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Wald-Wolfowitz Runs Test II

Wald-Wolfowitz Runs Test II

The Wald-Wolfowitz runs test, commonly referred to as the runs test, is a nonparametric test used to assess the randomness of ordered data. The test evaluates the number of runs, which are consecutive sequences of similar elements within the data. If the number of runs is significantly higher or lower than expected, the data is considered non-random, indicating a detectable pattern or structure.
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and 0s. In...

Wald-Wolfowitz Runs Test I

Wald-Wolfowitz Runs Test I

The Wald-Wolfowitz test, also known as the runs test, is a nonparametric statistical test used to assess the randomness of a sequence of two different types of elements (e.g., positive/negative values, successes/failures). It examines whether the order of the elements in a sequence is random or if there is a pattern or trend present. This nonparametric test applies to any ordered data despite the population and sample data distribution, even if a higher sample size is available.
The test works...

BIBO stability of continuous and discrete -time systems

BIBO stability of continuous and discrete -time systems

System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.

Continuous -time Fourier Transform

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...

Basic Continuous Time Signals

Basic Continuous Time Signals

Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...

Continuous Charge Distributions

Continuous Charge Distributions

Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...

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Related Experiment Videos

Field test of classical symmetric encryption with continuous variables quantum key distribution.

Paul Jouguet¹, Sébastien Kunz-Jacques, Thierry Debuisschert

¹SeQureNet, 23 avenue d’Italie, 75013 Paris, France. paul.jouguet@telecom-paristech.fr

|June 21, 2012

Summary

Continuous Variable Quantum Key Distribution (CVQKD) enabled secure point-to-point encryption with rapid key renewal. This system demonstrated reliable, long-term operation in a server room, highlighting CVQKD

Related Experiment Videos

Area of Science:

Quantum Information Science
Cybersecurity
Applied Physics

Background:

Classical symmetric encryption relies on secure key exchange.
Quantum Key Distribution (QKD) offers a physically secure method for key exchange.
Continuous Variable QKD (CVQKD) is a promising QKD protocol.

Purpose of the Study:

To design and evaluate a point-to-point classical symmetric encryption link utilizing CVQKD.
To assess the performance and reliability of a CVQKD system over an extended period.
To demonstrate the feasibility of CVQKD for practical information technology security.

Main Methods:

Implementation of a point-to-point communication link.
Integration of a Continuous Variable Quantum Key Distribution (CVQKD) system for key renewal.
Long-term field testing of the system's operational stability and encryption performance.

Main Results:

The CVQKD system successfully provided fast key renewal for symmetric encryption.
The system maintained continuous operation for over six months (July 2010 - February 2011).
The field test was the first long-term demonstration of CVQKD reliability in a server room environment.

Conclusions:

CVQKD systems are reliable for long-term deployment in practical environments.
The demonstrated system strengthens the potential of CVQKD for securing information technology infrastructure.
CVQKD is a viable technology for enhancing cybersecurity.