Privacy amplification of entanglement parametric-down conversion based quantum key distribution via quantum logistic map for photon bases choice

Tchoffo, Martin; Tene, Alain Giresse

doi:10.1016/j.chaos.2020.110110

Cited by 11 publications

(2 citation statements)

References 44 publications

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“…with the indices p and q denoting respectively the photons mode as previously mentioned which also define their polarization orientation that may be horizontal or vertical. Thus, the degenerated Hamiltonian can be rewritten taking into consideration the above assumptions as [50]:…”

Section: Spdc Entangled Photons Source Hamiltonianmentioning

confidence: 99%

Security and communication distance improvement in decoy states based quantum key distribution using pseudo-random bases choice for photon polarization measurement

Tchoffo

Tene

2021

Opt Quant Electron

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This paper proposes a new quantum key distribution(QKD) protocol, namely the pseudo-random bases entangled photon based QKD (PRB-EPQKD) protocol. The latest mainly focuses on three properties, including the security of the protocol, the secure key size and the maximum communication distance between legitimate communication users (Alice and Bob). To achieve this, we first consider a spontaneous-parametric-down (SPDC) photon source located in a low-earth-orbit (LEO) type satellite capable of producing and distributing entangled photons pairs to Alice and Bob. Secondly, we assume that Alice's and Bob's photons state measurement bases are identically generated via a pseudo-random number generator (PRNG), namely the quantum logistic map (QLM). Finally, we also assume that in addition to their photons states, Alice and Bob intentionally share a set of decoy states at each pulse with randomly selected intensity, and with the goal to detect the presence of the eavesdropper (Eve). Under these considerations, the secure key rate upper bound is evaluated applying the Gottesman-Lo-Lutkenhaus-Preskill's (GLLP) formula, for two different implementations, namely the non-decoy states and the infinite active decoy states based QKD. It is observed a significant improvement in the secure key size and the communication distance as well, compared to existing protocols, since we realize that under daylight, downlinks satellite conditions, a kindly selected light source, and good crystal's properties, the maximum communication distance can reach up to 70000 km. In addition, using the combined type-I and type-II SPDC photons source as our entangled photons pairs generator, significantly improved the photon mean number and render our protocol more robust against photon number division attack and against attenuation-induced atmospheric propagation. Furthermore, the protocol is more secure as compared to existing ones, given that any eavesdropper must crack simultaneously the chaotic system used as PRNG and the QKD system, before getting any useful information as regards to the measurement bases used by Alice and Bob, and thus the secure key.

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Section: Spdc Entangled Photons Source Hamiltonianmentioning

confidence: 99%

Security and communication distance improvement in decoy states based quantum key distribution using pseudo-random bases choice for photon polarization measurement

Tchoffo

Tene

2021

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“…It is interesting that the logistic map has been extended into the quantum realm by deriving a logistic map with quantum corrections by coupling a kicked quantum system to a bath of harmonic oscillators [7]. In a new proposal for a quantum key distribution, the quantum logistic map is used as a pseudo-random number generator for photon polarization state measurement bases choice [8].…”

Section: Introductionmentioning

confidence: 99%

One-dimensional Dynamics for a Discontinuous Singular Map and the Routes to Chaos

Alexanian¹

2022

AJP

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We visit a previously proposed discontinuous, two-parameter generalization of the continuous, one-parameter logistic map and present exhaustive numerical studies of the behavior for different values of the two parameters and initial points x0. In particular, routes to chaos exist that do not exhibit period-doubling whereas period-doubling is the sole route to chaos in the logistic map. Aperiodic maps are found that lead to cobwebs with x = ±∞ as accumulation points, where every neighborhood contains infinitely many points generated by the map.

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The Study of Synchronization in Quantum Key Distribution System

Pljonkin

Singh

Joshi

et al. 2021

Communications in Computer and Information Science

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Privacy amplification of entanglement parametric-down conversion based quantum key distribution via quantum logistic map for photon bases choice

Cited by 11 publications

References 44 publications

Security and communication distance improvement in decoy states based quantum key distribution using pseudo-random bases choice for photon polarization measurement

Security and communication distance improvement in decoy states based quantum key distribution using pseudo-random bases choice for photon polarization measurement

One-dimensional Dynamics for a Discontinuous Singular Map and the Routes to Chaos

The Study of Synchronization in Quantum Key Distribution System

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