An efficient factoring algorithm for computing the failure-frequencies of telecommunications networks

2004 ◽  
Author(s):  
M. Hayashi ◽  
T. Abe
Keyword(s):  
Telecommunications Networks ◽  
Factoring Algorithm

Equitable transit charges for multiadministration telecommunications networks

1987 ◽  
Vol 2 (1) ◽  
pp. 83-92
Author(s):  
Richard F. Serfozo
Keyword(s):  
Telecommunications Networks

scholarly journals Demonstration of Shor’s factoring algorithm for N $$=$$ 21 on IBM quantum processors

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Unathi Skosana ◽  
Mark Tame
Keyword(s):  
Necessary Condition ◽  
Phase Estimation ◽  
Proof Of Concept ◽  
Residual Phase ◽  
Shor's Algorithm ◽  
Functional Correctness ◽  
Toffoli Gates ◽  
Previous Demonstration ◽  
Quantum Order ◽  
Factoring Algorithm

AbstractWe report a proof-of-concept demonstration of a quantum order-finding algorithm for factoring the integer 21. Our demonstration involves the use of a compiled version of the quantum phase estimation routine, and builds upon a previous demonstration. We go beyond this work by using a configuration of approximate Toffoli gates with residual phase shifts, which preserves the functional correctness and allows us to achieve a complete factoring of $$N=21$$ N = 21 . We implemented the algorithm on IBM quantum processors using only five qubits and successfully verified the presence of entanglement between the control and work register qubits, which is a necessary condition for the algorithm’s speedup in general. The techniques we employ may be useful in carrying out Shor’s algorithm for larger integers, or other algorithms in systems with a limited number of noisy qubits.

Le telecomunicazioni dagli anni Cinquanta agli anni Novanta. Tra concorrenza e armonizzazione: genesi di una nuova icona dell'Europa integrata

2009 ◽  
pp. 89-97
Author(s):  
Léonard Laborie
Keyword(s):  
Historical Perspective ◽  
Common Market ◽  
Telecommunications Networks ◽  
European Cooperation ◽  
Operating Rules ◽  
Telecommunications Sector ◽  
Long Time ◽  
Common Policy

- This article aims at placing in an historical perspective the changes that gave birth in the Eighties and Nineties to the contemporary "transnational and liberalized" European telecommunications landscape. Telecommunications networks are articulated around a triangle linking operators (services providers), manufacturers (gears providers) and regulators (providing operating rules). In Europe, this triangle formed strong national monopoly till the Eighties within each nation: a compartmentalized organisation highly contrasting with the idea and prospect of a common market. This landscape was swept away from the Eighties on, the telecommunications sector becoming an icon of an integrated and dynamic Europe, around a common policy combining technical harmonisation (the GSM standard for instance) and deregulation. This article addresses the questions of the origin, goals and stakeholders of a common policy for a long time impossible to achieve, redefined at several occasions, and, at the end, emblematic.Parole chiave: Telecomunicazioni, Cooperazione europea, Armonizzazione tecnica, CEPT, CEE, GSM Telecommunications, European cooperation, Technical Harmonization, CEPT, CEE, GSM

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