Implementing Shor's algorithm on Josephson Charge Qubits

Details Implementing Shor's algorithm on Josephson Charge Qubits Implementing Shor's algorithm on Josephson Charge Qubits

2003-08-29

arxiv.org/abs/quant-ph/0308171v3

Physics

Quantum Physics

12 pages, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.70.012319

We investigate the physical implementation of Shor's factorization algorithm on a Josephson charge qubit register. While we pursue a universal method to factor a composite integer of any size, the scheme is demonstrated for the number 21. We consider both the physical and algorithmic requirements for an optimal implementation when only a small number of qubits is available. These aspects of quantum computation are usually the topics of separate research communities; we present a unifying discussion of both of these fundamental features bridging Shor's algorithm to its physical realization using Josephson junction qubits. In order to meet the stringent requirements set by a short decoherence time, we accelerate the algorithm by decomposing the quantum circuit into tailored two- and three-qubit gates and we find their physical realizations through numerical optimization.

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