11 research outputs found
ΠΠΎΡΠ»ΡΠ΄ΠΎΠ²Π½Π° Π°ΡΠ°ΠΊΠ° ΠΏΠ°ΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅Ρ ΠΎΠΏΠ»Π΅Π½Π½Ρ Π΄Π²ΠΎΡ Π·Π»ΠΎΠ²ΠΌΠΈΡΠ½ΠΈΠΊΡΠ² Π½Π° ΠΏΡΠ½Π³-ΠΏΠΎΠ½Π³ ΠΏΡΠΎΡΠΎΠΊΠΎΠ» Π· ΠΠ₯Π¦-ΡΡΠΈΠΏΠ»Π΅ΡΠ°ΠΌΠΈ ΠΊΡΠ±ΡΡΡΠ²
In this paper has been analyzed the eavesdropping attackof two eavesdroppers on the ping-pong protocol withthree-qubit entangled Greenberger β Horne β Zeilingerstates. The expression for probability of attack detectionby legitimate users at attack of two eavesdroppers dependingon probabilities of detection them attacks separatelyare obtained. It is shown that an increase in thenumber of attackers in the quantum channel leads to anincrease in the probability of detecting these attacks bylegitimate users. The expressions for the maximum eavesdroppers'amount of information during a consistentattack of two eavesdroppers on the ping-pong protocolwith GHZ-triplets are obtained. It is indicated that themaximum eavesdroppers' amount of information determinedby the same expression as in the case of oneeavesdropper's attack, only the expression for the probabilityof attack detection is changed. It is shown that theping-pong protocol with GHZ-triplets is vulnerable toeavesdropping attack of two eavesdroppers not morethan to one eavesdropper's attack. It is shown that resultsof paper could be extend to the ping-pong protocols withn-qubit GHZ-states at any n.Π ΡΡΠ°ΡΡΠ΅ ΠΏΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Π° ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½Π°Ρ Π°ΡΠ°ΠΊΠ°ΠΏΠ°ΡΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅Ρ
Π²Π°ΡΠ° Π΄Π²ΡΡ
Π·Π»ΠΎΡΠΌΡΡΠ»Π΅Π½Π½ΠΈΠΊΠΎΠ² Π½Π° ΠΏΠΈΠ½Π³-ΠΏΠΎΠ½Π³ ΠΏΡΠΎΡΠΎΠΊΠΎΠ» Ρ ΡΡΠ΅Ρ
ΠΊΡΠ±ΠΈΡΠ½ΡΠΌΠΈ ΠΏΠ΅ΡΠ΅ΠΏΡΡΠ°Π½Π½ΡΠΌΠΈ ΡΠΎΡ-ΡΠΎΡΠ½ΠΈΡΠΌΠΈ ΠΡΠΈΠ½Π±Π΅ΡΠ³Π΅ΡΠ° β Π₯ΠΎΡΠ½Π° β Π¦Π°ΠΉΠ»ΠΈΠ½Π³Π΅ΡΠ°. ΠΠΎΠ»Ρ-ΡΠ΅Π½ΠΎ Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΠ΅ Π΄Π»Ρ Π²Π΅ΡΠΎΡΡΠ½ΠΎΡΡΠΈ ΠΎΠ±Π½Π°ΡΡΠΆΠ΅Π½ΠΈΡ Π°ΡΠ°ΠΊΠΈΠ»Π΅Π³ΠΈΡΠΈΠΌΠ½ΡΠΌΠΈ ΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΠ΅Π»ΡΠΌΠΈ ΠΏΡΠΈ Π°ΡΠ°ΠΊΠ΅ Π΄Π²ΡΡ
Π·Π»ΠΎΡΠΌΡ-ΡΠ»Π΅Π½Π½ΠΈΠΊΠΎΠ² Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ Π²Π΅ΡΠΎΡΡΠ½ΠΎΡΡΠ΅ΠΉ ΠΎΠ±Π½Π°ΡΡΠΆΠ΅-Π½ΠΈΡ ΠΈΡ
Π°ΡΠ°ΠΊ ΠΎΡΠ΄Π΅Π»ΡΠ½ΠΎ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠ΅ ΠΊΠΎΠ»ΠΈ-ΡΠ΅ΡΡΠ²Π° Π°ΡΠ°ΠΊΡΡΡΠΈΡ
Π² ΠΊΠ²Π°Π½ΡΠΎΠ²ΠΎΠΌ ΠΊΠ°Π½Π°Π»Π΅ ΠΏΡΠΈΠ²ΠΎΠ΄ΠΈΡ ΠΊ ΡΠ²Π΅-Π»ΠΈΡΠ΅Π½ΠΈΡ Π²Π΅ΡΠΎΡΡΠ½ΠΎΡΡΠΈ ΠΎΠ±Π½Π°ΡΡΠΆΠ΅Π½ΠΈΡ ΠΈΡ
Π°ΡΠ°ΠΊΠΈ Π»Π΅Π³ΠΈΡΠΈΠΌ-Π½ΡΠΌΠΈ ΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΠ΅Π»ΡΠΌΠΈ. ΠΠΎΠ»ΡΡΠ΅Π½Ρ Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΡ Π΄Π»Ρ ΠΌΠ°ΠΊ-ΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²Π° ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ Π΄Π²ΡΡ
Π·Π»ΠΎΡΠΌΡΡ-Π»Π΅Π½Π½ΠΈΠΊΠΎΠ² ΠΏΡΠΈ ΠΈΡ
ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΠΉ Π°ΡΠ°ΠΊΠ΅ ΠΏΠ°ΡΡΠΈΠ²Π½ΠΎΠ³ΠΎΠΏΠ΅ΡΠ΅Ρ
Π²Π°ΡΠ° Π½Π° ΠΏΠΈΠ½Π³-ΠΏΠΎΠ½Π³ ΠΏΡΠΎΡΠΎΠΊΠΎΠ» Ρ ΠΠ₯Π¦-ΡΡΠΈΠΏΠ»Π΅ΡΠ°ΠΌΠΈ.ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ΅ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈΠ·Π»ΠΎΡΠΌΡΡΠ»Π΅Π½Π½ΠΈΠΊΠΎΠ² ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ΅ΡΡΡ ΡΠ΅ΠΌ ΠΆΠ΅ Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΠ΅ΠΌ,ΡΡΠΎ ΠΈ Π² ΡΠ»ΡΡΠ°Π΅ Π°ΡΠ°ΠΊΠΈ ΠΎΠ΄Π½ΠΎΠ³ΠΎ Π·Π»ΠΎΡΠΌΡΡΠ»Π΅Π½Π½ΠΈΠΊΠ°, ΠΈΠ·ΠΌΠ΅Π½Ρ-Π΅ΡΡΡ ΡΠΎΠ»ΡΠΊΠΎ Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΠ΅ Π΄Π»Ρ Π²Π΅ΡΠΎΡΡΠ½ΠΎΡΡΠΈ ΠΎΠ±Π½Π°ΡΡΠΆΠ΅Π½ΠΈΡΠ°ΡΠ°ΠΊΠΈ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΠΏΠΈΠ½Π³-ΠΏΠΎΠ½Π³ ΠΏΡΠΎΡΠΎΠΊΠΎΠ» Ρ ΠΠ₯Π¦-ΡΡΠΈΠΏΠ»Π΅ΡΠ°ΠΌΠΈ ΡΡΠ·Π²ΠΈΠΌ ΠΊ Π°ΡΠ°ΠΊΠ΅ ΠΏΠ°ΡΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅Ρ
Π²Π°ΡΠ° Π΄Π²ΡΡ
Π·Π»ΠΎΡΠΌΡΡΠ»Π΅Π½Π½ΠΈΠΊΠΎΠ² Π½Π΅ Π±ΠΎΠ»ΡΡΠ΅, ΡΠ΅ΠΌ ΠΊ Π°ΡΠ°ΠΊΠ΅ ΠΎΠ΄Π½ΠΎΠ³ΠΎ.ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΡΠ°Π±ΠΎΡΡ ΠΌΠΎΠ³ΡΡ Π±ΡΡΡ ΡΠ°ΡΠΏΡΠΎΡ-ΡΡΠ°Π½Π΅Π½Ρ Π½Π° ΠΏΠΈΠ½Π³-ΠΏΠΎΠ½Π³ ΠΏΡΠΎΡΠΎΠΊΠΎΠ»Ρ Ρ n-ΠΊΡΠ±ΠΈΡΠ½ΡΠΌΠΈ ΠΠ₯Π¦-ΡΠΎΡΡΠΎΡΠ½ΠΈΡΠΌΠΈ ΠΏΡΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ»ΡΠ½ΡΡ
n.Π£ ΡΡΠ°ΡΡΡ ΠΏΡΠΎΠ°Π½Π°Π»ΡΠ·ΠΎΠ²Π°Π½ΠΎ ΠΏΠΎΡΠ»ΡΠ΄ΠΎΠ²Π½Ρ Π°ΡΠ°ΠΊΡ ΠΏΠ°ΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠΏΠ»Π΅Π½Π½Ρ Π΄Π²ΠΎΡ
Π·Π»ΠΎΠ²ΠΌΠΈΡΠ½ΠΈΠΊΡΠ² Π½Π° ΠΏΡΠ½Π³-ΠΏΠΎΠ½Π³ ΠΏΡΠΎΡΠΎΠΊΠΎΠ» Π· ΡΡΠΈΠΊΡΠ±ΡΡΠ½ΠΈΠΌΠΈ ΠΏΠ΅ΡΠ΅ΠΏΠ»ΡΡΠ°Π½ΠΈΠΌΠΈ ΡΡΠ°Π½Π°ΠΌΠΈ ΠΡΡΠ½Π±Π΅ΡΠ³Π΅ΡΠ° β Π₯ΠΎΡΠ½Π° β Π¦Π°ΠΉΠ»ΡΠ½Π³Π΅ΡΠ°. ΠΠ΄Π΅ΡΠΆΠ°Π½ΠΎ Π²ΠΈΡΠ°Π· Π΄Π»Ρ ΠΉΠΌΠΎΠ²ΡΡΠ½ΠΎΡΡΡ Π²ΠΈΡΠ²Π»Π΅Π½Π½Ρ Π°ΡΠ°ΠΊΠΈΠ»Π΅Π³ΡΡΠΈΠΌΠ½ΠΈΠΌΠΈ ΠΊΠΎΡΠΈΡΡΡΠ²Π°ΡΠ°ΠΌΠΈ ΠΏΡΠΈ Π°ΡΠ°ΡΡ Π΄Π²ΠΎΡ
Π·Π»ΠΎΠ²ΠΌΠΈΡΠ½ΠΈΠΊΡΠ² Ρ Π·Π°Π»Π΅ΠΆΠ½ΠΎΡΡΡ Π²ΡΠ΄ ΡΠΌΠΎΠ²ΡΡΠ½ΠΎΡΡΠ΅ΠΉ Π²ΠΈΡΠ²Π»Π΅Π½Π½Ρ ΡΡ
Π°ΡΠ°ΠΊ ΠΎΠΊΡΠ΅ΠΌΠΎ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΠΎ Π·Π±ΡΠ»ΡΡΠ΅Π½Π½Ρ ΠΊΡΠ»ΡΠΊΠΎΡΡΡ Π°ΡΠ°ΠΊΡΡΡΠΈΡ
Π² ΠΊΠ²Π°Π½ΡΠΎΠ²ΠΎΠΌΡ ΠΊΠ°Π½Π°Π»Ρ ΠΏΡΠΈΠ·Π²ΠΎΠ΄ΠΈΡΡ Π΄ΠΎ Π·Π±ΡΠ»ΡΡΠ΅Π½Π½Ρ ΠΉΠΌΠΎΠ²ΡΡΠ½ΠΎΡΡΡ Π²ΠΈΡΠ²Π»Π΅Π½Π½Ρ ΡΡ
Π°ΡΠ°ΠΊΠΈ Π»Π΅Π³ΡΡΠΈΠΌΠ½ΠΈΠΌΠΈ ΠΊΠΎΡΠΈΡΡΡΠ²Π°ΡΠ°ΠΌΠΈ. ΠΠ΄Π΅ΡΠΆΠ°Π½ΠΎ Π²ΠΈΡΠ°Π·ΠΈ Π΄Π»Ρ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΡ ΠΊΡΠ»ΡΠΊΠΎΡΡΡ ΡΠ½ΡΠΎΡΠΌΠ°ΡΡΡ Π΄Π²ΠΎΡ
Π·Π»ΠΎΠ²ΠΌΠΈΡΠ½ΠΈΠΊΡΠ² ΠΏΡΠΈ ΡΡ
ΠΏΠΎΡΠ»ΡΠ΄ΠΎΠ²Π½ΡΠΉ Π°ΡΠ°ΡΡ ΠΏΠ°ΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠΏΠ»Π΅Π½Π½Ρ Π½Π° ΠΏΡΠ½Π³-ΠΏΠΎΠ½Π³ ΠΏΡΠΎΡΠΎΠΊΠΎΠ» Π· ΠΠ₯Π¦-ΡΡΠΈΠΏΠ»Π΅ΡΠ°ΠΌΠΈ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΠΎ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½Π° ΠΊΡΠ»Ρ-ΠΊΡΡΡΡ ΡΠ½ΡΠΎΡΠΌΠ°ΡΡΡ Π·Π»ΠΎΠ²ΠΌΠΈΡΠ½ΠΈΠΊΡΠ² Π²ΠΈΠ·Π½Π°ΡΠ°ΡΡΡΡΡ ΡΠΈΠΌ ΠΆΠ΅ Π²ΠΈΡΠ°Π·ΠΎΠΌ, ΡΠΎ ΠΉ Ρ Π²ΠΈΠΏΠ°Π΄ΠΊΡ Π°ΡΠ°ΠΊΠΈ ΠΎΠ΄Π½ΠΎΠ³ΠΎ Π·Π»ΠΎΠ²ΠΌΠΈΡΠ½ΠΈΠΊΠ°, Π·ΠΌΡΠ½ΡΡΡΡΡΡΡΡΠ»ΡΠΊΠΈ Π²ΠΈΡΠ°Π· Π΄Π»Ρ ΠΉΠΌΠΎΠ²ΡΡΠ½ΡΡΡΡ Π²ΠΈΡΠ²Π»Π΅Π½Π½Ρ Π°ΡΠ°ΠΊΠΈ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΠΎ ΠΏΡΠ½Π³-ΠΏΠΎΠ½Π³ ΠΏΡΠΎΡΠΎΠΊΠΎΠ» Π· ΠΠ₯Π¦-ΡΡΠΈΠΏΠ»Π΅ΡΠ°ΠΌΠΈ Π²ΡΠ°Π·Π»ΠΈΠ²ΠΈΠΉ Π΄ΠΎΠ°ΡΠ°ΠΊΠΈ ΠΏΠ°ΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠΏΠ»Π΅Π½Π½Ρ Π΄Π²ΠΎΡ
Π·Π»ΠΎΠ²ΠΌΠΈΡΠ½ΠΈΠΊΡΠ² Π½Π΅ Π±ΡΠ»ΡΡΠ΅, Π½ΡΠΆ Π΄ΠΎ Π°ΡΠ°ΠΊΠΈ ΠΎΠ΄Π½ΠΎΠ³ΠΎ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΠΎ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΈ ΡΠΎΠ±ΠΎΡΠΈ ΠΌΠΎΠΆΡΡΡ Π±ΡΡΠΈ ΠΏΠΎΡΠΈΡΠ΅Π½Ρ Π½Π° ΠΏΡΠ½Π³-ΠΏΠΎΠ½Π³ ΠΏΡΠΎΡΠΎΠΊΠΎΠ»ΠΈ Π· n-ΠΊΡΠ±ΡΡΠ½ΠΈΠΌΠΈ ΠΠ₯Π¦-ΡΡΠ°Π½Π°ΠΌΠΈ ΠΏΡΠΈ Π΄ΠΎΠ²ΡΠ»ΡΠ½ΠΈΡ
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Quantum Secure Telecommunication Systems
This book guides readers through the basics of rapidly emerging networks to more advanced concepts and future expectations of Telecommunications Networks. It identifies and examines the most pressing research issues in Telecommunications and it contains chapters written by leading researchers, academics and industry professionals. Telecommunications Networks - Current Status and Future Trends covers surveys of recent publications that investigate key areas of interest such as: IMS, eTOM, 3G/4G, optimization problems, modeling, simulation, quality of service, etc. This book, that is suitable for both PhD and master students, is organized into six sections: New Generation Networks, Quality of Services, Sensor Networks, Telecommunications, Traffic Engineering and Routing
Telecommunications Networks
This book guides readers through the basics of rapidly emerging networks to more advanced concepts and future expectations of Telecommunications Networks. It identifies and examines the most pressing research issues in Telecommunications and it contains chapters written by leading researchers, academics and industry professionals. Telecommunications Networks - Current Status and Future Trends covers surveys of recent publications that investigate key areas of interest such as: IMS, eTOM, 3G/4G, optimization problems, modeling, simulation, quality of service, etc. This book, that is suitable for both PhD and master students, is organized into six sections: New Generation Networks, Quality of Services, Sensor Networks, Telecommunications, Traffic Engineering and Routing