English

Approximate Quantum Fourier Transform and Decoherence

Quantum Physics 2009-10-30 v1

Abstract

We discuss the advantages of using the approximate quantum Fourier transform (AQFT) in algorithms which involve periodicity estimations. We analyse quantum networks performing AQFT in the presence of decoherence and show that extensive approximations can be made before the accuracy of AQFT (as compared with regular quantum Fourier transform) is compromised. We show that for some computations an approximation may imply a better performance.

Keywords

Cite

@article{arxiv.quant-ph/9601018,
  title  = {Approximate Quantum Fourier Transform and Decoherence},
  author = {Adriano Barenco and Artur Ekert and Kalle-Antti Suominen and Päivi Törmä},
  journal= {arXiv preprint arXiv:quant-ph/9601018},
  year   = {2009}
}

Comments

14 pages, 10 fig. (8 *.eps files). More information on http://eve.physics.ox.ac.uk/QChome.html http://www.physics.helsinki.fi/~kasuomin http://www.physics.helsinki.fi/~kira/group.html