Quantum networks for elementary arithmetic operations.

Quantum computers require quantum arithmetic. We provide an explicit construction of quantum networks effecting basic arithmetic operations: from addition to modular exponentiation. Quantum modular exponentiation seems to be the most difficult (time and space consuming) part of Shor's quantum f...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser:	Vedral, V, Barenco, A, Ekert, A
Format:	Journal article
Sprache:	English
Veröffentlicht:	1996

Beschreibung
Zusammenfassung:	Quantum computers require quantum arithmetic. We provide an explicit construction of quantum networks effecting basic arithmetic operations: from addition to modular exponentiation. Quantum modular exponentiation seems to be the most difficult (time and space consuming) part of Shor's quantum factorizing algorithm. We show that the auxiliary memory required to perform this operation in a reversible way grows linearly with the size of the number to be factorized.

Quantum networks for elementary arithmetic operations.

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