Quantum networks for elementary arithmetic operations.

Quantum networks for elementary arithmetic operations.

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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...

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Κύριοι συγγραφείς: Vedral, V, Barenco, A, Ekert, A
Μορφή: Journal article
Γλώσσα:English
Έκδοση: 1996
Περιγραφή
Περίληψη: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.

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