English

Efficient quantum computing insensitive to phase errors

Quantum Physics 2007-05-23 v2 Condensed Matter Chaotic Dynamics

Abstract

We show that certain computational algorithms can be simulated on a quantum computer with exponential efficiency and be insensitive to phase errors. Our explicit algorithm simulates accurately the classical chaotic dynamics for exponentially many orbits even when the quantum fidelity drops to zero. Such phase-insensitive algorithms open new possibilities for computation on realistic quantum computers.

Keywords

Cite

@article{arxiv.quant-ph/0102082,
  title  = {Efficient quantum computing insensitive to phase errors},
  author = {B. Georgeot and D. L. Shepelyansky},
  journal= {arXiv preprint arXiv:quant-ph/0102082},
  year   = {2007}
}

Comments

6 pages, 2 figures, to appear in "Electronic Correlations: from meso- to nano-physics", edited by G. Montambaux and T. Martin, Rencontres de Moriond (2001); more detailed discussion of measurements added