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International Journal of Quantum Information

Scheme for quantum state manipulation in coupled cavities

Jin‐Zhong Lin

Published Dec 5, 2016• 0 citations
Publisher

Abstract

By controlling the parameters of the system, the effective interaction between different atoms is achieved in different cavities. Based on the interaction, scheme to generate three-atom Greenberger–Horne–Zeilinger (GHZ) is proposed in coupled cavities. Spontaneous emission of excited states and decay of cavity modes can be suppressed efficiently. In addition, the scheme is robust against the variation of hopping rate between cavities.

DOI
10.1142/s0219749917500046

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By controlling the parameters of the system, the effective interaction between different atoms is achieved in different cavities. Based on the interaction, scheme to generate three-atom Greenberger–Horne–Zeilinger (GHZ) is proposed in coupled cavities. Spontaneous emission of excited states and decay of cavity modes can be suppressed efficiently. In addition, the scheme is robust against the variation of hopping rate between cavities.
A scheme is proposed to deterministically generate multi-atom Greenberger–Horne–Zeilinger (GHZ) states trapped in coupled cavities, which is based on the adiabatic passage of the dark state. The scheme does not need to adjust the interaction time accurately and is insensitive to the fluctuations of some experimental parameters. However, we should choose the appropriate Rabi frequencies of the classical fields to achieve the optimal characteristic of the system. In addition, we also demonstrate numerically that it is robust against decoherence caused by the cavity decay and atomic spontaneous emission.
We propose an efficient scheme for deterministic generating N-atom Greenberger–Horne–Zeilinger (GHZ) states in separate coupled cavities connected by optical fibers based on quantum Zeno dynamics only by one-step manipulation. Firstly, we discuss the generation of three-atom GHZ states in separate cavities. Then, the scheme is directly generalized to N-atom case without increasing new operations in experiment. The influence of decoherence induced by atomic spontaneous emission and the fibers and cavities losses is discussed by numerical calculation. The results show that the scheme is insensitive to the optical fibers decay due to a tiny excitation probability of the optical fibers during the operation.
Abstract State conversion between the Greenberger–Horne–Zeilinger (GHZ) state and the W state is a challenging open problem because these states cannot be converted to each other by just local operations and classical communication. Here we propose a cavity quantum electrodynamics method based on interference of polarized photons emitted by the atoms trapped in spatially separated optical cavities that can convert a three-atom W state to a GHZ state. We calculate the success probability and fidelity of the converted GHZ state when the cavity decay, spontaneous atomic decay and photon leakage of the cavities are taken into account for a practical system, which shows that the proposed scheme is feasible and within the reach of current experimental technology.
Abstract A fast scheme to generate Greenberger-Horne-Zeilinger states between different cavities in circuit QED systems is proposed. To implement this scheme, we design a feasible experimental device with three qubits and three cavities. In this device, all the couplings between qubit and qubit, cavity and qubit are tunable and are independent with frequencies, and thus the shortcut to adiabaticity technique can be directly applied in our scheme. It is demonstrated that the GHZ state can be generated rapidly with high fidelity in our scheme.
We propose a scheme to implement a nondestructive Greenberger–Horne–Zeilinger (GHZ) state analyzer with atoms in low-Q cavities by taking the coherent light as quantum channel. It can also be applied to generate multi-atom entanglement state with high fidelity and entanglement degree. The analysis for the effect of atomic spontaneous emission on the fidelity and homodyne detection (HD) shows that the present scheme is not only robust in the condition of a bad cavity, but also feasible with the current technology due to the relaxed experimental condition.