. We shall distinguish between two kinds of populations — finite populations and infinite populations. The sample must be random, meaning that all possible samples of a particular size must have equal probabilities of being chosen from the population. This will prevent bias in the sampling process. Mos...

Classification and properties of acyclic discrete phase-type distributions based on geometric and shifted geometric distributions

Acyclic phase-type distributions form a versatile model, serving as approximations to many probability distributions in various circumstances. They exhibit special properties and characteristics that usually make their applications attractive. Compared to acyclic continuous phase-type (ACPH) distributions, acyclic discrete phase-type (ADPH) distributions and their subclasses (ADPH family) have ...