Effects of imperfections for Shor's factorization algorithm

Details Effects of imperfections for Shor's factorization algorithm Effects of imperfections for Shor's factorization algorithm

2007-01-23

arxiv.org/abs/quant-ph/0701169v3

Phys. Rev. A 75, 052311 (2007)

Physics

Quantum Physics

10 pages, 10 figures, 1 table. Added references and new data. Erratum added as appendix. 1 Figure and 1 Table added. Research

Scientific paper

10.1103/PhysRevA.75.052311

We study effects of imperfections induced by residual couplings between qubits on the accuracy of Shor's algorithm using numerical simulations of realistic quantum computations with up to 30 qubits. The factoring of numbers up to N=943 show that the width of peaks, which frequencies allow to determine the factors, grow exponentially with the number of qubits. However, the algorithm remains operational up to a critical coupling strength $\epsilon_c$ which drops only polynomially with $\log_2 N$. The numerical dependence of $\epsilon_c$ on $\log_2 N$ is explained by analytical estimates that allows to obtain the scaling for functionality of Shor's algorithm on realistic quantum computers with a large number of qubits.

Affiliated with

Also associated with

No associations

Rating

Effects of imperfections for Shor's factorization algorithm does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Effects of imperfections for Shor's factorization algorithm, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effects of imperfections for Shor's factorization algorithm will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-206430