Abstract

In a quantum computer, qubits are often stored in identical two-level systems separated by a distance shorter than the characteristic wavelength of the reservoirs that are responsible for decoherence. In this case the collective qubit–reservoir interaction, rather than the individual qubit–reservoir interaction, may determine the decoherence properties. We study the collective decoherence behavior in between each step in certain quantum algorithms and propose a simple alternative of implementing quantum algorithms using a quantum trajectory that is close to a decoherence–free subspace that avoids unstable Dicke’s superradiant states and Schrödinger’s cat state.

© 2007 Optical Society of America

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