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Annalen der Physik

Remote Implementation of a Fredkin Gate via Virtual Excitation of an Atom‐Cavity‐Fiber System

Sun Guang-qing, Jin‐Lei Wu, Wei Niu, Wan‐Rang Yu, Xin Ji

Published Dec 1, 2019• 9 citations

Abstract

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.

DOI: 10.1002/andp.201900372

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We present two efficient methods for implementing the Fredkin (controlled swap) gate with atoms separately trapped in an array of three high-

Q

coupled cavities. The first proposal is based on large detuning interaction that the effective long-distance dipole-dipole-like interaction between two distributed target qubits is achieved by virtually excited qubits and cavities. The second one utilizes the selective resonant dynamics, which leads to a fast resonant interaction in a certain subspace while leaving others unchanged. Both schemes can achieve the standard form of the Fredkin gate in a single step without any subsequent single-qubit operation. The effects of decoherence on the performance of the gate are also analyzed in virtue of master equation, and the strictly numerical simulation reveals the average fidelity of the quantum gate is relatively high corresponding to the state-of-the-art technology.

A system consisting of two single-mode cavities spatially separated and connected by an optical fiber and multiple two-level atoms trapped in the cavities is considered. If the atoms resonantly and collectively interact with the local cavity fields but there is no direct interaction between the atoms, we show that an ideal quantum state transfer and highly reliable quantum swap, entangling, and controlled-Z gates can be deterministically realized between the distant cavities. We find that the operation of state transfer and swap, entangling, and controlled-Z gates can be greatly speeded up as number of the atoms in the cavities increases. We also notice that the effects of spontaneous emission of atoms and photon leakage out of cavity on the quantum processes can also be greatly diminished in the multiatom case.

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.