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International Journal of Quantum Information

Implementation of a quantum $\sqrt{\rm_{swap}}$ gate for two distant atoms trapped in separate cavities

Lin Xiu, Rong‐Can Yang, Xiang Chen

Published Feb 1, 2015• 2 citations
Publisher

Abstract

We present a scheme to implement a quantum [Formula: see text] gate for two-atom trapped in distant cavities connected via an optical fiber. In the whole process, the atomic system, the cavity modes and the fiber are not excited ensuring that the operation is insensitive to atomic spontaneous emission, cavity decay and the fiber loss. This scheme is significant for distributed and scalable quantum computation.

DOI
10.1142/s0219749915500033

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Implementation of a quantum swap\sqrt{\rm_{swap}}swap​​ gate for two distant atoms trapped in separate cavities
We present a scheme to implement a quantum [Formula: see text] gate for two-atom trapped in distant cavities connected via an optical fiber. In the whole process, the atomic system, the cavity modes and the fiber are not excited ensuring that the operation is insensitive to atomic spontaneous emission, cavity decay and the fiber loss. This scheme is significant for distributed and scalable quantum computation.
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.
In this paper, we propose a scheme for implementing an unconventional two-qubit geometric phase gate for two distant atoms trapped in cavities connected by an optical fiber. During the gate operation, the atoms are still in the ground states, while the cavity modes and fiber mode are displaced along a circle in the phase space. In this way, the system can acquire different geometric phases conditional upon the atomic states. We find that the operation of the geometric phase gate can be speeded up as the detuning between the cavity field and light fields decreases. Moreover, it is observed that the fidelity for the geometric phase gate is remarkably insensitive to the fluctuation of the detuning parameter. The effects of cavity decay and fiber loss on the gate have also been checked.
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.
With the quantum Zeno dynamics, we present a scheme for realizing a quantum phase gate for two atoms trapped in two separate cavities connected by an optical fiber. Compared with the previous schemes, quantum Zeno dynamics shows different evolution properties in the atom–cavity–fiber system. The scheme needs only one step to perform the gate, which largely reduces the complexity of the experiment. We also numerically simulate the influence of photon leakage and atomic spontaneous emission on the fidelity of the phase gate. The result shows that our scheme is very robust against cavity decay and very promising for realization with current experimental technology.
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.