0208120v1

related topics
{phase, path, phys}
{qubit, qubits, gate}
{time, decoherence, evolution}
{cos, sin, state}
{state, phys, rev}
{trap, ion, state}
{level, atom, field}
{error, code, errors}
{group, space, representation}
{cavity, atom, atoms}

Evaluating holonomic quantum computation: beyond adiabatic limitation

LiXiang Cen, XinQi Li, YiJing Yan, HouZhi Zheng, ShunJin Wang

abstract: The proposal of the optical scheme for holonomic quantum computation is evaluated based on dynamical resolution to the system beyond adiabatic limitation. The time-dependent Schr\"{o}dinger equation is exactly solved by virtue of the cranking representation and gauge transformation approach. Besides providing rigorous confirmation to holonomies of the geometrical prediction that holds for the ideally adiabatic situation, the dynamical resolution enables one to evaluate elaborately the amplitude of the nonadiabatic deviation, so that the errors induced to the quantum computation can be explicitly estimated.

oai_identifier:
oai:arXiv.org:quant-ph/0208120
categories:
quant-ph
comments:
RevTeX, 4 pages + 2 figures
arxiv_id:
quant-ph/0208120
created:
2002-08-18

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