Quantum-chaotic key distribution in optical networks: from secrecy to implementation with logistic map

Nascimento, José Cláudio do; Damasceno, R. L. C.; Oliveira, G. L. de; Ramos, Rubens Viana

doi:10.1007/s11128-018-2097-1

Cited by 13 publications

(2 citation statements)

References 25 publications

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“…The logistic differential equation and the logistic function may be useful to study some aspects of the COVID-19 pandemic as indicated in [11,12], or to improve growth models [13]. Also in economics [14,15], since the logistic differential equation describes the natural growth in the absence of competition, as well as in data security in optical networks [16].…”

Section: Introductionmentioning

confidence: 99%

Power series solution of the fractional logistic equation

Area

Nieto

2021

Physica A: Statistical Mechanics and its Applications

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Section: Introductionmentioning

confidence: 99%

Power series solution of the fractional logistic equation

Area

Nieto

2021

Physica A: Statistical Mechanics and its Applications

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“…Although chaotic QKD has been shown to be an improvement over the BB84 protocol, its advantage over other chaotic cryptography schemes has not been discussed. One of the major problems with chaotic cryptography is that it is vulnerable to dependencies in the dynamic system [25]. This in-part comes from the parameter selection in the dynamic equations [26].…”

Section: Amentioning

confidence: 99%

Chaotic Quantum Key Distribution

2020

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The ability to send information securely is a vital aspect of today’s society, and with the developments in quantum computing, new ways to communicate have to be researched. We explored a novel application of quantum key distribution (QKD) and synchronized chaos which was utilized to mask a transmitted message. This communication scheme is not hampered by the ability to send single photons and consequently is not vulnerable to number splitting attacks like other QKD schemes that rely on single photon emission. This was shown by an eavesdropper gaining a maximum amount of information on the key during the first setup and listening to the key reconciliation to gain more information. We proved that there is a maximum amount of information an eavesdropper can gain during the communication, and this is insufficient to decode the message.

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A new representation for the solution of the Richards‐type fractional differential equation

EL‐Fassi,

Nieto,

Onitsuka

2024

Math Methods in App Sciences

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Richards in [35] proposed a modification of the logistic model to model growth of biological populations. In this paper, we give a new representation (or characterization) of the solution to the Richards‐type fractional differential equation for , where is a continuously differentiable function on and is a positive real constant. The obtained representation of the solution can be used effectively for computational and analytic purposes. This study improves and generalizes the results obtained on fractional logistic ordinary differential equation.

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Quantum-chaotic key distribution in optical networks: from secrecy to implementation with logistic map

Cited by 13 publications

References 25 publications

Power series solution of the fractional logistic equation

Power series solution of the fractional logistic equation

Chaotic Quantum Key Distribution

A new representation for the solution of the Richards‐type fractional differential equation

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