Quantum key distribution is the process of using quantum communication to establish a shared key between two parties. It has been demonstrated the unconditional security and effective communication of quantum communication system can be guaranteed by an excellent Gaussian random number (GRN) generator ...
distributed random numbers. There are many ways of solving this problem (see for exampleRubinstein, 1981, for an extensive discussion of this topic) but we will only go into one important method here. If we have an equation that describes our desired distribution function, then it is possible ...
multivariate gaussian distributionrandom numbersFPGAresource constraintFinancial applications are one of many fields where a multivariate Gaussian random number generator plays a key role in performing computationally extensive simulations. Recent technological advances and today's requirements have led to the ...
We start with two independent random numbers, x1 and x2, which come from a uniform distribution (in the range from 0 to 1). Then apply the above transformations to get two new independent random numbers which have a Gaussian distribution with zero mean and a standard deviation of one. ...
cdf(x): the cumulative distribution function, which describes the probability of a random variable falling in the interval (−∞,x] ppf(x): the percent point function, the inverse ofcdf Combination Functions mul(d): returns the product distribution of this and the given distribution; equivalen...
normal distribution n (Statistics) statistics a continuous distribution of a random variable with its mean, median, and mode equal, the probability density function of which is given by (exp-[(x–μ)2/2σ2]/σ√(2π)) where μ is the mean and σ2 the variance. Also called: Gaussian...
in this work exploits the same principle but relies on a single LFSR and ad-hoc permutations of its bits to obtain an accurate approximation of a Gaussian distribution with low maximum autocorrelation, leading to a very low complexity implementation of a Gaussian pseudo-random number generator. ...
measurement taken at random from a Gaussian pdf will be more than ± 3s from the true mean of the distribution. l The total area under the curve is normalized to one. + the probability integral: l We often talk about a measurement being a certain number of standard deviations (s) away ...
posint, number of samples mean - realcons, mean of the Gaussian distribution stddev - realcons, standard deviation of the Gaussian distribution Options • container :Array, predefined Array for holding results • seed :nonnegint, seed for the pseudo-random number generator ...
This paper shows that the hardware implementation of the Tausworthe generator is fast and has small area; furthermore, it has superior performance when evaluated using the DIEHARD random number test suite. ? We propose an on-chip χ2 test circuit which allows the distribution of random numbers ...