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Fast quantum logical gate by adiabatic passage

Nicolas Sangouard, X. Lacour, S. Guérin, Hans Rudolf Jauslin

Published May 22, 2005• 0 citations
OpenAlex

Abstract

We present a process for the construction of quantum logical gates which does not require a composition of elementary gates from a universal set. We propose to employ direct techniques adapted to the preparation of specific gates. We illustrate the method by the creation of a SWAP gate by adiabatic passage with an optical cavity. The mechanism constitutes a decoherence-free method in the sense that spontaneous emission and cavity damping are avoided.

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We present a process for the construction of quantum logical gates which does not require a composition of elementary gates from a universal set. We propose to employ direct techniques adapted to the preparation of specific gates. We illustrate the method by the creation of a SWAP gate by adiabatic passage with an optical cavity. The mechanism constitutes a decoherence-free method in the sense that spontaneous emission and cavity damping are avoided.
Abstract The quantum logic gate is a basic operation in quantum computing. SWAP gates are quite useful as a type of two-qubit logic gate. In this paper, we propose a fast scheme to get a deterministic SWAP gate between two atoms in just one step. In this scheme the experimental parameters, such as evolution time, laser parameters and so on, do not need to be controlled precisely. This greatly simplifies the actual operation. Meanwhile, the strict numerical simulations show that decoherence arising from spontaneous emission and cavity decay may be allowed to some extent. What is more, the idea can be used to generate a SWAP gate between two spatially separate atoms. It is worth noting that our scheme simplifies the complex steps found in some pre-existing schemes.
Based on the shortcuts to adiabatic passage, we propose a scheme for directly implementing a controlled-not (CNOT) gate in a cavity quantum electrodynamics system. Moreover, we generalize the scheme to realize a CNOT gate in two separate cavities connected by an optical fiber. The strictly numerical simulation shows that the schemes are fast and insensitive to the decoherence caused by atomic spontaneous emission and photon leakage. In addition, the schemes can provide a theoretical basis for the manipulation of the multiqubit quantum gates in distant nodes of a quantum network.
We propose a fast scheme involving atoms fixed in an optical cavity to directly implement the universal controlled-unitary gate. The present technique based on adiabatic passage uses dark states well suited for the controlled-rotation operation. We show that these dark states allow the robust implementation of a gate that is a generalization of the controlled-unitary gate to the case where the control qubit can be selected to be an arbitrary state. This gate has potential applications to the rapid implementation of quantum algorithms such as the projective measurement algorithm. This process is decoherence-free since excited atomic states and cavity modes are not populated during the dynamics.
The main obstacle for coherent control of open quantum systems is decoherence due to different dissipation channels and the inability to precisely control experimental parameters. To overcome these problems we propose to use dissipation-assisted adiabatic passages. These are relatively fast processes where the presence of spontaneous decay rates corrects for errors due to nonadiabaticity while the system remains in a decoherence-free state and behaves as predicted for an adiabatic passage. As a concrete example we present a scheme to entangle atoms by moving them in and out of an optical cavity.