Shor's algorithm on a nearest-neighbor machine

Abstract

We give a new ``nested adds'' circuit for implementing Shor's algorithm in linear width and quadratic depth on a nearest-neighbor machine. Our circuit combines Draper's transform adder with approximation ideas of Zalka. The transform adder requires small controlled rotations. We also give another version, with slightly larger depth, using only reversible classical gates. We do not know which version will ultimately be cheaper to implement.

11 pages, 1 color figure

References in corpus (3)

• A new quantum ripple-carry addition circuit
• Fast Quantum Modular Exponentiation
• Architecture-Dependent Execution Time of Shor's Algorithm

Cited by in corpus (1)

• Computation at a distance