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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Introduction to Satellite Quantum Transmission Networks and Handover Inter-Domain Systems for World Coverage Communications⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Asma Zehani</string-name>
          <email>asma.zehani@doc.umc.edu.dz</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Salaheddine Sadouni</string-name>
          <email>salaheddinesadouni@umc.edu.dz</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Skander Aris</string-name>
          <email>aris.skander@umc.edu.dz</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kaouther Boumalek</string-name>
          <email>boumalek.kaouther@umc.edu.dz</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Brothers Mentouri University of Constantine 1, Cryptography, Internet of things Laboratory (LSIACIO) Constantine</institution>
          ,
          <country country="DZ">Algeria</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>During the last decades, quantum cryptography has been a subject of information security and rapid communications progress. It is extending into devices industry and commercial products. Quantum satellite transmissions have a great potential to become the key technology for assuring the confidentiality and the privacy of the communications in the future commercial networks for a world-width coverage, and thus, to become the driver for the success of the military services, the field of banks, and many others domains. In cellular access networks, the user mobility is a serious problem. Generally, users may, during the same call, go through several diferent base stations, which generate the mechanisms of inter-cell handover or intra-cellular handover. In order to guarantee the higher reliability in quantum information, it is necessary to use the satellite technology in long distance transmission systems. In the present research, free space quantum satellite theory is proved and the scheme of quantum constellation based on handover inter-satellite domain is presented. Based on the several schemes of quantum repeating, a novel idea and new quantum satellite communication system is presented and discussed. The main goal of the present research is to present diferent scenarios and requires the necessary material in the satellite and base station for securing the information or the transmitted signal between the users.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Quantum communications</kwd>
        <kwd>Quantum Satellite transmission</kwd>
        <kwd>Hand-over Inter-satellite Domain</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Quantum communications [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] as a broad technological field, are gaining an increasing interest. They
have come out from a purely fundamental quantum physics research area to an applied science with
huge potential economic impact. The most promising application, quantum cryptography, has been
demonstrated in various scenarios, and initial systems are already commercially available.
      </p>
      <p>A fascinating technological challenge is the establishment of a quantum communication network,
which eventually allows quantum communication on a global scale. Most existing implementations
of quantum communication schemes are based on the transmission and detection of single photon
or entangled photons pairs. With the present technology, the distance that can be bridged is limited,
basically by atmospheric attenuation and detected background noise, to some hundred kilometers for
both fiber systems and free-space transmission through the atmosphere near the Earth’s surface.</p>
      <p>
        These limitations could be overcome by the use of space and satellite technology [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Namely,
intersatellite link technology [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] Polarization-encoding is currently one of the most widespread realizations
of photonic qubits [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], which utilizes two orthogonal states of polarization to encode information onto
the optical mode of a single photon. Since the atmosphere does not afect the polarization of photons,
then, it is the suitable system for free-space quantum communication schemes. In order to establish a
quantum communication protocol between two sections, a system is needed to send the single photon
emitted by the source onboard the satellite to the ground station, where the receiver is located [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        This is achieved thanks to the satellite and cryptography team in the LSIACIO laboratory in University
of Constantine 1, and thanks to the sets of work of my end-of-cycle Master students. In this article, a
simplified pattern with two planes is considered: the first one, on the satellite side. The satellite sends
the photons to the ground station whatever its position in the sky. While the second one, on the ground
station. It receives the photons and, wherever they come from, sends them to the polarization analysis
device [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Quantum Satellite transmission statement</title>
      <p>
        The use of satellites for the quantum distribution is our objective (see figure 1). The transmission
of photons using satellites can be considered as a solution for long distance transmissions [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. This
principle has overcome the limitations of Earth-related technology, namely, the range of about 100 km
provided by optical fibers [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>Quantum scenarios involving some problems based on Earth allows sharing quantum transmission
between the ground station and the satellite, between two ground stations, or even between two
satellites, and thus communicates with terminals using such quantum communication protocols. In the
simplest case, a direct uplink to a satellite receiver can be used to perform quantum key distribution
(QKD) between the transmitter and the receiver station.
also be used to implement a secret key for the transmission of qubits from base stations to satellite,
or from satellite to another. The practical challenges that will have to be met in order to implement
quantum satellite repeaters and quantum teleportation over large distances will be discussed.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Principal Operation for Quantum Satellite Communications</title>
      <p>
        The establishment of quantum communications in space and, subsequently, its use for fundamental
quantum physics experiments and quantum communication applications requires three experimental
operations [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]:
• Operation I : Creation and detection of qubits (single photon) via an optical space link (see
ifgure2). From an application point of view this achievement method would already allow to
perform Quantum Key Distribution based on single photon algorithm transmission.
• Operation II : Establishment of entanglement (classical correlations via shared entangled
particles) between the communicating sections. This includes the ability to detect single qubits
synchronously at the spatially separated locations of the communicating sections. At this stage
already the most fundamental experiment in quantum physics (QKD based on entangled qubits).
• Operation III:Analysis of independent qubits. For the case of photons, the most eficient
scheme relies on two-photons interferometer at a beam splitter. Technically, the arrival time of
the photonic qubits at the receiver module has to be synchronized such that photons wave packets
overlap at the beam splitter within their coherence length. If this problem is solved, all advanced
quantum communications and computation protocols such as quantum-state teleportation or
quantum dense coding could be implemented. .
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. Quantum Objective in Satellite Transmission</title>
      <p>
        In today’s quantum communications systems, there are two major issues under consideration, that are
the need to extend transmission and control distance, and even more to increase throughput which is
key in secure communication [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. As it was suggested above, the desire to extend the transmission
distance is to focus eforts on satellite-based free space communications systems. Thus, the purpose
of this work is to obtain long-distance satellite-based free space quantum communication with better
secure communication bit rate by pursuing the following specific objectives [
        <xref ref-type="bibr" rid="ref11">11, 13</xref>
        ]:
• Create a mathematical model to control the performance of the BB84 and/or BB92 protocol in
quantum satellite communication links between a ground station and a satellite in low Earth
orbit (LEO), taking into account the diferent atmospheric attenuation parameters.
• To develop a suitable theoretical model in order to investigate the physical layer limitation of the
satellite vibration in satellite-based quantum optical communication systems.
• To compare the performance of a single photon pulsed polarization based BB84 signal for the
satellite-based free space quantum optical communication links between a ground station and a
satellite in a LEO, against individual eavesdropping attacks.
• The use of handover inter-domain satellites using quantum photonic transmission (single photon
transmission) ofers a typical solution for long-range quantum communications networks. This
overcomes the main limitations of the terrestrial technology, i.e. the range of the order of 100 km
ofered by both optical fiber and free space terrestrial links.|
      </p>
    </sec>
    <sec id="sec-5">
      <title>5. Scheme of quantum constellation based on handover inter-satellite domain</title>
      <p>
        The use of LEO satellite constellations, as global communication networks [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], has known a large
difusion, not only in the services but in large scale communication networks as it is possible to
communicate wirelessly at any point in the globe [14]. In recent years, cellular satellite communications
have achieved great importance through Low Earth Orbit (LEO) satellites and GEO satellite orbit [15].
The general system components are shown in a figure 3.
      </p>
      <p>The communication system allows the optical link between two terminals mounted respectively on a
LEO satellite which is in a low earth orbit (LEO) and a dedicate other satellite which is in a geostationary
one (GEO), the distance between the two terminals is about 45,000 km (in the worst case). The mission
scenario foresees an optical link from LEO to GEO /or LEO to LEO and an optical link and/or from GEO
to ground station. Our objectives with this scheme are coupled quantum cryptography transmission
or BB84 protocol with the main survey of networks by a demonstration of satellite constellations
constitutions and the diferent interfering factors: the satellites number in each orbit, modeling the
handover problems or diferent handovers satellite probability (blocking) In order not to lose the
information, to make sure to maintain the communication uninterrupted between two satellite zones,
the handover inter-domain should be continuously present in satellite networks [16].</p>
      <p>While, the realization of such schemes is a routine work in our laboratory, non-trivial problems
emerge in long-distance applications. At present, the only suitable system for long-distance quantum
communication is photons. The essential work carried out in our research laboratory propose approaches
in the software development of implement Quantum Key Distribution (QKD) Networks with LEO
satellites and reduce the telecommunication interruption risks and this will provide, indeed, a better
communication quality and to make sure of data information security with quantum cryptography [17].</p>
      <p>We consider various scenarios for entanglement quantum communication. While, it is already an
interesting and outstanding experimental challenge, there are various specific novel opportunities which
such a technology would ofer. First and foremost, from a technological perspective, our study gives
the possibilities to establish a secure and eficient communication using the methods of entanglement
based quantum cryptography. As we explained above, one of them could not only establish a secure
communication link between two arbitrary locations on Earth. It would also be possible to establish
a secure communication from Earth to satellites, or between satellites. This would certainly increase
the security and control of the range of the signal that propagates depending on the distance from the
satellite, which currently constitutes a very sensitive area and a technical problem so far unresolved.</p>
      <p>Using diferent scenarios of secure key exchange in the free space, it is not dificult to exchange the key
between two points. The problem suggested here is the coverage of a huge space. Therefore, we need
networks of satellite constellations since the satellite constellations guarantee a global communication
routing [18].</p>
    </sec>
    <sec id="sec-6">
      <title>6. Practical Considerations and Problematic Statement</title>
      <p>The Quantum distribution of the key information in the satellite constellation coverage may require
that exchange cellular domain into shorter segments [19]. The problem with this concept is that the
required quantum transmitters are still beyond the scope of present day technology. Thus, the technique
of transferring cells to cover large distances consists of using optical satellite constellations in free
space [20].</p>
      <p>
        By exploiting this technique, free space optical communication systems could enable the realization
of secure key exchange between two widely separated locations on the globe [16] via inter-satellite links
[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Most of satellite communication systems are viewed as an alternative solution to the realization of
relatively long-distance secure key exchange, obtainment of large scale key exchange is still challenging.
This is due to the fact that the long-distance propagation of the optical beam is afected by several
parameters, namely, atmospheric turbulence and geographical structures and infra-structures [18].
      </p>
      <sec id="sec-6-1">
        <title>In this regard, some of the most outstanding problems include [13]: a : descrAtmospheric turbulence which leads to wave front distortion. b :Environmental vibration efects which lead to pointing errors. c :The absorption, scattering and reflection of radiation in the lower layers of the atmosphere</title>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>7. Handover Inter-satellite Domain Solution</title>
      <p>
        In the present study, the main problem consists of the fact that when a user changes its positions,
the communication link switches from a satellite to another. This occurs when the first satellite
cannot cover the user as he enters in the next satellite zone [16]. This technical operation consisting
in a communication exchange from a satellite to another is called the handover. Up to now, many
surveys talk about Inter-cellular domain have been carried out to improve this technical operation [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
The main purpose is to improve the technology in order to better manage the communications by
eliminating the interruption risks while crossing from a satellite zone to another or Inter-cellular zone,
see figure 4.
      </p>
      <p>A handover management strategy is proposed to eficiently manage the channel resource of a cell
in a multi-beam mobile satellite system (MSS) and improves its quality of service by reducing the
inter-beam handover failure rate (Ph1) caused by limited number of communication channels. The
handover triggering probability in a source cell for any communication is given by:
ℎ1 =
1
− exp−</p>
      <p>ℎ2 = exp− 
 =</p>
      <sec id="sec-7-1">
        <title>2cell</title>
        <p>orb · 
The handover blocking triggering probability of transit cell for any communication is given by:
 is the movement factor:
(1)
(2)
(3)
where cell :hexagon half circle,: call duration,orb: the satellite speed in an orbit.
orb =
︂(</p>
        <p>+ cell
where  = 3,9861014 m3 · s− 2, where  is the gravitation factor.</p>
      </sec>
      <sec id="sec-7-2">
        <title>The average number of over triggering is:</title>
        <p>=
ℎ1
1 − ℎ1</p>
      </sec>
    </sec>
    <sec id="sec-8">
      <title>8. Simulation Section and discussion</title>
      <p>with,  = 3.9861014 m3 · s− 2, cell = 100 km, and  = 5 minutes (300 s).
(4)
(5)
handover triggering probability.</p>
      <p>The handover efective value uses the various probabilities as upper and lower values, so that the
information reaching the user. Communication earth station followed by transfer to the comparison
between the two values, when the level of a user binds to a station that is less than the actual value,
there is an outbreak or more out of the box was covering the satellite and tries another nearby area,
which gives the two stations of the communication exchange. There are many researches for better
regulations have an efective approach for decreasing this operation, to avoid the risk of breaking down
links and enhance the quality factor services.</p>
    </sec>
    <sec id="sec-9">
      <title>9. Conclusion</title>
      <p>In Quantum Communication access networks, the problem of user security is crucial. Generally, they
may, during the same call, go through several diferent base stations, thus generating procedures of the
mechanism are inter-cell handover or intra-cellular handover. We used them to size the better network
and ensure a good Quality of Service given to users. We studied and simulated an evolution approximate
the probability of failure and trigger handover to a change of satellite to base station, or satellite to
another one, and describe the probability of the handover by planning an approach under some last
research conditions. We classify the diferent parameters afecting the stability of our system, with a
demonstration of a model which manages quantum cellular operator, as examples of explanations. To
see a simulation by diferent probabilities, this is a description and analysis of the team of our laboratory.
We are interested in the influential parameters in the mechanism of handover in inter-satellite domain
to achieve a well detailed report on the Quality of Services (QoS) of Quantum Key Distribution (QKD).
These points are the primary aim of our study. We will try to highlight our next research papers to
calculate some diferent probabilities. There are a lot of researches to arrive at an efective one way to
reduce this, and partly to avoid the risk of outages links between BTS - User and to improve the quality
factor of services.
10. Declaration on Generative AI</p>
      <sec id="sec-9-1">
        <title>The authors have not employed any Generative AI tools.</title>
        <p>key distribution: Towards a real life application, Fortschritte der Physik, vol. 54, no. 8-10, pp. 840–845,
2006.
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Cryptography Coupled with Handover Satellite Constellation for World Cover Communications,
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Morocco, March 20–23, 2011, pp. 1754–1759.
[14] N. Merabtine, S. Aris, and M. Benslama, A Contribution to a Communication Quality Improvement
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      </sec>
    </sec>
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