Decoherence Bounds on Quantum Computation with Trapped Ions

Abstract

Using simple physical arguments we investigate the capabilities of a quantum computer based on cold trapped ions. From the limitations imposed on such a device by spontaneous decay, laser phase coherence, ion heating and other sources of error, we derive a bound between the number of laser interactions and the number of ions that may be used. The largest number which may be factored using a variety of species of ion is determined.

5 pages in RevTex, 2 figures, the paper is also avalaible at http://qso.lanl.gov/qc/