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• W1569148016 abstract "We present a novel and efficient, in terms of circuit depth, design for Shor's quantum factorization algorithm. The circuit effectively utilizes a diverse set of adders based on the Quantum Fourier transform (QFT) Draper's adders to build more complex arithmetic blocks: quantum multiplier/accumulators by constants and quantum dividers by constants. These arithmetic blocks are effectively architected into a quantum modular multiplier which is the fundamental block for the modular exponentiation circuit, the most computational intensive part of Shor's algorithm. The proposed modular exponentiation circuit has a depth of about $2000n^2$ and requires $9n+2$ qubits, where $n$ is the number of bits of the classic number to be factored. The total quantum cost of the proposed design is $1600n^3$. The circuit depth can be further decreased by more than three times if the approximate QFT implementation of each adder unit is exploited." @default.
• W1569148016 created "2016-06-24" @default.
• W1569148016 creator A5007119083 @default.
• W1569148016 creator A5049587774 @default.
• W1569148016 date "2014-05-01" @default.
• W1569148016 modified "2023-10-01" @default.
• W1569148016 title "Fast quantum modular exponentiation architecture for Shor's factoring alogrithm" @default.
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• W1569148016 doi "https://doi.org/10.26421/qic14.7-8-8" @default.
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