Quantum Computation as a Dynamical Process

Details Quantum Computation as a Dynamical Process Quantum Computation as a Dynamical Process

1999-04-29

arxiv.org/abs/quant-ph/9904105v1

Comput.Phys.Commun.127:91-99,2000

Physics

Quantum Physics

13 pages, 1 column, no figures

Scientific paper

10.1016/S0010-4655(00)00031-X

In this paper, we discuss the dynamical issues of quantum computation. We demonstrate that fast wave function oscillations can affect the performance of Shor's quantum algorithm by destroying required quantum interference. We also show that this destructive effect can be routinely avoided by using resonant-pulse techniques. We discuss the dynamics of resonant pulse implementations of quantum logic gates in Ising spin systems. We also discuss the influence of non-resonant excitations. We calculate the range of parameters where undesirable non-resonant effects can be minimized. Finally, we describe the ``$2\pi k$-method'' which avoids the detrimental deflection of non-resonant qubits.

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