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arXiv:quant-ph/0305116 · Physical Review A

Entangled-state preparation via dissipation-assisted adiabatic passages

Carsten Marr, Almut Beige, Gerhard Rempe

Published Sep 29, 2003• 114 citations
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Abstract

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.

DOI
10.1103/physreva.68.033817

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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.
The principal obstacle to quantum information processing with many qubits is decoherence. One source of decoherence is spontaneous emission which causes loss of energy and information. Inability to control system parameters with high precision is another possible source of error. Strategies aimed at overcoming one kind of error typically increase sensitivity to others. As a solution we propose quantum computing with dissipation-assisted quantum gates. These can be run relatively fast while achieving fidelities close to one. The success rate of each gate operation can, at least in principle, be arbitrary close to one.
Schemes are presented for preparation for W state and high-dimensional entangled states of two atoms via adiabatic passage.In these schemes,since the quantum information is encoded in atomic ground states and the system always evolves in the dark state space so that there is no population in the atomic excited state,the atomic spontaneous emission is suppressed effectively.In addition,adiabatic passage insures that these schemes are robust to the fluctuation of the experimental parameter.Compared with previous proposals,our project saves effectively resources and can be experimentally realized more easily due to simpler operation.
We propose a method to adiabatically control an atomic ensemble using a decoherence-free subspace (DFS) within a dissipative cavity. We can engineer a specific eigenstate of the system's Lindblad jump operators by injecting a field into the cavity which deconstructively interferes with the emission amplitude of the ensemble. In contrast to previous adiabatic DFS proposals, our scheme creates a DFS in the presence of collective decoherence. We therefore have the ability to engineer states that have high multiparticle entanglements which may be exploited for quantum information science or metrology. We further demonstrate a more optimized driving scheme that utilizes the knowledge of possible diabatic evolution gained from the so-called adiabatic criteria. This allows us to evolve to a desired state with exceptionally high fidelity on a timescale that does not depend on the number of atoms in the ensemble. By engineering the DFS eigenstate adiabatically, our method allows for faster state preparation than previous schemes that rely on damping into a desired state solely using dissipation.
A scheme is proposed for the generation of entangled states for multiple atoms trapped in an optical cavity via adiabatic passage. In the scheme, both the atomic system and the cavity have no probability of being excited. Thus both the atomic spontaneous emission and the cavity decay are suppressed, which makes our scheme very robust against decoherence. Taking advantage of the adiabatic process, the scheme does not require accurate adjustment of the interaction time. Furthermore, the scheme is scalable in principle. The idea can also be used for realizing phase-covariant cloning.