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Optics Express

Distributed geometric quantum computation based on the optimized-control-technique in a cavity-atom system via exchanging virtual photons

M.-R. Yun, F.-Q. Guo, Meng Li, L.-L. Yan, Mang Feng, Y.-X. Li, Shi‐Lei Su

Published Feb 25, 2021• 14 citations
Publisher

Abstract

We propose a scheme for quantum geometric computation on a fiber-cavity-fiber system, in which two atoms are located in two single-mode cavities, respectively, connected with each other by optical fiber. This scheme not only has the feature of virtual excitation of photons in the cavity quantum electrodynamics (CQED) that can reduce the effect of decay effectively but also has the advantage of geometric phase to withstand noises due to its built-in noise-resilience feature and robust merit. Specifically, our proposal combined with optimized-control-technology (OCT) can reduce gate operation error by adjusting the time-dependent amplitude and phase of the resonant field which further enhances the robustness of the quantum operation. The robustness against decoherence is demonstrated numerically and the scheme may be applied in the remote quantum information processing tasks and quantum computation.

DOI
10.1364/oe.418626

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We propose a scheme for implementing quantum gates for two atoms trapped in distant cavities connected by an optical fiber. The effective long-distance coupling between the two distributed qubits is achieved without excitation and transportation of photons through the optical fiber. Since the cavity modes and fiber mode are never populated and the atoms undergo no transitions, the gate operation is insensitive to the decoherence effect when the thermal photons in the environment are negligible. The scheme opens promising perspectives for networking quantum information processors and implementing distributed and scalable 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.
A scheme is proposed for realizing geometric quantum computation with one-qubit unitary gates and NNN-qubit $(N\ensuremath{\ge}2)$ phase gates in cavity QED. In the scheme, the cavity field and excited states are virtually excited by controlling appropriately atom-field couplings and engineering adiabatic passage; thus the gate operations are insensitive to the cavity decay and the atomic spontaneous emission. Furthermore, the NNN-qubit $(N\ensuremath{\ge}2)$ geometric phase gates can be realized just by one step and the required time does not increase with the number of qubits, which can significantly reduce complexity of physical realization of practical quantum computation and quantum algorithms.
Abstract We propose an unconventional scheme for quantum entangled state distribution (QESD) and quantum state transfer (QST) based on a fiber–cavity–atom system, in which three atoms are confined, respectively, in three bimodal cavities connected with each other by optical fibers. The key feature of the scheme is the virtual excitation of photons, which yields QESD and QST between the two atoms in the edge cavities conditioned on one-step operation only on the atom in the middle cavity. No actual operation is performed on the two atoms in the edge cavities throughout the scheme. Robustness of the scheme to operational imperfection and dissipation is discussed and the results show that system fidelity is mostly above 95%. Finally, the experimental feasibility is justified using laboratory-available values.
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 Simple operations and robust results are always of interest for any quantum tasks. Herein, a novel scheme is proposed for implementing a Fredkin gate via the virtual excitation of an atom‐cavity‐fiber system. The scheme is to control the nonlocal state‐swap of two spatially separated target atoms according to the state of the control atom at hand. In the scheme, only the control atom at hand needs the laser to drive and the virtual excitation of the atom‐cavity‐fiber system effectively suppresses the decoherence. By numerical simulations, appreciated parameters are chosen and it is shown that the Fredkin gate can be implemented with high fidelity. Although the operation time error has slightly stronger influence on the fidelity than atom‐cavity coupling strength error, the robustness of the scheme can be effectively improved against the operation time error by adopting Gaussian pulse to replace the constant pulse. In addition, the scheme can be generalized to implement alternative Fredkin gates by controlling the non‐local state‐swap of two remote atoms or of two remote and spatially separated atoms, which will be undoubtedly of benefit to the distributed quantum computation and remote quantum information processing.