Decoherence in Ion Trap Quantum Computers

Details Decoherence in Ion Trap Quantum Computers Decoherence in Ion Trap Quantum Computers

1996-03-29

arxiv.org/abs/atom-ph/9603009v1

Phys Rev Lett 77 (1996) 764

Physics

Atomic Physics

11 pages, no figures, uses revtex

Scientific paper

10.1007/BF02571179

The {\it intrinsic} decoherence from vibrational coupling of the ions in the Cirac-Zoller quantum computer [Phys. Rev. Lett. {\bf 74}, 4091 (1995)] is considered. Starting from a state in which the vibrational modes are at a temperature $T$, and each ion is in a superposition of an excited and a ground state, an adiabatic approximation is used to find the inclusive probability $P(t)$ for the ions to evolve as they would without the vibrations, and for the vibrational modes to evolve into any final state. An analytic form is found for $P(t)$ at $T=0$, and the decoherence time is found for all $T$. The decoherence is found to be quite small, even for 1000 ions.

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