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Journal of Modern Optics

One-step generation of Greenberger–Horne–Zeilinger states of multi solid-state spin qubits

Sheng-li Ma, Fuli Li, Fuli Li

Published Oct 19, 2012• 3 citations
Publisher

Abstract

We propose a one-step scheme for the generation of Greenberger–Horne–Zeilinger states of multi solid-state qubits and the implementation of quantum phase gates in a system consisting of N spatially separated nitrogen-vacancy centers coupled to the whispering-gallery mode (WGM) of a microsphere cavity. The proposed scheme is based on the effective electronic dipole–dipole interaction between electron spins associated with the NV centers, which is mediated by the WGM and applying external driving laser fields. As the spontaneous emission of the excited states of the NV centers is highly suppressed and the cavity mode is only virtually excited, the scheme is insensitive to decoherence.

DOI
10.1080/09500340.2012.733436

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We propose a one-step scheme for the generation of Greenberger–Horne–Zeilinger states of multi solid-state qubits and the implementation of quantum phase gates in a system consisting of N spatially separated nitrogen-vacancy centers coupled to the whispering-gallery mode (WGM) of a microsphere cavity. The proposed scheme is based on the effective electronic dipole–dipole interaction between electron spins associated with the NV centers, which is mediated by the WGM and applying external driving laser fields. As the spontaneous emission of the excited states of the NV centers is highly suppressed and the cavity mode is only virtually excited, the scheme is insensitive to decoherence.
A cavity QED implementation of the non-adiabatic holonomic quantum computation in decoherence-free subspaces is proposed with nitrogen-vacancy centers coupled commonly to the whispering-gallery mode of a microsphere cavity, where a universal set of quantum gates can be realized on the qubits. In our implementation, with the assistant of the appropriate driving fields, the quantum evolution is insensitive to the cavity field state, which is only virtually excited. The implemented non-adiabatic holonomies, utilizing optical transitions in the Λ type of three-level configuration of the nitrogen-vacancy centers, can be used to construct a universal set of quantum gates on the encoded logical qubits. Therefore, our scheme opens up the possibility of realizing universal holonomic quantum computation with cavity assisted interaction on solid-state spins characterized by long coherence times.
An alternative scheme is proposed to generate three-dimensional entanglement with two nitrogen-vacancy (N-V) centres coupled strongly to whispering gallery modes in a silica microsphere. The present scheme takes full advantage of the ultrahigh quality factor of silica microspheres and the exceptional spin properties of N-V centres. Our numerical simulation shows that our scheme is stable to deviation of corresponding experimental parameters and insensitive to decoherence such as the excited state spontaneous emission and cavity decay. In addition, based on the same model, three-dimensional entanglement can be realized by adiabatic evolution of the dark state.
An alternative scheme is proposed for the generation of an N-qubit Greenberger-Horne-Zeilinger (GHZ) state with distant nitrogen-vacancy (N-V) centers confined in spatially separated photonic crystal (PC) nanocavities via input-output process of photon. The GHZ state is produced by the phase shift brought by the input-output photon. The certain polarized photon transmitted from a PC nanocavity side-coupled a waveguide can obtain different phase shifts due to the different spin states in diamond N-V centers and the optical spin selection rule. Our calculations show that the proposed scheme can work well with a large cavity damping rate which ensures the efficient output of photon.
We propose an efficient scheme for the realization of quantum information transfer and entanglement with nitrogen-vacancy (N-VVV) centers coupled to a high-QQQ whispering-gallery mode (WGM) microresonator. We show that based on the effective dipole-dipole interaction between the N-VVV centers mediated by the WGM, quantum information can be transferred between the N-VVV centers through Raman transitions combined with laser fields. This protocol may open up promising possibilities for quantum communications with the solid-state quantum electrodynamic cavity system.
Generating Greenberger-Horne-Zeilinger (GHZ) states of solid-state spins is of great significance for quantum metrology and quantum error correction. We propose here an efficient scheme for generating high fidelity GHZ states in a solid-state setup where multiple silicon-vacancy (SiV) centers are embedded in a quasi-one-dimensional acoustic diamond waveguide. The lattice distortion gives rise to a strong strain coupling between the orbital degree of freedom of SiV centers and the continuum phonon modes. Due to the permutation symmetry, we can take advantage of the decoherence-free subspace to avoid dissipation. Under the quantum Zeno regime, two control fields are used to achieve a ladderlike coupling structure in decoherence-free subspace along with an off-resonant two-photon Raman transition process. We calculate the pulse sequences for N=4N=4N=4 and at the same time analyze the effect of different collective decay rates. Moreover, we consider the disorder in the imperfect position of SiV centers and the inhomogeneous strain coupling. This paper may provide a feasible protocol for the generation of GHZ states in a solid-state system.