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Journal of the Optical Society of America B

Implementation of distributed Toffoli gates in separate cavities through virtual excitation processes

Mingfeng Chen, Li-Tuo Shen, Zhen‐Biao Yang

Published Jan 30, 2014• 4 citations
Publisher

Abstract

We propose a scheme to realize a three-qubit Toffoli gate with three atoms held in separate cavities that are coupled by optical fibers. The gate is achieved by engineering an effective asymmetric X–Y model induced by virtually manipulating the atomic excited states and photons. We study the validity of the scheme as well as the influence of dissipation by numerical simulation, and show that the scheme is robust against decoherence.

DOI
10.1364/josab.31.000400

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We propose a scheme to realize a three-qubit Toffoli gate with three atoms held in separate cavities that are coupled by optical fibers. The gate is achieved by engineering an effective asymmetric X–Y model induced by virtually manipulating the atomic excited states and photons. We study the validity of the scheme as well as the influence of dissipation by numerical simulation, and show that the scheme is robust against decoherence.
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We present a fast and effective scheme to implement the multiqubit discrete quantum Fourier transform (DQFT) for distant atoms trapped in separate cavities connected by optical fibers via a virtual-photon-induced process. The effective coupling between two distributed atoms is achieved without exciting and transporting photons through the optical fiber, and the gate operation is robust against the decoherence effect when the thermal photons in the environment are negligible. The implementation of the scheme is appealingly simple because the complex combination of quantum gate operations, which act on each two qubits in the rearranged DQFT circuit, is achieved only in one step through the interaction controlled by optical switches between two adjacent cavities. The scheme opens promising perspectives for scalable quantum communication networks and distributed quantum computation.
Abstract We propose a scheme for implementing robust SWAP gate on two distant atoms that are confined in two spatially separated single-mode optical cavities connected by an optical fiber. The SWAP gate cannot be attained by using adiabatic passage for such a physical model, but we achieve it by following transitionless quantum driving, a method of shortcuts to adiabatic passage. In addition, during the execution of the SWAP gate, none of two atoms, two cavities and the fiber is excited, and thus the virtual excitations of the fiber-cavity-atom system make the scheme very robust against the atomic spontaneous radiation and the decay of the cavities and the fiber. Numerical simulations show that the SWAP gate can be attained with high fidelity, and the present scheme is insensitive to the control errors of various parameters. The scheme may have potential applications in distributed quantum computing and quantum information process in a quantum network.
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