Transmissions of quantum entangled states in anisotropic depolarizing channels

Dehmani, Mustapha; Ez‐Zahraouy, H.; Benyoussef, A.

doi:10.1007/s10946-013-9326-y

Cited by 3 publications

(4 citation statements)

References 8 publications

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“…On the other hand, the effect of several cloning attack within a two-dimensional protocol was also investigated in [31], where the quantum key distribution of the well-known BB84 protocol with several eavesdropping cloning attacks was studied and the mutual information between honest parties and information for each eavesdropper was derived to show that the cloning attack's quantum error is lower than the intercept-resend attack's error. This means that the cloning attack is the optimum one for an arbitrary number of eavesdroppers.…”

Section: Discussionmentioning

confidence: 99%

“…This means that the cloning attack is the optimum one for an arbitrary number of eavesdroppers. Based on [30,31], we believe that it will be interesting to study the effect of several cloning attacks of cryptographic scheme based on encoding in d-dimensional Hilbert space where the sender uses M mutually unbiased bases to encrypt the data sent. This issue is under study and we hope to report on it in a forthcoming work.…”

Section: Discussionmentioning

confidence: 99%

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Quantum encoding based on optical phase states and mutually unbiased bases in the presence of several eavesdroppers

Daoud

Ez‐Zahraouy

2012

J Russ Laser Res

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We investigate quantum key distribution where information is carried by a d-level optical quantum system. The sender uses the mutually unbiased bases generated from the phase states of the quantum system. We consider the effects of several intercept and resend attacks. We derive explicitly the mutual information between the legitimate parties as well as the mutual information between the sender and the different eavesdroppers in the communication channel. We discuss the security of the cryptographic scheme and present some numerical analysis.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Quantum encoding based on optical phase states and mutually unbiased bases in the presence of several eavesdroppers

Daoud

Ez‐Zahraouy

2012

J Russ Laser Res

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“…It produces a decoherence phenomenon destroying the initial entanglement of the pair of photons AS. To model the atmosphere action, we use a generalized depolarizing quantum channel N defined by [24][25][26][27]:…”

Section: Propagation Modelmentioning

confidence: 99%

Quantum Illumination Radar Using Polarization States of Photons in Atmosphere: Quantum Information Approach

Borderieux,

Coatanhay,

Khenchaf

2023

PIER B

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The quantum illumination radar uses pairs of entangled photons to enhance the detection sensitivity of a reflecting target. In this paper, we worked on a quantum illumination radar using a pair of entangled photons in polarization in the microwave frequency range in the atmosphere. We studied the quantum information evolution modeling the propagation of a photon in the atmosphere while building two binary decision strategies for the QI radar. We focused on the quantum information evolution showing that the quantum discord representing quantum correlations beyond entanglement could represent an interesting resource to explore for the subject of quantum radar. In addition, we made an approximative estimation of the entanglement survival distance in the atmosphere. Results showed that an optimization should be found to favour the survival of quantum correlations or the signal-to-noise ratios calculated with the binary decision strategy.

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“…The cloning of sequences of qubits encoded in the same basis has been studied with the six-state BB84 protocols [6]. In a previous work, we have studied the quantum key distribution with several intercept and resend attacks [7] and several cloning attacks [8] but without taking into consideration the depolarization channel. In the case of one eavesdropper, the effect of the depolarizing channel with some conditions can stop the BB84 protocol [9].…”

Section: Introductionmentioning

confidence: 99%

Quantum Key Distribution with Several Cloning Attacks via a Depolarizing Channel

Dehmani¹,

Ez‐Zahraouy²,

Benyoussef³

2015

J Russ Laser Res

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We study the effect of many eavesdroppers cloning attacks via a depolarizing channel of the BennettBrassard cryptographic protocol on the quantum error and the mutual information between honest parties. We compute the quantum error and the mutual information for an arbitrary number of attacks. We prove that the quantum error, the secret information, and the secured/unsecured transition depend strongly on the eavesdroppers' number, their angle of attack, and the depolarizing parameter. However, when all the eavesdroppers attack with an identical angle the quantum error increases with increase in the eavesdroppers' number and/or decrease of the depolarizing parameter p for 0 ≤ p ≤ 0.165, while for p > 0.165, the lost information is greater than the mutual information exchanged between honest parties independently of the eavesdropper number and the angle of attack.

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Transmissions of quantum entangled states in anisotropic depolarizing channels

Cited by 3 publications

References 8 publications

Quantum encoding based on optical phase states and mutually unbiased bases in the presence of several eavesdroppers

Quantum encoding based on optical phase states and mutually unbiased bases in the presence of several eavesdroppers

Quantum Illumination Radar Using Polarization States of Photons in Atmosphere: Quantum Information Approach

Quantum Key Distribution with Several Cloning Attacks via a Depolarizing Channel

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