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Entanglement Transfer and C-Not Gate Implemented in a Fiber Connected 3-Atom System

Yao Deng, Yanqing Guo, D. M. Tong, Pei Pei, Dianfu Wang, Dong Mi

Published Jan 1, 2015• 0 citations
Publisher

Abstract

A robust scheme for unknown entangled state transfer and C-Not gate implemented between two spatially separated atoms is proposed. It is shown that, in the effective three-atom Ising model, two-atom unknown entangled state can be transferred from one pair of atoms to another deterministically by only repeating a simple operation of turning on/off local laser field applied on atom for two times at controlling time p2/O0. The whole time cost is less than 3p2/O0. The successful probability and the fidelity are almost 100% for small atomic spontaneous emission rate. Deterministic two-atom C-Not gate can also be implemented in this model by just turning on/off the local laser field applied on the single target atom and leaving the controlling atom in its cavity alone for a while. The whole time cost is less than p2/O0+3p?2/g2. It is demonstrated that the scheme is insensitive to cavity leakage and fiber loss.

DOI
10.1109/icnisc.2015.16

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A robust scheme for unknown entangled state transfer and C-Not gate implemented between two spatially separated atoms is proposed. It is shown that, in the effective three-atom Ising model, two-atom unknown entangled state can be transferred from one pair of atoms to another deterministically by only repeating a simple operation of turning on/off local laser field applied on atom for two times at controlling time p2/O0. The whole time cost is less than 3p2/O0. The successful probability and the fidelity are almost 100% for small atomic spontaneous emission rate. Deterministic two-atom C-Not gate can also be implemented in this model by just turning on/off the local laser field applied on the single target atom and leaving the controlling atom in its cavity alone for a while. The whole time cost is less than p2/O0+3p?2/g2. It is demonstrated that the scheme is insensitive to cavity leakage and fiber loss.
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A robust quantum state transfer scheme is discussed for three atoms that are trapped by separated cavities linked via optical fibers in a ring connection. It is shown that, under the effective three-atom Ising model, an arbitrary unknown quantum state can be transferred from one atom to another deterministically via an auxiliary atom with maximum unit fidelity. The only required operation for this scheme is replicating turning on/off the local laser fields applied to the atoms for two steps with time cost . The scheme is insensitive to cavity leakage and atomic position due to the condition Δ ≈ κ ≫ g. Another advantage of this scheme is that the cooperative influence of spontaneous emission and operating time error can reduce the time cost for maximum fidelity and thus can speed up the implementation of quantum state transfer.
A robust quantum state transfer scheme is discussed for three atoms that are trapped by separated cavities linked via optical fibers in ring-connection. It is shown that, under the effective three-atom Ising model, arbitrary quantum state can be transferred from one atom to another deterministically via an auxiliary atom with maximum unit fidelity. The only required operation for this scheme is replicating turning on/off the local laser fields applied to the atoms for two steps with time cost 2πΓ0\frac{\sqrt{2}π}{Γ_{0}}Γ0​2​π​. The scheme is insensitive to cavity leakage and atomic position due to the condition Δ≈κ≫gΔ\approx κ\gg gΔ≈κ≫g. Another advantage of this scheme is that the cooperative influence of spontaneous emission and operating time error can reduce the time cost for maximum fidelity and thus speed up the implementation of quantum state transfer.
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.
Implementation of a quantum swap\sqrt{\rm_{swap}}swap​​ gate for two distant atoms trapped in separate cavities
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.